 The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple...  Manual of Euclid: Books IV, V, VI. - Page 28by Euclid - 1868Full view - About this book
 | Euclid - 1835 - 540 pages
...other. y. The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Mathematics - 1835 - 684 pages
...• "The first of four magnitudes is said to have the same ratio tu the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the inulliple of the first... | |
 | Euclides - Geometry - 1841 - 378 pages
...IV. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first... | |
 | Oliver Byrne - Mathematics - 1841 - 140 pages
...— The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Euclides - 1842 - 316 pages
..." The first of four magnitudes is said to have the same ratio " to the second, which the third has to the fourth, when any " equimultiples whatsoever of the first and third being " taken, and any equimultiples whatsoever of the second and " fourth ; if the multiple of the... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...def. 5). The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsover of the second and fourth ; if the multiple of the first,... | |
 | Euclid - Geometry - 1845 - 218 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth, if the multiple of the first... | |
 | Euclides - 1845 - 546 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Euclides - 1848 - 52 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...other. 5. The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth, if the multiple of the first... | |
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