A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 221
rmer. Ex. 1. In an ellipse whose axes are 8 and 6, one supplementarychord to the transverse axis makes an angle with that axis whosetangent is 2 ; what angle does the other make ? Solutions. the formula A- -Arithmetically. Usingaa = — -^, a = 2, J5 = 3, and J. =^ 4; whence a = 9— —; or the angle is… … Fig. 208. Ex. 2. The same as above, the tangent of the angle being — 5, andthe axes 10 and 6, Ex. 3. The same numbers as in Ex. 1, applied to the hyperbola.What are the co-ordinates of the point in the curve from which thechords are drawn? _B2 9 SuG.—^For the solution of the last question we have…
Geometry, Analytic · Calculus
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