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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. "
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... - Side 17
av A. Bell - 1837 - 164 sider
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Conic Sections Treated Geometrically

S. Holker Haslam, Joseph Edwards - 1881 - 168 sider
...should be remembered. 81 CHAPTER VII. THE RIGHT CIRCULAR CONE. Def. — ' A cone is a solid figure described by the revolution of a right-angled triangle...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 Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - 1881 - 602 sider
...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 - 488 sider
...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 geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...from the centre to the superficies of a sphere is called its radius XVIII. A cone is a solid figure described by the revolution of a rightangled 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 sider
...centre, and is terminated both ways by the superficies of the sphere. 18. A cone is a solid figure described by the revolution of a right-angled triangle...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: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 170 sider
...pyramid is one 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...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 sider
...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 ...

Euclid, John Casey - 1885 - 340 sider
...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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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 sider
...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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...centre, and is terminated both ways by the superficies of the sphere. 18. A < cone ' is a solid figure described by the revolution of a right-angled triangle...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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