 The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple...  Manual of Euclid. Books IV. V. VI. - Page 28by Euclid - 1859Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...Euclid, " The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | John Mason Good - 1813 - 714 pages
...5. The first of four magnitudes is enid to hav<? the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Euclides - 1816 - 588 pages
...other. y. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | George Crabb - Industrial arts - 1823 - 704 pages
...: 5. The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth : if the multiple of the first... | |
 | James Ryan - Algebra - 1824 - 550 pages
...Euclid. The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth, if the multiple of the first... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...Euclid. The first of four magnitudes is said to have the same ratio to the second which the third has to the. fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth, if the multiple of the first... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...thus : The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equi-multiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth being taken, the equi-multiples... | |
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