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.
Let _a b_ be the width of the light from a window, which falls on a
stick set up at one foot from _a c_ [Footnote 6: _bastone_ (stick).
The diagram has a sphere in place of a stick.]. And let _a d_ be the
space where all the light from the window is visible. At _c e_ that
part of the window which is between _l b_ cannot be seen. In the
same way _a m_ cannot be seen from _d f_ and therefore in these two
portions the light begins to fail.
Shadow as produced by two lights of different size (180. 181).
180.
A body in light and shade placed between two equal lights side by
side will cast shadows in proportion to the [amount of] light. And
the shadows will be one darker than the other in proportion as one
light is nearer to the said body than the other on the opposite
side.
A body placed at an equal distance between two lights will cast two
shadows, one deeper than the other in proportion, as the light which
causes it is brighter than the other.
[Footnote: In the MS. the larger diagram is placed above the first
line; the smaller one between l. 4 & 5.]
181.
A light which is smaller than the body it illuminates produces
shadows of which the outlines end within [the surface of] the body,
and not much compound shadow; and falls on less than half of it. A
light which is larger than the body it illuminates, falls on more
than half of it, and produces much compound shadow.
The effect of light at different distances.
182.
OF THE SHADOW CAST BY A BODY PLACED BETWEEN 2 EQUAL LIGHTS.
A body placed between 2 equal lights will cast 2 shadows of itself
in the direction of the lines of the 2 lights; and if you move this
body placing it nearer to one of the lights the shadow cast towards
the nearer light will be less deep than that which falls towards the
more distant one.
Further complications in the derived shadows (183-187).
183.
The greatest depth of shadow is in the simple derived shadow because
it is not lighted by either of the two lights _a b, c d_.
The next less deep shadow is the derived shadow _e f n_; and in this
the shadow is less by half, because it is illuminated by a single
light, that is _c d_.
This is uniform in natural tone because it is lighted throughout by
one only of the two luminous bodies [10]. But it varies with the
conditions of shadow, inasmuch as the farther it is away from the
light the less it is illuminated by it [13].
The third degree of depth is the middle shadow [Footnote 15: We
gather from what follows that _q g r_ here means _ombra media_ (the
middle shadow).]. But this is not uniform in natural tone; because
the nearer it gets to the simple derived shadow the deeper it is
[Footnote 18: Compare lines 10-13], and it is the uniformly gradual
diminution by increase of distance which is what modifies it
[Footnote 20: See Footnote 18]: that is to say the depth of a shadow
increases in proportion to the distance from the two lights.
Public-domain text, read in full here on John Shaqi.
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