Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 165
s toevery point of the ellipse, whatever the coordinate axes chosen,and to no other point: viz., if P be any point of the ellipse(Fig. 65), then i.e., stated in words: If from any point on the ellipse a perpendicular be drawn tothe transverse axis; then the square of the distance from the centerof… … Fig. 66. This geometric or physical property belongs to no point noton the curve, and therefore completely determines the ellipse.It enables one to write immediately the equation of any ellipsewhose axes are parallel to the coordinate axes. 87, 88] THE ELLIPSE 149 For example: if, as in Fig. 66,…
Geometry, Analytic
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