e focus on the tangent. The tangent beiug ay = )iix -\—,m the straight line FY. through the focus (a, 0) and per-pendicular to this is (§§ 22, 25) 1, y= —(x-a). If we combine these equations, we obtain an equa-tion which is true at Yy the intersection of the lines.Therefore at Y a X a mx \-- = + -,… … G ^ Hence FTP being an isosceles triangle, and FY per-pendicular to the base, FY bisects the angle TFF.Hence the triangles AFY, YFP are similar,^ ^F FY^^^ FY=Wor FT- = AF.FP. 58. The results of §§ 56-7 may be obtained, pos-sibly more simply, as follows: The triangle TPG being right-angled, and…
Geometry, Analytic
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