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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. "
Elements of Geometry - Page 157
by Adrien Marie Legendre - 1841 - 235 pages
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...Two cones are also similar, 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 line ;...
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A Natural Philosophy: Embracing the Most Recent Discoveries in the Various ...

George Payn Quackenbos - Physics - 1869 - 462 pages
...21. A Square is a rectangle 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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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...
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The Principles of Logic: For High Schools and Colleges

Aaron Schuyler - Logic - 1869 - 182 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. Sd. A genetic definition is a definition exhibiting the mode of producing the thing. Thus, a sphere...
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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 line ;...
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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...
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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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