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" When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth; then the first is said to have... "
An Elementary Treatise on Algebra: Theoretical and Practical - Σελίδα 490
των James Ryan - 1824 - 516 σελίδες
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...by faying, the firft is to the fecond, as the «third to the fourth.' VII. When pf the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple...

The First Six Books: Together with the Eleventh and Twelfth

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...faying, the firft is to the fecond, a« sfcft * third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...D, and to write them thus,. A : B : : C : D, or thus, A : B = C : D. VII. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...by saying, the first is to the second, as the third to < the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition)...but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...to D, and to write them thus, A : B : : C : D, or thus, A : B=C : D." VII. When of the equimultiples of four magnitudes (taken as in the fifth definition)...but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the...

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Euclid - 1810 - 554 σελίδες
...second, as the third to ' the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the the fifth definition) the multiple of the first is...but the multiple of the third is not greater than the multiple of the fourth; then the first is said to have to the second a greater ratio than the third...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...expressed by saying, the first is to the second, as the third to the fourth. 7. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the first is greater than chat of the second, but the multiple of the third is not greater than the multiple of the fourth; then...

A Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815 - 686 σελίδες
...equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth : then, the first X)f the four magnitudes...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...saying", the first is to the ' second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),'...but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...writs them thus, A • B • • « C : D, or thus, A : B = C : D." VII. When of the equimultiples of four magnitudes, taken as in the. fifth definition,...but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the...




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