 | Robert Simson - Trigonometry - 1781 - 534 pages
...magnitudes' are proportionals, it Is ufually ' exprefled by faying, the firft is to the fecond, as the third to ' the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the $th Definition) the multiple of the firft is greater than that of the fecond, but the multiple of the... | |
 | Euclid - 1781 - 552 pages
...magnitudes are proportionals, it t| ' ufually exprefled by 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...to fay that A is to B as C 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) the multiple of the firft is greater than that of the fecond, but the multiple of... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...proportionals, it is ufually • exprefled by faying, the firft is to the fecond, as the third ta « the fourth.' VII. When of the equimultiples of four...multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple of the fourth ; then the firft... | |
 | Euclides - 1816 - 588 pages
...magnitudes are proportion' als, it is usually expressed 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),' the multiple of the first is greater than that of the second, but the multiple... | |
 | John Playfair - 1819 - 354 pages
...that A is to B HS C to D, and to 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, the multiple of the first is greater than that of the second, but the multiple of... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...magnitudes are pro' portionals, it is usually expressed ' by saying, the first is to the se' rmiil, as the third to the fourth/ VII. 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...magnitudes are pro' portionals, it is usually expressed 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), the multiple of the first is greater than that of the second, but the multiple of... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...= interposed between them thus, A : B : : a : b or A : B = a : b, or more shortly, I = f. • (450) VII. 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... | |
 | Euclid - 1835 - 540 pages
...magnitudes are proportionals, it is ' usually expressed 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,) the multiple of the first is greater than that of the second, but the multiple of... | |
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VII. 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... 
