| Matthew Iley - 1820 - 512 pages
...figure generated by the revolution of a semicircle about its diameter. A cylinder is the solid figure **generated by the revolution of a rectangle about one of its sides.** 35. A cone is the solid figure generated by the revolution of a right-angled triangle, about either... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...the circumference of either base so as to be always parallel to the axis 166 (4) A right cylinder is **generated by the revolution of a rectangle about one of its sides** . . . 167 (c) A cylinder is greater than any inscribed prism, and less than any circumscribed prism;... | |
| Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...elements at the same distance from the axis, is the kind of cylinder treated of in geometry, and may **be generated by the revolution of a rectangle about one of its sides.** Cylinders are generally named from their inferior bases. If the inferior base be a circle, ellipse,... | |
| Mathematics - 1835 - 684 pages
...the circumference of either base so as to be always parallel to the axis 166 (б) A right cylinder is **generated by the revolution of a rectangle about one of its sides** . . . 167 (c) A cylinder is greater than any inscribed prism, and less than any circumscribed prism;... | |
| Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...elements at the same distance from the axis, is the kind of cylinder treated of in geometry, and may **be generated by the revolution of a rectangle about one of its sides.** Cylinders are generally named from their inferior bases. If the inferior base be a circle, ellipse,... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...triangles ; a square prism when its ends are square, &c. Fig. 3. Kg. 4. 4. A cylinder is a solid described **by the revolution of a rectangle about one of its sides, as an axis,** which remains fixed ; as ABC D. 5. A cone is a solid described by the revolution of a right-angled... | |
| 1851 - 716 pages
...oblique (fig. 71), as this axis is perpendicular or oblique to the base. A right cylinder will manifestly **be generated by the revolution of a rectangle about one of its sides.** On the convex surface of the cylinder, innumerable straight lines may be drawn, parallel to each other... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...oblique (fig.1\), as this axis is perpendicular or oblique to the base. A right cylinder will manifestly **be generated by the revolution of a rectangle about one of its sides.** On the convex surface of the cylinder, innumerable straight lines may be drawn, parallel to each other... | |
| Euclides - Geometry - 1853 - 334 pages
...generating triangle including the right angle, which revolves. XXI. A cylinder is the solid figure **generated by the revolution of a rectangle about one of its sides,** which remains fixed. XXII. The axis of a cylinder is the fixed straight line about which the generating... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...hypothenuse : the base of the cone is a circle. DBF. A Right cylinder is a solid which may be supposed **to be generated by the revolution of a rectangle about one of its sides as an axis,** the opposite side of the rectangle describing the cylindrical surface : the extremities of the cylinder... | |
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