A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 - Calculus |
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Common terms and phrases
a₁ algebraical angles asymptote axis b₁ becomes Calculus change of sign changes sign circle coefficients constants critical values curve cycloid d2F d2F d²x d²y d2y dx2 d³u d³y determine differential equation dimensions dr dr dr dy drawn dx dx dx dy dx² dy dx dy dy dy dz dy² elimination epitrochoid equa equal equicrescent expression F(xo F(xo+h factors finite quantity function geometrical Hence homogeneous function hyperbola increases infinite infinitesimal Infinitesimal Calculus infinity maxima and minima maximum or minimum minimum value negative nth degree origin partial derived-functions pass plane of reference positive radius real roots right-hand member roots of f(x shewn Similarly singular value straight line Sturm's Theorem substituting symbols tangent Theorem tion u₁ vanish variables variations whence zero