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" 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. "
Elements of Descriptive Geometry: With Their Application to Spherical ... - Page 41
by Charles Davies - 1840 - 174 pages
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 pages
...15. 9. A Cone is a folid, one end of which is a circle and the other a point ; it may be conceived to be generated by the revolution of a right-angled triangle about one of the fides which contains the right arrgle ; and • " the the quiefcent fide of the revolving triangle...
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The Cyclopędia, Or, Universal Dictionary of Arts, Sciences, and ..., Volume 34

Abraham Rees - Art - 1819 - 754 pages
...reprefented by FGD E. PROB. XIII. To find the covering of the curved fuperficies of a cone, fuch as may be generated by the revolution of a right-angled triangle about one of its perpendicular legs. With a radius equal to the flant fide of the cone dcfcribe an arc. Make the length...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...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...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson

Peter Nicholson - 1826 - 390 pages
...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...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...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....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...be cut by a plane, in order that the section may be one of these curves. A right cone is the solid generated by the revolution of a right-angled triangle about one of its perpendicular sides. The fixed side, OH, about which the triangle revolves, is called theaxis ; and...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...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....
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...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....
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...its inferior base, is called a right cylinder ; and if this base be a circle, a right cylinder with a circular base. Such a cylinder has all its rectilinear...a cone with a circular, elliptical, parabolic, or hyperbolic 'base, according as its inferior base is a circle, ellipse, parabola, or hyperbola. . §...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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...
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