| 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... | |
| 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... | |
| 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. Thus, if we multiply... | |
| 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. Thus 212 = 20'+ 2(20+... | |
| 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 - 520 σελίδες
...somewhat more complicated formula, such as (a + b)2=a? + 2ab + b2, 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... | |
| 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... | |
| Robert Potts - 1879 - 668 σελίδες
...the first and second have this connection : (а+Ьу = (а-Ь)>+4аЬ, (e-î)l = (e+J)1-4ei; that is, The square of the sum of two numbers, is equal to the sum of tho square of the difference and four times the product of the two numbers. Tho square of the... | |
| Robert Potts - 1879 - 672 σελίδες
...And the first and second have this connection : (a+J)2 = (e_i)»+4ei, (ei)' = (e+i)I-4ei; that ie, The square of the sum of two numbers, is equal to the sum of the square of the difference and four times the product of the two numbers. The square of the... | |
| Isaac Todhunter - 1879 - 856 σελίδες
...b' The first example gives the value of (a + £>) (a + 6), that is, of (a + b)' ; we thus find Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice t/ieir product. Again we have Thus the square... | |
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