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" Then say, by the rule of three, as the sum of the given number and double the assumed cube is to the sum of the assumed cube and double the given number, so is the root of the assumed cube to the root required, nearly ; Or as the first sum is to the difference... "
A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well ... - Page 86
by Charles Hutton - 1816
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...Vadd 6l = 216\ 1572544 subtrahend. 0000000 remainder. Ex. 2. Extract the cube root of 571485-19. , Ex. 3. Extract the cube root of 1628-1582. Ex. 4....usually given for extracting the cube root, is so exeedingly tedious, and difficult to be remembered, that various other approximating rules have been...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1821 - 594 pages
...16974593? A. ris. 257. 2. To Extract the Cube Root by another Method.* s \ i • 1. By trials find the nearest rational cube to the given number, whether...greater or less ; and call it the assumed cube. 2. Then say, by the Rule of Three, as the sum of the given number and double the assumed . cube, is to the...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...1728} add 4» = 64 } 1572544 subtrahend. 0000000 remainder. Ex. 2. Extract the cube root of 571482-19. Ex. 3. Extract the cube root of 1628-1582. Ex. 4....nearest rational cube to the given number, whether it be ereater or less ; and call it the assumed cube. 5 2. Then » The method usually gi'eo for extracting...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1832 - 290 pages
...to 20+ 5, and therefore 25 cubed 2. To extract the Cube Root by another Metlwd.* 1. By trials find the nearest rational cube to the given number, whether it be greater or less, and call it the assumed,cube. 2. Then say, by the Rule of Three, as the sum of the given number and double the assumed...
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The Mechanic's Calculator, Or Workman's Memorial Book ...

William Grier - Mechanical engineering - 1832 - 366 pages
...100759 34. The easiest rule for the extraction of the cube root, is this : By trials, take the nearest cube to the given number, whether it be greater or less, and call it the assumed cube. Thus, if 29 was the given cube whose root was to be extracted, then, 3 times 3 times 3, or 27, is the...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...cube root of 16974593? Ans. 257. 2. To extract the Cube Root by another MetJiod.* 1. By trials find the nearest rational cube to the given - number, whether...greater or less, and call it the assumed cube. 2. Then say, by the Rule of Three, as the sum of the given number and double the assumed cube is to the sum...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1836 - 384 pages
...100759 34. The easiest rule for the extraction of the cube root is this : By trials, take the nearest cube to the given number, whether it be greater or less, and call it the assumed cube : thus, if 29 was the given cube whose root was to be extracted, then, 3 times 3 times 3, or 27, is...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1840 - 436 pages
...21724 TO EXTXACT THE CUBE BOOT. Rule. 1 . — By trials, or by the Table of Roots, ( Vide Page 293 ) take the nearest rational cube to the given number,...or less ; and call it the assumed cube. 2. — Then (by the Rule of Three) As the sum of the given number and double the assumed cube, is to the sum of...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1842 - 320 pages
...100759 34. The easiest rule for the extraction of the cube root is this : By trials, take the nearest cube to the given number, whether it be greater or less, and call it the assumed cube : thus, if 29 was the given cube whose root was to be extracted, then, 3 times 3 times 3, or 27, is...
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Arithmetic, Its Principles and Practice

James W. Kavanagh - 1846 - 304 pages
...finding the third root, as arranged by Dr. Hutton : — By trials tahe the nearest rational third power to the given number, whether it be greater or less ; and call it the assumed third power. Then by proportion, the sum of the given number, and double the assumed power : the sum...
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