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
| Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...proves that the square of a number composed of tens and units contains, the square of the tens phis **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 figure a cipher, we shall... | |
| Thomas Sherwin - Algebra - 1841 - 320 pages
...625. When, therefore, a number contains tens and units, its sccnnd power will contain the second power **of the tens, plus twice, the product of the tens by the units, plus the** second power of the units. Now let us reverse the process, and see by what means the root could be... | |
| Charles Davies - Algebra - 1842 - 284 pages
...(a+6)2=(64)2; or a2 + 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.** 94. If, now, we make the units 1,2, 3, 4, &c, tens, or units of the second order, by annexing to each... | |
| Charles Davies - Algebra - 1842 - 368 pages
...and (a+i) 3 =(64) 3 , 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** ihe units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each figure a cipher,... | |
| Charles Davies - Arithmetic - 1844 - 666 pages
...square AE, the two rectangles FE 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 i^oi of 1296. Since the number contains more than two... | |
| Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...the 7 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... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...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... | |
| Francis Henney Smith - Arithmetic - 1845 - 300 pages
...for any other number, we conclude, 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 ?... | |
| Francis Henney Smith - Arithmetic - 1845 - 710 pages
...for any other number, we conclude, 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 ?... | |
| Charles Davies - Algebra - 1845 - 382 pages
...(60)2 + 2 X 60 X 4 + (4)2 = 4096. 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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