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" This objection is not valid against the method of quaternions as the algebra of versors or directed quotients, that, is, geometric ratios; but it is valid against it as claiming to be the algebra of vectors or physical magnitudes. The primary definition... "
Principles of the Algebra of Physics - Page 78
by Alexander Macfarlane - 1894 - 53 pages
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The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, and ..., Volume 20

Encyclopedias and dictionaries - 1888 - 916 pages
...therefore, except in some of its degraded forms, possessed of the perfect isotropy of Euclidian space. From the purely geometrical point of view, a quaternion...in space — or, what comes to the same thing, as t/te factor, or operator, which, changes one directed line into another. Its analytical definition...
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Proceedings, Volume 40

American Association for the Advancement of Science - American periodicals - 1892 - 614 pages
...not valid against the method of quaternions as the algebra of versors or directed quotients, that, is, geometric ratios; but it is valid against it as...the quotient of two directed lines In space, or what conies to the same thing as the factor or operator which changes one directed line into another," Ency....
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Proceedings of the American Association for the ..., Volume 40, Part 1891

American Association for the Advancement of Science - 1892 - 606 pages
...is not valid against the method of quaternions as the algebra of versors or directed quotients, that is, geometric ratios; but it Is valid against it as...the quotient of two directed lines in space, or what conies to the same thing as the factor or operator which changes one directed line into another," Ency....
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Proceedings of the American Association for the Advancement of ..., Volume 40

American Association for the Advancement of Science - Science - 1892 - 604 pages
...is not valid against the method of quaternions as the algebra of versors or directed quotients, that is, geometric ratios; but it is valid against it as...of two directed lines. "From the purely geometrical poiut of view, a quaternion may be regarded as the quotient of two directed lines in space, or what...
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