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Notebooks of Leonardo Da Vinci, The
VOLUME II   VOLUME II - SECTION XVI. PHYSICAL GEOGRAPHY
Leonardo da Vinci
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       VOLUME II - SECTION XVI. PHYSICAL GEOGRAPHY
       Leonardo's researches as to the structure of the earth and sea were
       made at a time, when the extended voyages of the Spaniards and
       Portuguese had also excited a special interest in geographical
       questions in Italy, and particularly in Tuscany. Still, it need
       scarcely surprise us to find that in deeper questions, as to the
       structure of the globe, the primitive state of the earth's surface,
       and the like, he was far in advance of his time.
       The number of passages which treat of such matters is relatively
       considerable; like almost all Leonardo's scientific notes they deal
       partly with theoretical and partly with practical questions. Some of
       his theoretical views of the motion of water were collected in a
       copied manuscript volume by an early transcriber, but without any
       acknowledgment of the source whence they were derived. This copy is
       now in the Library of the Barberini palace at Rome and was published
       under the title: "De moto e misura dell'acqua," by FRANCESCO
       CARDINALI, Bologna_ 1828. _In this work the texts are arranged under
       the following titles:_ Libr. I. Della spera dell'acqua; Libr. II.
       Del moto dell'acqua; Libr. III. Dell'onda dell'acqua; Libr. IV. Dei
       retrosi d'acqua; Libr. V. Dell'acqua cadente; Libr. VI. Delle
       rotture fatte dall'acqua; Libr. VII Delle cose portate dall'acqua;
       Libr. VIII. Dell'oncia dell'acqua e delle canne; Libr. IX. De molini
       e d'altri ordigni d'acqua.
       _The large number of isolated observations scattered through the
       manuscripts, accounts for our so frequently finding notes of new
       schemes for the arrangement of those relating to water and its
       motions, particularly in the Codex Atlanticus: I have printed
       several of these plans as an introduction to the Physical Geography,
       and I have actually arranged the texts in accordance with the clue
       afforded by one of them which is undoubtedly one of the latest notes
       referring to the subject (No._ 920_). The text given as No._ 930
       _which is also taken from a late note-book of Leonardo's, served as
       a basis for the arrangement of the first of the seven books--or
       sections--, bearing the title: Of the Nature of Water_ (Dell'acque
       in se).
       _As I have not made it any part of this undertaking to print the
       passages which refer to purely physical principles, it has also been
       necessary to exclude those practical researches which, in accordance
       with indications given in_ 920, _ought to come in as Books_ 13, 14
       _and_ 15. _I can only incidentally mention here that Leonardo--as it
       seems to me, especially in his youth--devoted a great deal of
       attention to the construction of mills. This is proved by a number
       of drawings of very careful and minute execution, which are to be
       found in the Codex Atlanticus. Nor was it possible to include his
       considerations on the regulation of rivers, the making of canals and
       so forth (No._ 920, _Books_ 10, 11 _and_ 12_); but those passages in
       which the structure of a canal is directly connected with notices of
       particular places will be found duly inserted under section XVII
       (Topographical notes). In Vol. I, No._ 5 _the text refers to
       canal-making in general._
       _On one point only can the collection of passages included under the
       general heading of Physical Geography claim to be complete. When
       comparing and sorting the materials for this work I took particular
       care not to exclude or omit any text in which a geographical name
       was mentioned even incidentally, since in all such researches the
       chief interest, as it appeared to me, attached to the question
       whether these acute observations on the various local
       characteristics of mountains, rivers or seas, had been made by
       Leonardo himself, and on the spot. It is self-evident that the few
       general and somewhat superficial observations on the Rhine and the
       Danube, on England and Flanders, must have been obtained from maps
       or from some informants, and in the case of Flanders Leonardo
       himself acknowledges this (see No._ 1008_). But that most of the
       other and more exact observations were made, on the spot, by
       Leonardo himself, may be safely assumed from their method and the
       style in which he writes of them; and we should bear it in mind that
       in all investigations, of whatever kind, experience is always spoken
       of as the only basis on which he relies. Incidentally, as in No._
       984, _he thinks it necessary to allude to the total absence of all
       recorded observations._
       I. INTRODUCTION.
       Schemes for the arrangement of the materials (919-928)
       919.
       These books contain in the beginning: Of the nature of water itself
       in its motions; the others treat of the effects of its currents,
       which change the world in its centre and its shape.
       920.
       DIVISIONS OF THE BOOK.
       Book 1 of water in itself.
       Book 2 of the sea.
       Book 3 of subterranean rivers.
       Book 4 of rivers.
       Book 5 of the nature of the abyss.
       Book 6 of the obstacles.
       Book 7 of gravels.
       Book 8 of the surface of water.
       Book 9 of the things placed therein.
       Book 10 of the repairing of rivers.
       Book 11 of conduits.
       Book 12 of canals.
       Book 13 of machines turned by water.
       Book 14 of raising water.
       Book 15 of matters worn away by water.
       921.
       First you shall make a book treating of places occupied by fresh
       waters, and the second by salt waters, and the third, how by the
       disappearance of these, our parts of the world were made lighter and
       in consequence more remote from the centre of the world.
       922.
       First write of all water, in each of its motions; then describe all
       its bottoms and their various materials, always referring to the
       propositions concerning the said waters; and let the order be good,
       for otherwise the work will be confused.
       Describe all the forms taken by water from its greatest to its
       smallest wave, and their causes.
       923.
       Book 9, of accidental risings of water.
       924.
       THE ORDER OF THE BOOK.
       Place at the beginning what a river can effect.
       925.
       A book of driving back armies by the force of a flood made by
       releasing waters.
       A book showing how the waters safely bring down timber cut in the
       mountains.
       A book of boats driven against the impetus of rivers.
       A book of raising large bridges higher. Simply by the swelling of
       the waters.
       A book of guarding against the impetus of rivers so that towns may
       not be damaged by them.
       926.
       A book of the ordering of rivers so as to preserve their banks.
       A book of the mountains, which would stand forth and become land, if
       our hemisphere were to be uncovered by the water.
       A book of the earth carried down by the waters to fill up the great
       abyss of the seas.
       A book of the ways in which a tempest may of itself clear out filled
       up sea-ports.
       A book of the shores of rivers and of their permanency.
       A book of how to deal with rivers, so that they may keep their
       bottom scoured by their own flow near the cities they pass.
       A book of how to make or to repair the foundations for bridges over
       the rivers.
       A book of the repairs which ought to be made in walls and banks of
       rivers where the water strikes them.
       A book of the formation of hills of sand or gravel at great depths
       in water.
       927.
       Water gives the first impetus to its motion.
       A book of the levelling of waters by various means,
       A book of diverting rivers from places where they do mischief.
       A book of guiding rivers which occupy too much ground.
       A book of parting rivers into several branches and making them
       fordable.
       A book of the waters which with various currents pass through seas.
       A book of deepening the beds of rivers by means of currents of
       water.
       A book of controlling rivers so that the little beginnings of
       mischief, caused by them, may not increase.
       A book of the various movements of waters passing through channels
       of different forms.
       A book of preventing small rivers from diverting the larger one into
       which their waters run.
       A book of the lowest level which can be found in the current of the
       surface of rivers.
       A book of the origin of rivers which flow from the high tops of
       mountains.
       A book of the various motions of waters in their rivers.
       928.
       [1] Of inequality in the concavity of a ship. [Footnote 1: The first
       line of this passage was added subsequently, evidently as a
       correction of the following line.]
       [1] A book of the inequality in the curve of the sides of ships.
       [1] A book of the inequality in the position of the tiller.
       [1] A book of the inequality in the keel of ships.
       [2] A book of various forms of apertures by which water flows out.
       [3] A book of water contained in vessels with air, and of its
       movements.
       [4] A book of the motion of water through a syphon. [Footnote 7:
       _cicognole_, see No. 966, 11, 17.]
       [5] A book of the meetings and union of waters coming from different
       directions.
       [6] A book of the various forms of the banks through which rivers
       pass.
       [7] A book of the various forms of shoals formed under the sluices
       of rivers.
       [8] A book of the windings and meanderings of the currents of
       rivers.
       [9] A book of the various places whence the waters of rivers are
       derived.
       [10] A book of the configuration of the shores of rivers and of
       their permanency.
       [11] A book of the perpendicular fall of water on various objects.
       [12] Abook of the course of water when it is impeded in various
       places.
       [12] A book of the various forms of the obstacles which impede the
       course of waters.
       [13] A book of the concavity and globosity formed round various
       objects at the bottom.
       [14] Abook of conducting navigable canals above or beneath the
       rivers which intersect them.
       [15] A book of the soils which absorb water in canals and of
       repairing them.
