 | James Bates Thomson - 1847 - 432 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.... | |
 | John Bonnycastle - 1848 - 320 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+2x20x4+16=... | |
 | James Bates Thomson - 1848 - 434 páginas
...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;... | |
 | George Roberts Perkins - 1849 - 346 páginas
...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... | |
 | Uriah Parke - 1849 - 414 páginas
...numbers. Then proceed by Case 3. Illustration. By reference to the diagram at Case 4, it is obvious that the square of the sum of two numbers, is equal to twice the product, added to the sum of the squares. Hence the reason of the rule is obvious. Example.... | |
 | George Roberts Perkins - 1849 - 356 páginas
...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... | |
 | George Roberts Perkins - 1850 - 356 páginas
...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... | |
 | George Roberts Perkins - 1850 - 364 páginas
...32=8100+540+ 9. 482=(40+8)2=402+2x40.8+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... | |
 | Uriah Parke - 1850 - 402 páginas
...numbers. Then proceed by Case 3. Illustration. By reference to the diagram at Case 4, it is obvious that the square of the sum of two numbers, is equal to twice the product, added to the sum of the squares. Hence the reason of the rule is obvious. Example.... | |
 | Daniel Leach - 1851 - 280 páginas
...1600+400+25—2025 2(40x5)— 400 52-^25 1600+400+25=2025 284'. From the preceding illustration it is evident that the square of the sum of two numbers is equal to the square of the two numbers, plus twice their product, or to the square of the tens, 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. 
