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" mb 90. In order therefore to reduce a given fraction to its least terms, it is required to find a number by which both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor... "
Elements of Algebra - Seite 24
von Leonhard Euler - 1822 - 593 Seiten
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 246 Seiten
...both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator...found, this shews that the fraction is already in the simplest form that it admits of. 91. To make this more clear, let us consider the fraction "T*,*T....
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 276 Seiten
...both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator...reduced to a lower form ; but, on the contrary, when we sec that except unity no other common divisor can be found, this shews that the fraction is already...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 380 Seiten
...both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator and the denominator, it is certain that trary, when we see that except unity no other common divisor can be found, this shews that the fraction...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 394 Seiten
...both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator and the denominator, it is certain that tho fraction may be reduced to a lower form ; but, on the contrary, when we see that except unity no...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 404 Seiten
...both the mimerator and denominator may he divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator and the denominator, it is certain that t!ie fraction may be reduced to a lower form ; but, on the contrary, when we see that except unity...
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Memoirs of John Napier of Merchiston: His Lineage, Life, and Times, with a ...

Mark Napier - 1834 - 594 Seiten
...have the value of the fraction j." — Hewlett's translation ofEuler's Algebra, 1822. * " In order to reduce a given fraction to its least terms, it...form ; but, on the contrary, when we see that, except no unity, other common divisor can be found, this shows that the fraction is already in its simplest...
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The Common School Arithmetic ...: To which is Added a Dictionary of ...

Peirpont Edward Bates Botham - 1837 - 252 Seiten
...both the numerator and denominator may be divided. Such a number is called a common divisor, and so long as we can find a common divisor to the numerator...except unity no other common divisor can be found, this shows that the fraction is already in the simplest form that it admits of. 73. This property of fractions...
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Handbook of the Steam-engine: Containing All the Rules Required for the ...

John Bourne - 1865 - 744 Seiten
...called a common divisor ; and so long as we can find for the numerator and denominator a common divisor, it is certain that the fraction may be reduced to a lower form. But if we cannot find such common divisor, the fraction is in its lowest form already. Thus in the fraction...
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Handbook of the Steam-engine: Containing All the Rules Required for the ...

1865 - 580 Seiten
...called a common divisor ; and so long as we can find for the numerator nad denominator a common divisor, it is certain that the fraction may be reduced to a lower form. But if we cannot find such common divisor, the fraction is in its lowest form already. Thus in the fraction...
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Handbook of the Steam-engine

John Bourne - 1873 - 508 Seiten
...called a common divisor ; and so long as we can find for the numerator and denominator a common divisor, it is certain that the fraction may be reduced to a lower form. But if we cannot find such common divisor, the fraction is in its lowest form already Thus in the fraction...
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