 | John Playfair - Mathematics - 1806 - 320 pages
...ratio to one another. V. If there be fo.ur magnitudes, and if any equimultiples what- Set N. soever be taken of the first and third, and any equimultiples...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...only such magnitudes that are said to have a ratio to one another. V. If there be four magnitudes, and if any equimultiples whatsoever be taken of the first...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...only sueh magnitudes that are said to hare a ratio to one another. V. If there be four magnitudes, and if any equimultiples whatsoever be taken of the first and third, and any equimultiple's whatsoevo^of ' • '-• the seeond and fourth, and if, aeeording as the multiple of... | |
 | George Peacock - Algebra - 1830 - 732 pages
...respectively, whether lines, or areas, or solids, which proportion. form the terms of a proportion, and if any equimultiples whatsoever be taken of the first and third, and any equimultiples whatsoever be taken of the second and fourth, then if the multiple of the first be greater than the multiple of... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...a ratio to one another. V. If there be four magnitudes, and if any equimultiples whatsoever betaken of the first and third, and any equimultiples whatsoever...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
 | Perry Fairfax Nursey - Industrial arts - 1833 - 502 pages
...second a greater ratio than the third has to the fourth. Dr. Simson, it is true, has demonstrated that the multiple of the first is greater than the multiple of the second, while the multiple of the third is less than the multiple of the fourth. And this is all very well... | |
 | Mathematics - 1836 - 488 pages
...magnitudes that are said to have the same ratio to one another. 5. If there be four magnitudes, and if any equimultiples whatsoever be taken of the first...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...J ,,r ..i'Ki-..J» "'••• -I -V/t If there be four magnitudes, and if any equimultiples See N. whatsoever be taken of the first and third, and any...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of .the fourth, equal to it, or less ;... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...equi-multiples whatsoever be taken of the first and second, and any equi-multiples whatsoever of the third and fourth ; and if, according as the multiple of...the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...first and second, and any equi-multiples whatsoever of the third and fourth ; and if, according aa the multiple of the first is greater than the multiple of the second, equal to it, or less, the multiple of the third is also greater than the multiple of the fourth, equal to it, or less ; then... | |
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If there be four magnitudes, and if any equimultiples whatsoever be taken of the first and third, and any equimultiples whatsoever of the second and fourth, and if, according as the multiple of the first is greater than the multiple of the second, equal... 
