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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 - Page 151
by Adrien Marie Legendre - 1819 - 208 pages
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all the points of which are equally distant...to be generated by the revolution of a semicircle DAE about its diameter DE; for the surface described in this movement, by the curve DAE, will have...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 506 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1 . THE sphere is a solid terminated by a curve surface, all the points of which are equally distant...to be generated by the revolution of a semicircle DAE about its diameter DE; for the surface described in this movement, by the curve DAE, will have...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845 - 542 pages
...SPHERICAL. GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. 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. 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 - 1845 - 244 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. 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. G The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 254 pages
...contain, there being 231 cubic inches in a gallon ? Ans. 79.0613. OF THE SPHERE. 43. What is a sphere ? A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within called the centre. 44. How may a sphere be described ? The sphere may be described...
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 362 pages
...diameter by 3.14159. (Leg. 11. 5. Sch.) Note. — The circumference of a circle is a curve line, al1 the points of which are equally distant from a point within, called the centre. The diameter of a circle is a straight line which passes through the centre, and is terminated on both...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1847 - 204 pages
...same ratio, or as the cubes of their homologous sides. CHAPTER XVIII. THE SPHERE. 415. Definition. A sphere is a solid terminated by a curved surface,...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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 pages
...their lines of contact. 7. A sphere is a solid terminated by a curve surface, all the points of wliich are equally distant from a point within, called the...to be generated by the revolution of a semicircle DAE about its diameter DE;: for the surface described in this movement, by the curve DAE, witl have...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - 1847 - 368 pages
...diameter is 7 ? Ans. 4. How many square yards in a circle whose diameter is 3J feet? Ans. 1.069016 +. 287. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within called the centre. The line AD passing through its centre C is called the diameter...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - 1847 - 368 pages
...is 7 ? Ans. 4. How many square yards in a circle whose diameter is 3£ feet? Ans. 1.069016+ . 287. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within called the centre. The line AD passing through its centre C is called the diameter...
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