 | Euclid - 1859 - 150 σελίδες
...the multiple of the first exceeds that of the second, but the multiple of the third does not exceed that of the fourth; then the first is said to have...a greater ratio than the third has to the fourth. Annotation. DEFINITION XIV. "Opoç ii'. — -Aváira\iv \oyoç larl XijJ/tC TOV iiropivov ¿íç 177011JJií.VOV... | |
 | Eucleides - 1860 - 396 σελίδες
...7. 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 ratio than the... | |
 | Robert Potts - 1860 - 380 σελίδες
...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 ratio than the... | |
 | Euclides - 1861 - 464 σελίδες
...— 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 ratio than the... | |
 | George Sturton Ward - 1862 - 104 σελίδες
...to that of the fourth ? If not, why? 18. If, particular equimultiples being taken, the multiple of the first is greater than that of the second, but the multiple of the third not greater than that of the fourth ; has the first necessarily a greater ratio to the second than... | |
 | Euclides - 1863 - 122 σελίδες
...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 ratio than the third... | |
 | Euclides - 1864 - 448 σελίδες
...vn. 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 ratio than the... | |
 | Euclides - 1865 - 402 σελίδες
...VIL 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 ratio than the... | |
 | Robert Potts - 1865 - 528 σελίδες
...vn. "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 ratio than the... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...magnitudes, taken as in the fifth definition, the multiple of the first is 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... | |
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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... 
