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 119
lease on the curve. Ex. 13. To transform A^y^ — B^x^ = — A^B^ so that the hyperbolashall be referred to its asymptotes, i. e., to the produced diagonalsof the rectangle drawn on the axes of the curve. FROM ONE RECTILINEAR SET TO ANOTHER. Yi 89 K Stjgs.—Let AjXi and A1.Y1 be theprimitive axes, and… … Fig 94. y/A^ 4- B-^ \/a^ + B^ sign being given to the value of sin a. sincea is reckoned around the angular point Ai from left to right, and sin a is the sine ofa negative arc less than 90°. Putting these values in the formulce for passing A from rectangular to obUque axes, we have x = (x.^ +2/2)B…
Geometry, Analytic · Calculus
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