 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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. 8. ' Analogy, or proportion,... | |
 | Euclides - 1855 - 270 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. This definition becomes plain... | |
 | Euclides - 1855 - 230 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. 8. Analogy or proportion... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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. vm. " Analogy, or proportion,... | |
 | Eucleides - 1860 - 396 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. 8. Analogy or proportion... | |
 | Euclides - 1861 - 464 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. A greater ratio exists, if... | |
 | Euclides - 1863 - 122 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,... | |
 | Euclides - 1864 - 448 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. VEIL " Analogy, or proportion,... | |
 | Euclides - 1865 - 402 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. vrn Analogy, or proportion,... | |
 | Robert Potts - 1868 - 434 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. IX. Proportion consists... | |
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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... 
