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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 204

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 204
that all the varieties will be obtained by varying u from0 to 90°. 47, Let us then resume the equation of intersection,2/2 tan^y + x^ cos^w (tan^y — tan^w) + 2caj sin w = c-, BOOK VI.] SURFACE OF THE CONK. and begin the discussion of it, by supposing, u = 0, which will cause the secant planeto… … 48. If we now suppose u to increase, the curve ofintersection will be an ellipse, so long as u <C v; that is, ^ a right cone with a circular base be intersected bija plane^ maJcing with the base of the cone an angle lessthan the angle formed by the generatrix and base^ all theelements of the…

Geometry, Analytic · Calculus

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