The book Vectorial Mechanics was written by author Ludwik Silberstein Here you can read free online of Vectorial Mechanics book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Vectorial Mechanics a good or bad book?
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Heaviside, loc. Cit. io8 VECTORIAL MECHANICS The most general vector may be expressed by a > A 7 being freely variable scalars. Now, if we take al instead of 1, both the numerator and the denominator will be simply multiplied by a, so that the quotient x will not be changed; again, adding /3m, we get in the numerator the complementary term ft . WmVcomcon, which vanishes identically, by (vn. ), and similarly also in the denominator (3 . MVmn = o ; hence x will still be unaltered. And it will rem...ain invariable if the term yn be added. Hence, if 1 be changed in the most general way, the value of x will not change ; and, similarly, if instead of m, n any other vectors be taken, x will still keep its value. Q. E. D. Applying the theorem to ft (as a special kind of w), we see by (57) that the ratio dr'jdr is independent of the dimensions and of . The shape of the volume-element dr. , and depends only on the properties of ft, i. E. On the properties of the given strain, at the place where dr is taken.
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