       [16] Abook of creating currents for rivers, which quit their beds,
       [and] for rivers choked with soil.
       General introduction (929)
       929.
       THE BEGINNING OF THE TREATISE ON WATER.
       By the ancients man has been called the world in miniature; and
       certainly this name is well bestowed, because, inasmuch as man is
       composed of earth, water, air and fire, his body resembles that of
       the earth; and as man has in him bones the supports and framework of
       his flesh, the world has its rocks the supports of the earth; as man
       has in him a pool of blood in which the lungs rise and fall in
       breathing, so the body of the earth has its ocean tide which
       likewise rises and falls every six hours, as if the world breathed;
       as in that pool of blood veins have their origin, which ramify all
       over the human body, so likewise the ocean sea fills the body of the
       earth with infinite springs of water. The body of the earth lacks
       sinews and this is, because the sinews are made expressely for
       movements and, the world being perpetually stable, no movement takes
       place, and no movement taking place, muscles are not necessary.
       --But in all other points they are much alike.
       I.
       OF THE NATURE OF WATER.
       The arrangement of Book I.
       930.
       THE ORDER OF THE FIRST BOOK ON WATER.
       Define first what is meant by height and depth; also how the
       elements are situated one inside another. Then, what is meant by
       solid weight and by liquid weight; but first what weight and
       lightness are in themselves. Then describe why water moves, and why
       its motion ceases; then why it becomes slower or more rapid; besides
       this, how it always falls, being in contact with the air but lower
       than the air. And how water rises in the air by means of the heat of
       the sun, and then falls again in rain; again, why water springs
       forth from the tops of mountains; and if the water of any spring
       higher than the ocean can pour forth water higher than the surface
       of that ocean. And how all the water that returns to the ocean is
       higher than the sphere of waters. And how the waters of the
       equatorial seas are higher than the waters of the North, and higher
       beneath the body of the sun than in any part of the equatorial
       circle; for experiment shows that under the heat of a burning brand
       the water near the brand boils, and the water surrounding this
       ebullition always sinks with a circular eddy. And how the waters of
       the North are lower than the other seas, and more so as they become
       colder, until they are converted into ice.
       Definitions (931-932)
       931.
       OF WHAT IS WATER.
       Among the four elements water is the second both in weight and in
       instability.
       932.
       THE BEGINNING OF THE BOOK ON WATER.
       Sea is the name given to that water which is wide and deep, in which
       the waters have not much motion.
       [Footnote: Only the beginning of this passage is here given, the
       remainder consists of definitions which have no direct bearing on
       the subject.]
       Of the surface of the water in relation to the globe (933-936)
       933.
       The centres of the sphere of water are two, one universal and common
       to all water, the other particular. The universal one is that which
       is common to all waters not in motion, which exist in great
       quantities. As canals, ditches, ponds, fountains, wells, dead
       rivers, lakes, stagnant pools and seas, which, although they are at
       various levels, have each in itself the limits of their superficies
       equally distant from the centre of the earth, such as lakes placed
       at the tops of high mountains; as the lake near Pietra Pana and the
       lake of the Sybil near Norcia; and all the lakes that give rise to
       great rivers, as the Ticino from Lago Maggiore, the Adda from the
       lake of Como, the Mincio from the lake of Garda, the Rhine from the
       lakes of Constance and of Chur, and from the lake of Lucerne, like
       the Tigris which passes through Asia Minor carrying with it the
       waters of three lakes, one above the other at different heights of
       which the highest is Munace, the middle one Pallas, and the lowest
       Triton; the Nile again flows from three very high lakes in Ethiopia.
       [Footnote 5: _Pietra Pana_, a mountain near Florence. If for Norcia,
       we may read Norchia, the remains of the Etruscan city near Viterbo,
       there can be no doubt that by '_Lago della Sibilla_'--a name not
       known elsewhere, so far as I can learn--Leonardo meant _Lago di
       Vico_ (Lacus Ciminus, Aen. 7).]
       934.
       OF THE CENTRE OF THE OCEAN.
       The centre of the sphere of waters is the true centre of the globe
       of our world, which is composed of water and earth, having the shape
       of a sphere. But, if you want to find the centre of the element of
       the earth, this is placed at a point equidistant from the surface of
       the ocean, and not equidistant from the surface of the earth; for it
       is evident that this globe of earth has nowhere any perfect
       rotundity, excepting in places where the sea is, or marshes or other
       still waters. And every part of the earth that rises above the water
       is farther from the centre.
       935.
       OF THE SEA WHICH CHANGES THE WEIGHT OF THE EARTH.
       The shells, oysters, and other similar animals, which originate in
       sea-mud, bear witness to the changes of the earth round the centre
       of our elements. This is proved thus: Great rivers always run
       turbid, being coloured by the earth, which is stirred by the
       friction of their waters at the bottom and on their shores; and this
       wearing disturbs the face of the strata made by the layers of
       shells, which lie on the surface of the marine mud, and which were
       produced there when the salt waters covered them; and these strata
       were covered over again from time to time, with mud of various
       thickness, or carried down to the sea by the rivers and floods of
       more or less extent; and thus these layers of mud became raised to
       such a height, that they came up from the bottom to the air. At the
       present time these bottoms are so high that they form hills or high
       mountains, and the rivers, which wear away the sides of these
       mountains, uncover the strata of these shells, and thus the softened
       side of the earth continually rises and the antipodes sink closer to
       the centre of the earth, and the ancient bottoms of the seas have
       become mountain ridges.
       936.
       Let the earth make whatever changes it may in its weight, the
       surface of the sphere of waters can never vary in its equal distance
       from the centre of the world.
       Of the proportion of the mass of water to that of the earth (937-938)
       937.
       WHETHER THE EARTH IS LESS THAN THE WATER.
       Some assert that it is true that the earth, which is not covered by
       water is much less than that covered by water. But considering the
       size of 7000 miles in diameter which is that of this earth, we may
       conclude the water to be of small depth.
       938.
       OF THE EARTH.
       The great elevations of the peaks of the mountains above the sphere
       of the water may have resulted from this that: a very large portion
       of the earth which was filled with water that is to say the vast
       cavern inside the earth may have fallen in a vast part of its vault
       towards the centre of the earth, being pierced by means of the
       course of the springs which continually wear away the place where
       they pass.
       Sinking in of countries like the Dead Sea in Syria, that is Sodom
       and Gomorrah.
       It is of necessity that there should be more water than land, and
       the visible portion of the sea does not show this; so that there
       must be a great deal of water inside the earth, besides that which
       rises into the lower air and which flows through rivers and springs.
       [Footnote: The small sketch below on the left, is placed in the
       original close to the text referring to the Dead Sea.]
       The theory of Plato (939)
       939.
       THE FIGURES OF THE ELEMENTS.
       Of the figures of the elements; and first as against those who deny
       the opinions of Plato, and who say that if the elements include one
       another in the forms attributed to them by Plato they would cause a
       vacuum one within the other. I say it is not true, and I here prove
       it, but first I desire to propound some conclusions. It is not
       necessary that the elements which include each other should be of
       corresponding magnitude in all the parts, of that which includes and
       of that which is included. We see that the sphere of the waters
       varies conspicuously in mass from the surface to the bottom, and
       that, far from investing the earth when that was in the form of a
       cube that is of 8 angles as Plato will have it, that it invests the
       earth which has innumerable angles of rock covered by the water and
       various prominences and concavities, and yet no vacuum is generated
       between the earth and water; again, the air invests the sphere of
       waters together with the mountains and valleys, which rise above
       that sphere, and no vacuum remains between the earth and the air, so
       that any one who says a vacuum is generated, speaks foolishly.
       But to Plato I would reply that the surface of the figures which
       according to him the elements would have, could not exist.
       That the flow of rivers proves the slope of the land (940)
       940.
       PROVES HOW THE EARTH IS NOT GLOBULAR AND NOT BEING GLOBULAR CANNOT
       HAVE A COMMON CENTRE.
       We see the Nile come from Southern regions and traverse various
       provinces, running towards the North for a distance of 3000 miles
       and flow into the Mediterranean by the shores of Egypt; and if we
       will give to this a fall of ten braccia a mile, as is usually
       allowed to the course of rivers in general, we shall find that the
       Nile must have its mouth ten miles lower than its source. Again, we
       see the Rhine, the Rhone and the Danube starting from the German
       parts, almost the centre of Europe, and having a course one to the
       East, the other to the North, and the last to Southern seas. And if
       you consider all this you will see that the plains of Europe in
       their aggregate are much higher than the high peaks of the maritime
       mountains; think then how much their tops must be above the sea
       shores.
       Theory of the elevation of water within the mountains (940)
       941.
       OF THE HEAT THAT IS IN THE WORLD.
