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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. "
Treatise on Conic Sections - Pagina xxiv
di Apollonius (of Perga.) - 1896 - 254 pagine
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The Most General School-assistant: Containing, a Complete System of ...

Gilbert Dyer - 1770 - 240 pagine
...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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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - 228 pagine
...upon their homologous measPART SECOND. SECTION II.— Of the Round Bodies. 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 SA by this...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 pagine
...falling within the larger tube. 155. A solid is generated by the revolution, through a given angle, of a right-angled triangle about one of the sides containing the right angle; determine the moment of a couple which, acting in the plane of symmetry, will support the solid with...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 180 pagine
...centre of 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 the generating triangle revolves...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pagine
...passes through the centre, and is terminated both ways by its surface. 21. A cone is a solid figure described by the revolution of a right-angled triangle about one of the legs, which remains fixed. If the fixed leg be equal to the other leg, the cone is called a right-angled...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pagine
...centre, and 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 line about which the triangle...
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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 pagine
...perpendicular to its 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,...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - 1844 - 130 pagine
...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 is called...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagine
...centre, and 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 containing the right angle,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pagine
...centre, and 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 containing the right angle,...
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