Subjects for Mathematical Essays
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In our eReader you can find the full English version of the book. Read Subjects for Mathematical Essays 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 Subjects for Mathematical Essays
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7. Prove that the sum of all the plane angles of the faces of a polyhedron with V vertices is 4F-8 right angles or double the sum of the interior angles of a convex polygon with the same number of vertices.
8. A polyhedron with F faces has all its faces triangular ; prove that the number of vertices is |(i^ + 4).
If i^ = 10, prove that there is at least one vertex in which more than four faces meet.
59.
THE TETRAHEDRON AND ITS CIRCUMSCRIBING PARALLELEPIPED.
1. Through two non-planar lines, one,... and only one, pair of parallel planes can be drawn.
2. Defining each pair of edges of a tetrahedon which do not meet as opposite edges, show that the three pairs of parallel planes drawn through opposite edges form a parallelepiped, and that each edge of the tetrahedron is a diagonal of a face of the parallelepiped.
SUBJECTS FOR MATHEMATICAL ESSAYS 63 3. If two opposite edges of a tetrahedron be equal, the corresponding faces of the circumscribing parallelepiped are rectangles ; and, if two opposite edges of a tetrahedron be at right angles, the corresponding faces of the parallelepiped are rhombuses.
What to read after Subjects for Mathematical Essays?
You can find similar books in the "Read Also" column, or choose other free books by Davison Charles to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
7. Prove that the sum of all the plane angles of the faces of a polyhedron with V vertices is 4F-8 right angles or double the sum of the interior angles of a convex polygon with the same number of vertices.
8. A polyhedron with F faces has all its faces triangular ; prove that the number of vertices is |(i^ + 4).
If i^ = 10, prove that there is at least one vertex in which more than four faces meet.
59.
THE TETRAHEDRON AND ITS CIRCUMSCRIBING PARALLELEPIPED.
1. Through two non-planar lines, one,... and only one, pair of parallel planes can be drawn.
2. Defining each pair of edges of a tetrahedon which do not meet as opposite edges, show that the three pairs of parallel planes drawn through opposite edges form a parallelepiped, and that each edge of the tetrahedron is a diagonal of a face of the parallelepiped.
SUBJECTS FOR MATHEMATICAL ESSAYS 63 3. If two opposite edges of a tetrahedron be equal, the corresponding faces of the circumscribing parallelepiped are rectangles ; and, if two opposite edges of a tetrahedron be at right angles, the corresponding faces of the parallelepiped are rhombuses.
What to read after Subjects for Mathematical Essays?
You can find similar books in the "Read Also" column, or choose other free books by Davison Charles to read onlineMoreLess
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