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" To three times the square of the radius of the base, add the square of the height. "
A complete treatise on practical land-surveying - Pàgina 235
per Thomas Holliday - 1838 - 80 pàgines
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A Complete System of Practical Arithmetic, with Various Branches in the ...

William Taylor (teacher of the mathematics.) - 1800 - 556 pàgines
...of the bafe, add the fquare of the middle diameter, between the bafe and the vertex ; and this fum multiplied by the altitude, and the product again by ,5236, will give the folidity. ,* E. j. In the Hyperboloid ABC, the altitude Ь is 20, the radius с С of the bafe 24,...
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A Treatise on Practical Gauging

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

Anthony Nesbit - 1824 - 476 pàgines
...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 the base, add the square of the diameter in the middle between the base and the vertex ; then this sum being multiplied by the altitude,...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1829 - 256 pàgines
...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...the product again by .5236, will give the solidity. Btl ment is 4 AB — %db. But B — b : A. — a (d) : : B : A= ~; bd and B — 6 : d :: b : a= -by...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1833 - 172 pàgines
...that of the less 50, and the distance of the ends 101 Ans. 23954,7 solidity required. PROBLEM XVII. the middle diameter between the base and the vertex, and this sum multiplied by the altitude, and that product by ,5236, the last product will give the solidity. EXAMPLES. 1. In the hyperboloid the...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1834 - 182 pàgines
...? 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...vertex, and this sum multiplied by the altitude, and that product by ,5236, the last product will give the solidity. EXAMFLfiS. 1. In the hyperboloid the...
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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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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 plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pàgines
...PROBLEM XI. 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 in the middle, between the base and top; multiply this sum by the altitude, and the product...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845 - 542 pàgines
...PROBLEM XI. , 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 in the middle, between the base and top; multiply this sum by the altitude, and the product...
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