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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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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...BOOK II. THE CIRCLE. DEFINITIONS. 216. A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre. The bounding line is called the circumference of the circle. 217. A radius is a straight line from the...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...THE SPHERE. PLANE SECTIONS AND TANGENT PLANES. 737. DEF. A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre. 738. A sphere may be generated by the revolution of a semicircle ACB about its diameter AB as an axis....
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 196 pages
...line tangent to the base. THE SPHERE. DEFINITIONS. 561. A sphere is a solid bounded by a surface, all points of which are equally distant from a point within called the centre. A radius of a sphere is a straight line drawn from the centre to the surface. A diameter is a straight...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...THE SPHERE. PLANE SECTIONS AND TANGENT PLANES. 737. DBF. A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre. 738. A sphere may be generated by the revolution of a semicircle ACB about its diameter AB as an axis....
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...line tangent to the bum'. THE SPHERE. DEFINITIONS. 561. A sphere is a solid bounded by a surface, all points of which are equally distant from a point within called the centre. A radius of a sphere is a straight line drawn from the centre to the surface. A diameter is a straight...
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Observational Geometry

William Taylor Campbell - Geometry - 1899 - 268 pages
...AND LINES The circle is the face itself, and is defined as a face bounded by a curved line all parts of which are equally distant from a point within called the centre. The word "circle" is sometimes applied to the curve which bounds it, just as the word " ring " may refer...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...BOOK III. THE CIRCLE AND THE MEASURE OF ANGLES. DEFINITIONS. 1. A 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. 2. The CIRCUMFERENCE of acircle is the line which bounds the circle. A Semi-circumference is one-half...
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Elements of Plane Geometry

Alan Sanders - Geometry, Plane - 1901 - 260 pages
...to BC. AF bisects angle DAE. BOOK II 247. DEFINITIONS. A circle is a portion of a plane bounded by a curved line, all the points of which are equally distant from a point within called the center. The bounding line is called the circumference. A straight line from the center to any point...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...volume of the solid formed. BOOK VIII THE SPHERE 671. DBF. A sphere is a solid bounded by a surface, all the points of which are equally distant from a point within called the center. 672. DEF. The radius of a sphere is a straight line drawn from the center to any point...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 pages
...the altitude of the frustum. BOOK VHI THE SPHERE 671. DEF. A sphere is a solid bounded by a surface, all the points of which are equally distant from a point within called the center. 672. DEF. The radius of a sphere is a straight line drawn from the center to any point...
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