The Notebooks of Leonardo Da Vinci Complete


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OF COMPOUND DERIVED SHADOWS.  
Compound derived shadows are of two kinds; that is columnar and  
spreading.  
1
62.  
OF SHADOW.  
Derived shadows are of three kinds of which one is spreading, the  
second columnar, the third converging to the point where the two  
sides meet and intersect, and beyond this intersection the sides are  
infinitely prolonged or straight lines. And if you say, this shadow  
must terminate at the angle where the sides meet and extend no  
farther, I deny this, because above in the first on shadow I have  
proved: that a thing is completely terminated when no portion of it  
goes beyond its terminating lines. Now here, in this shadow, we see  
the converse of this, in as much as where this derived shadow  
originates we obviously have the figures of two pyramids of shadow  
which meet at their angles. Hence, if, as [my] opponent says, the  
first pyramid of shadow terminates the derivative shadow at the  
angle whence it starts, then the second pyramid of shadow--so says  
the adversary--must be caused by the angle and not from the body in  
shadow; and this is disproved with the help of the 2nd of this which  
says: Shadow is a condition produced by a body casting a shadow, and  
interposed between this shadow and the luminous body. By this it is  
134  


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132 133 134 135 136

Quick Jump
1 306 613 919 1225