Robbinss New Solid Geometry

Cover Robbinss New Solid Geometry
Robbinss New Solid Geometry
Edward Rutledge Robbins
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Z A is measured by arc BC. (711).
Q. E. D.
738. COROLLARY. The three sides of a trirectangular spher- ical triangle are quadrants.
Ex. 1. If two sides of a spherical triangle are quadrants, the triangle is birectangular. (710, 712. ) Ex. 2. If all sides of a spherical triangle are quadrants, the triangle is trirectangular.
PROPOSITION XVI. THEOREM 739. The sum of the sides of any spherical polygon is less than 330.
Given: (?). To Prove : (?).
Proof : Draw radii to the several vertices of the po
...lygon, forming the polyhedral Z O.
Then Z AOB + Z BOG + Z COD + Z AOD

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