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" 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. "
Elements of Geometry: Plane and Solid - Page 300
by John Macnie - 1895 - 374 pages
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...when the diameters of heir bases are proportional to their altitudes25 A sphere is a solid terminated by a curved surface, all the points of which are equally distant from a certain point within called the centre26 The sphere may be described by revolving a semicircle, ABD,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...CIRCLE, AND THE MEASURE 0F ANGLES. DEFINITIONS. 152. 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; as the figure ADB E. 153. The CIRCUMFERENCE or PERIPHERY of a circle is its entire bounding...
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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - Arithmetic - 1868 - 428 pages
...they meet is called the vertex. A Circle is a plane figure bounded by a curved line, all the parts of -which are equally distant from a point within called the center (493). A circumference is the curve line which bounds a circle, and always 'contains 360 deg. An arc...
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The Principles of Logic: For High Schools and Colleges

Aaron Schuyler - Logic - 1859 - 180 pages
...uniformly curved surface. 2d. A real definition is a definition of a thing. Thus, a sphere is a volume bounded by a curved surface all the points of which are equally distant from a point within. 3d. A genetic definition is a definition exhibiting the mode of producing the thing. Thus, a sphere...
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 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 line drawn...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...CIRCLE, AND 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...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...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 is a Semicircumferenee...
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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...
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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...
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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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