 | John Playfair - Euclid's Elements - 1836 - 488 pages
...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 dm contrary, the third is said to have to the fourth a fess-ratio than the first has to the second.... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 lets ratio than the first has to the second. 15. When there is any number... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 than the first has to the second. VIII. " Analogy, or proportion,... | |
 | Oliver Byrne - Mathematics - 1841 - 140 pages
...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 than the first has to the second. If, among the equimultiples... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...jhird 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 than the first has to the second. 8. When there is any number... | |
 | Euclid - Geometry - 1845 - 218 pages
...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 than the first has to the second. VIII. 'Analogy, or proportion,... | |
 | Euclides - 1845 - 546 pages
...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 than the first has to the second. VIII. " Analogy, or proportion,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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 than the first has to the second. 8. When there is any number... | |
 | Euclides - 1848 - 52 pages
...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 than the first has to the second. VIII. IX. Proportion consists... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 than the first has to the second. VIII. Analogy, or proportion,... | |
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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... 
