| Robert Simson - 1806 - 546 σελίδες
...exceed the 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...equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| Sir John Leslie - 1809 - 542 σελίδες
...According to 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...equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| Sir John Leslie - 1809 - 522 σελίδες
...According to 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...being taken, and any equimultiples whatsoever of the aecmxd and fourth ; if the multiple of the first be less than that of the second, the multiple of the... | |
| John Mason Good - 1813 - 714 σελίδες
...exceed the other; 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...equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| Euclides - 1816 - 588 σελίδες
...exceed the 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...equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| Sir John Leslie - 1817 - 456 σελίδες
...According to 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...equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| Euclid - 1822 - 222 σελίδες
...defines them thus: The Jirst 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 Jirst and third being taken, and any equi-multiples whatsoever of the second and fourth being taken,... | |
| George Crabb - 1823 - 704 σελίδες
...as 6 : 2 : : 15 : 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...equimultiples whatsoever of the second and fourth : if the multiple of the first be less than that of the third, the multiple of the second is also less... | |
| James Ryan, Robert Adrain - 1824 - 542 σελίδες
...according to 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...equimultiples whatsoever of the second and fourth, if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
| James Ryan - 1824 - 550 σελίδες
...according to 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...equimultiples whatsoever of the second and fourth, if the multiple of the first be less than that of the second, the multiple of the third is also less... | |
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