An Elementary Course of Infinitesimal Calculus

angle axis cardioid catenary changes sign chord circle coefficients constant continuous function coordinates cos² cos³ cosh cycloid cylinder definition denote derived function diameter differential equation distance dx dx dx dy dx² dy dx dy/dx ellipse envelope equal EXAMPLES formula geometrical given Hence hyperbola increases indefinite integral independent variable integral interval inverse length limiting value magnitude maxima and minima maximum mean centre minimum negative normal ordinate origin parabola parallel perimeter perpendicular plane polygon positive Prove quantity radius of curvature ratio respectively result root sec² shew sin x sin² sin³ sinh ẞx straight line subtangent surface tangent tanh theorem Trace the curve vanishes velocity volume whence x₁ Y₁ δα бу