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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... "
A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ... - Pàgina 219
per Nathan Scholfield - 1845
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822 - 916 pàgines
...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 on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 pàgines
...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 - 1829 - 256 pàgines
...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 - 1834 - 182 pàgines
...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

Thomas Holliday - 1838 - 404 pàgines
...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 - 1840 - 264 pàgines
...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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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pàgines
...paraboloid, the greater diameter DC = 30, the least diameter AB=24, and the altitude EF=9 ? Ans. 5216.6208. 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=6v/7 ? 220 Here (MK' + PG') X KB X .5230 = [12' + (6^7)'] X 10 X...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 506 pàgines
...paraboloid, the greater diameter DC = 30, the least diameter AB=24, and the altitude EF=9 ? Ans. 5216.6208. 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 230 Here (MK1 + PG1) X KB X .5236 = [12' + (6v/7)"] X 10 X 5.236 = [144...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volum 43

1845 - 516 pàgines
...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 - 1846 - 254 pàgines
...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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