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74.
THE FARTHER THE DERIVED SHADOW IS PROLONGED THE LIGHTER IT
BECOMES.
You will find that the proportion of the diameter of the derived
shadow to that of the primary shadow will be the same as that
between the darkness of the primary shadow and that of the derived
shadow.
[Footnote 6: Compare No. 177.] Let a b be the diameter of the
primary shadow and c d that of the derived shadow, I say that a
b going, as you see, three times into d c, the shadow d c will
be three times as light as the shadow a b. [Footnote 8: Compare
No. 177.]
If the size of the illuminating body is larger than that of the
illuminated body an intersection of shadow will occur, beyond which
the shadows will run off in two opposite directions as if they were
caused by two separate lights.
On the relative intensity of derived shadows (175-179).
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75.
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