 | Robert Simson - Trigonometry - 1775 - 534 pages
...by faying, the firft is to the fecond, as the «third to the fourth.' VII. When pf the equimultiples of four 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... | |
 | Euclid - 1781 - 552 pages
...faying, the firft is to the fecond, a« sfcft * third to the fourth.' VII. When of the equimultiples of four 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...D, and to write them thus,. A : B : : C : D, or thus, A : B = C : D. VII. When of the equimultiples of four 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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...by saying, the first is to the second, as the third to < the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition)...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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...to D, and to write them thus, A : B : : C : D, or thus, A : B=C : D." VII. When of the equimultiples of four magnitudes (taken as in the fifth definition)...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... | |
 | Euclid - Geometry - 1810 - 554 pages
...second, as the third to ' the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the the fifth definition) the multiple of the first is...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... | |
 | John Mason Good - 1813 - 714 pages
...expressed by saying, the first is to the second, as the third to the fourth. 7. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the first is greater than chat of the second, but the multiple of the third is not greater than the multiple of the fourth; then... | |
 | Charles Hutton - Astronomy - 1815 - 686 pages
...equal to that of the second, the 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 X)f the four magnitudes... | |
 | Euclides - 1816 - 588 pages
...saying", the first is to the ' second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),'...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... | |
 | John Playfair - 1819 - 354 pages
...writs them thus, A • B • • « C : D, or thus, A : B = C : D." VII. When of the equimultiples of four magnitudes, taken as in the. fifth definition,...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... | |
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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... 
