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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 490

An illustration from Plane and solid geometry, 1912, leaf 490
faces of polyhedron EC are equal, respec-tively, to the faces of polyhedron XM. 6. Prove, by superposition, that polyhedron EC = XM. 6. .-. polyhedron JTJ/may be placed in the position of EC. 7. But EC and Ec are radially placed. 8. .*. XM and Ec may be radially placed. q.e.d. Propositiox V.… … The proofs are left as exercises for the student. Hint. For tlie proof of II, pass planes through OB and diagonalsBD\ BE, etc., dividing each of the pyramids into triangidar ]\vran)ids.Then pyramid 0-^CZ> - pyramid 0-BCD \ pyramid 0-EBD - pyra-mid 0-EBD\ etc. Use § 812 and a method similar to…

Geometry, Plane · Geometry, Solid

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