 | James Bates Thomson - 1860 - 440 σελίδες
...are 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 ad led to twice the product of the two ptirts and the square of the last part;... | |
 | William Rossiter - 1867 - 250 σελίδες
...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 have to consider... | |
 | Richard Wormell - 1868 - 286 σελίδες
...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 is equal... | |
 | Elias Loomis - 1868 - 386 σελίδες
...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 - 304 σελίδες
...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 is equal... | |
 | Benjamin Greenleaf - 1871 - 350 σελίδες
...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... | |
 | David White Goodrich - 1873 - 220 σελίδες
...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 - 396 σελίδες
...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.... | |
 | 1874 - 540 σελίδες
...equal to the sum of the squares of its two parts, and twice the rectangle under them shows equally that the square of the sum of two numbers is equal to the sum of their squares, together with twice their product, and yet the units of the numbers are not exhibited... | |
 | 1875 - 482 σελίδες
...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 in favour... | |
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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. 
