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 420
Bmeet in 0, and let OD meet ACB in D^. Then, by Ex. 7, ACBDjis a harmonic range; but, by hypothesis, so also is ACBD. .*. Dand Dj coincide, etc.] 11. If two harmonic pencils are such that the intersections of threepairs of corresponding rays are on a straight line, the intersection ofthe fourth… … duced if necessary, meet the circle in K. On OP take a point Q, suchthat OP . OQ = 0K2 = (radius)^. Then Q is called the inverse of the point P with respect to the circle. [By Art. 42 it follows that Q is the point where OP meets the polarof P.] There is no real necessity for drav/ing the circle.…
Euclid's Elements · Geometry · Mathematics, Greek
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