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" ... a number of polygons, the whole number of sides being that of the edges of the solid, and so on. If a solid be inscribed inside the sphere as in (57), we shall have a second solid inscribed in a sphere, having the same number of faces, edges, and... "
Elements of Spherical Trigonometry - Pàgina 29
per Augustus De Morgan - 1833 - 32 pàgines
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pàgines
...intersect the sphere in as many arcs, the whole of which will divide the surface of the sphere into a number of polygons, the whole number of sides being...relation which is found to exist between the number of faces, edges, and solid angles of a solid which can be inserted in a sphere, is equally true of...
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