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" The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. "
First Lessons in Geometry: With Practical Applications in Mensuration, and ... - Page 83
by Charles Davies - 1840 - 252 pages
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 96 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 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....
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828
...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...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828
...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...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 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...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 155 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...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 370 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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 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...
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