 | Isaac Dalby - Mathematics - 1806 - 526 pages
...3i<z — I4x 'Ja'x + 601* — 3axy3 -4-X-4-1 1 the square of *+ 1. ** — j/'orx* — ^«, viz. t lie product of the sum and difference of two numbers is equal to the difference of their stjuiies. *—y * or **— ;V* «> -J- 1 or p + 1 . x* — a* + A * -»- e -(-c.ia — ca.r .4- cb... | |
 | Industrial arts - 1826 - 490 pages
...CHKVERTON. Kingsdown, Bristol. (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... | |
 | Technology - 1826 - 478 pages
...CIIKVJ-.KTON. Kingsdown, Bristol. (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... | |
 | 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,... | |
 | Perry Fairfax Nursey - Industrial arts - 1828 - 474 pages
...the subject of arithmetic. 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 lesser number, we obtain the square of the greater.... | |
 | Meteorology - 1828 - 888 pages
...the subject of arithmetic. 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.... | |
 | Industrial arts - 1840 - 706 pages
...hypotheneuse is one of the sides 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 —... | |
 | George Peacock - Algebra - 1842 - 426 pages
...66. To form the product of a + b and ab. the sum and differ- a + ft ence of two , numbers. a — o Or the product of the sum and difference of two numbers is equal to the difference of their squares. 67- To form the cube of a + b. (Art. 39.) Cube of a +b a +b 6'= (a + 6)* (Art. 62.) a + 6 a3 + 3a'6... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...Subtracting the 2d from the 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... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...----- a Subtracting the 2d from 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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The product of the sum and difference of two numbers is equal to the difference of their squares. 
