The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 327
ir diameters. Let ABCD, EFGH be two circles, and BD, FH theirdiameters : the circle ABCD shall he to the circle EFGH as the square on BDis to the square on FH. For, if not, the square on BD must be to the square on FHas the circle ABCD is to some space either less than the circleEFGH, or greater… … C For the square EFGH is half of the square which can beformed by drawing straight lines to touch the circle at thepoints E, F, G, H;and the square thus formed > the circle; .-. the square EFGH > half of the circle. Bisect the arcs EF, FG, GH, HE at the points K, L, M, N;and join EK, KF, FL,…
Euclid's Elements · Geometry · Mathematics, Greek
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
