| John Davidson, Robert Scott (writing master) - 1818 - 190 σελίδες
...Whence, it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided, by the same number, the value of the fraction will not be altered : thus, |=•=ja=£a», &c. And on these principles the greater part of the following rules... | |
| George G. Carey - 1818 - 602 σελίδες
...?.nd denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain... | |
| Leonhard Euler - 1821 - 380 σελίδες
...it results, that, ifbsth the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Silvestre François Lacroix - 1821 - 160 σελίδες
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Etienne Bézout - 1824 - 238 σελίδες
...fractions | and •£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |..... | |
| Warren Colburn - 1825 - 400 σελίδες
...The 3d root of a* is aT. * i _* The 5th root of a* b* is atT If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as to raising it to a power, and then extracting... | |
| Silvestre François Lacroix - 1825 - 404 σελίδες
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of the fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Ferdinand Rudolph Hassler - 1826 - 224 σελίδες
...smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both multiplied or divided by the same number, the value of the fraction remains unchanged, This is an evident consequence of the combination of the two preceding propositions,... | |
| Warren Colburn - 1827 - 186 σελίδες
...Note. It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will... | |
| Warren Colburn - 1828 - 330 σελίδες
...a5. The 3d root of a* is a*. The 5th root of a^ b* is a** b*°. If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the... | |
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