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" To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter... "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 211
by Nathan Scholfield - 1845
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - Measurement - 1822
...met with in Practice ; if, however, they should occur, their contents may be found by the following Rule : To the square of the radius of the base add the square of the diameter taken in the middle between the base and the vertex ; then this sum being multiplied by the depth,...
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A treatise of practical mensuration

Anthony Nesbit - Measurement - 1824 - 434 pages
...and wine gallons ? Ans. 40.7071 ale, and 4<M>944 wine gallons. PROBLEM XIX. To find the solidity of a hyperboloid. RULE. To the square of the radius of...of the diameter in the middle between the base and the vertex ; then this sum being multiplied by the altitude, and the product thus obtained by .5236,...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 252 pages
...end 48, and the distance of the ends 18 ? Ans. 41733.0144. PROBLEM XXI. To find the solidity of an hyperboloid. RULE.* To the square of the radius of the base add the square of the middle diameter between the base and the vertex ; and this sum multiplied by the altitude, and the...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 159 pages
...the distance of the ends 10 ? Ans. 23954,7 solidity required. PROBLEM XVII. To find the solidity of a hyperboloid. Rule — To the square of the radius of the base add the square of the middle diameter between the base and the vertex, and this sum multiplied by the altitude, and that...
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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - Surveying - 1838 - 80 pages
...inches. Answer, 41733.0144 inches. PROBLEM XIV. TO FIND THE SOLIDITY OF AN HYPERBOLIC CONOID. Rule.—To the square of the radius of the base, add the square of the middle diameter between the base and the vertex, and this sum multiplied by the altitude, and the product...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 pages
...PROBLEM X. 11. To find the solidity of a spherical segment with one base. RULE. 1st. To three times the square of the radius of the base add the square of the height. 2d. Multiply this sum by the height, and the product by the decimal ,5236 : the result will...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...Multiply the sum of the areas of the two ends by half their distance. Ex. ]. What is the solid content of the frustum of a paraboloid, the greater diameter...radius of its base MK=12, and the middle diameter 230 Here (MK1 + PG1) X KB X .5236 = [12' + (6v/7)"] X 10 X 5.236 = [144 + (6' X 7)] X .5236 = (144...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...the greater diameter DC = 30, the least diameter AB=24, and the altitude EF=9 ? . . Ans. 5216.6268. Ex. 2. What is the content in wine gallons of a cask...MBNM, whose altitude KB=10, the radius of its base MK.= 12, and the middle diameter PG Here (MK* + PG') X KB X .5236 = [12' + (6-/7)1] X 10 X 5.236 =...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 43

1845
...for the purpose in the books on mensuration. The practical rule is as follows : — To three times the square of the radius of the base, add the square of the versed sine or height; multiply this sum by the height, and the product again by the constant fraction...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...SEGMENTS. 60. How do you find the solidity of a spherical segment with one base ? 1st. To three times the square of the radius of the base add the square of the height. 2d. Multiply this sum by the height, and the product by the decimal .5236 ; the result will...
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