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 117
with I B^ . tho same oriofin, such that tan a tan « = -r-, and obtain the result in terms of the diameters lying on those axes. Sitgs.—The student is expected to recog-nize this as the equation of the hyperbolareferred to its own axes. The transforma-tion is in all respects like the above,… … Fig. 92. ScH.—In each of the two preceding examples, there were given, the equa-tion of the locus, and the position of the new axes, from which to find theform of the new equation. The converse of this problem is important ;i. e., Given the equation of the locus, and some specified form of its…
Geometry, Analytic · Calculus
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