 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. - Σελίδα 29των Euclid - 1859Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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,... | |
 | Robert Potts - 1868 - 434 σελίδες
...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... | |
 | Archibald Sandeman - 1868 - 486 σελίδες
...CONTINUEDLY PROPORTIONATE or IN A CONTINUED PROPORTIONALITY. 246. Def. The first of four magnitudes is said to have to the second a GREATER RATIO than the third has to the fourth when the first is greater than some fraction of the second but the third is not greater than the same... | |
 | Edward Wyndham Tarn - 1871 - 244 σελίδες
...multiple of the second, the multiple of the third is also greater, equal to, or less than the multiple of the fourth ; then the first is said to have to the second the same ratio or proportion as the third has to the fourth. Magnitudes which have the same ratio to... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...multiple of the second, but the multiple of the third is not greater than [or is less than] the multiple of the fourth, then the first is said to have to the...a greater ratio, than the third has to the fourth. NOTE 6. The meaning of Def. vn. may be expressed, after taking the scales of multiples as in the explanation... | |
 | Charles Lutwidge Dodgson - 1874 - 96 σελίδες
...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. VIII.... | |
 | Euclid, Lewis Carroll - 1874 - 80 σελίδες
...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. VIII.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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 than the third to the fourth ; or, which is the same thing, the ratio of the third to the fourth is said to be less... | |
 | Euclides - 1874 - 342 σελίδες
...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 - 1876 - 446 σελίδες
...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... | |
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