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 118
they make with the primitive axis of x shall be — —, in other words theymust be conjugate diameters. Putting tho resulting equation in the form 1, and maldng Xs = 0, A - sin2 a 4- B^ cos^ a A~ sin- a 4- B- cos a A-B^ ^ + AB^ and 2/3=0, successively, we find that the squares of the new… … 2pm=0. Ex. 12. Find the position of oblique axesto which when y^ = 2px is referred, the equa-tion will still have the same form. Sugs.—Passing to oblique axes in general, the equa-tion becomes{n + a^asin a:-}-2/2sin ay = 2p{m-{-Xscos a + yzcosa); or, expanding and collecting terms srQ2a:2/2 ^+2sin…
Geometry, Analytic · Calculus
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