| 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... | |
| 1871 - 788 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,... | |
| 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... | |
| Henry Beadman Bryant, Emerson Elbridge White, C. G. 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... | |
| Joseph Woolley - Naval art and science - 1872 - 572 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... | |
| William Chauvenet - Geometry - 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... | |
| 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... | |
| 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... | |
| Daniel W. Fish - Arithmetic - 1874 - 300 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,... | |
| Daniel W. Fish - Arithmetic - 1874 - 298 pages
...end 5 feet and at the other 3 feet? 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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