An Elementary Treatise on the Differential Calculus: With Applications and Numerous Examples

angle asymptote axes axis becomes branches called centre chord circle co-ordinates coincident conic considered constant continuous corresponding curvature curve cusp cycloid denote differential coefficients distance double drawn Eliminate ellipse envelope equal equation evolute EXAMPLES expansion expression figure Find fixed function given gives Hence homogeneous function independent variable infinite intersection length limit locus MATH maximum method minimum value negative normal obtain obvious operation origin parabola parallel pass pedal perpendicular plane point of contact point of inflexion polar pole positive powers prove quantity radius regard relation respectively result roots Show shown side spiral straight line Suppose tangent Theorem touch Trace triangle ultimately values vanish whence written zero дах ди ду дх