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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 101

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 101
ches; there-fore the six arches AB, BC, CD, DE, EP, FA are equal to one another: and equal arches are subte.nded bjequal (29. 3.) straight lines; therefore the six straight lines areequal to one another, and the hexagon ABCDEF is equilateral. Itis also equiangular; for, since the arch AF is equal… … OF GEOMETRY. BOOK IV. 101 AFE la equal to FED: in the same manner it maybe demonstrated,that the other angles of the hexagon ABCDEF are each of themequal to the angle AFE or FED; therefore the hexagon is equiangu-lar; it is also equilateral, as was shown; and it is inscribed in thegiven circle…

Euclid's Elements · Geometry · Trigonometry

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