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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 145

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 145
he area of the circumscribedparallelogram equals the area of the rectangle on the axes. Art. 68. — Eccentric Angle of the Hyperbola On the transverse axis of the hyperbola describe a circle.Through the foot of the ordinate of any point (x, y) of thehyperbola draw a tangent to thiscircle; the angle… … Let Al\ and AP-. be a pair of conjugate diameters of the IllOlEliTlES OF THE CONIC SECTIONS 131 hyperlxtla 1; (.i\,i/i) the coordinates, c/), the eeeeutric angle of the point I\ ; 6 and0 the angles included by theconjugate diameters and theaxes of the hyperbola. Then b tan <^, tan .Tj ((sec…

Geometry, Analytic

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