ISBN: 123647645X

Paperback, [EAN: 9781236476456], RareBooksClub.com, RareBooksClub.com, Book, [PU: RareBooksClub.com], RareBooksClub.com, This historic book may have numerous typos and missing text. Purch… More...

Paperback, [EAN: 9781236476456], 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 edition. Excerpt: ... planes must therefore be itself also parallel to this axis, and consequently perpendicular to the plane of the great circle of contact Qr: we know then the direction of the line ft, namely that of this last-mefitioned axis, or perpendicular; and may proceed to deduce from it, as follows, the two other sought directions, of the lines a and y. Imagine that, at each of the two given points, Q and R, that is at each extremity of the base, a normal arc is erected, perpendicular to that given base, but contained upon the spheric surface, and situated (to fix our conceptions) on that hemisphere which contains the given vertex s. The common initial direction of these two perpendicular arcs, or (in other words) the common direction of the two corresponding and rectilinear tangents to the sphere, may (on the plan just now mentioned) be denoted by the letter ft, regarded as signifying a certain vector, to which both these tangents are parallel, and which is (as has been seen) perpendicular to the plane of the base. And then by suitably erecting (as suggested in fig. 50), at Q and R, two other normal arcs, perpendicular to the two given sides, Qs and us, we shall obtain, by their initial directions, the two other required vectors, a and y, as the initial tangents to these new normal arcs, or at least lines parallel thereto. 265. But these two new perpendiculars have the directions respectively of the axes of two new cylinders, circumscribed about the sphere so as to touch it alony the two sides of the triangle; and the tangent plane to the sphere at the vertex s of the triangle, being a common tangent to the sphere and to these two cylinders, contains two lines tangential to the sphere, and parallel respectively to the two axes of the two new cylinders, or..., 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<

ISBN: 123647645X

[EAN: 9781236476456], Neubuch, Shipping may be from our UK, US or Australian warehouse depending on stock availability. This item is printed on demand. 266 pages. 0.481