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" To three times the square of the radius of its base add the square of its height; multiply this sum by the height and the product by 0.5236. "
The Standard Arithmetic: For Schools of All Grades and for Business Purposes ... - Page 153
by James E. Ryan - 1877
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 722 pages
...add the sqnare of its height ; multiply the sum by the height, and the product by .r>'236.' Or, 2<Uy, From three times the diameter of the sphere, subtract twice the height of the fribtnim ; multiply the remaintier by the square of the height, and the product by .5236. SEGUIERIA,...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...the square of its height ; multiply the sum by the height, and the product by '5236. Or, 2dly, From 3 times the diameter of the sphere, subtract twice the height of the frustum ; multiply the remainder by the square of the height, and the product by '5236. That is, in...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...tUe globe is the .greatest. PROBLEM XIII. Tojlnd the Solidity of the Segment of a Sphere. RULE 1 *. From three times the diameter of the sphere, subtract twice the height of the segment ; multiply * Demonstrauon. Let A cm represent a triangular pyramid, whose tide m A is infinitely small. The sphere...
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Hawney's Complete Measurer: Or, The Whole Art of Measuring: Being a Plain ...

William Hawney - Geometry - 1820 - 336 pages
...the theorems become d2+fAa ; xA.x .785* ix Ax. 7854. To find the Solidity of the Segment of a Sphere. From three times the diameter of the sphere subtract twice the height of the segment ; multiply the remainder by the square of the height, and that product by .5236, and the last product will be...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - Natural history - 1821 - 382 pages
...add the square of its height ; multiply the sum by the height, and the pioduct by .52J6. Or, 2dly, From three times the diameter of the sphere, subtract twice the height of the frustrum; multiply the remainder by the square of the height, and the product by .5236. SEGUIER1A,...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 666 pages
...add tile square of its height; multiply the sum by the height, and the product by -5236. Or, 2dly, From three times the diameter of the sphere, subtract twice the height of the frustrum ; multiply the remainder by the square of the height, and the product by -5236. That is, in...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...this sum multiplied by the height, and the product again by .5236, will give the solidity. RULE II. From three times the diameter of the sphere subtract twice the height of the segment; multiply the remainder by the square of the height, and that pro-i duct by .5236 for the solidity, Note l. The...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...and this sum multiplied by the height, and the product again by .5236, will give the solidity. Or, From three times the diameter of the sphere subtract twice the height of the segment, multiply by the square of the height, and that .product by .5236 ; the last product will be the solidity. EXAMPLES....
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...the sphere and the height of the segment be known, the solidity may be easily found by the following Rule. — From three times the diameter of the sphere, subtract twice the height of the segment ; then multiply the remainder by the square of the height and the product by the decimal .5236. Ex....
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...inches. PROBLEM X. by the height, and the product again by -5236, will give the solidity. EULB II. From three times the diameter of the sphere subtract twice the height of the segment ; multiply the remainder by the square of the height and by -5236. NOTE. For the demonstration of the above Rules...
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