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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
<f) + h- cos^ cf>; that is, when tan- <^ = 1, tan </> = ± 1, <^ = 45° or 13)°. The cipiationsof the cc^ual conjugate diameters are y = ±~x, and their length Vw(u + b-). The area of the parallelogram circumscribed about the K 130 .1NAL VTIC GEOMETll Y ellipse with its sides… … X cos <^i y sin c^j 1. The length of the perpendicular from the origin to thistangent is AJS — /cos- </>! sin-</)|\ - ^11^ a? ^ U^ ) Hence 4 6 • AN= 4a6; that is, the area of the circumscribedparallelogram equals the area of the rectangle on the axes. Art. 68. — Eccentric Angle of the…

Geometry, Analytic

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