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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 - 1825 - 280 pages
...Circle and the Measure of Angles. DEFINITIONS. ,, . 90. 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*. 91. Every straight line CA, CE, CD (fig. 46),...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...of these polyedrons : we shall have P : p : : A2 : a2. BOOK VII. THE SPHERE. Definitions. 437. The sphere is a solid terminated by a curve surface, all...equally distant from a point within, called the centre. D The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter...
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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 A the centre....
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...of these polyedrons : we shall have P : p : : A2 : a2. BOOK VII. THE SPHERE. Definitions. 437. The sphere is a solid terminated by a curve surface, all...DAE, will have all its points equally distant from its centre C. 438. The radius of a sphere is a straight line drawn from the centre to any point of...
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EncyclopŠdia Americana: A Popular Dictionary of Arts, Sciences ..., Volume 5

Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford, Henry Vethake - Encyclopedias and dictionaries - 1831 - 646 pages
...ratified by his son, Meredyd ap Owen, February 24, 141▀. GLOBE, in geometry ; a round, solid body, which may be conceived to be generated by the revolution of a semicircle about its diameter. (See Splicre.) Globe, or Artificial Globe, in geography and astronomy, is more...
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Encyclopaedia Americana: A Popular Dictionary of Arts, Sciences ..., Volume 5

Francis Lieber, Edward Wigglesworth - Encyclopedias and dictionaries - 1831 - 650 pages
...ratified by his son, Meredyd ap Owen, February 24, 1416. GLOBE, in geometry ; a round, solid body, which may be conceived to be generated by the revolution of a semicircle about its diameter. (See Sphere.) Globe, or Artificial Globe, in geography and astronomy, is more particularly...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...CIRCLE, AND 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 from...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...of a Sphere. 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 and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 386 pages
...THE MEASUREMENT OF ANGLES. Definitions. 1. The circumference of a circle is a curved line, all die points of which are equally distant from a point within, called the centre. The circle is Ihe space terminated by this curved line.* 2. Every straight line, CA, CE, CD, drawn from...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 305 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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