 | Euclides - 1826 - 226 pages
...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 is to the secoud as the third is to the fourth." and fourth,... | |
 | James Ryan - Algebra - 1826 - 430 pages
...equal to that of tbe tourth ; or if the multiple of the first he greater than that of the second, (he multiple of the third is also greater than that of the fourth. SCHOLIUM. We shall demonstrate towards the close of this essay, that this definition of Euclid's and... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 fourth : or, if... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...fourth; or, if the multiple of the first be eqnal tothat of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be :, •• ii,-r than that of the secomd, the multiple of the third is abo greater than that of the... | |
 | Euclides - 1834 - 518 pages
...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 : or, if the multiple...the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals. ' NB When four magnitudes are proportionals,... | |
 | Mathematics - 1835 - 684 pages
...or, if the multiple of the first be eq-ial to that of the second, the 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... | |
 | Euclid - 1835 - 540 pages
...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 fourth ; Book IV.... | |
 | William Whewell - 1837 - 226 pages
...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 the multiple of the second, the multiple of the third is also equal to that of the fourth... | |
 | Euclid - Geometry - 1838 - 470 pages
...multiple of the first be equal to that of the second, the multiple of the third is also equal to tl&t of the fourth ; or, if the multiple of the first be...the third is also greater than that of the fourth. VI. Magnitudes which [have the same ratio are called proportionals. NB ' When four magnitudes are proportionals,... | |
 | James Ryan - Algebra - 1838 - 412 pages
...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 ; or if the multiple of...the multiple of the third is also greater than that ofs the fourth. SCHOLIUM. We shall demonstrate towards the close of this essay, that this definition... | |
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... 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... 
