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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... "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Page 45
by James Bates Thomson - 1844 - 252 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...rods. 1 16. As the product of the divisor and quotient is equal t« the dividend, the quotient may he found, by resolving the dividend into two such factors,...course, be the quotient. Suppose abd is to be divided by «. The factors a and bd will produce the dividend. The firat of these, being a.' divisor, may be set...
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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. Al»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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 354 pages
...what part of the divisor is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. 116. As the product of the divisor and quotient 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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 360 pages
...what part of the divisor is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. 116. As the product of the divisor and quotient is equal...course, be the quotient. Suppose abd is to be divided by o. The factor a and bd will produce the dividend. The first of these, being a divisor, may be set aside....
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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 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 - 1846 - 356 pages
...what part of the divisor is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. 116. As the product of the divisor and quotient is equal...The other will, of course, be the quotient. Suppose aba" is to be divided by a. The factor a and bd will produce the dividend. The first of these, being...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1846 - 356 pages
...what part of the divisor is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. 116. As the product of the divisor and quotient is equal...factors, that one of them shall be the divisor. The oilier will, of course, be the quotient. Suppose abd is to be divided by a. The factor a and bd will...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...what part of the divisor is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. 116. As the product of the divisor and quotient 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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