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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, After Legendre, with a Selection of Geometrical ... - Page 255
by Charles Scott Venable - 1881

## The Principles of Logic: For High Schools and Colleges

Aaron Schuyler - Logic - 1869 - 180 pages
...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...

## 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 line ;...

## 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...

## 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...

## 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...

## 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,...

## 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...

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1872 - 192 pages
...their homologous sides. CHAPTER XVIII. THE SPHERE. 415. Definition. A sphere is a solid terminated bj a curved surface, all the points of which are equally distant from a point within called the centre, 416. Corollary. The sphere may be conceived to be generated by the revolution of a semicircle, DAE...