 ... 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 - Page 29by Augustus De Morgan - 1833 - 32 pagesFull view - About this book
 | Mathematics - 1835 - 684 pages
...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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