 | Francis Henney Smith - Arithmetic - 1845 - 300 pages
...96. After subtracting the square of the tens from the given number, the remainder 496 must contain twice the product of the tens by the units, plus the square of the units, (Art. 221). But since tens multiplied by units cannot give a less product than ten, twice the product... | |
 | Francis Henney Smith - Arithmetic - 1845 - 710 pages
...96. After subtracting the square of the tens from the given number, the remainder 496 must contain twice the product of the tens by the units, plus the square of the units, (Art. 221). But since tens multiplied by units cannot give a less product than ten, twice the product... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...a vertical line : then we 7x2 = 148 subtract its square 49 from 60, which leaves a remainder of 11, to which we bring down the two next figures 84. The result of this operation is 1184, and this number is made up of twice the product of the tens by the units plus the square of... | |
 | Charles William Hackley - Algebra - 1846 - 544 pages
...figures of the second period 41, and annexing them on the right of 4, the result is 441, a number which contains twice the product of the tens by the units, plus the square of the units. We may farther prove, as in the last case, that if we point off the last figure 1, and divide the preceding... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...tens Subtracting 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... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...the square of the root sought, that is, the proposed number, contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. But the square of the tens must give at least hundreds; hence the last two figures, 44, can form no part... | |
 | Charles Davies - Arithmetic - 1846 - 370 pages
...and EC, 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 root of 1296. Since the number contains more than two... | |
 | Algebra - 1847 - 386 pages
...subtract its square 49 from 60, which leaves a remainder of 11, 7 X 2 = 148 60 84 1 78 49 ÎÏ84 1184 0 to which we bring down the two next figures 84. The result of this operation is 1184, and this number is made up of twice the product of the tens by the units plus the square of... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...and EC, 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 root of 1296. Since the number contains more than two... | |
 | Charles Davies - Algebra - 1848 - 300 pages
...we separate 49 1184 1184 it by a vertical line: then we 7x2= 14 8 subtract its square, 49, from 60, which leaves a remainder of 11, 0~ to which we bring...The result of this operation, 1184, contains twice t/te product of the tens by the units^ plus the square of the units. * But since tens multiplied by... | |
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The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units. 
