Definition of moments of inertia. How to calculate the moment of inertia of a body in relation to a straight line, when the moment in relation to a parallel straight line is known. How to represent the moments of inertia of a body relative to the straight lines which pass through a given point by means of the radii vectores of an ellipsoid. What is meant by the principal axes of inertia.
Determination of the principal moments of inertia of certain homogeneous bodies, sphere, ellipsoid, prism, &c.
Lessons 43–45. Calculus of Differences.
Calculation of differences of different orders of a function of one variable by means of values of the function corresponding to equidistant values of the variable.
Expression for any one of the values of the function by means of the first, and its differences. Numerical applications; construction of tables representing a function whose differences beyond a certain order may be neglected. Application to the theory of interpolation. Formulæ for approximation by quadratures. Numerical exercises relative to the area of equilateral hyperbola or the calculation of a logarithm.
Lessons 46–48. Revision.
General reflections on the subjects contained in the preceding course.
ANALYSIS.—SECOND YEAR.
CONTINUATION OF THE INTEGRAL CALCULUS.
Lessons 1–2. Definite Integrals.