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" A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis. "
The Essentials of Geometry - Page 325
by Webster Wells - 1899 - 395 pages
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...base. The axis of an oblique cone is greater than its altitude. 15. A cone of revolution is a cone generated by the revolution of a right triangle about one of its perpendicular sides as an axis. 16. The side about which the triangle revolves is called the aids of...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...its base. The axis of a right cone is equal to its altitude. 643. DEF. A Cone of Revolution is a cone generated by the revolution of a right triangle about one of its perpendicular sides as an axis. The side about which the triangle revolves is the axis of the cone...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1881 - 332 pages
...triangle AOB, which revolves about the leg OB. Definition.—A right circular CONE is the solid produced by the revolution of a right triangle about one of its legs. NOTE. — In future, by the word ° cone ° a right circular cone will be meant. A cone is bounded...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Right Cone > is one in which the axis is perpendicular to the base. We may conceive a right cone to be generated by the revolution of a right triangle about one of its perpendicular sides. 12. The Slant Height of a right cone is any position of the generatrix—the hypotenuse...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...vertex to the centre of the base. 313 610. A right circular cone is called a cone of revolution, for it may be generated by the revolution of a right triangle about one of its perpendicular sides as i an axis. Similar cones of revolution are those generated by the revolution...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 466 pages
...cone is a cone whose axis is perpendicular to its base, and is called a cone of revolution, because it may be generated by the revolution of a right triangle about one of its legs as an axis. The hypotenuse in any position is an element of the surface, and is called the slant height of the...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...the centre of the base. THE CONE. 567. A right circular cone is called a cone of revolution, for it may be generated by the revolution of a right triangle about one of its legs as an axis. 568. Similar cones of revolution are cones generated by the revolution of similar right triangles about...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 394 pages
...perpendicular to its base. 567. A right circular cone is called a cone of revolution, for it may bo generated by the revolution of a right triangle about one of its legs as an axis. 568. Similar cones of revolution are cones generated by the revolution of similar right triangles about...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...axis perpendicular to the base ; it is also called a cone of revolution, because it may be regarded as generated by the revolution of a right triangle about one of its arms as an axis. PROPOSITION III. THEOREM. 580. Every section of a cone made by a plane passing through...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...circular cone is a circular cone whose axis is perpendicular to its base. PROPOSITION VII. THEOREM 793. A right circular cone may be generated by the revolution of a right triangle about one of its sides as an axis. The proof is left to the student. 7.94. Def. — From its mode of generation a right...
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