RESPONSIO AD QUAESTIONEM MATHEMATIC AM. i3 



Axis cubi vel sphaerae = Kr= -f- Diag.'' 



= yR- + zK- 



Hinc R = A 



V3 



Et basis pyramidis = R- = — 



Pyramidis altitiido = f/^ (— ) — (—7^) 



= l/^i - ^IS 



=^^- ' 



X2 



= A^^(T-i) 



^//^ 



3 — ^ 

 3 X 4 

 — A _ 



~ ^V3 



Pyramidis capacitas = -— X ^^ 



A3 



6X3V/3 

 6A3 

 Ergo cubi capacitas = 6'xT\73 



A^ 



•=z -^-T- = triplo tetraedro. 

 9V3 



Ergo Cubus = 3X0,5132003 



= i^JS^^Jooj. 



B 3 • 



DO- 



