The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 176
ted. The locus of Q, whichwe shall prove to be in all cases a straight line iS called thepolar of B. Let us consider first the case in which the coriic is an ellipse. i68 ANALYTIC GEOMETRY. As usual we will use the major and minor axes of this ellipseas coordinatvf axes, writing its equation in the… … C, D must divide F Q harmonically (v. § 97). We will intro-duce as an auxiliary variable (v. § 56) the ratio in which thepoint C divides the line F Q. Calling this ratio //, we have byformulae (3) and (4) of § 98 as the coordinates of C and Drespectively (x,-^ix y, - ^y\ , /x^ /Ax^ y, + ^iy\ ,. V I…
Geometry, Analytic -- Plane
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