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 78by Alexander Macfarlane - 1894 - 53 pagesFull view - About this book
| 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... | |
| 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.... | |
| 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.... | |
| 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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