 | John Mason Good - 1813 - 714 pages
...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, on the contrary, the third is said to have to the fourth a les» ratio than the first has to the second. 8. Analogy, or proportion,... | |
 | Euclides - 1816 - 588 pages
...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, on the contrary, the third is said to haye ,to the /ourth a less ratio than the first has to the second. Vlll. . . Analogy, or proportion,... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. When there is any number... | |
 | John Mason Good - 1819 - 800 pages
...thu Ikt multiple of the fourth; then the first iisudlt have to the second a greater ratio than Ihe third magnitude has to the fourth ; and on the contrary, the third is said to have to the fourth » leu ratio than the first has to the second. 8. Analogy, or proportion,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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, on the contrary, the third is said to hare to the fourth a less ratio than the first has to the second. VIII. ' Analogy, or proportion,... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...third is not greater than the multiple of the fourth ; then the first is said to have to the seeond a greater ratio than the third magnitude has to the fourth; and, on the eontrary, the third is said to have to the fourth a kss ratio than the first has to the seeond. VIII.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. " Analogy or proportion... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...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, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. (451) VIII. 'Analogy orproportion... | |
 | Euclid - 1835 - 540 pages
...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, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. ' Analogy, or proportion,... | |
 | Mathematics - 1836 - 488 pages
...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 on the contrary, the third is said to have to the fourth a less ratio then the first has to the second. 8. When there is any number... | |
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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... 
