Abstract
STARTING with the formulæ connecting the coordinates ot a particle of a rigid body referred to axes fixed in space with its coordinates referred to axes fixed in the body, the equations of motion of a rigid body moving in three dimensions are deduced from D'Alembert's theorem. The applications include the problems of motion under no forces, in which the equations are integrated by elliptic functions, the simple and compound pendulum, motion of a billiard ball, &c., and Lagrange's equations are also treated in this part. The second part deals with Hamilton's principle in its various forms, and the third with Jacobi's theorem. The work differs in many respects from the conventional English text-books, in which special attention is given to the properties of moments of inertia and numerical examples rather than to rigorous deductions of the fundamental equations. Those whose lot it is to lecture on “three dimensional rigid” will find a study of this book very useful and suggestive.
Principii di Stereodinamica.
By Gian Antonio Maggi, Professor at Pisa. Pp. 264. (Milan: Ulrico Hoepli, 1903.)
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B., G. Principii di Stereodinamica . Nature 69, 151 (1903). https://doi.org/10.1038/069151a0
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DOI: https://doi.org/10.1038/069151a0