Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 321
theradius. 11. What is the altitude of a cone inscribed in a sphere when the convex surface is a maximum ? Ans, - r.3 12. What is the length of the axis of a maximumparabola which can be cut from a given right cone witha circular base? Let JBAC be a section of thecone by a plane passed through… … * An. G., Bk. II. Art. 4—8. f Leg., Bk. VIII. Prop. 5. X Legendre, Bk. lY. Prop. 23. Cor. 2. SEC. v.] MAXIMA AND MINIMA. 117 By simiJar triangles, we have, _ ax -.^ 0 Hence, the area of the parabola (Art. 59) is. 2 ax u = - -7- -x/hx — JB^.3 0 Omitting the constant factors, and remembering that…
Geometry, Analytic · Calculus
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