| Alexander Malcolm - 1730 - 627 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... | |
| James Ryan - 1827 - 272 páginas
...1.16', or 1£. * Tkt principle an which the preceding rule depends, is, that the square of the sit"ii **of two numbers is equal to the squares of the numbers...product. Thus, the square of 34 is equal to the squares** oi, 30 anil of 4 with twice the product of 30 anil 4 ; that is, to 900-J-2 x 30 X 4-f 16=1156. Jlere,... | |
| John Bonnycastle - 1833 - 288 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,** tha square of 24 is equal to the squares of 20 .»d 4 with twice the product of 20 and 4 ; that is,... | |
| Ira Wanzer - 1831 - 396 páginas
...divisors are less than the true the square rool depends is, that the square of the sum of any Iwo number! **is equal to the squares of the numbers with twice their product. Thus, the** number 45 is equal to40-j-5 ; and the square of 45 is equal to the squares of 40 and of 5, with twice... | |
| John Bonnycastle - 1835 - 288 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...numbers with twice their product. Thus, the square of** 24 is equal to the squares of 20 and 4 with twice the product of 20 and 4; that is, to 400 + 2 X20X4+l6=... | |
| A. Turnbull - 1836 - 335 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 - 284 páginas
...decimal figures are obtained as the degree of accuracy necessary in the result muy require. Tke pnnniJe **on which the preceding rule depends, is, that the...their product. Thus, the square of 34 is equal to** ttie squares of 30 and of 4 with twice the product of 30 and 4 ; that is, to 900-j-2X30x4+16= 1156.... | |
| Richard W. Green - 1839 - 148 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... | |
| George Peacock - 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=... | |
| James Bates Thomson - 1847 - 422 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.... | |
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