Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 120
e reciprocal of the circle C with respect tothe circle 0, x- + y- = r^. * The principle of duality was developed by Poncelet (1822) and Ger-gonne (1817-18) as a consequence of reciprocation, independently ofreciprocation by Mobius and Gergonne, pnoPEirriEs of the circle 105 The line nir{xxx + mn =… … Op^(x2-+y2~)lHence OC-pK= CP- Op, or ^ = ^.pK CP oc —^ is constant, and therefore p nmst generate a conic section whose focus 00 is O, directrix ////, eccentricity -—. This conic section is an ellipse when O is within the circumference of the circle C, a parabola when 0 ison the circumference, an…
Geometry, Analytic
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