 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...  A Treatise on Algebra - Page 332by George Peacock - 1830 - 685 pagesFull view - About this book
 | John Playfair - Mathematics - 1806 - 320 pages
...A : B=C : D." VII. 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 to the second a greater... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...< the fourth.' VII. 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 to the second a greater... | |
 | Charles Hutton - Astronomy - 1815 - 686 pages
...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... | |
 | Euclides - 1816 - 588 pages
...the fourth.' VII. 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 to the second a greater... | |
 | John Playfair - 1819 - 354 pages
...: B = C : D." VII. 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 to the second a greater... | |
 | John Mason Good - 1819 - 910 pages
...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 of the four magnitudes... | |
 | Euclid - 1822 - 222 pages
...This definition is substituted for the following: •When of the equi-multiples of four quantities, 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 to the second a greater... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...according to Euclid. When of the equimultiples of four magnitudes, (taken as in the fifth detinition) the multiple of the first is greater than that of the second, but the multiple of the third is not greater than that of the fourth ; then the first is said to have to the second a greater ratio... | |
 | James Ryan - Algebra - 1824 - 550 pages
...according to Euclid. When of the equimultiple" 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 that of the fourth ; then the first is said to have to the second a greater ratio... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...to the fourth/ VII. 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 to the second a greater... | |
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