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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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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...of the polyedrons. we shall have . P :p : : A* : a*. SECTION THIRD. Of the Sphere. DEFTNITIONS. 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 I LIE (Jig. 220) about...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...THE 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 - 224 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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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 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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Elements of Geometry

Adrien Marie Legendre - 1825 - 574 pages
...the Circle and the Measure of Angles. DEFINITIONS. ^0. 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*. 46. 91. Every straight line CA, CE, CD (fig....
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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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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...properties very nearly the same as those which we have established in the present book. (230) DBF. — A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within it, called its centre. A sphere may be conceived to be produced by the revolution...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 pages
...p : : A2 : a2. BOOK VII. THE SPHERE. Definitions. 437. 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. 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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...are in the convex surface of the cone, and the pyramid is said to be inscribed in the cone. 8. The 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 about its diameter...
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