 ... if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth ; or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the...  Elementary Algebra - Page 253by James Hamblin Smith - 1870Full view - About this book
 | Euclides - 1834 - 518 pages
...whatsoever of the first and third being taken, and any equimultiples whatsoever of the second arid rt fourth, if the multiple of the first be less than that of li T.* • * the second, the multiple of the third is also lets than that vl. 3 -Z. of the fourth :... | |
 | Euclid - 1835 - 540 pages
...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...or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; Book IV. or, if the multiple... | |
 | Mathematics - 1835 - 684 pages
...multiple of the third is also equal to that of the fourth ; or, if the multiple of the lirst be greater than that of the second, the multiple of the third is also greater than that of the fourth." — Eue. v. deí. 5. This définition of proportionals has been sometimes... | |
 | John Hind - Algebra - 1837 - 584 pages
...there being taken any equimultiples whatever of the first and third, and any equimultiples whatever of the second and fourth : if the multiple of the first be greater than the multiple of the second, the multiple of the third will be greater than that of the... | |
 | William Whewell - 1837 - 226 pages
...multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. Ratio is the relation of quantities in respect of proportion, so that... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...taken, and any equimultiples whatever of the second anA fourth ; if the multiple of thejirst be greater than that of the second, the multiple of the third is also greater than that of the fourth ; if equal, equal ; and if less, less." This conclusion has been established... | |
 | Oliver Byrne - Mathematics - 1841 - 144 pages
...multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. In future we shall express this definition generally, thus : — If... | |
 | Euclides - Geometry - 1841 - 378 pages
...multiple of the third is also equal to that of the fourth; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VL Magnitudes which have the same ratio are called proportionals.... | |
 | Euclides - 1842 - 316 pages
...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 be equal to, greater " than, or less than the multiple of the second, the multiple " of the third is also... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. 1 50. If quantities be proportional according to the algebraical definition,... | |
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