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" A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre. "
Elements of Plane and Solid Geometry - Page 347
by George Albert Wentworth - 1877 - 398 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...THIRD. Of the Sphere. DEFTNITIONS. 437. 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. The sphere may be conceived to be generated by the revolution of a semicircle I LIE (Jig. 220) about...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...MEASUREMENT OF ITS ANGLES. Definitions. \ • I. The circumference of a circle is a curve line, all the points of which are equally distant from a point within, called the centre. The circle is the space terminated by this curve line. Note. In common language, the circle is sometimes...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...P:p::A3:a3. Of the Sphere. • DEFINITIONS. 437. 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. The sphere may be conceived to be generated by the revolution of a semicircle DAE (fig. 220) about...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...THIRD. • Of the Sphere. DEFINITIONS. 437. 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. The sphere may be conceived to be generated by the revolution of a semicircle DAE (fig. 220) about...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...described by the point B the circumference of a circle, which we define to be — a curved line fill the points of which are equally distant from a point within called the centre — . The whole space enclosed is called a circle, the moving line AB a radius, and the fixed point...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...THE MEASUREMENT OF ANGLES. Definitions. 1. 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.* 2. Every straight line, CA, CE, CD, drawn...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...CHAPTER XVIII. THE SPHERE. 415. Definition. 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. 41G. Corollary. The sphere may be conceived to be generated l,y the revolution of a semicircle, DAE...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...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...
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The Elements of Plane and Spherical Trigonometry: And Its Application to ...

Richard Abbatt - Spherical astronomy - 1841 - 191 pages
...(68.) Def. A sphere is a solid bounded on all sides by a curve surface, every point of which is equally distant from a point within, called the centre. A sphere may be conceived to be generated by a semicircle's revolving about its diameter, which remains fixed. ways...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 123 pages
...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 is a line drawn...
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