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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 347

An illustration from 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, leaf 347 — required.Draw PX, QM, RN, SO ||^ to AB to meet QQ, RR, SVS, andTB in L, M, N, O. Then zQLP = zLQP = zPTA,and zQFL = zFAP. [I. 29. .. since AF = PQ, the A« APP, PLQ are equal in all respects.Similarly with the A«QMR, RNS, SOT. /. AP=:PL-QM = RN = S0..*. AP = PQz=QR = RS = SB. [I. 34. The method is… … B D C Let ABC be a A ; bisect BC, CA, and AB at D, E, F respectively.Draw DO perp^ to BC and EO perp* to CA, and let them meet in O.Join OA, OB, OC, OF. In the A«BDO, CDO we have BD = CD, DO common, and thert. zBDO = the rt. zCDO ; [I. 4. .-. BO = CO. Similarly, from the A«CEO, AEO we have CO^AO;…

Euclid's Elements · Geometry · Mathematics, Greek

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