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" A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. "
Rifles and Rifle Practice: An Elementary Treatise Upon the Theory of Rifle ... - Page 33
by Cadmus Marcellus Wilcox - 1859 - 276 pages
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The Most General School-assistant: Containing, a Complete System of ...

Gilbert Dyer - Arithmetic - 1770 - 240 pages
...Pyramid, be fuppofcd Infini'e, it will then be called a Cane : Or, 2I1 . A CONE may be defined to be a Solid, generated by the Revolution of a right-angled Triangle, about one of the Sides which contains the Right Angle. 212. A SPHERE is a Solid made by the Rotation of a Semi Circle about...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 pages
...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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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...the elementary treatises, are the right cone, the right cylinder and the sphere. The right cone is generated by the revolution of a right-angled triangle about one of the sides containing the right-angle, as the triangle SCA (Jig. 140) about the Fig.140. side SC. The hypothenuse...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...cone must 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 ;...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...the sphere, and terminated at each extremity by the surface. 12. A right cone is a solid described by the revolution of a right-angled triangle about one of the sides containing the right angle, which remains fixed. The axis of the cone is the fixed line about which...
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The Doctrine of Limits with Its Applications: Namely, Conic Sections, the ...

William Whewell - Calculus - 1838 - 212 pages
...+ lx -- = 0. 4 (5) 4J/ 2 - 8xy + x 2 + 4y + 2x - 2 = 0. (6) y 2 - 2a?y + a? 2 - 8a ? + 16 = 0. 39- A cone is a solid generated by the revolution of a right-angled triangle about one of its sides. The angle contained between the fixed side and the hypothenuse of the triangle is the vertical...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...is terminated both ways by the superficies of the sphere. XVIII. A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. XIX. « The ajris of a cone is the fixed straight...
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...base, it is called a right cone. Other cones are said to be oblique. A right cone may be described by the revolution of a right-angled triangle about one of the sides of the right angle. It is proved that if a cone and a cylinder have the same base and the same altitude, the cone is equal...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...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 is called...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...is terminated both ways by the superficies of the sphere. XVIII. A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side...
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