by the generating lines of the two kinds respectively.Thus, for a quartic curve of the first kind, or quadriquadric, each generating lineof either kind meets the curve in 2 points; but for a quartic curve of the secondkind, or excubo-quartic, each generating line of the one kind meets the curve in3… … CURVES TRACED ON SURFACES. 359 Let AB = AG, and let us suppose the angle at B not tobe right, but to be = 0. Take BD^BG sec (9,and then, because all the sides of the tri-angle BCD are infinitely small, it may betreated as a plane triangle and the angleDCB is a right angle. We have…
Geometry, Analytic · Surfaces
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