 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
 | Euclides - 1855 - 230 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 ratio... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Eucleides - 1860 - 396 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 ratio... | |
 | Euclides - 1861 - 464 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... | |
 | George Sturton Ward - Geometry, Algebraic - 1862 - 104 pages
...second, but the multiple of the third is not greater than that of the fourth ; then the first magnitude is said to have to the 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... | |
 | Euclides - 1863 - 122 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... | |
 | Euclides - 1864 - 448 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... | |
 | Euclides - 1865 - 402 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... | |
 | Robert Potts - 1865 - 528 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 : ami, on the contrary, the third is said to have to the fourth a less... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...greater than the multiple 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 has to the fourth ; and the third is said to have to the fourth a less ratio than the first has to the second. 8. Analogy,... | |
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