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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 168

An illustration from A first course in analytical geometry, 1905, leaf 168
diameter to mid-point of chord, and a line fromright end of chord to mid-point of diameter. Find locus of theirintersection. Ans. A parabola. 19. F is a focus of a conic, P a point on the corresponding directrix.Prove PF is ± to the polar of P. 20. Show that the polar of any point on the circle x^… … Fig. 112. SN is the given diameter, ST a tangent at its extremity S.We shall first find the equation referred to SN and SY per-pendicular to it. 9 MS m^2 = 4 ax J and putting this for y in we get OM = —, • .-. the point of contact S of any tangent r ci^ y = mx H 2 r ™J is (—- , —1, which was also…

Geometry, Analytic

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