 | James Bates Thomson - 1847 - 426 σελίδες
...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... | |
 | James Bates Thomson - 1848 - 434 σελίδες
...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; it follows therefore... | |
 | John Bonnycastle - 1848 - 320 σελίδες
...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... | |
 | George Roberts Perkins - 1849 - 346 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number,...number into the second, plus the square of the second; plus twice the product of the sum of the first two into the third, plus the square of the third. Continuing... | |
 | Uriah Parke - 1849 - 414 σελίδες
...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... | |
 | George Roberts Perkins - 1850 - 364 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9 Or in general terms, The square of the sum of three numbers is equal to the square of the first number, plus twice the product ofthejirst number into the second, plus the square of the second ; plus twice the product of the sum... | |
 | George Roberts Perkins - 1850 - 356 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number, plus twice the pfoduct of the first number into the second, plus the square of the second; plus twice the product... | |
 | Uriah Parke - 1850 - 402 σελίδες
...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... | |
 | George Roberts Perkins - 1851 - 356 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number,...number into the second, plus the square of the second; plus twice the product of the sum of the first two into the third, plus the square of the third. Continuing... | |
 | Daniel Leach - 1851 - 280 σελίδες
...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 of the units,... | |
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That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. 
