Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 93
tion of the circle, referred to its centre and axes.To ascertain what this equation becomes when referred toOY, OX, axes making any angle with each other, we mustsubstitute in the rectangular equation the values of the old 78 PLANE ANALYTIC GEOMETRY. co-ordinates in terms of the new. Prom Art. 33,… … Now, in order that OY, OX may be conjugate diametersthey must be so related that the term containing xy in (2)must disappear; hence the equation of condition, cos (go — ^) = 0; .-. cp _ ^ = 90°, or cp - e = 270°. The conjugate diameters of the circle are therefore perpen-dicular to each other. As…
Geometry, Analytic
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