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 412
int, and EM is a knownmagnitude, the position of M becomes known. [Page 142, Ex. 12.]We have then only to shew how F is to be determined. The zMFA = the zMEN, [L 29. and .-. =the zMPN; [IIL 21. .-. MAF, BAP are similar a«; [VL 4. .-. MA : AF :: BA : AP;.-. rect. MA, AP = rect. AF, BA.But since A is… … Let A, B, C be the three given points. Suppose PMN to be therequired A inscribed in the given circle. Draw NE \f- to AB, and determine the point F as in the precedingproblem. We shall then have to describe in the given circle a a EMNso that two of its sides may pass through given points, F and C,…
Euclid's Elements · Geometry · Mathematics, Greek
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