| Alexander Malcolm - Algebra - 1730 - 627 pages
...Square of the other Part, is equal to the Squares of the Sum of the whole and that Part. THEOREM V. **THE Square of the Sum of two Numbers is equal to the Sum of** the Square of one of them • and the Product of thé other into the Sum of this other and double the... | |
| Warren Colburn - Algebra - 1825 - 372 pages
...a + b a* +2 ab +b*. That is, the product of the sum of two numbers, ty itself, or the second power **of the sum of two numbers, is equal to the sum of** the second powers of the two numbers, added to twice the product of the two numbers. J1f ultiply a... | |
| Warren Colburn - Algebra - 1828 - 276 pages
...a +b a* +ab ab + b* That is, the product of the sum of two numbers, by itself, or the lecond power **of the sum of two numbers, is equal to the sum of** the tecond powers of the two numbers, added to twice the product of the two numbers. Multiply a —... | |
| Robert Gibson - Surveying - 1832 - 348 pages
...Answer. 1 1 1 23 71 69 2608 | 20864 20864 * The principle on which the preceding rule depends is, that **the square of the sum of two numbers is equal to the** squares of the numbers with twice their product. Thus, the square of 34 is equal to the squares of... | |
| John Bonnycastle - Measurement - 1835 - 288 pages
...its circumference to be 24880 miles ? Ans. 7919.53666 miles, nearly. Extraction of the Square Root. **The square of the sum of two numbers is equal to the** squares of the numbers with twice their product. Thus, the square of 24 is equal to the squares of... | |
| A. Turnbull - Arithmetic - 1836 - 335 pages
...From these examples we see that the product of the sum of two numbers, by their sum, that is to say, **the square of the sum of two numbers, is equal to the sum of their squares** added to twice their product. 0+6 12 + 8 a —b 12 — 8 114 — 96 — 96 — 64 — b2 144 — 64... | |
| Silas Totten - Algebra - 1836 - 304 pages
...16a264. The following properties are also of great use : — 1. The square of the sum of two quantities, **is equal to the sum of their squares plus twice their product.** Let a and b be the quantities, then a -j- b is their sum, and we have, (a + b)2 = (a + b)x(a + b) =... | |
| James Thomson (LL.D.) - Arithmetic - 1837 - 284 pages
...accuracy necessary in the result muy require. Tke pnnniJe on which the preceding rule depends, is, that **the square of the sum of two numbers is equal to the** squares of the numbers with twice their product. Thus, the square of 34 is equal to ttie squares of... | |
| Richard W. Green - Algebra - 1839 - 148 pages
...their sum, by their sum. a+b a+b a3+ab +ab+b3 By this operation we find the following general property. **The square of the sum of two numbers is equal to the** square of the Jlrst number, plus twice the product of the two numbers, plus the square of the last... | |
| George Peacock - Algebra - 1842
...into a + b, or the square Square of (Art. 39.) of a + b. a + 6' a + b a + b a* + ab + ab + b* = (a Or **the square of the sum of two numbers is equal to the sum of** the squares of those numbers together with twice their product. Thus, (5 + S)8 = 25 + 9 + 2x3x5= 64... | |
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