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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 - 1847 - 332 pages
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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
...rods, four times. But if the divisor is greater than the dividend, and yet a quantity of the same kind, the quotient shows what part of the divisor 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
...four times. But if (lie divisor is greater than the dividend, and yet a quantity of the same kind, the quotient shows what part of the divisor 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 - 1848 - 356 pages
...being a number, shows into how many parts the dividend is to be separated ; and the quotient shows what these parts are. If 12 rods be divided into 3...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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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 Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1850 - 356 pages
...is greater than the dividend, and yet a qua ntity of the same kind, the quotient shows what part oi the divisor is equal to the dividend. Thus one half...the dividend into two such factors, that one of them shah1 be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided by a....
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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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1854 - 428 pages
...is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. DIVISION OF MONOMIALS. 114. As the product of the divisor and quotient is equal to the dividend, the quotient mav be found, by resolving the dividend into two such factors, that one of them shall be the divisor....
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Elements of arithmetic for the use of schools

William Scott - Arithmetic - 1854 - 232 pages
...The rule for division of decimal fractions may be also inferred from the following considerations. The product of the divisor and quotient is equal to the dividend ; whence the number of decimal figures in the divisor and quotient must be equal to the number of decimal...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1859 - 422 pages
...is equal to the dividend. Thus one half of 24 rods is equal to 12 rods. DIVISION OF MONOMIALS. 114. As the product of the divisor and quotient is equal...the quotient. Suppose abd is to be divided by a. The factors a and bd will produce the dividend. The first of these, being a divisor, may be set aside....
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