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 348
-. AO = BO.Thus the A ^ AFO, BFO have their sides respectively equal ;.-. the z« AFO, BFO are equal, and .*. each is a rt. z; [I. 8 and Def 10..*. FO bisects AB at rt. z«; .*. etc. Corollary. Since AO = BO = CO, the point 0 is equidistant from theangular points of the A . When three straight lines,… … Let ABC be a A ; D, E, F the middle points of its sides; let BE,CF meet in G.Join AG, GI); they shall he in the same straight line. The aBEA=aBEC, and aGEA=aGEC; [1.38, /. by subtraction, A BGA = A BGC. \ Similarly, A CGA = A BGC ;/. aBGA-aCGA.Also A BGD - A CGD ; [I. 38. /. the A«BGA, BGD…
Euclid's Elements · Geometry · Mathematics, Greek
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