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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 201

An illustration from Analytical geometry for beginners, 1905, leaf 201
arallelogram be formed by drawing tan-gents at P, P, d, d, its area is constant, and equal to4«7>. (§ 87). For Area of H* = Cd x perp. from C on tangent at P, 1 = 4Cd. 4 a^ ¥ 4 196 Analytical Geometky. = 4ah. 107. Followiug tlie method of § 88, we may showthat the equation of the hyperbola… … Let Cx, Cy be the asymptotes of the h;y^erbola, onwhich P (x, y) is any point. Let PN be parallel toCy, so that Cy = x, WP=^y are the co-ordinates ofP when the asymptotes Cx\ Cyf are the axes of co-ordinates. PjVX, J/iV are parallel to Cy, and WLto Cx. Let a be the angle xCy = xCx!, so that (§ 100)…

Geometry, Analytic

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