       Where there is life there is heat, and where vital heat is, there is
       movement of vapour. This is proved, inasmuch as we see that the
       element of fire by its heat always draws to itself damp vapours and
       thick mists as opaque clouds, which it raises from seas as well as
       lakes and rivers and damp valleys; and these being drawn by degrees
       as far as the cold region, the first portion stops, because heat and
       moisture cannot exist with cold and dryness; and where the first
       portion stops the rest settle, and thus one portion after another
       being added, thick and dark clouds are formed. They are often wafted
       about and borne by the winds from one region to another, where by
       their density they become so heavy that they fall in thick rain; and
       if the heat of the sun is added to the power of the element of fire,
       the clouds are drawn up higher still and find a greater degree of
       cold, in which they form ice and fall in storms of hail. Now the
       same heat which holds up so great a weight of water as is seen to
       rain from the clouds, draws them from below upwards, from the foot
       of the mountains, and leads and holds them within the summits of the
       mountains, and these, finding some fissure, issue continuously and
       cause rivers.
       The relative height of the surface of the sea to that of the land (942-945)
       942.
       OF THE SEA, WHICH TO MANY FOOLS APPEARS TO BE HIGHER THAN THE EARTH
       WHICH FORMS ITS SHORE.
       _b d_ is a plain through which a river flows to the sea; this plain
       ends at the sea, and since in fact the dry land that is uncovered is
       not perfectly level--for, if it were, the river would have no
       motion--as the river does move, this place is a slope rather than a
       plain; hence this plain _d b_ so ends where the sphere of water
       begins that if it were extended in a continuous line to _b a_ it
       would go down beneath the sea, whence it follows that the sea _a c
       b_ looks higher than the dry land.
       Obviously no portions of dry land left uncovered by water can ever
       be lower than the surface of the watery sphere.
       943.
       OF CERTAIN PERSONS WHO SAY THE WATERS WERE HIGHER THAN THE DRY LAND.
       Certainly I wonder not a little at the common opinion which is
       contrary to truth, but held by the universal consent of the judgment
       of men. And this is that all are agreed that the surface of the sea
       is higher than the highest peaks of the mountains; and they allege
       many vain and childish reasons, against which I will allege only one
       simple and short reason; We see plainly that if we could remove the
       shores of the sea, it would invest the whole earth and make it a
       perfect sphere. Now, consider how much earth would be carried away
       to enable the waves of the sea to cover the world; therefore that
       which would be carried away must be higher than the sea-shore.
       944.
       THE OPINION OF SOME PERSONS WHO SAY THAT THE WATER OF SOME SEAS IS
       HIGHER THAN THE HIGHEST SUMMITS OF MOUNTAINS; AND NEVERTHELESS THE
       WATER WAS FORCED UP TO THESE SUMMITS.
       Water would not move from place to place if it were not that it
       seeks the lowest level and by a natural consequence it never can
       return to a height like that of the place where it first on issuing
       from the mountain came to light. And that portion of the sea which,
       in your vain imagining, you say was so high that it flowed over the
       summits of the high mountains, for so many centuries would be
       swallowed up and poured out again through the issue from these
       mountains. You can well imagine that all the time that Tigris and
       Euphrates
       945.
       have flowed from the summits of the mountains of Armenia, it must be
       believed that all the water of the ocean has passed very many times
       through these mouths. And do you not believe that the Nile must have
       sent more water into the sea than at present exists of all the
       element of water? Undoubtedly, yes. And if all this water had fallen
       away from this body of the earth, this terrestrial machine would
       long since have been without water. Whence we may conclude that the
       water goes from the rivers to the sea, and from the sea to the
       rivers, thus constantly circulating and returning, and that all the
       sea and the rivers have passed through the mouth of the Nile an
       infinite number of times [Footnote: _Moti Armeni, Ermini_ in the
       original, in M. RAVAISSON'S transcript _"monti ernini [le loro
       ruine?]"_. He renders this _"Le Tigre et l'Euphrate se sont deverses
       par les sommets des montagnes [avec leurs eaux destructives?] on
       pent cro're" &c. Leonardo always writes _Ermini, Erminia_, for
       _Armeni, Armenia_ (Arabic: _Irminiah_). M. RAVAISSON also deviates
       from the original in his translation of the following passage: "_Or
       tu ne crois pas que le Nil ait mis plus d'eau dans la mer qu'il n'y
       en a a present dans tout l'element de l'eau. Il est certain que si
       cette eau etait tombee_" &c.]
       II. ON THE OCEAN.
       Refutation of Pliny's theory as to the saltness of the sea (946-947)
       946.
       WHY WATER IS SALT.
       Pliny says in his second book, chapter 103, that the water of the
       sea is salt because the heat of the sun dries up the moisture and
       drinks it up; and this gives to the wide stretching sea the savour
       of salt. But this cannot be admitted, because if the saltness of the
       sea were caused by the heat of the sun, there can be no doubt that
       lakes, pools and marshes would be so much the more salt, as their
       waters have less motion and are of less depth; but experience shows
       us, on the contrary, that these lakes have their waters quite free
       from salt. Again it is stated by Pliny in the same chapter that this
       saltness might originate, because all the sweet and subtle portions
       which the heat attracts easily being taken away, the more bitter and
       coarser part will remain, and thus the water on the surface is
       fresher than at the bottom [Footnote 22: Compare No. 948.]; but this
       is contradicted by the same reason given above, which is, that the
       same thing would happen in marshes and other waters, which are dried
       up by the heat. Again, it has been said that the saltness of the sea
       is the sweat of the earth; to this it may be answered that all the
       springs of water which penetrate through the earth, would then be
       salt. But the conclusion is, that the saltness of the sea must
       proceed from the many springs of water which, as they penetrate into
       the earth, find mines of salt and these they dissolve in part, and
       carry with them to the ocean and the other seas, whence the clouds,
       the begetters of rivers, never carry it up. And the sea would be
       salter in our times than ever it was at any time; and if the
       adversary were to say that in infinite time the sea would dry up or
       congeal into salt, to this I answer that this salt is restored to
       the earth by the setting free of that part of the earth which rises
       out of the sea with the salt it has acquired, and the rivers return
       it to the earth under the sea.
       [Footnote: See PLINY, Hist. Nat. II, CIII [C]. _Itaque Solis ardore
       siccatur liquor: et hoc esse masculum sidus accepimus, torrens
       cuncta sorbensque._ (cp. CIV.) _Sic mari late patenti saporem
       incoqui salis, aut quia exhausto inde dulci tenuique, quod facillime
       trahat vis ignea, omne asperius crassiusque linquatur: ideo summa
       aequorum aqua dulciorem profundam; hanc esse veriorem causam, quam
       quod mare terrae sudor sit aeternus: aut quia plurimum ex arido
       misceatur illi vapore: aut quia terrae natura sicut medicatas aquas
       inficiat_ ... (cp. CV): _altissimum mare XV. stadiorum Fabianus
       tradit. Alii n Ponto coadverso Coraxorum gentis (vocant B Ponti)
       trecentis fere a continenti stadiis immensam altitudinem maris
       tradunt, vadis nunquam repertis._ (cp. CVI [CIII]) _Mirabilius id
       faciunt aquae dulces, juxta mare, ut fistulis emicantes. Nam nec
       aquarum natura a miraculis cessat. Dulces mari invehuntur, leviores
       haud dubie. Ideo et marinae, quarum natura gravior, magis invecta
       sustinent. Quaedam vero et dulces inter se supermeant alias._]
       947.
       For the third and last reason we will say that salt is in all
       created things; and this we learn from water passed over the ashes
       and cinders of burnt things; and the urine of every animal, and the
       superfluities issuing from their bodies, and the earth into which
       all things are converted by corruption.
       But,--to put it better,--given that the world is everlasting, it
       must be admitted that its population will also be eternal; hence the
       human species has eternally been and would be consumers of salt; and
       if all the mass of the earth were to be turned into salt, it would
       not suffice for all human food [Footnote 27: That is, on the
       supposition that salt, once consumed, disappears for ever.]; whence
       we are forced to admit, either that the species of salt must be
       everlasting like the world, or that it dies and is born again like
       the men who devour it. But as experience teaches us that it does not
       die, as is evident by fire, which does not consume it, and by water
       which becomes salt in proportion to the quantity dissolved in
       it,--and when it is evaporated the salt always remains in the
       original quantity--it must pass through the bodies of men either in
       the urine or the sweat or other excretions where it is found again;
       and as much salt is thus got rid of as is carried every year into
       towns; therefore salt is dug in places where there is urine.-- Sea
       hogs and sea winds are salt.
       We will say that the rains which penetrate the earth are what is
       under the foundations of cities with their inhabitants, and are what
       restore through the internal passages of the earth the saltness
       taken from the sea; and that the change in the place of the sea,
       which has been over all the mountains, caused it to be left there in
       the mines found in those mountains, &c.
