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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 285

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 285
e DF is equal to AB, DE to AC, and the angle FDE to the angleiBAC, the angle ABC is equal to the angle DFE, (4.1.). But the an-gle ACB is also, by hypothesis, equal to the angle DFE; thereforethe angles ABC, ACB are equal to one another. Q. E. D. Thus also, the 8th proposition may be demonstrated… … NOTES. 285 On BC, which is equal to EF, and oa the side of it opposite to thetrian.^le AliC, let a triangle BUG lie coistituted every way equal tothe tria!i2,*le DfiP, that is, liavin;? GB e:i:ial to Dj^, dC to DF, theallele S5CJC to the an^le EDF, &c.: join AG. Because GB aud A B are each…

Euclid's Elements · Geometry · Trigonometry

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