The Notebooks of Leonardo Da Vinci — CompleteLeonardo, da Vinci
Science
The Notebooks of Leonardo Da Vinci — Complete
Leonardo, da Vinci
Leonardo, da Vinci, 1452-1519 -- Notebooks, sketchbooks, etc.
SIXTH BOOK ON LIGHT AND SHADE.
The effect of rays passing through holes (213. 214).
213.
PERSPECTIVE.
If you transmit the rays of the sun through a hole in the shape of a
star you will see a beautiful effect of perspective in the spot
where the sun's rays fall.
[Footnote: In this and the following chapters of MS. C the order of
the original paging has been adhered to, and is shown in
parenthesis. Leonardo himself has but rarely worked out the subject
of these propositions. The space left for the purpose has
occasionally been made use of for quite different matter. Even the
numerous diagrams, most of them very delicately sketched, lettered
and numbered, which occur on these pages, are hardly ever explained,
with the exception of those few which are here given.]
214.
No small hole can so modify the convergence of rays of light as to
prevent, at a long distance, the transmission of the true form of
the luminous body causing them. It is impossible that rays of light
passing through a parallel [slit], should not display the form of
the body causing them, since all the effects produced by a luminous
body are [in fact] the reflection of that body: The moon, shaped
like a boat, if transmitted through a hole is figured in the surface
[it falls on] as a boatshaped object. [Footnote 8: In the MS. a
blank space is left after this question.] Why the eye sees bodies at
a distance, larger than they measure on the vertical plane?.
[Footnote: This chapter, taken from another MS. may, as an
exception, be placed here, as it refers to the same subject as the
preceding section.]
On gradation of shadows (215. 216).
215.
Although the breadth and length of lights and shadow will be
narrower and shorter in foreshortening, the quality and quantity of
the light and shade is not increased nor diminished.
[3]The function of shade and light when diminished by
foreshortening, will be to give shadow and to illuminate an object
opposite, according to the quality and quantity in which they fall
on the body.
[5]In proportion as a derived shadow is nearer to its penultimate
extremities the deeper it will appear, _g z_ beyond the intersection
faces only the part of the shadow [marked] _y z_; this by
intersection takes the shadow from _m n_ but by direct line it takes
the shadow _a m_ hence it is twice as deep as _g z_. _Y x_, by
intersection takes the shadow _n o_, but by direct line the shadow
_n m a_, therefore _x y_ is three times as dark as _z g_; _x f_, by
intersection faces _o b_ and by direct line _o n m a_, therefore we
must say that the shadow between _f x_ will be four times as dark as
the shadow _z g_, because it faces four times as much shadow.
Let _a b_ be the side where the primary shadow is, and _b c_ the
primary light, _d_ will be the spot where it is intercepted,_f g_
the derived shadow and _f e_ the derived light.
And this must be at the beginning of the explanation.
Public-domain text, read in full here on John Shaqi.
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