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Elements of analytic geometry (1916)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 146

An illustration from Elements of analytic geometry, 1916, leaf 146
two conjugate diameters thusform a circumscribed parallelogram (Fig. 77). The diameter conjugate to either axis of the ellipse is theother axis ; the parallelogram in this case becomes a rectangle. VII, § 136] ELLIPSE AND HYPERBOLA 135 136. Diameters of a Hyperbola. For the hyperbola thesame… … Fig. 78The solution of the simultaneous equationsy = mx, b^x^ — a^y^ = a^b^ gives: x = ± ab -s/b^ l=±- mab ■ma^ V6= These values are real if m < b/a and imaginary if m>6/a(Fig. 78). In the former ease it is evidently proper to call thedistance PQ between the real points of intersection a…

Geometry, Analytic

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