       The characteristics of sea water (948-949)
       948.
       The waters of the salt sea are fresh at the greatest depths.
       949.
       THAT THE OCEAN DOES NOT PENETRATE UNDER THE EARTH.
       The ocean does not penetrate under the earth, and this we learn from
       the many and various springs of fresh water which, in many parts of
       the ocean make their way up from the bottom to the surface. The same
       thing is farther proved by wells dug beyond the distance of a mile
       from the said ocean, which fill with fresh water; and this happens
       because the fresh water is lighter than salt water and consequently
       more penetrating.
       Which weighs most, water when frozen or when not frozen?
       FRESH WATER PENETRATES MORE AGAINST SALT WATER THAN SALT WATER
       AGAINST FRESH WATER.
       That fresh water penetrates more against salt water, than salt water
       against fresh is proved by a thin cloth dry and old, hanging with
       the two opposite ends equally low in the two different waters, the
       surfaces of which are at an equal level; and it will then be seen
       how much higher the fresh water will rise in this piece of linen
       than the salt; by so much is the fresh lighter than the salt.
       On the formation of Gulfs (950-951)
       950.
       All inland seas and the gulfs of those seas, are made by rivers
       which flow into the sea.
       951.
       HERE THE REASON IS GIVEN OF THE EFFECTS PRODUCED BY THE WATERS IN
       THE ABOVE MENTIONED PLACE.
       All the lakes and all the gulfs of the sea and all inland seas are
       due to rivers which distribute their waters into them, and from
       impediments in their downfall into the Mediterranean --which divides
       Africa from Europe and Europe from Asia by means of the Nile and the
       Don which pour their waters into it. It is asked what impediment is
       great enough to stop the course of the waters which do not reach the
       ocean.
       On the encroachments of the sea on the land and vice versa (952-954)
       952.
       OF WAVES.
       A wave of the sea always breaks in front of its base, and that
       portion of the crest will then be lowest which before was highest.
       [Footnote: The page of FRANCESCO DI GIORGIO'S _Trattato_, on which
       Leonardo has written this remark, contains some notes on the
       construction of dams, harbours &c.]
       953.
       That the shores of the sea constantly acquire more soil towards the
       middle of the sea; that the rocks and promontories of the sea are
       constantly being ruined and worn away; that the Mediterranean seas
       will in time discover their bottom to the air, and all that will be
       left will be the channel of the greatest river that enters it; and
       this will run to the ocean and pour its waters into that with those
       of all the rivers that are its tributaries.
       954.
       How the river Po, in a short time might dry up the Adriatic sea in
       the same way as it has dried up a large part of Lombardy.
       The ebb and flow of the tide (955-960)
       955.
       Where there is a larger quantity of water, there is a greater flow
       and ebb, but the contrary in narrow waters.
       Look whether the sea is at its greatest flow when the moon is half
       way over our hemisphere [on the meridian].
       956.
       Whether the flow and ebb are caused by the moon or the sun, or are
       the breathing of this terrestrial machine. That the flow and ebb are
       different in different countries and seas.
       [Footnote: 1. Allusion may here be made to the mythological
       explanation of the ebb and flow given in the Edda. Utgardloki says
       to Thor (Gylfaginning 48): "When thou wert drinking out of the horn,
       and it seemed to thee that it was slow in emptying a wonder befell,
       which I should not have believed possible: the other end of the horn
       lay in the sea, which thou sawest not; but when thou shalt go to the
       sea, thou shalt see how much thou hast drunk out of it. And that men
       now call the ebb tide."
       Several passages in various manuscripts treat of the ebb and flow.
       In collecting them I have been guided by the rule only to transcribe
       those which named some particular spot.]
       957.
       Book 9 of the meeting of rivers and their flow and ebb. The cause is
       the same in the sea, where it is caused by the straits of Gibraltar.
       And again it is caused by whirlpools.
       958.
       OF THE FLOW AND EBB.
       All seas have their flow and ebb in the same period, but they seem
       to vary because the days do not begin at the same time throughout
       the universe; in such wise as that when it is midday in our
       hemisphere, it is midnight in the opposite hemisphere; and at the
       Eastern boundary of the two hemispheres the night begins which
       follows on the day, and at the Western boundary of these hemispheres
       begins the day, which follows the night from the opposite side.
       Hence it is to be inferred that the above mentioned swelling and
       diminution in the height of the seas, although they take place in
       one and the same space of time, are seen to vary from the above
       mentioned causes. The waters are then withdrawn into the fissures
       which start from the depths of the sea and which ramify inside the
       body of the earth, corresponding to the sources of rivers, which are
       constantly taking from the bottom of the sea the water which has
       flowed into it. A sea of water is incessantly being drawn off from
       the surface of the sea. And if you should think that the moon,
       rising at the Eastern end of the Mediterranean sea must there begin
       to attract to herself the waters of the sea, it would follow that we
       must at once see the effect of it at the Eastern end of that sea.
       Again, as the Mediterranean sea is about the eighth part of the
       circumference of the aqueous sphere, being 3000 miles long, while
       the flow and ebb only occur 4 times in 24 hours, these results would
       not agree with the time of 24 hours, unless this Mediterranean sea
       were six thousand miles in length; because if such a superabundance
       of water had to pass through the straits of Gibraltar in running
       behind the moon, the rush of the water through that strait would be
       so great, and would rise to such a height, that beyond the straits
       it would for many miles rush so violently into the ocean as to cause
       floods and tremendous seething, so that it would be impossible to
       pass through. This agitated ocean would afterwards return the waters
       it had received with equal fury to the place they had come from, so
       that no one ever could pass through those straits. Now experience
       shows that at every hour they are passed in safety, but when the
       wind sets in the same direction as the current, the strong ebb
       increases [Footnote 23: In attempting to get out of the
       Mediterranean, vessels are sometimes detained for a considerable
       time; not merely by the causes mentioned by Leonardo but by the
       constant current flowing eastwards through the middle of the straits
       of Gibraltar.]. The sea does not raise the water that has issued
       from the straits, but it checks them and this retards the tide; then
       it makes up with furious haste for the time it has lost until the
       end of the ebb movement.
       959.
       That the flow and ebb are not general; for on the shore at Genoa
       there is none, at Venice two braccia, between England and Flanders
       18 braccia. That in the straits of Sicily the current is very strong
       because all the waters from the rivers that flow into the Adriatic
       pass there.
       [Footnote: A few more recent data may be given here to facilitate
       comparison. In the Adriatic the tide rises 2 and 1/2 feet, at
       Terracina 1 1/4. In the English channel between Calais and Kent it
       rises from 18 to 20 feet. In the straits of Messina it rises no more
       than 2 1/2 feet, and that only in stormy weather, but the current is
       all the stronger. When Leonardo accounts for this by the southward
       flow of all the Italian rivers along the coasts, the explanation is
       at least based on a correct observation; namely that a steady
       current flows southwards along the coast of Calabria and another
       northwards, along the shores of Sicily; he seems to infer, from the
       direction of the fust, that the tide in the Adriatic is caused by
       it.]
       960.
       In the West, near to Flanders, the sea rises and decreases every 6
       hours about 20 braccia, and 22 when the moon is in its favour; but
       20 braccia is the general rule, and this rule, as it is evident,
       cannot have the moon for its cause. This variation in the increase
       and decrease of the sea every 6 hours may arise from the damming up
       of the waters, which are poured into the Mediterranean by the
       quantity of rivers from Africa, Asia and Europe, which flow into
       that sea, and the waters which are given to it by those rivers; it
       pours them to the ocean through the straits of Gibraltar, between
       Abila and Calpe [Footnote 5: _Abila_, Lat. _Abyla_, Gr. , now
       Sierra _Ximiera_ near Ceuta; _Calpe_, Lat. _Calpe_. Gr., now
       Gibraltar. Leonardo here uses the ancient names of the rocks, which
       were known as the Pillars of Hercules.]. That ocean extends to the
       island of England and others farther North, and it becomes dammed up
       and kept high in various gulfs. These, being seas of which the
       surface is remote from the centre of the earth, have acquired a
       weight, which as it is greater than the force of the incoming waters
       which cause it, gives this water an impetus in the contrary
       direction to that in which it came and it is borne back to meet the
       waters coming out of the straits; and this it does most against the
       straits of Gibraltar; these, so long as this goes on, remain dammed
       up and all the water which is poured out meanwhile by the
       aforementioned rivers, is pent up [in the Mediterranean]; and this
       might be assigned as the cause of its flow and ebb, as is shown in
       the 21st of the 4th of my theory.
       III.
       SUBTERRANEAN WATER COURSES.
       Theory of the circulation of the waters (961-962)
       961.
