 | William Smyth - 1847 - 276 pages
...-\-ad-\-bc-\-bd may be put under the form a (c -j- d) -\-b (c -j- d), or which is the same thing (a -\- b) (c -j- d). DIVISION OF ALGEBRAIC QUANTITIES. 28. 1. The object...and quotient ; whence the quotient is obtained by striking out of the dividend the factors of the divisor. Thus to divide abcd by ac, we strike out of... | |
 | William Smyth - Algebra - 1855 - 370 pages
...-\-ad-\-bc-\-bd may be put under the form a (c-\-d) -\-b (c-\-d), or which is the same thing (a -\-b) (c -j- d). DIVISION OF ALGEBRAIC QUANTITIES. 28. 1. The object...all the factors both of the divisor and quotient; tohence the quotient is obtained by striking out of the dividend tihe. factors of the divisor. Thus... | |
 | Robert Johnston (F.R.G.S.) - 1860 - 188 pages
...contain the divisor an exact number of times, we have a REMAINDER, which is always less than the divisor. of the factors of a given product, when the other is known. 36. As this rule shows how often one number must be taken to make up another, it is plain, that the... | |
 | William Smyth - Algebra - 1861 - 496 pages
...-\-ad-\-bc-\-bd may be put under the form a (c-\- d) -\-b (c-\-d), or which is the same thing (a -f- b) (c -f- d). DIVISION OF ALGEBRAIC QUANTITIES. 28....and quotient ; whence the quotient is obtained by striking out of the dividend the factors of the divisor. Thus to divide abed by ac, we strike out of... | |
 | Robert Johnston (F.R.G.S.) - 1863 - 254 pages
...the divisor. DIVISION enables us to find the third part, or any part, of a number ; or, it shows how to find one of the factors of a given product, when the other is known. As this rule shows how often one number must be taken to make up another, it is plain that the number... | |
 | Joseph Ray - 1856 - 400 pages
...finding how many times one number is contained in another. Also, Division is the process of finding one of the factors of a given product, when the other is known. The number contained in the other is the Divisor, the other number is the Dividend. and the result... | |
 | Robert Johnston (F.R.G.S.) - 1879 - 320 pages
...the divisor. DIVISION enables us to find the third part, or any part, of a number ; or, it shows how to find one of the factors of a given product, when the other is known. As this rule shows how often one number must be taken to make up another, it is plain that the number... | |
| |
QUANTITIES. 28. 1. The object of division in algebra is the same as that of division in arithmetic, viz. to find one of the factors of a given product, when the other is known. According to this definition the divisor multiplied by the quotient must produce... 
