Saturday, February 19, 2011

Problem 581: Volume of two Triangular Pyramids, Equal Trihedral Angle, Product of three Edges

Geometry Problem
Click the figure below to see the complete problem 581.

Volume of two Triangular Pyramids, Equal Trihedral Angle, Product of three Edges.
Zoom at: Geometry Problem 581

Posted by Antonio Gutierrez at 3:58 PM
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1 comment:

  1. c .t . e. oFebruary 20, 2011 at 1:00 AM

    draw A'H', AH altitudes on OB'C', OBC
    from 580 about OB'C' and OBC =>
    S1/S =(OB'∙OC')/(OB∙OC) (1)
    from ▲A'H'O, ▲AHO A'H'/AH = A'O/AO (2)
    V' = OB'C'∙A'H' and V = OBC∙AH substitute (1) & (2)
    V'/V = (OB'∙OC'∙OA')/(OB∙OC∙OA)

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