| Anthony Nesbit - Surveying - 1824 - 476 pages
...triangles, meeting in a point, called the vertex of the pyramid. 9. A cone is a solid conceived to be described by the revolution of a right-angled triangle about one of its legs, which remains fixed, and is called the axis of the cone ; or it is a pyramid of an infinite number of sides,... | |
| Peter Nicholson - 1826 - 390 pages
...solid, bounded by plane surfaces, all but one of which meet in one point. A RIGHT CONE is a solid, described by the revolution of a right-angled triangle about one of its legs. The leg, or the une round which the triangle revolves, is called the axis of the cone ; and the base... | |
| John Bonnycastle - Geometry - 1829 - 256 pages
...conic sections are such plain figures as are formed by the cutting of a cone. 2. *A. cone is a solid described by the revolution of a right-angled triangle . about one of its legs, which remains fixed. C 3. The axis of the cone is the right line about which the triangle revolves. * This... | |
| Tobias Ostrander - Measurement - 1833 - 172 pages
...Conic Sections are such plain figures as are formed by the cutting of a cone. 2. A cone is a solid, described by the revolution of a right-angled triangle about one of its legs which remains fixed. 3. The axis of the cone, is the right line about which the triangle revolves. 4. The... | |
| Tobias Ostrander - Measurement - 1834 - 182 pages
...Conic Sections are such plain figures as are formed by the cutting of a cone. 2. A cone is a solid, described by the revolution of a right-angled triangle about one of its legs which remains fixed. 3. The axis of the cone, is the right line about which the triangle revolves. 4. The... | |
| Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...base, If the base be a circle, such cone is a right cone with a circular base ; it can be generated by the revolution of a right-angled triangle about one of its legs, and its rectilinear elements make equal angles with the axis. This is the kind of cone treated of in... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...another. Hence (VI. 2.) AF : FB : : AG : GC : : AM : ML, &c. Schol. 1. Since (XI. def. 21.) a cone is described by the revolution of a right-angled triangle about one of its legs, it is plain that any straight line in the triangle perpendicular to the fixed leg, will describe a... | |
| William Whewell - Calculus - 1838 - 212 pages
...centre, and is terminated both ways by the surface of the sphere. 2. A right cone is a solid figure described by the revolution of a right-angled triangle about one of its sides, which remains fixed. The axis of the cone is the fixed straight line about which the triangle... | |
| Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...base. If the base be a circle, such cone is a right cone with a circular base ; it can be generated by the revolution of a right-angled triangle about one of its legs, and its rectilinear elements make equal angles with the axis. This is the kind of cone treated of in... | |
| J. M. Scribner - Measurement - 1844 - 130 pages
...Right Cone is a solid body of a true taper from- the base to a point which is called the vertex, and is described by the revolution of a right-angled triangle about one of the sides which contains the right angle; as, AB (fig. 2.) The circle described by the revolving side... | |
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