Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 271
i- e. (— a sin <^, b cos </>). Hence, if PJ^ and DM be the ordinates of P and i),we have iTP CM and CJSr MD a a 286. If PCP and BCD be a pair of conjugate dia-meierSj then (1) CP^ + CD^ is constant, and (2) the area ofthe parallelogram formed by the tangents at the ends of thesediameters… … CONJUGATE DIAMETERS. 257 Let P be the point ^, so that its coordinates are a cos ^and h sin <^. Then D is the point 90° + </>, so that its co-ordinates are a cos (90° + ^) and h sin (90°+ <^),i.e. —a sin ^ and h cos <^. (1) We therefore have CP^ = « cos^ <^ + 6 sin^ <^,and CD^…
Coordinates · Geometry, Analytic
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