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 16by Adrien Marie Legendre - 1825 - 224 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...SECTION THIRD. Of the Sphere. DEFTNITIONS. 437. A sphere is a solid terminated by a curved surface **all the points of which are equally distant from a point within called the centre. The** sphere may be conceived to be generated by the revolution of a semicircle I LIE (Jig. 220) about its... | |
| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...a3. BOOK VII. THE SPHERE. Definitions. I. The sphere is a solid terminated by a curve surface, a1' **the points of which are equally distant from a point within, called the centre.** D The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter... | |
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...ABCD is a parallelogram. THEOREM. 88. The 'two diagonals AC, DB (fig. 45), of a parallelogram Fig. 43. **mutually bisect each other. Demonstration. If we compare...circle is the space terminated by this curved line*.** 91. Every straight line CA, CE, CD (fig. 46), &c. drawn from the centre to the circumference is called... | |
| Adrien Marie Legendre - 1825 - 224 pages
...mutually at right unglos. i SECTION SECOND. Of the Circle and the Measure of Angles. DEFINITIONS. ^0. **THE circumference of a circle is a curved line all...circle is the space terminated by this curved line*.** 46. 91. Every straight line CA, CE, CD (fig. 46), &c. drawn from the centre to the circumference is... | |
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...SECTION THIRD. Of the Sphere. DEFINITIONS. ' 437. A sphere is a solid terminated by a curved surface **all the points of which are equally distant from a point within called the centre. The** sphere may be conceived to be generated by the revolution of a semicircle DAE (fig. 220) about its... | |
| Adrien Marie Legendre - Geometry - 1828 - 316 pages
...: a2. BOOK VII. THE SPHERE. Definitions. 437. 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.** D The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...described by the point B the circumference of a circle, which we define to be — a curved line fill **the points of which are equally distant from a point within called the centre — . The** whole space enclosed is called a circle, the moving line AB a radius, and the fixed point A the centre.... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...of a straight line and a curve. THE CIRCLE AND ITS PARTS. DBF. — A circle is a figure bounded by **a curved line, all the points of which are equally distant from** one point called the centre. Thus if all the points in the curved line BCGDFE (fig. 5) are equally... | |
| Adrien Marie Legendre - Geometry - 1830 - 316 pages
...: a2. BOOK VII. THE SPHERE. Definitions. 437. 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. The** sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE];... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...pyramid is said to be inscribed in the cone. 8. The sphere is a solid terminated by a curved surface, **all the points of which are equally distant from a point within, called the centre. The** sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE... | |
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