Researches in the Calculus of Variations, Principally on the Theory of Discontinuous Solutions: An Essay to which the Adams Prize was Awarded in the University of Cambridge in 1871Macmillan and Company, 1871 - 278 pages |
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1+p² 1+p³ axis of revolution axis of x boundary C₁ Calculus of Variations catenary circle circular arc condition continuous solution convex corresponding cos² cos³ course cusp cycloid denote determine diagram discontinuous solution dx dy dy dp dy dx ellipse expression fixed points given curve given length given points given volume gives greater Hence horizontal imposed infinitesimal integral sign investigation Jacobi's method least value less limits maximum or minimum moment of inertia negative obtain ordinate p₁ p²)² parabola pass path portion problem quickest descent radius of curvature required curve Required the curve resistance right angles satisfied second order shew sin² sin³ solid of revolution straight line suppose surface Sy dx tangent term Todhunter's touch velocity y₁ zero бу