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" CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E. "
Elements of Geometry...: Translated from the French for the Use of the ... - Page 16
by Adrien Marie Legendre, John Farrar - 1825 - 224 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 376 pages
...THE CIRCLE, AND THE MEASUREMENT OF 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 (.he space terminated by A. this curved line.* 2. Every straight line, CA, CE, CD, drawn from the centre...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...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 - 372 pages
...MxR : NxS : : PxT : QxV. J •• BOOK III. THE CIRCLE, AND THE MEASUREMENT OF ANGLES Definitions 1. The circumference of a circle is a curved line, all...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 the centre...
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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 from the centre...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1839 - 372 pages
...therefore, MxR : NxS : : PxT : QxV. BOOK III. THE CIRCLE, AND THE MEASUREMENT OF ANGLES. Definitions, L The circumference of a circle is a curved line, all the points of which are «qually distant from a point within, called the centre*. The circle is the space terminated by this...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...SECTION 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 its...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 pages
...THE CIRCLE, AND THE MEASUREMENT OF ANGLES. DEFINITIONS. 1. The circumference of a circle is a curve line, all the points of which are equally distant...centre. The circle is the space terminated by this curve line. Note. Care should be taken not to confound the circle with its circumference. The pupil...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...of the 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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...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 DE;...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...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 DE;...
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