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Analytic geometry and principles of algebra (1913)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 256

An illustration from Analytic geometry and principles of algebra, 1913, leaf 256
nes can only l)e either real and different, or imaginary. Inthe latter case the point {x^^, y^^) is the oidy real i)oint whosecoordinates satisfy the original equation. 255. Ellipse and Hyperbola. If C ^ 0 we can divide (8)by — C so that the equation reduces to the form (12) ax--\-2hxi/-^bf=l. This… … Fig. 103 If an ellipse or hyperbola, with its center, l)e given .graphi-cally, the axes can be constructed by inter-secting the curve with a concentric circleand drawing the lines from the center tothe intersections; the bisectors of theangles between these lines are evidentlythe axes of the curve…

Geometry, Analytic

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