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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)

Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 197

An illustration from Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry, 1826, leaf 197
paralle-logram AB is equal (35. 1.) to SB, for they are upon the same baseLB, and between the same parallels LB, AT; and because the baseSB is equal to the base CD; therefore the base AB is equal to thebase CD; but the angle ALB is equal to the angle CLD : therefore,by the first case, the solid AE… … DF, OP, be not at right angles to the bases AB, CD; in this caselikewise the solid AE is equal to the solid CF. Because solid paral-lelopipeds on the same brise, and of the same altitude, are equal(6. 3. Sup.), if two solid parallelopipeds be constituted on the basesAB and CD of the same altitude…

Euclid's Elements · Geometry · Trigonometry

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