 | Adrien Marie Legendre - 1819 - 574 pàgines
...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 - 1825 - 276 pàgines
...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 - 1825 - 280 pàgines
...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 - 1828 - 346 pàgines
...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... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 pàgines
...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 its diameter by the circumference of a great circle.' This is incuded in the preceding corollary. ' The entire surface... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 pàgines
...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 its diameter by the circumference of a great circle.' This is incuded in the preceding corollary. ' The entire surface... | |
 | Adrien Marie Legendre - 1836 - 394 pàgines
...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 - 1839 - 434 pàgines
...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 - 1840 - 262 pàgines
...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 - 1841 - 722 pàgines
...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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The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. 
