 | Euclides - 1821 - 294 pages
...subfriplicate, SfC. sesquialterate or sesquiplicate. If several magnitudes be in continued proportion, the ratio of the first to the second is said to be subduplicate of the ratio of the first to the third, and so on. If there be three magnitudes proportional... | |
 | Euclides - 1842 - 316 pages
...fourth, the first is said to have to the second, the same ratio which the third has to the fourth ; or, the ratio of the first to the second is said to be equal to the ratio of the third to the fourth. Definition of proportion according to Euclid, (Def. V., Book " The first of four magnitudes is said... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...greater than that of the second and the multiple of the third not greater than that of the fourth, the ratio of the first to the second is said to be greater than that of the third to the fourth ; and the ratio of the third to the fourth is said to... | |
 | Henry Martyn Taylor - 1895 - 708 pages
...greater than that of the second and the multiple of the third not greater than that of the fourth, the ratio of the first to the second is said to be greater than that of the third to the fourth ; and the ratio of the third to the fourth is said to... | |
 | Euclid - 1904 - 488 pages
...triangle. Definition 5. Four quantities are in proportion, when the ratio of the first to the second is equal to the ratio of the third to the fourth. When the ratio of a to b is equal to that of x to y, the four magnitudes are called proportionals. This is expressed... | |
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... one another. DEFINITION 7. If it be possible to take equimultiples of the first and the third of four magnitudes and equimultiples of the second and the fourth, such that the multiple of the first is greater than that of the second and the multiple... 