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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. "
An Elementary Treatise on Plane and Solid Geometry - Page 24
by Benjamin Peirce - 1837 - 150 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...pyramid is said to be inscribed in the cone. 8. The 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 about its diameter DE...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 384 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 - 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 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 - 235 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 - 237 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 - 123 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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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 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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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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