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" Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. "
Elements of Geometry - Page 101
by Adrien Marie Legendre - 1825 - 224 pages
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. 94. If, now, we make the units 1,2, 3, 4, &c, tens, or units of the second 'order, by annexing to each...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. 94. If, now, we make the units 1,2, 3, 4, &c, tens, or units of the second order, by annexing to each...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of ihe units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each figure a cipher,...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...the square of this - - - 2116 Square of 4 tens, or 40 - - - - 1600 516 This remainder contains twice the product of the tens by the units, plus the square of the units. Now, if we double the tens, which gives 80, and divide 516 by 80, the quotient is the figure of the...
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Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - Arithmetic - 1844 - 356 pages
...and the square ED : Hence The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. • Let it now be required to extract the square i^oi of 1296. Since the number contains more than...
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...in the root, and also at the right of the divisor, we multiply by 7, and obtain 469, which is twice the product of the tens by the units plus the square of the units. Hence we deduce the following RULE. Separate the number into periods of two figures each, by placing...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...adding it to the divisor : then multiplying the divisor thus completed by the units, we obtain twice the product of the tens by the units, plus the square of the units. Now if this quantity be greater than the tens of the dividend, the units in the root are too many,...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...Hence, the square of a number composed of tens and units contains, the square of the tens, plus twice the product of the tens by the units, plus the square of the units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each a cipher, we shall have,...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...that the square of a number composed of tens and units contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Q. Of what parts may every number be considered as composed ? What does 16 contain ? 25 ? 59? 125 ?...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...that the square of a number composed of tens and units contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Q. Of what parts may every number be considered as composed ? What does 16 contain 1 251 59? 125 ?...
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