| William Rossiter - 1867
...64. Or, substituting general symbols for particular numbers : Or, expressing the theorem in words, **the square of the sum of two numbers is equal to the** sum of the squares of the same numbers, together with twice their product. Bearing this in mind, we... | |
| Richard Wormell - 1868 - 261 páginas
...difference of the squares of two numbers is equal to the product of their sum and difference. and. **The square of the sum of two numbers is equal to the** sum of the squares together with twice the product. 3rd. The square of the difference of two numbers... | |
| ELIAS LOOMIS, L.L.D. - 1868
...19(6— c)— 6. Expand and reduce 66. The three following theorems have very important applications. **The square of the sum of two numbers is equal to the** square of the first, plus twice the product of the first ly the second, plus the square jof the second.... | |
| Richard Wormell - 1870 - 16 páginas
...difference of the squares of two numbers is equal to the product of their sum and difference. znd. **The square of the sum of two numbers is equal to the** sum of the squares together with twice the product. 3rd. The square of the difference of two numbers... | |
| Benjamin Greenleaf - 1871 - 330 páginas
...the parts separately hy the width ? Fig. 2. 25 feet. V 20 Ew* r 6 \JC b sir D F 20 20 20 5 400 100 **the square of the sum of two numbers is equal to the squares of the numbers,** pins twice their product. Thus, 25 being equal to 20-1-5, its square is equal to the squares of 20... | |
| David White Goodrich - 1873 - 206 páginas
...the squares of 20, 30, 40, 50, etc., are 400, 900, 1600, 2500, etc. Now since -(a+b)*=a'+2ab.+ b', **the square of the sum of two numbers is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Elias Loomis - 1873 - 360 páginas
...reduce 53(a-6+c)-27(a+6-c)-26(a-6-c). 66. The three following theorems have very important applications. **The square of the sum of two numbers is equal to the** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Benjamin Greenleaf - 1874 - 330 páginas
...multiplying the parts separately by the width '! Fig. 2. 25 feet. !rj| GA D 20 F 2(J ' 5 20 400 100 **the square of the sum of two numbers is equal to the squares of the numbers,** plus twice their product. Thus, 25 being equal to 20 -)- 5, its Bquare is equal to the squares of 20... | |
| 1874
...numerically by the product of the sides, we may at once deduce from the intuition of a figure in space **that the square of the sum of two numbers is equal to the** sum of their squures, together with twice their product and other theorems of a similar character ?... | |
| 1875
...complicated formula, such as (a + A) 2 = a 2 + 2«6-f 6 2 , which would be thus stated in words: " **The square of the sum of two numbers is equal to the** sum of their squares increased by twice the product of the numbers", the advantage is more decidedly... | |
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