Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 184
ace two dimensions icommon are to each other as their third dimensions. PROPOSITION IV. THEOREM. 421. Tico rectangular parallelepipeds having equal altitudesare to each other as their bases. Let P and Q be two rectangular pparallelepipeds having the commonaltitude c and the rectangles ab andab for… … For the same reason Hence by multiplication R=aLQ a1 P ab Q.E.D. 422. SCHOLIUM. The theorem may also be expressed : Tico rectangular parallelepipeds having one dimension incommon are to each other as the products of their other twodimensions. 172 SOLID GEOMETRY. [BK. VII. PROPOSITION V. THEOREM.…
Geometry
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