       Very large rivers flow under ground.
       962.
       This is meant to represent the earth cut through in the middle,
       showing the depths of the sea and of the earth; the waters start
       from the bottom of the seas, and ramifying through the earth they
       rise to the summits of the mountains, flowing back by the rivers and
       returning to the sea.
       Observations in support of the hypothesis (963-969)
       963.
       The waters circulate with constant motion from the utmost depths of
       the sea to the highest summits of the mountains, not obeying the
       nature of heavy matter; and in this case it acts as does the blood
       of animals which is always moving from the sea of the heart and
       flows to the top of their heads; and here it is that veins burst--as
       one may see when a vein bursts in the nose, that all the blood from
       below rises to the level of the burst vein. When the water rushes
       out of a burst vein in the earth it obeys the nature of other things
       heavier than the air, whence it always seeks the lowest places. [7]
       These waters traverse the body of the earth with infinite
       ramifications.
       [Footnote: The greater part of this passage has been given as No.
       849 in the section on Anatomy.]
       964.
       The same cause which stirs the humours in every species of animal
       body and by which every injury is repaired, also moves the waters
       from the utmost depth of the sea to the greatest heights.
       965.
       It is the property of water that it constitutes the vital human of
       this arid earth; and the cause which moves it through its ramified
       veins, against the natural course of heavy matters, is the same
       property which moves the humours in every species of animal body.
       But that which crowns our wonder in contemplating it is, that it
       rises from the utmost depths of the sea to the highest tops of the
       mountains, and flowing from the opened veins returns to the low
       seas; then once more, and with extreme swiftness, it mounts again
       and returns by the same descent, thus rising from the inside to the
       outside, and going round from the lowest to the highest, from whence
       it rushes down in a natural course. Thus by these two movements
       combined in a constant circulation, it travels through the veins of
       the earth.
       966.
       WHETHER WATER RISES FROM THE SEA TO THE TOPS OF MOUNTAINS.
       The water of the ocean cannot make its way from the bases to the
       tops of the mountains which bound it, but only so much rises as the
       dryness of the mountain attracts. And if, on the contrary, the rain,
       which penetrates from the summit of the mountain to the base, which
       is the boundary of the sea, descends and softens the slope opposite
       to the said mountain and constantly draws the water, like a syphon
       [Footnote 11: Cicognola, Syphon. See Vol. I, Pl. XXIV, No. 1.] which
       pours through its longest side, it must be this which draws up the
       water of the sea; thus if _s n_ were the surface of the sea, and the
       rain descends from the top of the mountain _a_ to _n_ on one side,
       and on the other sides it descends from _a_ to _m_, without a doubt
       this would occur after the manner of distilling through felt, or as
       happens through the tubes called syphons [Footnote 17: Cicognola,
       Syphon. See Vol. I, Pl. XXIV, No. 1.]. And at all times the water
       which has softened the mountain, by the great rain which runs down
       the two opposite sides, would constantly attract the rain _a n_, on
       its longest side together with the water from the sea, if that side
       of the mountain _a m_ were longer than the other _a n_; but this
       cannot be, because no part of the earth which is not submerged by
       the ocean can be lower than that ocean.
       967.
       OF SPRINGS OF WATER ON THE TOPS OF MOUNTAINS.
       It is quite evident that the whole surface of the ocean--when there
       is no storm--is at an equal distance from the centre of the earth,
       and that the tops of the mountains are farther from this centre in
       proportion as they rise above the surface of that sea; therefore if
       the body of the earth were not like that of man, it would be
       impossible that the waters of the sea--being so much lower than the
       mountains--could by their nature rise up to the summits of these
       mountains. Hence it is to be believed that the same cause which
       keeps the blood at the top of the head in man keeps the water at the
       summits of the mountains.
       [Footnote: This conception of the rising of the blood, which has
       given rise to the comparison, was recognised as erroneous by
       Leonardo himself at a later period. It must be remembered that the
       MS. A, from which these passages are taken, was written about twenty
       years earlier than the MS. Leic. (Nos. 963 and 849) and twenty-five
       years before the MS. W. An. IV.
       There is, in the original a sketch with No. 968 which is not
       reproduced. It represents a hill of the same shape as that shown at
       No. 982. There are veins, or branched streams, on the side of the
       hill, like those on the skull Pl. CVIII, No. 4]
       968.
       IN CONFIRMATION OF WHY THE WATER GOES TO THE TOPS OF MOUNTAINS.
       I say that just as the natural heat of the blood in the veins keeps
       it in the head of man,--for when the man is dead the cold blood
       sinks to the lower parts--and when the sun is hot on the head of a
       man the blood increases and rises so much, with other humours, that
       by pressure in the veins pains in the head are often caused; in the
       same way veins ramify through the body of the earth, and by the
       natural heat which is distributed throughout the containing body,
       the water is raised through the veins to the tops of mountains. And
       this water, which passes through a closed conduit inside the body of
       the mountain like a dead thing, cannot come forth from its low place
       unless it is warmed by the vital heat of the spring time. Again, the
       heat of the element of fire and, by day, the heat of the sun, have
       power to draw forth the moisture of the low parts of the mountains
       and to draw them up, in the same way as it draws the clouds and
       collects their moisture from the bed of the sea.
       969.
       That many springs of salt water are found at great distances from
       the sea; this might happen because such springs pass through some
       mine of salt, like that in Hungary where salt is hewn out of vast
       caverns, just as stone is hewn.
       [Footnote: The great mine of Wieliczka in Galicia, out of which a
       million cwt. of rock-salt are annually dug out, extends for 3000
       metres from West to East, and 1150 metres from North to South.]
       IV. OF RIVERS.
       On the way in which the sources of rivers are fed (970)
       970.
       OF THE ORIGIN OF RIVERS.
       The body of the earth, like the bodies of animals, is intersected
       with ramifications of waters which are all in connection and are
       constituted to give nutriment and life to the earth and to its
       creatures. These come from the depth of the sea and, after many
       revolutions, have to return to it by the rivers created by the
       bursting of these springs; and if you chose to say that the rains of
       the winter or the melting of the snows in summer were the cause of
       the birth of rivers, I could mention the rivers which originate in
       the torrid countries of Africa, where it never rains--and still less
       snows--because the intense heat always melts into air all the clouds
       which are borne thither by the winds. And if you chose to say that
       such rivers, as increase in July and August, come from the snows
       which melt in May and June from the sun's approach to the snows on
       the mountains of Scythia [Footnote 9: Scythia means here, as in
       Ancient Geography, the whole of the Northern part of Asia as far as
       India.], and that such meltings come down into certain valleys and
       form lakes, into which they enter by springs and subterranean caves
       to issue forth again at the sources of the Nile, this is false;
       because Scythia is lower than the sources of the Nile, and, besides,
       Scythia is only 400 miles from the Black sea and the sources of the
       Nile are 3000 miles distant from the sea of Egypt into which its
       waters flow.
       The tide in estuaries (971)
       971.
       Book 9, of the meeting of rivers and of their ebb and flow. The
       cause is the same in the sea, where it is caused by the straits of
       Gibraltar; and again it is caused by whirlpools.
       [3] If two rivers meet together to form a straight line, and then
       below two right angles take their course together, the flow and ebb
       will happen now in one river and now in the other above their
       confluence, and principally if the outlet for their united volume is
       no swifter than when they were separate. Here occur 4 instances.
       [Footnote: The first two lines of this passage have already been
       given as No. 957. In the margin, near line 3 of this passage, the
       text given as No. 919 is written.]
       On the alterations, caused in the courses of rivers by their confluence (972-974)
       972.
       When a smaller river pours its waters into a larger one, and that
       larger one flows from the opposite direction, the course of the
       smaller river will bend up against the approach of the larger river;
       and this happens because, when the larger river fills up all its bed
       with water, it makes an eddy in front of the mouth of the other
       river, and so carries the water poured in by the smaller river with
       its own. When the smaller river pours its waters into the larger
       one, which runs across the current at the mouth of the smaller
       river, its waters will bend with the downward movement of the larger
       river. [Footnote: In the original sketches the word _Arno_ is
       written at the spot here marked _A_, at _R. Rifredi_, and at _M.
       Mugnone_.]
       973.
       When the fulness of rivers is diminished, then the acute angles
       formed at the junction of their branches become shorter at the sides
       and wider at the point; like the current _a n_ and the current _d
       n_, which unite in _n_ when the river is at its greatest fulness. I
       say, that when it is in this condition if, before the fullest time,
       _d n_ was lower than _a n_, at the time of fulness _d n_ will be
       full of sand and mud. When the water _d n_ falls, it will carry away
       the mud and remain with a lower bottom, and the channel _a n_
       finding itself the higher, will fling its waters into the lower, _d
       n_, and will wash away all the point of the sand-spit _b n c_, and
       thus the angle _a c d_ will remain larger than the angle _a n d_ and
       the sides shorter, as I said before.
