Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 146
e to each other as their bases. 0 THEOREM XIII. Any two rectangular parallelopidedons are to each other as tluproducts of their three dimensions. For, having placed the two solids AG, AZ, (see next figure)so that their surfaces have the common angle BAE, producethe planes necessary for completing… … But the two paral-lelopipedons AK, AZ,having the same baseAMNO, are to eachother as their altitudesAE, AX; hence, wehave solid AK : solid AZ : : AE : AX Multiplying together the corresponding terms of these pro-portions, and omitting in the result the common mulliplieisolid AK, we shall have solid…
Geometry · Plane trigonometry
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