 | Alexander Malcolm - 1730 - 702 páginas
...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... | |
 | Robert Gibson - 1832 - 290 páginas
...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 - 1835 - 308 páginas
...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 - 1836 - 368 páginas
...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 —... | |
 | James Thomson (LL.D.) - 1837 - 296 páginas
...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 - 1839 - 156 páginas
...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 number. §173.... | |
 | George Peacock - 1842 - 426 páginas
...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=... | |
 | Davis Wasgatt Clark - 1844 - 394 páginas
...) , . ,, ,, , n ^ a +0=0 -\-2p. gether ) Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the fIrst term -f twice the product of the two terms + the square of th2 last term. Let s represent the sum,... | |
 | Davis Wasgatt Clark - 1846 - 374 páginas
...two equations to-) gether • . - ' - - \ Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the first term -f twice the product of the two terms + the square of th( last term. Let s represent the sum,... | |
 | James Bates Thomson - 1847 - 426 páginas
...of the two parts, viz: 20X3+20X3=120, added to the square of the last part, viz : 3X3=9. Hence, 562. The square of the sum of two numbers is equal to the square of the first part, added to twice the product of the two parts, and the square of the last part. OBS. 1. The product... | |
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The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. 
