 | Isaac Dalby - 1806 - 526 σελίδες
...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... | |
 | 1826 - 490 σελίδες
...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... | |
 | 1826 - 478 σελίδες
...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 - 1826 - 476 σελίδες
...(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 - 1828 - 474 σελίδες
...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.... | |
 | 1828 - 888 σελίδες
...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.... | |
 | 1840 - 706 σελίδες
...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 - 1842 - 426 σελίδες
...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 σελίδες
...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... | |
 | 1847 - 602 σελίδες
...practical necessity, to 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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The product of the sum and difference of two numbers is equal to the difference of their squares. 
