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 408
circle,let a straight line he drawn touching the former circle at 0 and the lattercircle at D, and meeting BA produced thi^ough A at T. Fro7n T drawany straight line meeting the smaller circle at K and L, and the largercircle at M and N, so that the five letters T, K, L, M, N are in thisorder. Then… … Join AC, BD. Then the A» TAC and TBD are ecxuiangular; :. TA : TB :: AC : BD ; [VL 4. :: AK J BM ;/. the A^TAK, TMB are similar; [VL 7, .-. zTAK = zTBM;.. AK, BM are parallel.Similarly AL, BN are parallel.And because AK, BM are IP and AC, BD are Ih.-. zCAK = zDBM; /. zCLK = zDNM; [IIL20. .. CL is…
Euclid's Elements · Geometry · Mathematics, Greek
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