The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 59
ngle DBE: thereforethe angle DEB is greater than the angle DBE: but to the greaterangle the greater side is opposite (19. 1.); DB is therefore greaterthan DE: but DB is equal to DF; wherefore DF is greater thanDE, the less than the greater, which is impossible: therefore thestraight line drawn from… … PROP. IIL THEOR. If a straight line drawn through the centre of a cir-cle bisect a straight line in it which does not passthrough the centre, it shall cut it at right angles, and,if it cuts it at right angles, it shall bisect it. Let ABC be a circle; and let CD, a straight line drawn through BOOK…
Mathematics, Greek · Geometry · Trigonometry
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