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" 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. "
Elements of Geometry: With, Practical Applications - Page 231
by George Roberts Perkins - 1850 - 320 pages
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1870 - 200 pages
...AND THE MEASURE OF ANGLES. 85. Definitions. The circumference of a circle is a curved Zme, all tlie points of which are equally distant from a point within, called the centre. The circle is the apace terminated by this curved line. Diameter, Inscribed Lines. line, as AB, ./2C, JID...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...cone, to pass a plan tangent to the cone. THE SPHERE. 25. Definition. A sphere is a solid bounded by a surface all the points of which are equally distant from a point within called the centre. A sphere may be generated by the revolution of a semicircle ABC about its diameter A Cas an axis; for...
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The Southern Review, Volume 9; Volume 12; Volume 15

1871 - 800 pages
...arc of a circle answers to our author's definition of a circumference. For an arc ' is a curve line, all the points of which are equally distant from a point within, called the centre.' This definition is, however, not new. If Professor Smith will consult Montucla's History of Mathematics,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...the figure. BOOK II. THE CIRCLE. 1. DEFINITIONS. A circle is a portion of a plane bounded by a curve, all the points of which are equally distant from a point within it called the centre. The curve which bounds the circle is called its circumference: Any straight line...
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The Bryant and Stratton Business Arithmetic: A New Work, with Practical ...

Henry Beadman Bryant, Emerson Elbridge White, Corydon Giles Stowell - Business mathematics - 1872 - 576 pages
...each side of whose base is 10 ft. ? 70.1. Spheres. — 1. A »¡¡here is a solid bounded by a curved surface, all the points of which are equally distant from a point within called the center. 2. The diameter or axis of a sphere is a line passing through the center, and terminated...
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Naval Science: A Quarterly Magazine for Promoting the Improvement ..., Volume 1

Sir Edward James Reed, Joseph Woolley - Naval art and science - 1872 - 570 pages
...fixed point ; this fixed point is called the centre ; the constant distance is called the radius. A sphere may be conceived to be generated by the revolution of a, semicircle about its diameter, which remains fixed throughout the motion. Every section of a sphere by a plane...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...the figure. BOOK II. THE CIRCLE. 1. DEFINITIONS. A circle is a portion of a plane bounded by a curve, all the points of which are equally distant from a point within it called the centre. The curve which bounds the circle is called its circumference. Any straight line...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...CIRCLE, AND THE MEASURE OF ANGLES. DEFINITIONS. 119. 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 center ; as the figure ADB E. 120. The Circumference or periphery of a circle is its entire bounding...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...12.64 feet ? Ans. 553.63-)- sq. ft. CIRCLES. 418. 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 center. The CIRCUMFERENCE is the bounding line ; as the line AEB D. The DIAMETER is any straight...
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1874 - 302 pages
...that of the less 12 inches ? • THE SPHERE. 929. A Sphere is a body bounded by a uniformly curved surface, all the points of which are equally distant from a point within called the center. 930. The Diameter of a sphere is a straight line passing through the center of the sphere,...
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