 | Robert Simson - Trigonometry - 1762 - 488 pages
...magnitudes (taken as in the 5 th Definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than...the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and on the contrary, the third... | |
 | Joseph Fenn - Mathematics - 1769 - 524 pages
...of the equimultiples of four magnitudes (taken as in the cth definition) the multiple of the firfl is greater than that of the fécond, but the multiple...greater than the multiple of the fourth ; then the firfl is faid to have to the fécond a greater ratio than the third magnitude has to the fourth, and... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than...multiple of the fourth ; then the firft is faid to have tp the fecond a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the... | |
 | Euclid - 1781 - 552 pages
...magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than...the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...of v. the firft exceeds the multiple of the fecond, but the multiple of ' the third does not exceed the multiple of the fourth ; then the firft is faid to have to the fecond a greater ratio than the third to the fourth. 8. And proportion is a fimilitude of ratios. 9.... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple of the fourth ; then the firft is laid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and, on the... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...magnitudes (taken as in the 5th Definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than...the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and on the contrary, the third... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than...the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...magnitudes (taken as in the fifth definition) the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ; and,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...magnitudes (taken as in the fifth definition) the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ; and,... | |
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When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have... 
