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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 131

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 131
tangent to the parabola, geometrically.Let it be required to draw a tangent at P, Fig. 103.Draw the ordinate PD, take AT = AD, andthrough P and T draw a line. This will be thetangent required. Ex. 4. To find where the tangent to y^x =4(2 — x) (the witch of Agnesi, the radius ofthe fixed circle… … Fig 103. 00, 141, Def.—Tlie Subfangent is the portion of the axis ofabscissas intercepted between the foot of the ordinate from the pointof tangency, and the intersection of the tangent with this axis ; or itmay be defined as the projection of the corresponding portion of thetangent upon the axis…

Geometry, Analytic · Calculus

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