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 406
llel to CP meeting OP, produced ifnecessary, at Q. Then the A« OCP and ODQ are similar ; [VI. 4... OQ : OP :: OD : OC, that is, in the fixed ratio... Q is a point on the locus.And DQ is to CP in the fixed ratio, so that DQ is of constantlength. Hence the locus is a circle of which D is the centre.… … the given condition, so that OP : PO in the given ratio. Bisect theinterior angle OPO by a straight line PK meeting 00 in K, andbisect the exterior angle at P by the straight line PL meeting 00 in L. Then, by YI. 3 and A, OK : KO:: OP : PO,and OL : LO :: OP : PO. .*. the ratios OK : KO and OL : LO…
Euclid's Elements · Geometry · Mathematics, Greek
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