A History of the Progress of Calculus of Variations During the Nineteenth Century

already appears application arbitrary constants axis becomes Calculus of Variations chapter complete condition considered consists constant contains curve Delaunay denote dependent determined differential coefficients differential equation discussed double integral dx dy dy dz equal examine example expression extends fact fixed formula function given gives Hence hold independent indicate integral integral sign involves Jacobi's known Lacroix Lagrange length limits manner maxima and minima maximum or minimum means memoir method minima values namely necessary notation observed obtain occur ordinary original plane Poisson positive preceding present principles problem proposed proved published quantities question refers relation remains remarks respect result Sarrus satisfied says second order shews solution Strauch suppose surface theorem theory third tion transformed treatise usual vanish variable volume zero