 | Samuel Hunter Christie - 1847 - 172 pages
...called the edges; and the point where these planes meet is called the vertex of the solid angle. 13. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar plane rectilineal figures. 14. A Pyramid is a solid figure contained by plane triangles that... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...Each bounding plane will be a polygon, and is called a face of the polyhedron. 2. Similar polyhedrons are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.* 3. A Pyramid is a solid figure contained by triangular planes meeting in one point,... | |
 | Euclides - 1848 - 52 pages
...by the meeting, in one point, of more than two plane angles, which are not in the same plane. X. XI. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. XII. A pyramid is a solid figure contained by planes that are constituted betwixt one... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...eight, an octaedron; if twelve, a dodecaedron ; if twenty, an icosaedron, &c. 3. Similar polyedrons are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes. 2. The intersections of the faces of a polyedron are called its edges. A diagonal of... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...similar cylinders; and if it be known that ^ab, or AB : ab :: | - : 1 " 4 : 3, * DEF. Similar solids are such as have all their solid angles equal, each to each, and are bounded by the same number of similar plane surfaces. Similar cones and cylinders are those which have... | |
 | Euclides - 1855 - 230 pages
...such as are contained by similar planes equal in number, magnitude, and inclination to one another. 9. SIMILAR SOLID FIGURES are such as have all their solid...contained by the same number of planes similarly situated. 10. A PYRAMID is a solid figure contained by planes that are constituted between one plane figure and... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...is the straight line which joins any two vertices not lying in the same face. 3. Similar polyedrons are such as have all their solid an"gles equal, each to each, and are contained by the same number of similar polygons. 4. A regular polyedron is one whose solid angles are all equal to each other, and... | |
 | Eucleides - 1860 - 396 pages
...similar planes equal in number, magnitude, and inclination to one another. 9. SIMILAR SOLID FIGT/BES are such as have all their solid angles equal, each...contained by the same number of planes similarly situated. 10. A PYBAMID is a solid figure contained by planes that are constituted between one plane figure and... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...in solid», u which the third dimension may be taken in two di lièrent directions. DEFINITIONS. 1. SIMILAR solid figures are such as have all their solid angles equal, each la each, and are contained by the same number of similar planes. 2. A pyramid is a solid figure contained... | |
 | Euclides - 1864 - 448 pages
...and similar solid figures are such as are contained by similar planes equal in number and magnitude. XL Similar solid figures are such as have all their...each to each, and are contained by the same number of similar planes. P XII. A pyramid is a solid figure contained by planes that are constituted betwixt... | |
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Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes. 
