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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 86

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 86
^ toboth,AE.EC+EG^+GF^=AG3+GF^ Now EG^ + GF^ = EF^, andAG«4-GF^=AF^; therefore AE.EC+EF2=AF3=FB^ Bat FB^ =BE.ED + (5.2.)EF^there^orf AE.EC+EF^=BE.ED+£F«,andtaking EF^ from both, AE.EC.=BE.ED. Lastly, Let neither of the straight linesAC,BD pass through the centre: take thecentre F, and through E,…

Euclid's Elements · Geometry · Trigonometry

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