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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. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 107
door Eucleides - 1860
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 pagina’s
...rectangle revolves. The opposite side of the rectangle describes the convex surface. 3. A cone is a solid described by the revolution of a right-angled triangle...containing the right angle, which side remains fixed. The base of the cone is the circle described by that side containing the right angle, which revolves....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...which passes through the centre, and is terminated both ways by the superficies of the sphere. XVIII. A Cone is a solid figure, described by the revolution...angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right'angled cone ; if...
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The Geometry of Conics

Charles Taylor - 1873 - 156 pagina’s
...three solutions are possible. GHAPTEE X. THE KIGHT CIRCULAR CONE. 264. EUCLID defines a " Cone" as a solid figure described by the revolution of a right-angled...containing the right angle, which side remains fixed. The fixed side is called the Axis and the fixed angular point the Vertex of the Cone. It is evident...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pagina’s
...which passes through the centre, and is terminated both ways by the superficies of the sphere. 18. A cone is a solid figure described by the revolution...angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if...
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The Logic of Reason, Universal and Eternal

Laurens Perseus Hickok - 1875 - 200 pagina’s
...line about its terminal point, a sphere by the revolution of a circle upon its diameter, or a cone by the revolution of a right-angled triangle about one of the sides containing the right-angle. All similar figures, as circles, spheres, cones, squares, &c., are each to each relatively...
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The Elements of Euclid, with Many Additional Propositions and Explanatory ...

Euclid - 1876 - 240 pagina’s
...OF A SPHERE is the fixed straight line (AC) about which the semicircle revolves. 14. The CENTER or A SPHERE is the same with that of the generating semicircle....greater (as GH and HI) acute-angled, 17. The AXIS OF A CONE is the fixed straight line about which the triangle revolves. 18. The BASE OF A CONE is the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pagina’s
...which passes through the center, and is terminated both ways by the superficies of the sphere. XVIII. A cone is a solid figure described by the revolution...angle, which side remains fixed. If the fixed side be equal to the other side containing the right ongle, the cone is called a right-angled cone; if it...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pagina’s
...the revolution of a semicircle about its diameter, which remains unmoved" (Euc. XI., Def. 14). (5.) " A cone is a solid figure described by the revolution...of a right-angled triangle about one of the sides containfng the right angle, which side remains fixed. If the fixed side be equal to the other side...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 pagina’s
...This side is the axis of the cylinder; the circular ends are the bases. 8. A cone is a solid formed by the revolution of a right-angled triangle about one of the sides adjacent the right angle. 9. This side is the axis of the cone; the base is the circle formed by the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...which passes through the centre, and is terminated both ways by the superficies of the sphere. 18. A cone is a solid figure described by the revolution...angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if...
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