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" THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre. "
Elements of Geometry: With, Practical Applications - Page 231
by George Roberts Perkins - 1850 - 320 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...the Circle and the Measure of Angles. DEFINITIONS. 87. THE circumference of a circle is a curved line all the points of which are equally distant from a point within called the centre. The circle is the space terminated by this curved line.* Fig 4t,. 88. Every straight line CA, CE, CD (fig....
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 314 pages
...base. 8. A sphere is a solid, bounded by one continued conveX surface, every point of which is equally distant from a point within, called the centre. The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fiXed. A hemisphere is half...
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Burnham's Arithmetic, Revised: A New System of Arithmetic, on an Improved ...

Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...base. 8. A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre. The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed. A hemisphere is half...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1841 - 186 pages
...all the points of which are equally distant from a point within called the centre. 416. Corollary. The sphere may be conceived to be generated by the revolution of a semicircle, DAE (fig. 177) about its diameter DE. 417. Definitions. The radius of a sphere is a straight line drawn...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 123 pages
...peripheries of the two ends, measured upon the surface. 10. A Sphere is a solid, terminated by a curved surface, all the points of •which are equally distant from a point •within, called the centre. A sphere may be described by the revolution of a semi-circle about a diameter. 11. A radius of a sphere...
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Lessons in Geography and Astronomy on the Globes: Supplementary to the ...

A. Fleming - Astonomy - 1844 - 120 pages
...4. A Sphere is a solid figure, whose circumscribing surface, throughout its whole extent, is equally distant from a point within, called the centre. The sphere may be conceived as generated by the revolution of a circle round one of its diameters as the axis of revolution. Are...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...Hyperbola and its Properties, - - - - - -215 SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1 . THE sphere is a solid terminated by a curve surface, all...DAE, will have all its points equally distant from its centre C. 2. The radius of a sphere is a straight line, drawn from the centre to any point of the...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...197 The Hyperbola and its Properties, 215 SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all...DAE, will have all its points equally distant from its centre C. 2. The radius of a sphere is a straight line, drawn from the centre to any point of the...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...Hyperbola, and fts Propertiss, ...... 315 SPHERICAL. GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all...equally distant from a point within, called the centre. G The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...Hyperbola and its Properties, - - - - - -215 SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all...equally distant from a point within, called the centre. G The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter...
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