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" The product of the sum and the difference of two numbers is equal to the difference of their squares. "
Elements of Algebra - Page 40
by Arthur Schultze - 1918 - 309 pages
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Mechanics Magazine, Volume 5

Industrial arts - 1826 - 490 pages
...(To be continued.) SQUARING NUMBERS. Sm, — It has been long known that the product of the sum and difference of two numbers is equal to the difference of their squares, and hence, when a square is required to contain au area which is expressed by a number not a square.we...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 5

Perry Fairfax Nursey - Industrial arts - 1826 - 476 pages
...(To be continued.} SQUARING NUMBERS. SIR, — It has been long known that the product of the sum aud difference of two numbers is equal to the difference of their squares, and hence, when a square is required to contain an area which is expressed by a number iiot a square,...
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Mechanics' Magazine, Volume 5

Technology - 1826 - 478 pages
...(Ta be continued.) SQUARING NUMBERS. Sin, — It has been long known that the product of the sum and difference of two numbers is equal to the difference of their squares, and hence, when a square is required to contain an area which is expressed by a number not a si|uare,\ve...
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Journal of the Franklin Institute of the State of Pennsylvania for the ...

Meteorology - 1828 - 888 pages
...The method here pointed out is founded on the well known principle, that the product of the sum and difference of two numbers, is equal to the difference of their squares; to which difference, if we add the, square of the lessee number, we obtain the square of the greater....
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 32

Industrial arts - 1840 - 706 pages
...given, and it is merely an application of the well known theorem that " the product of the sum and difference of two numbers is equal to the difference of their squares." Thus, suppose c and b given to find a ; then — ... A/(e-r6)(e — b) a=*/c* — b1, or = — s —...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...1st equation, 26=s — d; ) Dividing ...... 6=|~2J Second Theorem. % 198. The product of the sum and difference of two numbers is equal to the difference of their squares. Let a, b, s, and d sustain the same relations as in the preceding theorem : * Then ----- s=a-\-b, And...
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Arithmetic, in Two Parts

Frederic A. Adams - Arithmetic - 1846 - 230 pages
...the sum of two numbers, and the difference of their squares, to find the greater and the less number, The product of the sum and the difference of two numbers is equal to the difference of their squares. Take the two numbers, 6 and 9 ; their sum is 15 ; their difference 3 ; 15X3=45. The square of 6 is...
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The Biblical review, and Congregational magazine [formerly The ..., Volume 4

1847 - 602 pages
...voluntary actions ; and logical necessity, primarily, to propositions. That the product of the sum and difference of two numbers is equal to the difference of their squares, that magnitudes which are equal to the same are equal to one another, are said to be necessary truths....
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...the 1st equation, Zb=s — d; Dividing .»»«»» Second Theorem. 198. The product of the sum and difference of two numbers is equal to the difference of their squares. Let a, />, s, and d sustain the same relations as in the preceding theorem : Then ..... s=a+b, And...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...squares. Thus 30 is equal to 2544+1 ; 33=16+16-|-1 ; 63=49+9+4-|-l. 19. The product of the sum and difference of two numbers, is equal to the difference of their squares. Thus, (5+3)X(5— 3)=16; also 52 — 32=16. 20. If two numbers are such, that their squares, when added...
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