The Notebooks of Leonardo Da Vinci Complete


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primary shadow, the second is derived shadow. The primary shadow is  
always the basis of the derived shadow.  
The edges of the derived shadow are straight lines.  
[Footnote: The theory of the ombra dirivativa--a technical  
expression for which there is no precise English equivalent is  
elaborately treated by Leonardo. But both text and diagrams (as Pl.  
IV, 1-3 and Pl. V) must at once convince the student that the  
distinction he makes between ombra primitiva and ombra  
dirivativa is not merely justifiable but scientific. Ombra  
dirivativa is by no means a mere abstract idea. This is easily  
proved by repeating the experiment made by Leonardo, and by filling  
with smoke the room in which the existence of the ombra dirivativa  
is investigated, when the shadow becomes visible. Nor is it  
difficult to perceive how much of Leonardo's teaching depended on  
this theory. The recognised, but extremely complicated science of  
cast shadows--percussione dell' ombre dirivative as Leonardo  
calls them--is thus rendered more intelligible if not actually  
simpler, and we must assume this theory as our chief guide through  
the investigations which follow.]  
The darkness of the derived shadow diminishes in proportion as it is  
remote from the primary shadow.  
Different sorts of derived shadows (160-162).  
132  


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