Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 70
CH. Ill] GEOMETRICAL RECREATIONS 49 OE perpenrlionlar to AC produced. Draw OF perpendicularto ^^ produced. Join OB, 00. Following the same argument as before, from the equalityof the triangles AOF and AOE, we obtain AF=AE\ and,from the equality of the triangles BOF and GOE, we obtainFB = EG.… … Thus in all cases, w^hether or not DO and AO meet, andwhether they meet inside or outside the triangle, we haveAB=AG: and therefore every triangle is isosceles, a resultwhich is impossible. Fifth Fallacy*. To prove that ttJ^ is equal to ir/S. On thehypothenuse, BO, of an isosceles right-angled…
Geometry · Cryptography · Ciphers
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