 | Warren Colburn - Algebra - 1833 - 300 pages
...by 9a'— 7a46sc+ lOa'6V. 24. Divide 42 a7 — 84 a10 b' c by 1— 2a'6'c, Algebraic Fractions. XV. When the dividend does not contain the same letters...The usual way of expressing division, as has already en explained, is by writing the divisor under the dividend in form of a fraction. Thus a divided by... | |
 | William Smyth - Algebra - 1833 - 288 pages
...b by 9 erf, the division, it is easy to see, cannot be performed, we therefore express the quotient by writing the divisor under the dividend in the form of a fraction, 44. The expression gcd is called an algebraic fraction. Fractions of this species may be simplified,... | |
 | Mathematics - 1836 - 488 pages
...multiplication. If the letters of the divisor are not found in the dividend, the division is expressed by writing the divisor under the dividend, in the form of a vulgar fraction. FRACTIONS. If the denominator remains the same, multiplying the numerator by any quantity,... | |
 | Jeremiah Day - Algebra - 1839 - 354 pages
...(a*a;-tw3)*. DIVISION OF RADICAL QUANTITIES. 284. The division of radical quantities may be expressed, by writing the divisor under the dividend, in the form of a fraction. s . Thus the quotient of \/a divided by \/6, is V_. And («+/0* divided by (6+»)" is (a+V . In these... | |
 | Richard W. Green - Algebra - 1839 - 156 pages
...quantity before it by the quantity which follows it. Division is more generally denoted in Algebra by writing the divisor under the dividend in the form of a fraction. The sign = (equals) denotes that the whole quantity on the left of it, is equal to the whole quantity... | |
 | Warren Colburn - Algebra - 1841 - 288 pages
...c by 1— 2a'6"c. Algebraic Fractions. £V. When the dividend does not contain the same letters us the divisor, or but part of those of the divisor,...under the dividend in the form of a fraction. Thus « divided by b is expressed ^. i This gives rise to fractions in the same manner as in arithmetic.... | |
 | George Lees - 1843 - 86 pages
...the fifth part of one is COB. Hence the division of one number by another may be expressed by placing the divisor under the dividend in the form of a fraction. Thus, 2 -=- 3, or the third part of two, =— j8-f-6= — ;!7-f" o ILLUSTRATIONS Of ART. 8. •211 2 1. —... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...principles we derive the following GENERAL RULE FOR DIVISION. I. DIVISION, in all cases, may be expressed by writing the divisor under the dividend in the form of a fraction. II. When the divisor and dividend are both simple quantities, and have letters or factors common to... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...2a 101. If the letters of the divisor are not to be found in the dividend, the division is expressed by writing the divisor under the dividend in the form of a vulgar fraction. xv d — x 54<. Thus xy-^o=— . 55. (d— x)-. h=^-. This is a method of denoting... | |
 | James Bates Thomson - Arithmetic - 1847 - 432 pages
...expression 24 -i- 6 signifies that 24 is to be divided by 6. Second, division is often expressed by placing the divisor under the dividend, in the form of a fraction. Thus, the expression ty, shows that 35 is to be divided by 7, and is equivalent to 35-4-7. 26. The equality... | |
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The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic. 
