Solid Geometry
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In our eReader you can find the full English version of the book. Read Solid Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Solid Geometry
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4. . '. ABDC is a circle and C is its center.
§ 165, def. O 447. Definitions. A great cii^cle of a sphere is a circle passing through its center ; a small circle, one not passing through its center.
Corollaries. 1. The line determined hy the center of a sphere and the center of any small circle of that sphere is perpendicular to that circle.
For the line OC from the center of the sphere perpendicular to the circle has been proved to coincide with the line determined by the center of the circle ...and the center of the sphere, and there is only one line from the center of the sphere perpendicular to the circle.
328 SOLID GEOMETRY. [Bk. VIII.
2. Of two circles of a sphere, the first is greater than, equal to, or less than, the second, according as its distance from the center is less than, equal to, or greater than, that of the second.
For AO^ = r- - OC- ; . -. The smaller OC, the greater AC, etc.
3. A great circle has the same center and radius as the sphere itself ; hence all great circles of a given sphere are equal.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Wooster Woodruff Beman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
4. . '. ABDC is a circle and C is its center.
§ 165, def. O 447. Definitions. A great cii^cle of a sphere is a circle passing through its center ; a small circle, one not passing through its center.
Corollaries. 1. The line determined hy the center of a sphere and the center of any small circle of that sphere is perpendicular to that circle.
For the line OC from the center of the sphere perpendicular to the circle has been proved to coincide with the line determined by the center of the circle ...and the center of the sphere, and there is only one line from the center of the sphere perpendicular to the circle.
328 SOLID GEOMETRY. [Bk. VIII.
2. Of two circles of a sphere, the first is greater than, equal to, or less than, the second, according as its distance from the center is less than, equal to, or greater than, that of the second.
For AO^ = r- - OC- ; . -. The smaller OC, the greater AC, etc.
3. A great circle has the same center and radius as the sphere itself ; hence all great circles of a given sphere are equal.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Wooster Woodruff Beman to read onlineMoreLess
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