Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 335
rom a point on one of them tothe other remains finite. On these assumptions the postulatecan be proved. But just as we cannot assume that two con-verging lines {ex. gr. a curve and its asymptote) will ultimatelymeet, so we must not assume that the distance between twodiverging lines will be… … CH. XIIl] THE PARALLEL POSTULATE 315 his argijment may be put thus*. It is desired to prove that iftwo lines AB, CD meet a transversal HACK, so that the sumof the angles BAC, ACD is less than two right angles, then ABand CD must (if produced) meet. One of the angles BAC, ACDmust be acute; suppose…
Geometry · Cryptography · Ciphers
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