Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 368
Because x, y and z are fourth harmonics, 7 ^ az hx^^ cy iP) az _ hz~ hx _ ex ~ cy _ ay ~ ayBecause x, y and z are on a right line,az hx cy _bz ex ay~ By substituting for any two of these factors their valuesfrom {b), we prove the theorem, by § 288. EXERCISES. 1. Any two orthogonal circles cut the… … 338 MODERN OEOMETRT. Aiiliarmonic Properties of Conies. 309. Lemma. If two tangents to a circle are intersectedhij a third tangent, the points of intersection subtend fromthe centre of the circle an angle riieasured by one half the arcletioeen the tioo tangents. p \y Proof. Let 0 be the centreof…
Geometry, Analytic
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