A treatise on infinitesimal calculus, Volume 1

a₁ algebraical angle asymptote axis becomes calculated change of sign changes sign circle coefficients consider curve d2 F d2F d2F d²x d²y d2y dx2 d³y decreases denominator derived-functions determine dr dy dx dr dx dx dx dy dx dy dx dx² dy dx dy dy dy dz dy² dy³ equal equation equicrescent Evaluate explicit function expression f(xo factor finite quantity fraction geometrical given Hence homogeneous function hyperbola increases increments indeterminate form infinite infinitesimal Infinitesimal Calculus infinity involved logarithm maxima and minima maximum or minimum minimum value negative origin particular value plane of reference positive proper fraction radius real roots roots of f(x Similarly straight line substituting suppose supposition symbol tangent Taylor's Series tion vanish versin whence