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. A Treatise on Algebra - Page 139by Elias Loomis - 1873 - 360 pagesFull view - About this book
| Charles Davies - Algebra - 1860 - 328 pages
...proves that the square of a number composed of tens and units, equals the square of the tens jilus **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... | |
| Charles Hutton - Mathematics - 1860 - 1020 pages
...second period 41, and annexing them on the right of 4, the result is 441, a number which contains tnice **the product of the tens by the units, plus the square of the units.** We may further prove, as in the last case, that if we point off the last figure 1, and divide the preceding... | |
| Charles Davies - Algebra - 1861 - 322 pages
...Which proves that the square of a number composed of tens and units, equals the square of the lens **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... | |
| Education - 1861 - 552 pages
...period must be the square of the tens. After taking out this square of the tens, we have left the double **product of the tens by the units plus the square of the units.** By dividing the double product by double the tens, we find the units. BY inspection, we may often determine... | |
| Thomas Sherwin - 1862 - 252 pages
...+ 9 = 529. Hence, When a number contains units and tens, its second power contains the second power **of the tens, plus twice the product of the tens by the units, plus the** second power of the units. Let us now, by a reverse operation, deduce the root from the power. Operation.... | |
| Benjamin Greenleaf - 1863 - 338 pages
...square root. 2141 The square of any number, consisting of more than one place of 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.** For, if the tens of a number bo denoted by a, and the units by Ь, the number will be denoted by a... | |
| Charles Davies - Arithmetic - 1863 - 346 pages
...33+ 2 (3 x 0) + 63: that is, 3 + 6 3 + 6 3x6 3' + 3 x 6 2(3x6) + 6 The square of a number is equal to **the square of the tens plus twice the product of the tens by the units, plus** th» square of the units. The same may be shown by the figure : Let the line AB represent the 3 tens... | |
| Elias Loomis - Algebra - 1864 - 386 pages
...the number of tens, whose square is 400; and if we subtract this from 529, the remainder 129 contains **twice the product of the tens by the units, plus the square of the units.** If, then, we divide this remainder by twice the tens, we shall obtain the units, or possibly a number... | |
| Charles William Hackley - Algebra - 1864 - 532 pages
...tens, plus two units.) ' Now 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,** pins the square of the units. But the square of the tens must give at least hundreds; hence the last... | |
| Charles Davies - Arithmetic - 1865 - 468 pages
...period, and subtract; this 85^42 5 takes away the square of the tens, and leaves 42 5 425, which is **twice the product of the tens by the units plus the square of the units.** If, now, we double the tens, and then divide the remainder, exclusive of the right-hand figure (since... | |
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