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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 294

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r angle over, as has been done in the figureto the right. Exercises. 591. If the edges of one polyhedral angle are respectivelyperpendicular to the faces of a second polyhedral angle, then the edges ofthe latter are respectively perpendicular to the faces of the former. 592. Two parallel planes… … Given the trihedral angle V-XYZ. To prove that ZLYVZ + ZZ VX > Z XVY. Proof. 1. If Z XVY> either Z YVZ or Z ZVX, no proof isnecessary. Why not ? 2. If ZA7T > either Z FFZ or Z ZVX, suppose it> A ZVX. 3. Then in plane VXY suppose VW drawn, makingZ XVW = Z ZVX. Suppose VC taken on VZ,…

Geometry

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