| Rev. John Allen - Astronomy - 1822 - 516 pages
...perpendicular to the base. 30. An oblique cylinder, is one, whose axis is not perpendicular to the base. 31. A tetrahedron, is a solid figure, contained by four equal and equilateral triangles. 32. A cube or hexahedron, is a solid figure contained by six equal squares. 3$. An octahedron, is a... | |
| Rev. John Allen - Astronomy - 1822 - 508 pages
...triangles. 34. A dodecahedron, is a solid figure, contained by twelve regular pertagons. s •'. ATI octahedron, is a solid figure, contained by eight equal and equilateral triangles. 35. An icosihedron, is a solid figure, contained by twenty equal and equilateral triangles. POSTULATE.... | |
| George Crabb - Industrial arts - 1823 - 704 pages
...of the parallelogram. — A cube is a solid figure contained by six equal squares, as fig. 49. — A tetrahedron is a solid figure contained by four equal and equilateral triangles, as fig. 50. — Octahedron, a solid figure contained by eight equal and equilateral triangles, as fig.... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...cylinder are the circles described by the two revolving opposite sides of the parallelogram. XXIV. Similar cones and cylinders are those which have their...six equal squares. XXVI. A tetrahedron is a solid f1gure contained by four equal and equilateral triangles. XXVII. An octahedron is a solid figure contained... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...the circles described by the two revolving opposite sides of the parallelogram. XVII. Similar conns and cylinders are those which have their axes, and the diameters of their biises proportionals. PROP. I. THEOR. If two solids be contained by the same number of equal and similar... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...ends, of a cylinder are the circles described by the two revolving opposite sides of the rectangle. 27. Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals. PROP. I. THEOR. ONE part of a straight line cannot be in a plane, and another part above it. If it... | |
| Euclid - Geometry - 1838 - 470 pages
...cylinder are the circles described by the two revolving opposite sides of the parallelogram. XXIV. Similar cones and cylinders are those which have their...contained by eight equal and equilateral triangles. XXVffl. A dodecahedron is a solid figure contained by twelve equal pentagons which are equilateral... | |
| Euclides - Geometry - 1841 - 378 pages
...cylinder are the circles described by the two revolving opposite sides of the parallelogram. XXIV. Similar cones and cylinders are those which have their...contained by eight equal and equilateral triangles. U XXVIII. A dodecahedron is a solid figure contained by twelve equal pentagons which are equilateral... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...a cylinder are the circles described by the two revolving; opposite sides of the parallelogram. 17. Similar cones and cylinders are those which have their...axes, and the diameters of their bases proportionals. PROP. I. THEOR. If two solids be contained by the same number of 'equal and similar planes sin.ilarly... | |
| Euclides - 1842 - 316 pages
...situated between the base CD and a section cd parallel to the base. IX. Similar cylinders and cones are those which have their axes and the diameters of their bases proportional; that is, which are described by similar rectangles, or similar rightangled triangles.... | |
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