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 433
ve a common radical axis, which is perp^ to the line throughthe middle points of the diagonals and contains the orthocentres of thefour triangles formed by taking the sides of the quadrilateral, three bythree. Prove also that these three circles cut orthogonally the self-conjugate circles of these… … S.-. KD bisects z RKT ; [Page Ixxiv, Ex. 3] /. RD:DT::RK;KT.Similarly KC bisects z RKS ; [Page Ixxiv, Ex. 3] .-. RC:CS::RK:KS..-. RD.KT = DT.RK and RC.KS = CS.RK:.-. RD.KT.CS = DT.RC.KS.But since CDQ is a transversal of A RST, .-. RD.TQ.SC = DT.QS.CR;.-. KT:TQ::KS:QS,i.e. TK:KS::TQ:QS./. KQ bisects…
Euclid's Elements · Geometry · Mathematics, Greek
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