Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 156
J52cos2a)y2 ^ (^2 sm^ct—JS^ cos^ol)x 4- 2(^-12 sin a sin a— B^ cos 2a-^COs2a)a;2) ^ _ ^,^a cosa)icy i The equations of condition (Art. 29), reduce the co-efficients of x\ and y^, to 0. Multiplying Equations (1)and ( 2 ) (Art. 29—2), and ( 3 ) and (4 ), and reducing, thecoefficient of xy, becomes,… … Interpretation of the equation. 31. If lines be dra^vnthrough the vertices of theaxes, they will form therhombus ADBD. The di-agonals (7P, (7§, of therectangles described on thesemi-axes, are equal to eachother, and each is equal toV!Z2~+TB2. But these are also equal to the diagonals BD^ BD\ and…
Geometry, Analytic · Calculus
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