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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 206

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 206
sin </>, y = a cos 0, z = r(p. Since x- + y- = a-, the locus must lie onthe cylindrical surface whose axis is theZ-axis, radius of base a. Points corre-sponding to values of (p differing by 2 tt liein tlie same element of the cylindrical sur-face. The distance between the successivepoints of… … Art. 96. — Conical Surfaces Let the straii^^ht lino x = az -f «, y = hz + (i move in such amanner that it always intersects the XT-plane in the curveF(x, ?/) = 0, and passes through the point {x\ ?/, z). Thestraight line generates a conical surface whose vertex is(:r, ?/, z), directrix F{x, y) = 0.…

Geometry, Analytic

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