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" ... 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. "
A Treatise on Arithmetic ... - Page 260
by Noble Heath - 1855 - 455 pages
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Elements of Algebra

Silvestre François Lacroix - Algebra - 1818 - 422 pages
...that the cube, or third power of a number composed of tens and units, contains four parts, namely ; the cube of the tens, three times the square of the...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 units, we have...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...that the cube, or third power of a number composed of tens and units, contains four parts, namely ; the cube of the tens, three times the square of the...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 units, we have...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...contains four 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. 64000...
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - Arithmetic - 1825 - 258 pages
...cube of a number composed of tens and units, contains four parts, namely — the cube of the lens, three times the square of the tens multiplied by the...the tens multiplied by the square of the units, and lastly, the cube of the units. Let us form, from this, the cube of a number composed of tens and units,...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...the tens, the triple product of the square of the tens by the units, the triple product of the tens by the square of the units, and the cube of the units. If then we can determine in the proposed the cube of the tens, the tens of the root will be found by...
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Elements of Algebra, Volume 1

Silvestre François Lacroix - Algebra - 1831 - 324 pages
...that the cube, or third power, of a number composed of tens and units, contains four parts, namely, the cube of the tens, three times the square of the tens multiplied bij the units, three times the tens multiplied by the square of the units, and the cube of the units....
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...3a62 -f bs. Hence it will appear, that the cube root of any number. is composed of the cube of its tens, + three times the square of the tens multiplied...times the tens multiplied by the square of the units, + the cube of the units. If we take any number, 24 for example, we can put it under the form 20 + 4,...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...b3. Hence it will appear, that the cube root of any number is composed of the cube of its tens, -f three times the square of the tens multiplied by the...times the tens multiplied by the square of the units, + the cube of the units. If we take any number, 24 for example, we can put it under the form 20 + 4,...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard (Jr.) - Arithmetic - 1839 - 362 pages
...square of 7 ; 343 is the cube of 7. Therefore, the cube of a number containing two figures, consists of the cube of the tens, three times the square of the...the square of the units, and the cube of the units. Now the cube of 10 is 1000, the cube of 100 is 1000000, the cube of 1000 is 1000000000, &c. It appears,...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...cube of 7. 1 9,6 8 3 cube of 27. Therefore, the cube of a number containing two figures, consists of, The cube of the tens, three times the square of the...the units, three times the tens multiplied by the squ/irc of the units, and the cube of the units. Now the cube of 10 is 1,000, the cube of 100 is 1,000,000,...
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