A Treatise on Infinitesimal Calculus: Differential calculus. 1857

a₁ algebraical angles b₁ Calculus change of sign changes sign circle coefficients constant curve d2 F d2F d2F d2F dx d²u d²x d²y d2y dx2 d³u d³y determine differential equation dr dr dx dx dx dy dx² dy dx dy dy dy dz dy² equal equicrescent explicit function expression F(xo F(xo+h factors finite quantity geometrical given Hence homogeneous function increases increments indeterminate form infinitesimal Infinitesimal Calculus infinity Let f(x logarithm Maclaurin's maxima and minima maximum or minimum minimum value negative partial derived-functions particular values plane positive primitive equation proper fraction result right-hand member roots of f(x Similarly singular value straight line Sturm's Theorem substituting suppose symbols Taylor's Series Theorem tion vanish variables variations versin whence zero