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" As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided... "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 42
by Jeremiah Day - 1820 - 332 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...one quantity is contained in another. A line of 3 rods, is contained in one of 1 2 rods, /bur times. But if the divisor is greater than the dividend, and...dividend. The first of these, being a divisor, may he set aside. The other is the quotient. Hence, WHEN THE DIVISOR is FOUND AS A FACTOR, IN THE DIVIDEND,...
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The Teacher's Assistant, and Scholar's Mathematical Directory: Containing ...

Dudley Leavitt - Mathematics - 1830 - 154 pages
...by |," &c. Solution, f x21 = V3 = 15f. AlĀ»sRemark. The reason of the operation is obvious, because the product of the divisor and quotient is equal to the dividend. 27. " If to my age there added be," &c. Solution. 1st. Suppose the age was 30 ; then the error will...
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...of decimal places in the dividend exceeds the number in the divisor; for, by the nature of division, the product of the divisor and quotient is equal to the dividend, and, by last Article, the number of decimal places in the product is equal to the number in both factors....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...Hence, DIVISION is finding a quotient, which multiplied into the divisor will produce the dividend. 92. As the product of the divisor and quotient is equal...Suppose abd is to be divided by a. The factors a and Id will produce the dividend. The first of these, being a divisor, may be set aside. The other is the...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
..._J DIVISION is finding a quotient, which multiplied into the divisor will produce the dividend. 92. As the product of the divisor and quotient is equal...quotient. Suppose abd is to be divided by a. The factors o and bd will produce the dividend. The first of these, being a divisor, may be set aside. The other...
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - Algebra - 1844 - 568 pages
...so written are named fractious. 83. Let, next, d be less than 10, and D any number whatever : Since the product of the divisor and quotient is equal to the dividend, and the divisor contains one figure, the quotient must contain as many as the dividend, or that number...
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A Treatise on Algebra: Symbolical algebra and its applications to the ...

George Peacock - Algebra - 1845 - 480 pages
...the rule for the concurrence of like and unlike signs in Multiplication (Art. 569), by observing that the product of the divisor and quotient is equal to the dividend (Arts. 70 and 72). (5) 9aV-M2flV: _ 3 x 3 a' x' xx 4 x 3a'x'xa suppressing the factor 3a'x', which...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...rods, four times. But if the divisor is greater than the dividend, and yet a quantity of the same kmd, the quotient shows what part of the divisor is equal...the quotient. Suppose abd is to be divided by a. The factor a and bd will produce the dividend. The first of these, being a divisor, may be set aside. The...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...^ DIVISION is finding a quotient, which multiplied into the divisor will produce the dividend. 92. As the product of the divisor and quotient is equal...dividend, the quotient may be found, by resolving tfce dividend into two such factors, that one of them shall be the divisor. The other will, of course,...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...division, and for this purpose, divide 32 by 8. Divisor. Dividend. Quoiieni. Here it is visible that the product of the divisor and quotient is equal to the dividend ; and this is a general principle, true in every possible case. Now let us divide ? by -. There will...
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