A Treatise on the Differential Calculus

algebraical Algebraical Curves angle arbitrary functions asymptote axis change sign constant coordinates cosec curvature curve d'u d'u d'u dy d²u d²x d²z d³u d³y d³z denote df df df dx differential equations dr dr ds² du du dy du² dv dy dv₁ dx dx dx dy dx dx dz dx² dx dy dx³ dxdy dy dx dy dy dy dy dz dy² dy³ dz dx dz dy dz dz eliminate equal expression f(y₁ finite formula ƒ Y₁ Hence implicit function independent variable limit maxima and minima maximum or minimum minimum value multiple point negative osculating circle partial differential coefficients points of inflection putting shews Suppose tangent Taylor's Theorem theorem whence y+dy Y₂ zero αμ бу бх