Excerpt from Vectorial Mechanics
The main object of this little volume is to present the chief principles and theorems of theoretical mechanics in the language of vectors, and thereby to contribute to the diffusion of the use of vectorial methods.No space has been devoted therefore to any discussion of the philosophical aspect or of the origin of such concepts as "mass," "force," "work," and so on, or to any description of the long and laborious route which, in the historical development of mechanics, has led to the fundamental principles of this branch of science, and especially to d"Alembert"s Principle, nor of those routes which, in modern treatises, are supposed to lead to them. I emphasize d"Alemberts Principle rather than any other equivalent to it, because it is from this that a start is here made.
If our object were simply and solely a translation of mechanics into the language of vectors, we could indeed begin anywhere. But this book is not intended merely to present a loose juxtaposition of mechanical theorems and of their vectorial formulae. On the contrary, after the enunciation, in the first section of Chapter II., of the principle mentioned already we shall be able to proceed by a continuous, deductive road, so that those readers who are acquainted with little more than d"Alembert"s Principle will find here an almost systematic exposition of the chief parts of mechanics. Again, other readers who know the subject thoroughly, but only in its Cartesian form, which is based on the consideration of the scalar components of displacements, velocities, forces and so on, may perhaps wish to see their knowledge translated into vectorial language, which - to say the least - is considerably shorter and more satisfactory to the imagination than the scalar language.
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