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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. "
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 300
de Isaac Todhunter - 1862 - 326 páginas
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Practical plane geometry and projection. [2 issues].

Henry Angel - 1880 - 360 páginas
...indicated in these problems, only one-half of the above surface is meant, such as would be generated by the revolution of a right-angled triangle, about one of the sides containing the right angle ; but as will be seen in future problems, it is better to consider the surface as generated by the...
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Conic Sections Treated Geometrically

S. Holker Haslam, Joseph Edwards - 1881 - 168 páginas
...Rectum)2 Results (a), (0), (7), should be remembered. 81 CHAPTER VII. THE RIGHT CIRCULAR CONE. Def. — ' A cone is a solid figure described by the revolution...one of the sides containing the right angle, which side remains fixed.' [Euc. XI. Def. 18.] 151. Let VHP be the right-angled triangle, VH the side which...
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Conic Sections Treated Geometrically

S. Holker Haslam, Joseph Edwards - 1881 - 168 páginas
...Results (o), (0), (7), should be remembered. (7) 81 CHAPTER VII. THE RIGHT CIRCULAR CONE. Def. — ' A cone is a solid figure described by the revolution...one of the sides containing the right angle, which side remains fixed.' [Euc. XI. Def. 18.] 151. Let VHP be the right-angled triangle, VH the side which...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 páginas
...The straight line drawn from the centre to the superficies of a sphere is called its radius XVIII. A cone is a solid figure described by the revolution...triangle about one of the sides containing the right angie, that side remaining fixed. If the fixed side be equal to the other side containing the right...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - 1881 - 602 páginas
...the vertex. The (right) cone as defined by EDCLID (Book XI. def. 18) is the finite figure (p. 193) described by the revolution of a right-angled triangle...about one of the sides containing the right angle. f The cone and its axis are thus defined by APOI.LONIUS at the beginning of his Tlipl KuiirtKiau (p....
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - 1881 - 486 páginas
...of the vertex. The (right) cone as defined by EOCMD (Book XI. def. 18) is the finite figure (p. 193) described by the revolution of a right-angled triangle...about one of the sides containing the right angle. t The cone and its axis are thus defined by Aroi.LONius at the beginning of his TTtpl Kcofinwi/ (p....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 páginas
...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...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, the cone...
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The Eclectic School Geometry

Evan Wilhelm Evans - 1884 - 242 páginas
...whose base is a regular polygon, and the triangular faces are equal and isosceles. 3. A cone is a solid described by the revolution of a right-angled triangle...one of the sides containing the right angle, which side remains fixed. The fixed side is called the axis of the cone. The hypotenuse describes the convex...
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A Short History of Greek Mathematics

James Gow - 1884 - 350 páginas
...excellent mathematician of the first century BC, the following remarks1: "The ancients, defining a cone as the revolution of a rightangled triangle about one of the sides containing the right angle, naturally supposed also that all cones are right and there is only one kind of section in each —...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 páginas
...called its axis. The circles which terminate a cylinder are called its bases or ends. x. A cone is the solid figure described by the revolution of a right-angled triangle about one of the legs, which remains fixed, and which is called the axis. The other leg describes the base, which is...
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