 | Euclides - 1841 - 378 pàgines
...magnitudes are pro' portionals, it is usually expressed by saying, the ' first is to the second, as the third to the fourth.' 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... | |
 | Oliver Byrne - 1841 - 144 pàgines
...от | j ç-, — or -j M ••• D : О = D : 0 (5> def- v). . Equal magnitudes, &c. DEFINITION 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... | |
 | Euclides - 1845 - 546 pàgines
...four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' 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... | |
 | Euclid - 1845 - 218 pàgines
...magnitudes are propor'tionals, it is usually expressed by saying, the first is ' to the second, as the third to the fourth.' 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... | |
 | Euclides - 1848 - 52 pàgines
...four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.'. 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... | |
 | Euclides - 1853 - 176 pàgines
...four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth. 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... | |
 | Euclides - 1855 - 270 pàgines
...magnitudes such as are supposed in the preceding definition, which constitutes the test of proportionality. 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 jecond, but the multiple of... | |
 | Robert Potts - 1860 - 380 pàgines
...four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' 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... | |
 | Euclides - 1861 - 464 pàgines
...in the manner of a fraction ^ = тл , indicating the division of the antecedent by the consequent. 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... | |
 | George Sturton Ward - 1862 - 104 pàgines
...: b :: b : с :: с : d, &c. ; a, b, e, d, &c. are said to be continued or continual proportionals. 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... | |
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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... 
