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 205
his chapter, and conclude the course with this and the following section. Such astake the fuller course will not need to read this section, but should read Sec. XV.] 2GS T^TOh,—To produce the equation of a tangent to a plane curve. Solution.—Let M N be any plane curve whoseequation is y =f<^x)*,… … X — X P are points in the curve their co-ordinates willsatisfy the equation of the curve, and we have (1) y =f{x) and y—f(x); or (2) fix; y)= 0 and /,x, y) = 0. Fig. 186. y y If now we can find the value of —, -— from the two equations (1) or (2), in such a form that it will take a determinate,…
Geometry, Analytic · Calculus
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