Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 154
a cylinder having thesame base and the same altitude ; whence it follows : 1st, That cones of equal altitudes are to each other as thetibases. 2nd, That cones of equal bases are to each other a«? theiraltitudes. BOOK VI 153 Of PrisniP. Cor. 2. The solidity of a cone is equivalent to the solidityof… … B_Csolid AD : solid EH : : AB3 or solid AD : solid EH : : CD or, the solids will be to each other as the cubes of any otheiof their homologous edges. For, the solids are to each other as the products of theiibases and altitudes (Th. xiv. Cor.), that is, sdid ABC-D : solid EFG-H : : ABCx CD :…
Geometry · Plane trigonometry
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