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" J, \i ; that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units in the numerator. "
Treatise on Arithmetic, Practical and Theoretical - Page 148
by Dionysius Lardner - 1834 - 353 pages
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Essays on Several Curious and Useful Subjects: In Speculative and Mix'd ...

Thomas Simpson - Electronic books - 1740 - 164 pages
...GV. And Pa x P£, £fc. =AO*coPO'*. CORO L. III. HENCE it is manifeft, that if any Circle A BCD, &c. be divided into as many equal Parts as there are Units in 2 m (m being any whole Number whatfoever) and if in the Radius OA, produced thro' A, any one of the...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...Algebraic fractions are the same in their nature as arithmetical fractions ; that is, the unit is conceived to be divided into as many equal parts as there are units in the denominator (this denominator being either a simple quantity or a polynomial), and as many of these...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...view as arithmetical fractions, such as |, {•£, that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, (which may be either a monomial or polynomial,) and that one of these parts is taken as...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...after division shows h< ny times the dividend contains the divisor. And if we consider the dividend to be divided into as many equal parts as there are units in the divisor, the quotient will express the value of one of these parts. Ex. \. Divide 80 dollars equally among four...
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The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - Arithmetic - 1834 - 300 pages
...elementary view of fractions, it may be perceived, that when there is a remainder of 1 unit, it is to be divided into as many equal parts as there are units in the divisor, and one of these parts is to be annexed to the quotient. This is performed by merely writing the 1...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...oi view as arithmetical fractions, such as j, |i, that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units in the numerator....
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...and that four of these parts are taken. If the numerator of a fraction be taken as an integer, and divided into as many equal parts as there are units in the denominator, the fraction may also be regarded as expressing one of these parts. Tims, if 4 be divided...
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Elements of Algebra

Algebra - 1838 - 372 pages
...of view as arithmetical fractions, such as ^, -j-^, that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units in the numerator....
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...expressed by ^ of £ or T^When we divide a fraction by a whole number we are to divide ihe fraction into as many equal parts as there are units in the divisor, and this may be done by dividing the numerator as in f$ 8 1 , or by multiplying the denominator as...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...of view as arithmetical fractions, such as -J, jl ; that is, we must conceive that the unit has been divided into as many equal parts as there are units in the denominator, and that one of these parts is taken as many times as there are units In the numerator....
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