| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...circle. This axis FG will be at the same time the diameter of the circumscribed circle. THEOREM. 535. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Demonstration. 1. We say that the diameter of a sphere multiplied... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...circle. This axis FG will be at the same time the diameter of the circumscribed circle, • THEOREM. 535. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Demonstration. 1. We say that the diameter of a sphere multiplied... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...circle. This axis FG will be at the same time the diameter of the circumscribed circle. THEOREM. 535. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. measure of^the surface of a greater sphere. For, if it be possiFig.... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...circle. This axis FG xvill at the same time be the diameter of the circumscribed circle. THEOREM. 535. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. We shall first shew, that the diameter of a sphere multiplied... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...described by ED + DC, is equal to (HI + IP) xcirc. ON, or equal to HP x circ. ON. PROPOSITION X. THEOREM. The surface of a sphere is equal to the product of its diameter by the circumference- of a great circle. Let ABCDE be -a semicircle. Inscribe in it any regular semi-polygon,... | |
| Jeremiah Day - Geometry - 1839 - 434 pages
...which shall differ less than by any f.ven quantity from the circle in which it is inscribed; (Sup. uc. 4. 1.) and in which the perpendicular GC shall differ...radius into the circumference of its base ; and the stirface of a sphere is equal to the product of its diameter into its circumference. Cor. 1. From this... | |
| Charles Davies - Geometrical drawing - 1840 - 262 pages
...circle. If it does not pass through the centre, the circle of section is called a small circle. 24. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Thus, the surface of the sphere whose centre is C, is equal... | |
| Roswell Park - Best books - 1841 - 722 pages
...multiplied by its slant height, or distance from the vertex to any point of the circumference just named: and the surface of a sphere, is equal to the product of its diameter by the circumference of a great circle, that is, of the sphere itself. The measure of the solidity... | |
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