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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

An illustration from 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, leaf 221
A^ 11 a/, a = «!• Conversely, if a = a-^, a = a-^. q. e. d. 313» Cor. 1.—The same property exists in the hyperbola and is dem-onstrated in the same way. 314, ScH.—This property affords a convenient method of drawing tan-gents. Thus to draw a tangent at D Figs. 206, 207, draw the diameter D D,the… … To draw a tangent parallel to a given line, or what is the same thing, making a given angle with the axis of x, draw a chord P B parallel to the given line EF, or making the given angle PBX, draw the supplementary chord PC, and the diameter D D parallel to PC. Through D draw MT parallel to PB and…

Geometry, Analytic · Calculus

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