 | Admiralty - 1845 - 152 pages
...squares of those quantities." From the 2nd of these we see that "The square of the sum of two quantities, is equal to the sum of their squares, plus twice their product." From the 3rd of these we see that "The square of the difference of two quantities, is equal to the... | |
 | James Bates Thomson - Arithmetic - 1847 - 432 pages
...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.... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...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.... | |
 | James Bates Thomson - Arithmetic - 1848 - 434 pages
...three figures in the given number, there must be two figures in the root ; (Art. 562. Obs. '2 ;) but 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;... | |
 | John Bonnycastle - Geometry - 1848 - 320 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... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...who has not studied the subject closely. In either case the operation is based on the theorem, that " the square of the sum of two numbers is equal to the sum of their squares, added to twice the product of one by the other." Let us extract the square root of 576, and examine... | |
 | George Roberts Perkins - Arithmetic - 1849 - 346 pages
...540 + 9. 482=(40+8)2=402+2 x 40.8+82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square... | |
 | George Roberts Perkins - Arithmetic - 1849 - 356 pages
...sum of any two numbers, as 6 + 8, is equal to 63 +2x6.8 + 8", which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
...who has not studied the subject closely. In either case the operation is based on the theorem, that " the square of the sum of two numbers is equal to the sum of their squares, added to twice the product of one by the other." Let us extract the square root of 576, and examine... | |
 | George Roberts Perkins - Arithmetic - 1850 - 356 pages
...sum of any two numbers, as 6 + 8, is equal to 6" + 2x 6.8 + 83, which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square... | |
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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. 