       [Footnote: Above the first sketch we find, in the original, this
       note: "_Sopra il pote rubaconte alla torricella_"; and by the
       second, which represents a pier of a bridge, "_Sotto l'ospedal del
       ceppo._"]
       974.
       WATER.
       OF THE MOVEMENT OF A SUDDEN RUSH MADE BY A RIVER IN ITS BED
       PREVIOUSLY DRY.
       In proportion as the current of the water given forth by the
       draining of the lake is slow or rapid in the dry river bed, so will
       this river be wider or narrower, or shallower or deeper in one place
       than another, according to this proposition: the flow and ebb of the
       sea which enters the Mediterranean from the ocean, and of the rivers
       which meet and struggle with it, will raise their waters more or
       less in proportion as the sea is wider or narrower.
       [Footnote: In the margin is a sketch of a river which winds so as to
       form islands.]
       Whirlpools.
       975.
       Whirlpools, that is to say caverns; that is to say places left by
       precipitated waters.
       On the alterations in the channels of rivers.
       976.
       OF THE VIBRATION OF THE EARTH.
       The subterranean channels of waters, like those which exist between
       the air and the earth, are those which unceasingly wear away and
       deepen the beds of their currents.
       The origin of the sand in rivers (977-978)
       977.
       A river that flows from mountains deposits a great quantity of large
       stones in its bed, which still have some of their angles and sides,
       and in the course of its flow it carries down smaller stones with
       the angles more worn; that is to say the large stones become
       smaller. And farther on it deposits coarse gravel and then smaller,
       and as it proceeds this becomes coarse sand and then finer, and
       going on thus the water, turbid with sand and gravel, joins the sea;
       and the sand settles on the sea-shores, being cast up by the salt
       waves; and there results the sand of so fine a nature as to seem
       almost like water, and it will not stop on the shores of the sea but
       returns by reason of its lightness, because it was originally formed
       of rotten leaves and other very light things. Still, being
       almost--as was said--of the nature of water itself, it afterwards,
       when the weather is calm, settles and becomes solid at the bottom of
       the sea, where by its fineness it becomes compact and by its
       smoothness resists the waves which glide over it; and in this shells
       are found; and this is white earth, fit for pottery.
       978.
       All the torrents of water flowing from the mountains to the sea
       carry with them the stones from the hills to the sea, and by the
       influx of the sea-water towards the mountains; these stones were
       thrown back towards the mountains, and as the waters rose and
       retired, the stones were tossed about by it and in rolling, their
       angles hit together; then as the parts, which least resisted the
       blows, were worn off, the stones ceased to be angular and became
       round in form, as may be seen on the banks of the Elsa. And those
       remained larger which were less removed from their native spot; and
       they became smaller, the farther they were carried from that place,
       so that in the process they were converted into small pebbles and
       then into sand and at last into mud. After the sea had receded from
       the mountains the brine left by the sea with other humours of the
       earth made a concretion of these pebbles and this sand, so that the
       pebbles were converted into rock and the sand into tufa. And of this
       we see an example in the Adda where it issues from the mountains of
       Como and in the Ticino, the Adige and the Oglio coming from the
       German Alps, and in the Arno at Monte Albano [Footnote 13: At the
       foot of _Monte Albano_ lies Vinci, the birth place of Leonardo.
       Opposite, on the other bank of the Arno, is _Monte Lupo_.], near
       Monte Lupo and Capraia where the rocks, which are very large, are
       all of conglomerated pebbles of various kinds and colours.
       V. ON MOUNTAINS.
       The formation of mountains (979-983)
       979.
       Mountains are made by the currents of rivers.
       Mountains are destroyed by the currents of rivers.
       [Footnote: Compare 789.]
       980.
       That the Northern bases of some Alps are not yet petrified. And this
       is plainly to be seen where the rivers, which cut through them, flow
       towards the North; where they cut through the strata in the living
       stone in the higher parts of the mountains; and, where they join the
       plains, these strata are all of potter's clay; as is to be seen in
       the valley of Lamona where the river Lamona, as it issues from the
       Appenines, does these things on its banks.
       That the rivers have all cut and divided the mountains of the great
       Alps one from the other. This is visible in the order of the
       stratified rocks, because from the summits of the banks, down to the
       river the correspondence of the strata in the rocks is visible on
       either side of the river. That the stratified stones of the
       mountains are all layers of clay, deposited one above the other by
       the various floods of the rivers. That the different size of the
       strata is caused by the difference in the floods--that is to say
       greater or lesser floods.
       981.
       The summits of mountains for a long time rise constantly.
       The opposite sides of the mountains always approach each other
       below; the depths of the valleys which are above the sphere of the
       waters are in the course of time constantly getting nearer to the
       centre of the world.
       In an equal period, the valleys sink much more than the mountains
       rise.
       The bases of the mountains always come closer together.
       In proportion as the valleys become deeper, the more quickly are
       their sides worn away.
       982.
       In every concavity at the summit of the mountains we shall always
       find the divisions of the strata in the rocks.
       983.
       OF THE SEA WHICH ENCIRCLES THE EARTH.
       I find that of old, the state of the earth was that its plains were
       all covered up and hidden by salt water. [Footnote: This passage has
       already been published by Dr. M. JORDAN: _Das Malerbuch des L. da
       Vinci, Leipzig_ 1873, p. 86. However, his reading of the text
       differs from mine.]
       The authorities for the study of the structure of the earth (984)
       984.
       Since things are much more ancient than letters, it is no marvel if,
       in our day, no records exist of these seas having covered so many
       countries; and if, moreover, some records had existed, war and
       conflagrations, the deluge of waters, the changes of languages and
       of laws have consumed every thing ancient. But sufficient for us is
       the testimony of things created in the salt waters, and found again
       in high mountains far from the seas.
       VI. GEOLOGICAL PROBLEMS.
       985.
       In this work you have first to prove that the shells at a thousand
       braccia of elevation were not carried there by the deluge, because
       they are seen to be all at one level, and many mountains are seen to
       be above that level; and to inquire whether the deluge was caused by
       rain or by the swelling of the sea; and then you must show how,
       neither by rain nor by swelling of the rivers, nor by the overflow
       of this sea, could the shells--being heavy objects--be floated up
       the mountains by the sea, nor have carried there by the rivers
       against the course of their waters.
       Doubts about the deluge (986)
       986.
       A DOUBTFUL POINT.
       Here a doubt arises, and that is: whether the deluge, which happened
       at the time of Noah, was universal or not. And it would seem not,
       for the reasons now to be given: We have it in the Bible that this
       deluge lasted 40 days and 40 nights of incessant and universal rain,
       and that this rain rose to ten cubits above the highest mountains in
       the world. And if it had been that the rain was universal, it would
       have covered our globe which is spherical in form. And this
       spherical surface is equally distant in every part, from the centre
       of its sphere; hence the sphere of the waters being under the same
       conditions, it is impossible that the water upon it should move,
       because water, in itself, does not move unless it falls; therefore
       how could the waters of such a deluge depart, if it is proved that
       it has no motion? and if it departed how could it move unless it
       went upwards? Here, then, natural reasons are wanting; hence to
       remove this doubt it is necessary to call in a miracle to aid us, or
       else to say that all this water was evaporated by the heat of the
       sun.
       [Footnote: The passages, here given from the MS. Leic., have
       hitherto remained unknown. Some preliminary notes on the subject are
       to be found in MS. F 8oa and 8ob; but as compared with the fuller
       treatment here given, they are, it seems to me, of secondary
       interest. They contain nothing that is not repeated here more
       clearly and fully. LIBRI, _Histoire des Sciences mathematiques III_,
       pages 218--221, has printed the text of F 80a and 80b, therefore it
       seemed desirable to give my reasons for not inserting it in this
       work.]
       That marine shells could not go up the mountains (987)
       987.
       OF THE DELUGE AND OF MARINE SHELLS.
