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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 246

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 246
ar from H meetsAB), therefore AG, the part ofthe diameter in which the centre a*is, is the greatest, (7. 3.), and GBthe least of all the straight linesthat can be drawn from G to thecircumference; and GD which is nearer to AB, is greater than GE, which is mdre remote. But thetriangles CGA, CGD are… … 516 SPHP^RICAL TRIGONOMETRY. greater than the arch DC. In the same manner, since GD is greaterthan GE, and GE than GF, it is shown that CD is greater than CE,and CE than CF. Wherefore also the arcli CD is greater than thearch CE, and the arch CE greater than the arch CF, and CF than CB;that is, of…

Euclid's Elements · Geometry · Trigonometry

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