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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 and Trigonometry Translated from the French of A.M ... - Page 41
by Charles Davies - 1849 - 359 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 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 - 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 - 382 pages
...shall have MxQ xRxV=NxP x SxT °r MxRxQxV=NxSxPxf therefore, MxR : NxS : : PxT : QxV. BOOK III. 41 BOOK III. THE CIRCLE, AND THE MEASUREMENT OF ANGLES....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...
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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 and Trigonometry

Geometry - 1843 - 376 pages
...: V then will MxR : NxS : : PxT : For since MxQ=NxP and R x V= S x T, we shall have MxQ xRxV=NxP x SxT or MxRxQxV=NxSxPxf BOOK III. THE CIRCLE, AND THE...from a point within, called the centre. The circle is the space terminated by this curved line.* 2. Every straight line, CA, CE, CD, drawn from the centre...
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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
...equal; (Prop. 10;) consequently the angle AEB=BEC ; hence they are right-angles. (Def. 12.) BOOK II. 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 from a point within, called the centre. The...
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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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