       If you were to say that the shells which are to be seen within the
       confines of Italy now, in our days, far from the sea and at such
       heights, had been brought there by the deluge which left them there,
       I should answer that if you believe that this deluge rose 7 cubits
       above the highest mountains-- as he who measured it has
       written--these shells, which always live near the sea-shore, should
       have been left on the mountains; and not such a little way from the
       foot of the mountains; nor all at one level, nor in layers upon
       layers. And if you were to say that these shells are desirous of
       remaining near to the margin of the sea, and that, as it rose in
       height, the shells quitted their first home, and followed the
       increase of the waters up to their highest level; to this I answer,
       that the cockle is an animal of not more rapid movement than the
       snail is out of water, or even somewhat slower; because it does not
       swim, on the contrary it makes a furrow in the sand by means of its
       sides, and in this furrow it will travel each day from 3 to 4
       braccia; therefore this creature, with so slow a motion, could not
       have travelled from the Adriatic sea as far as Monferrato in
       Lombardy [Footnote: _Monferrato di Lombardia_. The range of hills of
       Monferrato is in Piedmont, and Casale di Monferrato belonged, in
       Leonardo's time, to the Marchese di Mantova.], which is 250 miles
       distance, in 40 days; which he has said who took account of the
       time. And if you say that the waves carried them there, by their
       gravity they could not move, excepting at the bottom. And if you
       will not grant me this, confess at least that they would have to
       stay at the summits of the highest mountains, in the lakes which are
       enclosed among the mountains, like the lakes of Lario, or of Como
       and il Maggiore [Footnote: _Lago di Lario._ Lacus Larius was the
       name given by the Romans to the lake of Como. It is evident that it
       is here a slip of the pen since the the words in the MS. are: _"Come
       Lago di Lario o'l Magare e di Como,"_ In the MS. after line 16 we
       come upon a digression treating of the weight of water; this has
       here been omitted. It is 11 lines long.] and of Fiesole, and of
       Perugia, and others.
       And if you should say that the shells were carried by the waves,
       being empty and dead, I say that where the dead went they were not
       far removed from the living; for in these mountains living ones are
       found, which are recognisable by the shells being in pairs; and they
       are in a layer where there are no dead ones; and a little higher up
       they are found, where they were thrown by the waves, all the dead
       ones with their shells separated, near to where the rivers fell into
       the sea, to a great depth; like the Arno which fell from the
       Gonfolina near to Monte Lupo [Footnote: _Monte Lupo_, compare 970,
       13; it is between Empoli and Florence.], where it left a deposit of
       gravel which may still be seen, and which has agglomerated; and of
       stones of various districts, natures, and colours and hardness,
       making one single conglomerate. And a little beyond the sandstone
       conglomerate a tufa has been formed, where it turned towards Castel
       Florentino; farther on, the mud was deposited in which the shells
       lived, and which rose in layers according to the levels at which the
       turbid Arno flowed into that sea. And from time to time the bottom
       of the sea was raised, depositing these shells in layers, as may be
       seen in the cutting at Colle Gonzoli, laid open by the Arno which is
       wearing away the base of it; in which cutting the said layers of
       shells are very plainly to be seen in clay of a bluish colour, and
       various marine objects are found there. And if the earth of our
       hemisphere is indeed raised by so much higher than it used to be, it
       must have become by so much lighter by the waters which it lost
       through the rift between Gibraltar and Ceuta; and all the more the
       higher it rose, because the weight of the waters which were thus
       lost would be added to the earth in the other hemisphere. And if the
       shells had been carried by the muddy deluge they would have been
       mixed up, and separated from each other amidst the mud, and not in
       regular steps and layers-- as we see them now in our time.
       The marine shells were not produced away from the sea (988)
       988.
       As to those who say that shells existed for a long time and were
       born at a distance from the sea, from the nature of the place and of
       the cycles, which can influence a place to produce such
       creatures--to them it may be answered: such an influence could not
       place the animals all on one line, except those of the same sort and
       age; and not the old with the young, nor some with an operculum and
       others without their operculum, nor some broken and others whole,
       nor some filled with sea-sand and large and small fragments of other
       shells inside the whole shells which remained open; nor the claws of
       crabs without the rest of their bodies; nor the shells of other
       species stuck on to them like animals which have moved about on
       them; since the traces of their track still remain, on the outside,
       after the manner of worms in the wood which they ate into. Nor would
       there be found among them the bones and teeth of fish which some
       call arrows and others serpents' tongues, nor would so many
       [Footnote: I. Scilla argued against this hypothesis, which was still
       accepted in his days; see: _La vana Speculazione, Napoli_ 1670.]
       portions of various animals be found all together if they had not
       been thrown on the sea shore. And the deluge cannot have carried
       them there, because things that are heavier than water do not float
       on the water. But these things could not be at so great a height if
       they had not been carried there by the water, such a thing being
       impossible from their weight. In places where the valleys have not
       been filled with salt sea water shells are never to be seen; as is
       plainly visible in the great valley of the Arno above Gonfolina; a
       rock formerly united to Monte Albano, in the form of a very high
       bank which kept the river pent up, in such a way that before it
       could flow into the sea, which was afterwards at its foot, it formed
       two great lakes; of which the first was where we now see the city of
       Florence together with Prato and Pistoia, and Monte Albano. It
       followed the rest of its bank as far as where Serravalle now stands.
       >From the Val d'Arno upwards, as far as Arezzo, another lake was
       formed, which discharged its waters into the former lake. It was
       closed at about the spot where now we see Girone, and occupied the
       whole of that valley above for a distance of 40 miles in length.
       This valley received on its bottom all the soil brought down by the
       turbid waters. And this is still to be seen at the foot of Prato
       Magno; it there lies very high where the rivers have not worn it
       away. Across this land are to be seen the deep cuts of the rivers
       that have passed there, falling from the great mountain of Prato
       Magno; in these cuts there are no vestiges of any shells or of
       marine soil. This lake was joined with that of Perugia [Footnote:
       See PI. CXIII.]
       A great quantity of shells are to be seen where the rivers flow into
       the sea, because on such shores the waters are not so salt owing to
       the admixture of the fresh water, which is poured into it. Evidence
       of this is to be seen where, of old, the Appenines poured their
       rivers into the Adriatic sea; for there in most places great
       quantities of shells are to be found, among the mountains, together
       with bluish marine clay; and all the rocks which are torn off in
       such places are full of shells. The same may be observed to have
       been done by the Arno when it fell from the rock of Gonfolina into
       the sea, which was not so very far below; for at that time it was
       higher than the top of San Miniato al Tedesco, since at the highest
       summit of this the shores may be seen full of shells and oysters
       within its flanks. The shells did not extend towards Val di Nievole,
       because the fresh waters of the Arno did not extend so far.
       That the shells were not carried away from the sea by the deluge,
       because the waters which came from the earth although they drew the
       sea towards the earth, were those which struck its depths; because
       the water which goes down from the earth, has a stronger current
       than that of the sea, and in consequence is more powerful, and it
       enters beneath the sea water and stirs the depths and carries with
       it all sorts of movable objects which are to be found in the earth,
       such as the above-mentioned shells and other similar things. And in
       proportion as the water which comes from the land is muddier than
       sea water it is stronger and heavier than this; therefore I see no
       way of getting the said shells so far in land, unless they had been
       born there. If you were to tell me that the river Loire [Footnote:
       Leonardo has written Era instead of Loera or Loira--perhaps under
       the mistaken idea that _Lo_ was an article.],which traverses France
       covers when the sea rises more than eighty miles of country, because
       it is a district of vast plains, and the sea rises about 20 braccia,
       and shells are found in this plain at the distance of 80 miles from
       the sea; here I answer that the flow and ebb in our Mediterranean
       Sea does not vary so much; for at Genoa it does not rise at all, and
       at Venice but little, and very little in Africa; and where it varies
       little it covers but little of the country.
       The course of the water of a river always rises higher in a place
       where the current is impeded; it behaves as it does where it is
       reduced in width to pass under the arches of a bridge.
       Further researches (989-991)
       989.
       A CONFUTATION OF THOSE WHO SAY THAT SHELLS MAY HAVE BEEN CARRIED TO
       A DISTANCE OF MANY DAYS' JOURNEY FROM THE SEA BY THE DELUGE, WHICH
       WAS SO HIGH AS TO BE ABOVE THOSE HEIGHTS.
       I say that the deluge could not carry objects, native to the sea, up
       to the mountains, unless the sea had already increased so as to
       create inundations as high up as those places; and this increase
       could not have occurred because it would cause a vacuum; and if you
       were to say that the air would rush in there, we have already
       concluded that what is heavy cannot remain above what is light,
       whence of necessity we must conclude that this deluge was caused by
       rain water, so that all these waters ran to the sea, and the sea did
       not run up the mountains; and as they ran to the sea, they thrust
       the shells from the shore of the sea and did not draw them to wards
       themselves. And if you were then to say that the sea, raised by the
       rain water, had carried these shells to such a height, we have
       already said that things heavier than water cannot rise upon it, but
       remain at the bottom of it, and do not move unless by the impact of
       the waves. And if you were to say that the waves had carried them to
       such high spots, we have proved that the waves in a great depth move
       in a contrary direction at the bottom to the motion at the top, and
       this is shown by the turbidity of the sea from the earth washed down
       near its shores. Anything which is lighter than the water moves with
       the waves, and is left on the highest level of the highest margin of
       the waves. Anything which is heavier than the water moves, suspended
       in it, between the surface and the bottom; and from these two
       conclusions, which will be amply proved in their place, we infer
       that the waves of the surface cannot convey shells, since they are
       heavier than water.
