| 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.... | |
| John Bonnycastle - 1848 - 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+2x20x4+16=... | |
| James Bates Thomson - 1848 - 422 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 - 347 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 - 395 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 - 342 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 - 342 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 - 347 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
...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, WILLIAM D. SWAN - 1851
...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... | |
| |