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" 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. "
An Elementary Treatise on Plane and Solid Geometry - Page 131
by Benjamin Peirce - 1871 - 150 pages
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A complete, scientific, and popular treatise upon perspective, with the ...

Complete, scientific and popular treatise - 1836 - 230 pages
...the revolution of a right angled triangle, having for its base a circle. A sphere is a solid, bounded by a curved surface, all the points of which are equally distant from an interior point called a centre. PLATE II. PRACTICAL GEOMETRY. TO DIVIDE A STRAIGHT LINE INTO TWO...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 382 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...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 262 pages
...a cylinder and cone have equal bases and altitudes, the cone will be one-third of the cylinder. 11. A Sphere is a solid terminated by a curved surface...all the points of which are equally distant from a certain point called the centre. 12. The sphere may be described by revolving a semicircle ABD about...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...sides, or diagonals of the polyedrons, we shall have SECTION THIRD. Of the Sphere. DEFINITIONS. 437. A sphere is a solid terminated by a curved surface,...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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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...right cone is the distance between the peripheries of the two ends, measured upon the surface. 10. A Sphere is a solid, terminated by a curved surface,...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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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 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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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 from a point within, called the centre. 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 - Geometry - 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 from a point within, called the centre. 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 - Geometrical drawing - 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 - Arithmetic - 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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