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" 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... "
Watson's Tutor's assistant; or, Complete school arithmetic - Page 155
by William Watson (of Beverley.) - 1845 - 12 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 Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 pages
...x |FI = v^fl« > and by the similar cones AST, QMI, as * E 2 52 MENSURATION or SOLIDS. take double the height of -the segment ; then multiply the remainder by the square of the height, and the product by the decimal -5436, for the content. RULE II. To 3 times the square of the radius of the segment's...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 pages
...content of the cone ABI is= %ad* X $ TI = £. ad* ; and by the similar cones ABI, <IMI, u take double the height of the segment : then multiply the remainder by the square of the height, and the product by the decimal -5236, for the content. RULE II. To 3 times the square of the radius of the segment's...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - 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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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - 1821 - 384 pages
...52J6. Or, 2dly, From three times the diameter of thesphere. subtract twice the height of the frustrum; multiply the remainder by the square of the height, and the product by .5236. SEGUIERIA, in botany, so named in honour of Jean Francois Seguier, u genus of the Polyandria...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - 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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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 pages
...the content of the cone ABI is = £ad3 X in =Jiad3 ; and by the similar cones ABI, «MI, is n double the height of the segment : then multiply the remainder by the square of the height, and the product by the decimal -5236, for the content. RULE II. To 3 times the square of the radius of the segment's...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 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 - 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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