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" From three times the diameter of the sphere subtract twice the height of the segment; multiply this remainder by the square of the height and the product by 0.5236. "
A Practical System of Mensuration of Superficies and Solids ... - Page 91
by J. M. Scribner - 1844 - 123 pages
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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....
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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,...
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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....
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 pages
...find the solid content of a spherical segment. From three times the diameter of the sphere take double the height of the segment; then multiply the remainder by the square of the height, and this product by -5236. Or, To three times the square of the radius of the segment's base add the square...
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...the contents of a spherical segment. RULE. From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and tJie product by the decimal .5236 for the contents ; or to three times the square of the radius of...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...; or the square of the chord of half the arc by 3.1416. •f To find the solidity of a segment. — From three times the diameter of the sphere, subtract...remainder by the square of the height, and the product ~again by .5236. Or, to three times the square of the radius ot the base of the segment, add the square...
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