The Notebooks of Leonardo Da Vinci by Leonardo Da Vinci (moboreader txt) π
PROLEGOMENA AND GENERAL INTRODUCTION TO THE BOOK ON PAINTING
Clavis Sigillorum and Index of Manuscripts.--The author's intentionto publish his MSS. (1).--The preparation of the MSS. forpublication (2).--Admonition to readers (3).--The disorder in theMSS. (4).--Suggestions for the arrangement of MSS. treating ofparticular subjects (5--8).--General introductions to the book onpainting (9--13).--The plan of the book on painting (14--17).--Theuse of the book on painting (18).--Necessity of theoreticalknowledge (19, 20).--The function of the eye (21--23).--Variabilityof the eye (24).--Focus of sight (25).--Differences of perception byone eye and by both eyes (26--29).--The comparative size of theimage depends on the amount of light (30--39).
II.
LINEAR PERSPECTIVE
General remarks on perspective (40--41).--The elements ofperspective:--of the point (42--46).--Of the line (47--48).--Thenature of the outline (49).--Definition of perspective (50).--Theperception of t
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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.
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. βBut 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 βLago della Sibillaββa name not known elsewhere, so far as I can learnβLeonardo 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
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