| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...of the polyedrons. we shall have . P :p : : A* : a*. SECTION THIRD. Of the Sphere. DEFTNITIONS. 437. **A sphere is a solid terminated by a curved surface...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... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...THE MEASUREMENT OF ITS ANGLES. Definitions. \ • I. The circumference of a circle is a curve line, **all the points of which are equally distant from a point within, called the centre.** The circle is the space terminated by this curve line. Note. In common language, the circle is sometimes... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...sides, or diagonals of the polyedrons, we shall have SECTION THIRD. Of the Sphere. DEFINITIONS. ' 437. **A sphere is a solid terminated by a curved surface...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... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...sides, or diagonals of the polyedrons, we shall have SECTION THIRD. • Of the Sphere. DEFINITIONS. 437. **A sphere is a solid terminated by a curved surface...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... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...Circle and the Measure of Angles. DEFINITIONS. ,, . 90. THE circumference of a circle is a curved line **all the points of which are equally distant from a point within called the centre.** The circle is the space terminated by this curved line*. 91. Every straight line CA, CE, CD (fig. 46),... | |
| Adrien Marie Legendre - 1825 - 570 pages
...the Circle and the Measure of Angles. DEFINITIONS. ^0. THE circumference of a circle is a curved line **all the points of which are equally distant from a point within called the centre.** The circle is the space terminated by this curved line*. 46. 91. Every straight line CA, CE, CD (fig.... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...properties very nearly the same as those which we have established in the present book. (230) DBF. — **A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a** certain point within it, called its centre. A sphere may be conceived to be produced by the revolution... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...p : : A2 : 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 - 138 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... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...are in the convex surface of the cone, and the pyramid is said to be inscribed in the cone. 8. The **sphere is a solid terminated by a curved surface,...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... | |
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