 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...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
...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, John Farrar - Geometry - 1825 - 294 pages
...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 possiF)g.J63. ble, let AB x circ. AC (fig.... | |
 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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
...sides, or half the sum of the two circumferences. QED Theorem 535. ' The surface of a sphere is equal to the product of its 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
...sides, or half the sum of thetwo circumferences. QED Theorem 535. ' The surface of a sphere is equal to the product of its 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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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, and from the centre O draw OF... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...and the surface generated by the circular segment ABCD is a zone. Hence the area of the surface of a sphere is the product of its diameter by the circumference of a great circle. And, the area of a zone is the product of its altitude by the circumference of a great circle. 473.... | |
 | Charles Davies - Geometrical drawing - 1840 - 264 pages
...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 to circumference ABDExAD. Q.UEST. — 21.... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...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... | |
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The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. 
