PROOF.

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.

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