 | John Mason Good - 1819 - 800 pages
...first is to the second, as the third W the fourth. 7. When of Iheequiiniiltiplesoffournisgrnihidri (taken as in the fifth definition) the multiple of the first is greater tnan that of the second, but the multiple of the third is not greater thu Ikt multiple of the fourth;... | |
 | John Mason Good - 1819 - 910 pages
...equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth : then, the first of the four magnitudes... | |
 | Euclid - 1822 - 222 pages
...This definition is substituted for the following: •When of the equi-multiples of four quantities, the multiple of the first is greater than that of...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...by saying, the first is to the se' rmiil, as the third to the fourth/ VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),...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, John Playfair - Euclid's Elements - 1826 - 326 pages
...and to write them thus, A : B " • •• * C:Dlorthn8)A:B = C:D.'3 VII. When of the equimultiples of four magnitudes, taken as in the fifth definition,...multiple of the first is greater than that of the seeond, hut the multiple of the third is not greater than the multiple of the fourth ; then the first... | |
 | Euclid - 1826 - 234 pages
...equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth ; then, the first of the four magnitudes... | |
 | Euclides - 1826 - 226 pages
...equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth; then, the first of the four magnitudes... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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),...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... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...A : B : : a : b or A : B = a : b, or more shortly, I = f. • (450) VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),...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 Peacock - Algebra - 1830 - 732 pages
...shew that there are some equimultiples of the first and fifth, and also of the second and sixth, where the multiple of the first is greater than that of the second, but the multiple of the fifth not greater than that of the sixth : a conclusion by no means self evident, but requiring the... | |
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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... 
