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 388
aight lines. Bisectthe angle BOC by the straight lineOD. Draw AM perpendicular toOD and produce it to E, so thatAM = ME. Through A, E, draw a circle (byArt. 58) to touch the given straightline OB. This is done by producingEA to meet OB in F and taking FG2 = FA . FE. Since the circle passes through… … APPENDIX. TANG ENCIES. xlv and therefore the circle just drawn also touches OC. It is thereforethe required circle. There are two such circles ; for if we take CV on the other side of Vfrom G, such that FG^FG, a second circle can be drawn tlirou<,di A,E, and G which will also satisfy the…
Euclid's Elements · Geometry · Mathematics, Greek
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