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" The radius of a sphere is a straight line, drawn from the centre to any point of the surface ; the diameter, or axis, is a line passing through this centre, and terminated on both sides by the surface. "
Elements of Geometry and Trigonometry: With Notes - Page 176
by Adrien Marie Legendre - 1830 - 316 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...Fig. for the surface thus described by the curve DAE will have all its points equally distant from the centre C. 438. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre and terminated each...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...220. for the surface thus described by the curve DAE will have all its points equally distant from the centre C. 438. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre and terminated each...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...220. for the surface thus described by the curve DAE will have all its points equally distant from the centre C. 438. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre and terminated each...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...sphere ; any circular sector, as DCF or'FCII, describes- a solid, which is named a spherical sector. 10. The radius of a sphere is a straight line drawn from...the radii of a sphere are equal ; all the diameters are equal, and each double of the radius. . > 11. It will be shown (Prop. VII.) that every section...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 159 pages
...generated l,y the revolution of a semicircle, DAE (fig. 177) about its diameter DE. 417. Definitions. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre, and terminated...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...220. for the surface thus described by the curve DAE will have all its points equally distant from the centre C. 438. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre, and terminated...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...in this movement, by the curve DAE, will have all its points equally distant from the centre C. 9. The radius of a sphere is a straight line drawn from the centre to any point in the surface ; as CA, CF. The diameter, or axis, is a line passing through this centre, and terminated...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...in this movement, by the curve 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 radii of a sphere are equal ; all the diameters are equal, and each double of the radius. 3. It will be shown (Prop. I.) that every section of the...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...in this movement, by the curve 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 radii of a sphere are equal ; all the diameters are equal, and each double of the radius. 3. It will be shown (Prop. I.) that every section of the...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...sphere; any circular Kctor, as DCF or FCH, describes a solid, which is named a spherical sector. 10. The radius of a sphere is a straight line drawn from...centre to any point of the surface ; the diameter or nxis is a be passing through the centre, and terminated on both sides by the surface. All the radii...
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