       If the deluge had to carry shells three hundred and four hundred
       miles from the sea, it would have carried them mixed with various
       other natural objects heaped together; and we see at such distances
       oysters all together, and sea-snails, and cuttlefish, and all the
       other shells which congregate together, all to be found together and
       dead; and the solitary shells are found wide apart from each other,
       as we may see them on sea-shores every day. And if we find oysters
       of very large shells joined together and among them very many which
       still have the covering attached, indicating that they were left
       here by the sea, and still living when the strait of Gibraltar was
       cut through; there are to be seen, in the mountains of Parma and
       Piacenza, a multitude of shells and corals, full of holes, and still
       sticking to the rocks there. When I was making the great horse for
       Milan, a large sack full was brought to me in my workshop by certain
       peasants; these were found in that place and among them were many
       preserved in their first freshness.
       Under ground, and under the foundations of buildings, timbers are
       found of wrought beams and already black. Such were found in my time
       in those diggings at Castel Fiorentino. And these had been in that
       deep place before the sand carried by the Arno into the sea, then
       covering the plain, had heen raised to such a height; and before the
       plains of Casentino had been so much lowered, by the earth being
       constantly carried down from them.
       [Footnote: These lines are written in the margin.]
       And if you were to say that these shells were created, and were
       continually being created in such places by the nature of the spot,
       and of the heavens which might have some influence there, such an
       opinion cannot exist in a brain of much reason; because here are the
       years of their growth, numbered on their shells, and there are large
       and small ones to be seen which could not have grown without food,
       and could not have fed without motion--and here they could not move
       [Footnote: These lines are written in the margin.]
       990.
       That in the drifts, among one and another, there are still to be
       found the traces of the worms which crawled upon them when they were
       not yet dry. And all marine clays still contain shells, and the
       shells are petrified together with the clay. From their firmness and
       unity some persons will have it that these animals were carried up
       to places remote from the sea by the deluge. Another sect of
       ignorant persons declare that Nature or Heaven created them in these
       places by celestial influences, as if in these places we did not
       also find the bones of fishes which have taken a long time to grow;
       and as if, we could not count, in the shells of cockles and snails,
       the years and months of their life, as we do in the horns of bulls
       and oxen, and in the branches of plants that have never been cut in
       any part. Besides, having proved by these signs the length of their
       lives, it is evident, and it must be admitted, that these animals
       could not live without moving to fetch their food; and we find in
       them no instrument for penetrating the earth or the rock where we
       find them enclosed. But how could we find in a large snail shell the
       fragments and portions of many other sorts of shells, of various
       sorts, if they had not been thrown there, when dead, by the waves of
       the sea like the other light objects which it throws on the earth?
       Why do we find so many fragments and whole shells between layer and
       layer of stone, if this had not formerly been covered on the shore
       by a layer of earth thrown up by the sea, and which was afterwards
       petrified? And if the deluge before mentioned had carried them to
       these parts of the sea, you might find these shells at the boundary
       of one drift but not at the boundary between many drifts. We must
       also account for the winters of the years during which the sea
       multiplied the drifts of sand and mud brought down by the
       neighbouring rivers, by washing down the shores; and if you chose to
       say that there were several deluges to produce these rifts and the
       shells among them, you would also have to affirm that such a deluge
       took place every year. Again, among the fragments of these shells,
       it must be presumed that in those places there were sea coasts,
       where all the shells were thrown up, broken, and divided, and never
       in pairs, since they are found alive in the sea, with two valves,
       each serving as a lid to the other; and in the drifts of rivers and
       on the shores of the sea they are found in fragments. And within the
       limits of the separate strata of rocks they are found, few in number
       and in pairs like those which were left by the sea, buried alive in
       the mud, which subsequently dried up and, in time, was petrified.
       991.
       And if you choose to say that it was the deluge which carried these
       shells away from the sea for hundreds of miles, this cannot have
       happened, since that deluge was caused by rain; because rain
       naturally forces the rivers to rush towards the sea with all the
       things they carry with them, and not to bear the dead things of the
       sea shores to the mountains. And if you choose to say that the
       deluge afterwards rose with its waters above the mountains, the
       movement of the sea must have been so sluggish in its rise against
       the currents of the rivers, that it could not have carried, floating
       upon it, things heavier than itself; and even if it had supported
       them, in its receding it would have left them strewn about, in
       various spots. But how are we to account for the corals which are
       found every day towards Monte Ferrato in Lombardy, with the holes of
       the worms in them, sticking to rocks left uncovered by the currents
       of rivers? These rocks are all covered with stocks and families of
       oysters, which as we know, never move, but always remain with one of
       their halves stuck to a rock, and the other they open to feed
       themselves on the animalcules that swim in the water, which, hoping
       to find good feeding ground, become the food of these shells. We do
       not find that the sand mixed with seaweed has been petrified,
       because the weed which was mingled with it has shrunk away, and this
       the Po shows us every day in the debris of its banks.
       Other problems (992-994)
       992.
       Why do we find the bones of great fishes and oysters and corals and
       various other shells and sea-snails on the high summits of mountains
       by the sea, just as we find them in low seas?
       993.
       You now have to prove that the shells cannot have originated if not
       in salt water, almost all being of that sort; and that the shells in
       Lombardy are at four levels, and thus it is everywhere, having been
       made at various times. And they all occur in valleys that open
       towards the seas.
       994.
       From the two lines of shells we are forced to say that the earth
       indignantly submerged under the sea and so the first layer was made;
       and then the deluge made the second.
       [Footnote: This note is in the early writing of about 1470--1480. On
       the same sheet are the passages No. 1217 and 1219. Compare also No.
       1339. All the foregoing chapters are from Manuscripts of about 1510.
       This explains the want of connection and the contradiction between
       this and the foregoing texts.]
       VII. ON THE ATMOSPHERE.
       Constituents of the atmosphere (995)
       995.
       That the brightness of the air is occasioned by the water which has
       dissolved itself in it into imperceptible molecules. These, being
       lighted by the sun from the opposite side, reflect the brightness
       which is visible in the air; and the azure which is seen in it is
       caused by the darkness that is hidden beyond the air. [Footnote:
       Compare Vol. I, No. 300.]
       On the motion of air (996-999)
       996.
       That the return eddies of wind at the mouth of certain valleys
       strike upon the waters and scoop them out in a great hollow, whirl
       the water into the air in the form of a column, and of the colour of
       a cloud. And I saw this thing happen on a sand bank in the Arno,
       where the sand was hollowed out to a greater depth than the stature
       of a man; and with it the gravel was whirled round and flung about
       for a great space; it appeared in the air in the form of a great
       bell-tower; and the top spread like the branches of a pine tree, and
       then it bent at the contact of the direct wind, which passed over
       from the mountains.
       997.
       The element of fire acts upon a wave of air in the same way as the
       air does on water, or as water does on a mass of sand --that is
       earth; and their motions are in the same proportions as those of the
       motors acting upon them.
       998.
       OF MOTION.
       I ask whether the true motion of the clouds can be known by the
       motion of their shadows; and in like manner of the motion of the
       sun.
       999.
       To know better the direction of the winds. [Footnote: In connection
       with this text I may here mention a hygrometer, drawn and probably
       invented by Leonardo. A facsimile of this is given in Vol. I, p. 297
       with the note: _'Modi di pesare l'arie eddi sapere quando s'a
       arrompere il tepo'_ (Mode of weighing the air and of knowing when
       the weather will change); by the sponge _"Spugnea"_ is written.]
       The globe an organism (1000)
       1000.
       Nothing originates in a spot where there is no sentient, vegetable
       and rational life; feathers grow upon birds and are changed every
       year; hairs grow upon animals and are changed every year, excepting
       some parts, like the hairs of the beard in lions, cats and their
       like. The grass grows in the fields, and the leaves on the trees,
       and every year they are, in great part, renewed. So that we might
       say that the earth has a spirit of growth; that its flesh is the
       soil, its bones the arrangement and connection of the rocks of which
       the mountains are composed, its cartilage the tufa, and its blood
       the springs of water. The pool of blood which lies round the heart
       is the ocean, and its breathing, and the increase and decrease of
       the blood in the pulses, is represented in the earth by the flow and
       ebb of the sea; and the heat of the spirit of the world is the fire
       which pervades the earth, and the seat of the vegetative soul is in
       the fires, which in many parts of the earth find vent in baths and
       mines of sulphur, and in volcanoes, as at Mount Aetna in Sicily, and
       in many other places.
       [Footnote: Compare No. 929.] _