The Notebooks of Leonardo Da Vinci Complete


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7
91.  
The window a is well placed under the window c, and the window  
b is badly placed under the pier d, because this latter is  
without support and foundation; mind therefore never to make a break  
under the piers between the windows.  
7
92.  
OF THE SUPPORTS.  
A pillar of which the thickness is increased will gain more than its  
due strength, in direct proportion to what its loses in relative  
height.  
EXAMPLE.  
If a pillar should be nine times as high as it is broad--that is to  
say, if it is one braccio thick, according to rule it should be nine  
braccia high--then, if you place 100 such pillars together in a mass  
this will be ten braccia broad and 9 high; and if the first pillar  
could carry 10000 pounds the second being only about as high as it  
is wide, and thus lacking 8 parts of its proper length, it, that is  
to say, each pillar thus united, will bear eight times more than  
when disconnected; that is to say, that if at first it would carry  
ten thousand pounds, it would now carry 90 thousand.  
643  


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