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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 162

An illustration from Elements of geometry and trigonometry, 1835, leaf 162
ial pyramids as the polyedron has faces, minus those faceswhich form the solid angle whence the planes of divisionproceed. PROPOSITION XVIII. THEOREM. If a pyramid be cut hi/ a plane parallel to iV.v base^ the frustumthat remains u hm the small pyramid is taken away, is equi-valent to the sum of… … Let S-ABCDE be a pyra-mid cut by the plane ahcde,parallel to its base ; let T-FGHbe a triangular pyramid hav-ing the same altitude and anequivalent base with the pyra-mid S-ABCDE. The twobases may be regarded assituated in the same plane ; inwhich case, the plane ahcd, ifproduced, will form in the…

Trigonometry · Geometry

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