Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 124
ogous points; those at the termini of non-parallel radii, as ((>, P) and (P, Q), are called anti-ho-mologous. 108 PLANE ANALYTIC GEOMETRY. 93. Theorem II. If tivo secants he drmvn through acentre of similittide, then— I. Tlie distances of any two homologous points on one secantfrom the centre of… … Hypothesis. Two secants, SQ and ST, from the centreof similitude S, cut the circles in the points P, Q, P andC, and R, T, R and T respectively.Conclusions: I. SP : SP = SR : SR;SQ: SQ = ST: ST.11. SP. SQ = SR . Sr = SQ . SP = ST. SR. Proof. I. Draw the central line and the radii to tliepoints of…
Geometry, Analytic
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