ISBN: 123126215X

[SR: 6589626], Paperback, [EAN: 9781231262153], RareBooksClub.com, RareBooksClub.com, Book, [PU: RareBooksClub.com], RareBooksClub.com, This historic book may have numerous typos and miss… Altro …

[SR: 6589626], Paperback, [EAN: 9781231262153], RareBooksClub.com, RareBooksClub.com, Book, [PU: RareBooksClub.com], RareBooksClub.com, This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1853 Excerpt: ...(mentally distinct) conceptions of Line and Number; every Vector, or directed right line in tridimensional space, having (as above shewn) a Negative Square; while every Scalar, whether it be itself a positive or a negative number, has, on the contrary, in this system as in algebra, a Positive Square. But whatever may be thought, at this stage, of the convenience or advantage of this distinction, it may be already clearly seen, that the distinction itself is a necessary part of the present Theory, indispensable to its self-coherence, and required by its internal unity. To reject this result, while other essential elements of the system were retained, would be equivalent to the absurdity of asserting, that two quadrantal and similarly directed rotations, in one common plane, did not invert the direction of the revolving line; or that two quadrants did not make one semicircle. 86. By a slight extension of the recent use of an exponent, it is easy to give a clear and definite signification to such symbols as ii,j$, ki, &c, and to shew that these symbols also may represent versors, a'though not quadrantal versors. The symbol i has been already seen to represent an inversor, namely,-or-1 (see articles 75, 85), because it represents an operator or factor which produces two semi-inversions in one plane. In like manner, the symbol ii may now naturally represent an operator which produces, in the plane perpendicular to t, the third part of a semi-inversion, or the third part of a quadrantal rotation. This operator would, therefore, cause a telescope, in the plane of the prime vertical, to advance through thirty degrees in a right-handed rotation round a southward axis; or in fig. 15, it would have the effect of making the hour-hand advance from IX. to X., or gene..., 1000, Subjects, 1, Arts & Photography, 2, Biographies & Memoirs, 3, Business & Investing, 3248857011, Calendars, 4, Children's Books, 12290, Christian Books & Bibles, 4366, Comics & Graphic Novels, 5, Computers & Technology, 6, Cookbooks, Food & Wine, 48, Crafts, Hobbies & Home, 21, Education & Reference, 301889, Gay & Lesbian, 10, Health, Fitness & Dieting, 9, History, 86, Humor & Entertainment, 10777, Law, 17, Literature & Fiction, 173514, Medical Books, 18, Mystery, Thriller & Suspense, 20, Parenting & Relationships, 3377866011, Politics & Social Sciences, 173507, Professional & Technical, 22, Religion & Spirituality, 23, Romance, 75, Science & Math, 25, Science Fiction & Fantasy, 4736, Self-Help, 26, Sports & Outdoors, 28, Teens, 27, Travel, 283155, Books<