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 385
ntre of the circumcircle of the a PLK... PY-YK = YL.Again, since OD^DH, and ODK, HDK are right z% .-. zOKD = zHKD [L 4. -zYKL-zYLK, since YK-YL. {Proved.):. OK and LNM are parallel. .. LNM is a straight line drawn through the middle point Y of theside PK of the a PKC parallel to its base KC. .-.… … Let 0 be the centre of the circumcircle. Bisect 00 in N andjoin NX. Then, by Art. 53, N is the centre of the nine-point circle. Hence, since X and N are the middle points of OP and COrespectively, NX is parallel to, and is one-half of, OP.:. NX = one-half of the circum-radius = the radius of the…
Euclid's Elements · Geometry · Mathematics, Greek
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