Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 236
hat sin- (f> -\- cos- ^ =: 1, we geta2 + b2 == a- + b-. 111. Ellipse referred to Conjugate Diameters as Axes. Let it be required to transform the equation of the ellipse a- b^ from the old axes OX and OY to new ones OX and OY,the latter being a pair of conjugate diameters of the ellipse. Since… … FlfJ. 97. Substituting in the equation of the ellipse, we have (x cos ^ + ycos Oy (x sin 6) + y sin 6)- _ a^ + b^ ~^ which reduces to cos^ 6 , sin^ , „ , , , cos 0 cos 6 , sin 6 sin 6+ 2xy •; -, h = 1. , ,„ , ccs^ 0 , sin^ e We need now to see what special form the coefhcientsassume owing to the…
Geometry, Analytic
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