PERSPECTIVE.

The instant the atmosphere is illuminated it will be filled with an

infinite number of images which are produced by the various bodies

and colours assembled in it. And the eye is the target, a loadstone,

of these images.

59.

The whole surface of opaque bodies displays its whole image in all

the illuminated atmosphere which surrounds them on all sides.

60.

That the atmosphere attracts to itself, like a loadstone, all the

images of the objects that exist in it, and not their forms merely

but their nature may be clearly seen by the sun, which is a hot and

luminous body. All the atmosphere, which is the all-pervading

matter, absorbs light and heat, and reflects in itself the image of

the source of that heat and splendour and, in each minutest portion,

does the same. The Northpole does the same as the loadstone shows;

and the moon and the other planets, without suffering any

diminution, do the same. Among terrestrial things musk does the same

and other perfumes.

61.

All bodies together, and each by itself, give off to the surrounding

air an infinite number of images which are all-pervading and each

complete, each conveying the nature, colour and form of the body

which produces it.

It can clearly be shown that all bodies are, by their images,

all-pervading in the surrounding atmosphere, and each complete in

itself as to substance form and colour; this is seen by the images

of the various bodies which are reproduced in one single perforation

through which they transmit the objects by lines which intersect and

cause reversed pyramids, from the objects, so that they are upside

down on the dark plane where they are first reflected. The reason of

this is--

[Footnote: The diagram intended to illustrate the statement (Pl. II

No. i) occurs in the original between lines 3 and 4. The three

circles must be understood to represent three luminous bodies which

transmit their images through perforations in a wall into a dark

chamber, according to a law which is more fully explained in 75?81.

So far as concerns the present passage the diagram is only intended

to explain that the images of the three bodies may be made to

coalesce at any given spot. In the circles are written,

giallo--yellow, biàcho--white, rosso--red.

The text breaks off at line 8. The paragraph No.40 follows here in

the original MS.]

62.

Every point is the termination of an infinite number of lines, which

diverge to form a base, and immediately, from the base the same

lines converge to a pyramid [imaging] both the colour and form. No

sooner is a form created or compounded than suddenly infinite lines

and angles are produced from it; and these lines, distributing

themselves and intersecting each other in the air, give rise to an

infinite number of angles opposite to each other. Given a base, each

opposite angle, will form a triangle having a form and proportion

equal to the larger angle; and if the base goes twice into each of

the 2 lines of the pyramid the smaller triangle will do the same.

63.

Every body in light and shade fills the surrounding air with

infinite images of itself; and these, by infinite pyramids diffused

in the air, represent this body throughout space and on every side.

Each pyramid that is composed of a long assemblage of rays includes

within itself an infinite number of pyramids and each has the same

power as all, and all as each. A circle of equidistant pyramids of

vision will give to their object angles of equal size; and an eye at

each point will see the object of the same size. The body of the

atmosphere is full of infinite pyramids composed of radiating

straight lines, which are produced from the surface of the bodies in

light and shade, existing in the air; and the farther they are from

the object which produces them the more acute they become and

although in their distribution they intersect and cross they never

mingle together, but pass through all the surrounding air,

independently converging, spreading, and diffused. And they are all

of equal power [and value]; all equal to each, and each equal to

all. By these the images of objects are transmitted through all

space and in every direction, and each pyramid, in itself, includes,

in each minutest part, the whole form of the body causing it.

64.

The body of the atmosphere is full of infinite radiating pyramids

produced by the objects existing in it. These intersect and cross

each other with independent convergence without interfering with

each other and pass through all the surrounding atmosphere; and are

of equal force and value--all being equal to each, each to all. And

by means of these, images of the body are transmitted everywhere and

on all sides, and each receives in itself every minutest portion of

the object that produces it.

Proof by experiment (65-66).

65.

The Notebooks of Leonardo Da Vinci — Volume 1 · 第 52 / 366 题