 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...  Manual of Euclid: Books IV, V, VI. - Page 29by Euclid - 1868Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to have to the fourth a less... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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 ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to have to the fourth a less... | |
 | John Mason Good - 1813 - 714 pages
...is greater than chat 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 ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to have to the fourth a les»... | |
 | Charles Hutton - Astronomy - 1815 - 686 pages
...magnitudes be greater, when compared to the second, than the third is when compared to the fourth, the first is said to have to the second a greater ratio than the third has to the fourth." " -I. It the first of four magnitudes be less, when compared to the second, than the third is when... | |
 | Euclides - 1816 - 588 pages
...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 ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to haye ,to the /ourth a less... | |
 | John Playfair - 1819 - 354 pages
...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 ratio than the third magnitude has to the fourth ; and, on the contrary, the third is- said to have to the fourth a less... | |
 | John Mason Good - 1819 - 910 pages
...magnitudes be greater, when compared to the second, than the third is when compared to the fourth, the first is said to have to the second a greater ratio than the third has to the fourth. " 4. If the first of four magnitudes be less, when compared to the second, than the third is when compared... | |
 | Euclid - 1822 - 222 pages
...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...second a greater ratio than the third has to the fourth ; and on the contrary the third is said to have to the fourth a less ratio than the first has to the... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...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...second a greater ratio than the third has to the fourth ; and, on the contrary, the third is said to have to the fourth a less ratio than the first has to... | |
 | James Ryan - Algebra - 1824 - 550 pages
...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...second a greater ratio than the third has to the fourth ; and, on the contrary, the third is said to have to the fourth a less ratio than the first has to... | |
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