 | Alexander Malcolm - Algebra - 1730 - 702 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... | |
 | James Ryan - Arithmetic - 1827 - 290 pages
...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 with twice their 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... | |
 | John Bonnycastle - Measurement - 1833 - 310 pages
....002. Ex. 2. Divide 1.7144 by 1.5. Ans. 1.142955. Ex. S. Divide 24880 by 360. Ans. 69.111, &r. or 69i. Ex. 4. Divide 172.8 by .144. Ans. 1200. Ex. 5. Divide...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 - Arithmetic - 1831 - 408 pages
...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... | |
 | Robert Gibson - Surveying - 1832 - 290 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...numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice the product of 30 and 4 ; that is, to 900+2 X30... | |
 | Robert Gibson - Surveying - 1833 - 436 pages
...23 71 69 2608 | 20864 20864 * Tlie principle on which the preceding rule depends is, that the squan of' the sum of two numbers is equal to the squares...numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice the product of 30 and 4 ; that is, to 900-)-2... | |
 | A. Turnbull - Arithmetic - 1836 - 368 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 —... | |
 | James Thomson (LL.D.) - Arithmetic - 1837 - 296 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...numbers with twice 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=... | |
 | Robert Gibson, James Ryan - Surveying - 1839 - 452 pages
...Answer. 1 71 69 2608 I 20864 20864 " The principle on which the preceding rule depends is, that i\e square of the sum of two numbers is equal to the squares...numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice the product of 30 and 4 ; that is, to 900+2 X... | |
 | Richard W. Green - Algebra - 1839 - 156 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... | |
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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. 
