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" A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre. "
Elements of Plane and Solid Geometry - Page 347
by George Albert Wentworth - 1877 - 398 pages
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A Natural Philosophy: Embracing the Most Recent Discoveries in the Various ...

George Payn Quackenbos - Physics - 1869 - 462 pages
...whose sides are equal; as, IJKL, Fig. 23. 22. A Sphere is a solid bounded by a curved surface, all the points of which are equally distant from a point within called the centre; as, ABCD, Fig. 24. " 23. The Axis of a sphere is a straight line passing through its centre and terminating...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...THE MEASURE 0F ANGLES. DEFINITI0NS. 152. A CIBCLE is a plane figare 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. 153. The CIRCUMFERENCE or PERIPHERY of a circle is its entire bounding line ;...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...other the Perpendicular or Altitude. 156. 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 center. The curved line which bounds a circle is its Circumference. One-half of a circumference...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...aplar* 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...may be generated by the revolution of a semicircle ABC about its diameter A Cos an axis ; for the surface generated by the curve ABC will have all its...
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The Southern Review, Volume 9; Volume 12; Volume 15

1871 - 800 pages
...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 - Mathematics - 1872 - 382 pages
...• 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...may be generated by the revolution of a semicircle ABC about its diameter AC as an axis; for the surface generated by the curve ABC will have all its...
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A Mathematical Geography: With a Supplement Containing an Outline of ...

Edward Payson Jackson - Astronomical geography - 1872 - 154 pages
...whole extent ; as the lines of words upon this page, the covers of a closed book, etc. FIG. 2. 22. A Sphere is a solid bounded by a surface, all points...which are equally distant from a point within, called the center. 23. The Circumference of a Sphere is the greatest circle that may be drawn upon its surface....
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...elements of cotUact. 12. A SPHERE is a volume bounded by a surface, every point of which is equally distant from a point within called the centre. A sphere may be generated by a semicircle revolving about its diameter as an axis. 13. A RADIUS of a sphere is a straight line drawn...
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Mensuration of lines, surfaces, and volumes

David Munn - 1873 - 160 pages
...spherical 2one is equal to the product of its altitude by the circumference of the sphere. Def.—A sphere is a solid bounded by a surface, all points of which are equally distant from a point within it, called the centre. A sphere may be generated by the revolution of a semicircle about its diameter...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...as the radii, or diameters, of their bases. 328. A Sphere is a solid, or volume, bounded by a curved surface, all points of which are equally distant from a point within, called the center. The sphere may be conceived to be formed by the revolution of a semicircle, DAE, about...
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