Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 202
the ordinateMPi, the tangent TP,,and the normal P^N.Then [Art. 63], thesubtangent is TM, thesubnormal is NM, thetangent length TPj,and the normal length NP^. The tangent at Pi has for its equation M = 2p(a! + a^), (2) hence its avintercept is — x-^, \_=AT\. But AM = <tii,therefore TM =2xi. This… … Fig. 79. y-yi = 2p (x-x^), (3) 186 SPECIAL PROPEETIES OF THE CONICS [Ch. IX hence its a;-intercept is ajj + 2p, [ = ANJ. But AM = x^,therefore NM= —2 p. ThaX \&, the subnormal of the jMrahola y^ = 4:px is constant;it is numerically equal to half the latns rectum. These properties suggest simple…
Geometry, Analytic
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