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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 154

An illustration from The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners, 1903, leaf 154
xis, the tangent andnormal at that point bisect the external and internal angles be-tween these lines. 84. If we describe a circle on the major axis of an ellipse asa diameter, corresponding or-dinates of the ellipse and cir-cle will have a constant ratio,b : a. In the figure, y^ {= ^i F^)and… … I _ v^ . 3 . 1 S THE CONIC SECTIONS. 147 therefore, remembering that a and x^ are by hypothesis the samein these equations, which was to be proved. It may be shown in like manner that when a circle is inscribedin an ellipse, with the minor axis as a diameter, correspondingabscissas of ellipse and…

Geometry, Analytic -- Plane

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