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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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 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 Edinburgh encyclopaedia, conducted by D. Brewster, Volume 14

Edinburgh encyclopaedia - 1830 - 856 pages
...find the solid content of a spherical segment. RULE. From three times the diameter of the sphere, take twice 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. This rule may be derived from Ex. S. Art. l6l. FLUXIONS ; or...
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A New System of Practical Astronomy: Made Plain and Easy to Those who Have ...

Thomas Spofford - 1835 - 84 pages
....5236. RULE 2. — From three tim^s the diameter of the Globe, subtract twice the heightof the Segment ; multiply the remainder by the square of the height, and the product by .5236. NOTE. — The surface or nrea of the Frustum is thus found :— as the diameter of the Globe...
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Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and ...

B[enjamin] Franklin Callender - 1836 - 226 pages
...of a Spheroid. From the product of three times the axis, subtract twice the height of the segment ; multiply the remainder -by the square of the height, and the product by .5236. Then, as the square of the axis is to the square of the revolving diameter, so is the last...
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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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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - 1844 - 130 pages
...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...remainder by the square of the height and the product by the decimal .5236. Ex. 1. What is the solidity of a spherical segment, whose height is 2 feet, cut...
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Introduction to The National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - 1844 - 204 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 the product by the decimal .5236 for the contents ; or to three times• the square of the radius of the segment's...
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - 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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Greenleaf's Introductory Arithmetic

Benjamin Greenleaf - 1845 - 222 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 the product by the decimal .5236 for the contents ; or to three times the square of tlie radius of the segment's...
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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - 1845 - 310 pages
...contents of a spherical segment. RULE 9. 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 that product by the decimal ,5236, and we have the content. The foregoing rules have a variety of practical...
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