Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 167
of contact and theaxis of X is called the subtangent. To find where the tangent intersects the axis of X, wemake i/ = 0 in the equation ofthe tangent. Thus the equa- tion of the tangent is ~^N. a^^ b - ^ 1 /iY\ Making ?/ = 0, we have I C ^ ii j . = J=C.. ^ ___^ Subtracting CM or x\ we have… … This property enables us to draw a tangent to an ellipsefrom any point on the curve. Thus, let P be any point on the curve; describe a circle on^^as a diameter, and produce the ordinate PM to meetthe circle in Q. Then if x is the abscissa CM, we have Subtangent of ellipse = 7— = subtangent of…
Geometry, Analytic
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