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" The question arises whether the quaternionic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold any such place among the fundamental geometrical conceptions as the geometrical sum, the scalar... "
Proceedings of the Edinburgh Mathematical Society - Pàgina 65
per Edinburgh Mathematical Society - 1893
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Proceedings, Volum 19

Royal Society of Edinburgh - 1893 - 388 pàgines
...question arises, whether the quaternionic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold...product, or the vector product. The geometrical sum a + ft represents the third side of a triangle as determined by the sides a and ft. Va/3 represents in...
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Proceedings of the American Association for the ..., Volum 40,Part 1891

American Association for the Advancement of Science - 1892 - 606 pàgines
...The question arises whether the quaternlouic product can claim a prominent and fundamental place ID a system of vector analysis. It certainly does not hold...side of a triangle as determined by the sides a and ,5. Fa,J represents in magnitude the area of the parallelogram determined by the sides a and /5, and...
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Proceedings of the American Association for the Advancement of Science, Volum 40

American Association for the Advancement of Science - 1892 - 604 pàgines
...question arises whether the quaterniotiic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold...product, or the vector product. The geometrical sum a + ft represents the third side of a triangle as determined by the sides a and /3. Fa/9 represents in...
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Proceedings, Volum 40

American Association for the Advancement of Science - 1892 - 614 pàgines
...The question arises whether the quaternionic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold...product, or the vector product. The geometrical sum a + ,? represents the third side of a triangle as determined by the sides a and ;5. F«,? represents...
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Proceedings of the American Association for the Advancement of Science, Volum 40

American Association for the Advancement of Science - 1892 - 604 pàgines
..."The question arises whether the quaterniouic product can claim a prominent and fundamental place in a system, of vector analysis. It certainly does not...product, or the vector product. The geometrical sum a + ;? represents the third side of a triangle as determined by the sides a and /?. Vafi represents in...
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Proceedings of the Royal Society of Edinburgh, Volum 19

Royal Society of Edinburgh - 1893 - 410 pàgines
...Professor Gibbs's position is best described in his own words (Nature, vol. xliii. pp. 511-12): — It certainly does not hold any such place among the...scalar product. or the vector product. The geometrical ium a + J3 represents the third side of a triangle as determined by the sides a and ft. Ya/3 represents...
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Principles of the Algebra of Physics

Alexander Macfarlane - 1894 - 244 pàgines
...The question arises whether the quaterniouic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold...product, or the vector product. The geometrical sum a + ft represents the third side of a triangle as determined by the sides a and ft. Va(l represents in...
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The Collected Works of J. Willard Gibbs, Volum 2

Josiah Willard Gibbs - 1902 - 530 pàgines
[ El contingut d’aquesta pàgina està restringit ]
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Scientific Papers of J. Willard Gibbs: Dynamics. Vector analysis and ...

Josiah Willard Gibbs - 1906 - 312 pàgines
...question arises, whether the quaternionic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold...product, or the vector product. The geometrical sum a+/8 represents the third side of a triangle as determined by the sides a and /3. Va/3 represents in...
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