 IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...  Elements of Algebra with Exercises - Page 354by George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 478 pagesFull view - About this book
 | Robert Mudie - Mathematics - 1836 - 542 pages
...of the first divided by the second is equal to the quotient of the third divided by the fourth, then the first is to the second as the third is to the fourth, or the ratio of the first and second is equal to the ratio of the third and fourth ; because these... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of D the fourth ; then A... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth.* Let the first A be the same multiple of B the second that C the third is of the fourth D : A is to... | |
 | Euclides - Geometry - 1841 - 378 pages
...first be the same multiple of the second: or the same part of it, that the third is of the fourth; the first is to the second, as the third is to the fourth. Let A the first be the same multiple of B the second, that C the third is of D the fourth: A shall... | |
 | Oliver Byrne - Mathematics - 1841 - 144 pages
...first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth. Let Пр^Ц» the first, be the same multiple of Q, the second, that », the third, is of (, the fourth.... | |
 | Euclid - Geometry - 1845 - 218 pages
...first be the same multiple of the seecmd, or the same part of it, that the third is of the fourth, the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D : A is to... | |
 | Alfred Wrigley - 1845 - 222 pages
...of which the first three are in arithmetical progression, the last three in harmonical; prove that the first is to the second, as the third is to the fourth. 733. If y be the harmonic mean between x and z, and x and z be the arithmetic and geometric means respectively... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second as the third is to the fourth. 1 4 ABCD EGFH Let the first A be the same multiple of B the second, that C the third is of D the fourth;... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...5. C Th. If the first be the same multiple, or part of the second, that the third is of the fourth, the first is to the second as the third is to the fourth. der. And, first, let A, C be equimultiples Let A, B, C, D be the magnitudes, in or- A 1 E 1 1— of... | |
 | Euclides - 1846 - 292 pages
...are called proportionals. When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second as the third is to the fourth. vn. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of... | |
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