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" Considering, then, the proposed number 6084 as composed of the square of the tens of the root sought, twice the product of the tens by the units, and the square of the units, if we can discover in this number the first of these parts, viz. "
Mathematical Manual for the Use of Colleges and Academies - Page 85
by L. I. M. Chevigné - 1807
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - Arithmetic - 1825 - 258 pages
...contains the three parts which we have signified, namely, the square of the tens of that number, twice the product of the tens by the units, and the square of the units. 135. This established, as the square of the tens is hundreds, (since 10y. 10=100) it is plain that...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...Considering then the proposed number 6084 as composed of the square of the tens of the root sought, twice the product of the tens by the units, and the square of the units, if we can discover in this number the first of these parts, viz. the square of the tens, the tens of...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard (Jr.) - Arithmetic - 1839 - 362 pages
...subtract 4, the square of 2, from 7, and bring down the 29; the remaining number, 329, contains twice the product of the tens by the units, and the square of the units; now twice any number of tens multiplied by units, gives nothing less than tens, so if we divide the...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 356 pages
...subtract 4, the square of 2, from 7, and bring down the 29. The remaining number, 329, contains twice the product of the tens by the units, and the square of the units; now twice any number of tens multiplied by units, gives nothing less than tens, so if we divide the...
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...of adding them as we proceed. We then } see that we must add the square of the tens, twice the ~ j product of the tens by the units, and the square of the ~l units. ' ___ 1369 Let us now reverse the process, and extract the square root of 1369. Pointing...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 pages
...instead of adding them as we proceed. We then 4^ see that we must add the square of the tens, twice the ^'product of the tens by the units, and the square of the 21 units. •'_ 1369 Let us now reverse the process, and extract the square root of 1369. Pointing...
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 244 pages
...adding them as we proceed. We then ( ^ see that we must add the square of the tens, twice the •* product of the tens by the units, and the square of the ~* units. _1^ 1369 Let us now reverse the process, and extract the square root of 1369. Pointing the periods,...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...of any number consisting of two figures is equal to the square of the tens, increased by twice the product of the tens by the units, and the square of the units. II. The square of 45 consists of twice its number of figures, and by squaring a series of numbers,...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...then, the proposed number 6084 as composed of the square of the tens of the root sought, twice the product of the tens by the units, and the square of the units, if we can discover in this number the first of these parts, viz. the square of the tens, the tens of...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...then, the proposed number 6084 as composed of the square of the tens of the root sought, twice the product of the tens by the units, and the square of the units, if we can discover in this number the first of these parts, viz. the square of the tens, the tens of...
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