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" The remaining number, 1 1 ,683, contains 3 times the square ofthe tens multiplied by the units, 3 times the tens multiplied by the square of the units, and the cube... "
A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ... - Page 235
by George Leonard - 1841
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Elements of Algebra

Silvestre François Lacroix - Algebra - 1818 - 422 pages
...parts, namely ; the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units. If it were required to find the third power of 47, by making a = 4 tens or 40, 6 = 7...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...parts, namely ; the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units. If it were required to find the third powor of 47, by making a = 4 tens or 40, b = 7...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...parts, namely, the cube of the lens, three times the square of the tens multiplied ay the units, three times the tens multiplied by the square of the units, and the cube of the units. After this manner, form the cube of a number composed of tens and units, of 43, for example....
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - Arithmetic - 1825 - 258 pages
...units contains the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units, number 154. 53. Upon this principle is founded the extraction of the cube root of a number...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...for the remaining terms ; namely, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units ; but since the first of these terms is much the largest, we shall be able to obtain the...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...from 19, and bring down the 683. The remaining number, 1 1 ,683, contains 3 times the square of the tens, multiplied by the units, 3 times the tens multiplied by the square of the units, and the cube of the units ; now 3 times the square of any number of tens multiplied by units, gives nothing less...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 352 pages
...the square of the 2 tens, or 1,200, we shall get the number of units, or too large a number, since 3 times the tens multiplied by the square of the units, and the cube of the units, usually increase the hundreds considerably. In fact, we get 9, which, on the proper trial,...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 356 pages
...the square of the 2 tens, or 1,200, we shall get the number of units, or too large a number, since 3 times the tens multiplied by the square of the units, and the cube of the units, usually increase the hundreds considerably. In fact, we get 9, which, on the proper trial,...
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A Practical Treatise on Arithmetic

George Leonard - Arithmetic - 1842 - 352 pages
...400 60 49 11683 3 49 square of 7 the units. 3 times the square of the tens 1200 540 343 7 240 8400 2940 2940 343 11683 Explanation. The cube of the units...in 11,683 by 3 times the square of the 2 tens, or 1 ,200, we shall get the number of units, or too large a number, since 3 times the tens multiplied...
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American Common-school Arithmetic ...

Rufus Putnam - Arithmetic - 1849 - 402 pages
...of two numbers, consisting of units and tens, is the cube of the tens, + 3 times the square of the tens multiplied by the units, + 3 times the tens multiplied by the square of the units, -\-the cube of the units; or, The cube of the tens ; plus liie product of 3 times the square of the...
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