| Jeremiah Day - Mathematics - 1815 - 392 pages
...surface of a. hemisphere is equal to the product of its radius into the circumference of its base ; and **the surface of a sphere is equal to the product of its diameter** into its circumference. Cor. T . From this demonstration it follows, that the surface of any segment... | |
| Adrien Marie Legendre - Geometry - 1819 - 576 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 by the circumference of a great circle... | |
| 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. 263. ble, let AB x circ. AC (Jig.... | |
| 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 by the circumference of a great circle... | |
| 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 by the circumference of its great circle... | |
| Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 pages
...half the sum of all the parallel sides, or half the sum of the two circumferences. QED Theorem 535. ' **The surface of a sphere is equal to the product of...diameter by the circumference of a great circle.'** This is incuded in the preceding corollary. ' The entire surface described by the revolution of a semipolygon... | |
| Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 pages
...half the sum of all the parallel sides, or half the sum of thetwo circumferences. QED Theorem 535. ' **The surface of a sphere is equal to the product of...diameter by the circumference of a great circle.'** This is incuded in the preceding corollary. ' The entire surface described by the revolution of a semipolygon... | |
| Jeremiah Day - Logarithms - 1831 - 418 pages
...surface of a hemisphere is equal to the product of its radius into the circumference of its base; and **the surface. of a sphere is equal to the product of its diameter** into its circumference. Cor. 1. From this demonstration it follows, that the surface of any segment... | |
| Jeremiah Day - Measurement - 1831 - 398 pages
...surface of a hemisphere is equal to the product of its radius into the circumference of its base ; and **the surface of a sphere is equal to the product of its diameter** into its circumference. Cor. 1. From this demonstration it follows, that the surface of any segment... | |
| Adrien Marie Legendre - Geometry - 1836 - 382 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...diameter by the circumference- of a great circle. Let** ABCDE be -a semicircle. Inscribe in it any regular semi-polygon, and from the centre O draw OF perpendicular... | |
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