| 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... | |
| 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 ;... | |
| 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... | |
| 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... | |
| 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 - 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,... | |
| 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... | |
| 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... | |
| William Chauvenet - Mathematics - 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... | |
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