An Elementary Treatise on the Differential and Integral Calculus

actual value algebraical approaches zero arbitrary value Assume asymptote Au₂ Ax Ax axis chord PQ circle conjugate point constant coordinates corresponding cosec cosec² curvature cusp d²x d³x d³y definition ds² dx dx dx dy dx dy dx dx² dx³ dy dx dy dx dy dy dy dy² equation explicit function expression finite give given curve Gregory's Examples Hence impossible roots increments independent variable indeterminate integral limiting value maxima and minima maximum or minimum method minima values mx dx negative notation obtain ordinate P₁ partial differential coefficients partial fractions particular value points of inflexion quantities radius ratio rational fraction reduced respect satisfy sec² substituting subtangent successive differentials tangent Taylor's theorem total differential u₁ U₂ value of f(x vanish Δα