Rectification of curves by rectilinear or polar co-ordinates. Examples. Numerical applications.
Cubic content of solids of revolution. Quadrature of their surfaces.
Cubic content of solids in general, with rectilinear or polar co-ordinates. Numerical applications.
Quadrature of any curved surfaces expressed by rectangular co-ordinates. Application to the sphere.
Lessons 39–42. Mechanical Applications.
General formula for the determination of the center of gravity of solids, curved or plane surfaces, and arcs of curves. Various applications.
Guldin’s theorem.
Volume of the truncated cylinder.
General formula which represent the components of the attraction of a body upon a material point, upon the supposition that the action upon each element varies inversely as the square of the distance. Attraction of a spherical shell on an external or internal point.