 | Chambers W. and R., ltd - 1859 - 344 pages
...method becomes the continuous one prescribed in the rule, the following proposition must be premised : The square of the sum of two numbers is equal to the squares of the two numbers, together with twice their product. Take any two numbers, as 20 and 5 ; their sum is 25,... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...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 pages
...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 - Geometry, Modern - 1868 - 286 pages
...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 - Algebra - 1868 - 386 pages
...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 - Geometry, Plane - 1870 - 304 pages
...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 - Arithmetic - 1871 - 350 pages
...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 - Ready-reckoners - 1873 - 220 pages
...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 - Algebra - 1873 - 396 pages
...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.... | |
 | Humanities - 1874 - 540 pages
...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... | |
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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. 
