 If a polyhedron is such that no straight line can be drawn to cut its surface more than twice, it is said to be convex; otherwise it is said to be concave. Unless the contrary is stated, the word polyhedron means convex polyhedron.  Solid Geometry - Page 283by Wooster Woodruff Beman, David Eugene Smith - 1903Full view - About this book
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...faces ; the sides of those polygons, its edges ; .and the points where the edges meet, its vertices. If a polyhedron is such that no straight line can...however, be used wherever necessary for special emphasis. If the faces of a polyhedron are congruent and regular polygons, the polyhedron is said to be regular.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...faces ; the sides of those polygons, its edges ; and the points where the edges meet, its vertices. If a polyhedron is such that no straight line can...however, be used wherever necessary for special emphasis. If the faces of a polyhedron are congruent and regular polygons, and the polyhedral angles are all... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...consists,^ entirely of planes is called a polyhedron; the polygons" wTiich bound it are calleiLits f.acesv the sides of those polygons, its edges ; and the points...polyhedron means convex polyhedron. The word convex will, IIHHMIVIII, lir ii'ii'il wliMrvni in ij.^iiij for special emphasis. '.^ 383. If the faces of a polyhedron... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 395 pages
...lines CD, CM, FD, FA intersect plane Q in the vertices of a parallelogram. BOOK VII. — POLYHEDEA. I. GENERAL AND REGULAR POLYHEDRA. 381. Definitions. A...of a polyhedron are congruent and regular polygons, ancf the polyhedral angles are all congruent, the polyhedron is said to be regular. Exercises. 611.... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1903 - 1190 pages
...its faces; the sides of those polygons, its edges; and the points where the edges meet, its vertices. If a polyhedron is such that no straight line can...stated the word polyhedron means convex polyhedron. If the faces of a polyhedron are congruent and regular polygons, and the polyhedral angles are all... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 936 pages
...its faces; the sides of those polygons, its edges; and the points where the edges meet, its vertices. If a polyhedron is such that no straight line can...stated the word polyhedron means convex polyhedron. If the faces of a polyhedron are congruent and regular polygons, and the polyhedral angles are all... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 936 pages
...its faces; the sides of those polygons, its edges; and the points where the edges meet, its vertices. If a polyhedron is such that no straight line can...stated the word polyhedron means convex polyhedron. If the faces of a polyhedron are congruent and regular polygons, and the polyhedral angles are all... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...planes. 156. Definition. A polyhedron which lies entirely on one side of each of its bounding planes is said to be convex ; otherwise it is said to be concave. 157. THEOREMS. 1. All the faces of a convex polyhedron are convex polygons. (Compare § 142.) 2. Every... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...dihedral angle. If a polyhedron lies entirely on the same side of the plane of every one of its faces, it is said to be convex; otherwise it is said to be concave. (Throughout this text the word "polyhedron" will mean a convex solid.) 836 EXERCISES THE REGULAR SOLIDS... | |
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