| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...first rank as the last but two to the last but one of the other rank, and so on in a cross order ; **and it is inferred that the first is to the last of the first rank** as the first is to the last of the other rank. XXI. If A, B, C, D, be any number of magnitudes of the... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...equality of diittnce; when there is any number of magnitudes more than two, and as many others, so **that they are proportionals when taken two and two of each rank, and it is inferred, that the first** ig to the last of the first rank of magnitudes, as the first is to the last of the others : ' Of this... | |
| James Ryan - Algebra - 1826 - 430 pages
...equality of distance, when there is any number of magnitudes more than two, and as many others, so **that they are proportionals when taken two and two...last of the first rank of magnitudes as the first is** t» the last of the others : of this there are the two following kinds, which arise from the different... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...from equality of distance when there is any number of magnitudes more than two, and as many others, so **that they are proportionals when taken two and two...and it is inferred, that the first is to the last of** Ihe first rank of magnitudes, as the first is to the last of the others: 'Of this there are the two... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...equality of distance, when there is any number of magnitudes more than two ; and as many others, so **that they are proportionals when taken two and two...the last of the others : ' Of this there are the two** fol' lowing kinds, which arise from the different order in which ' the magnitudes are taken two and... | |
| Euclid - 1835 - 540 pages
...equality of distance, when there is any number of magnitudes more than two; and as many others, so **that they are proportionals when taken two and two...the last of the others : ' Of this there are the two** fol' lowing kinds, which arise from the different order in which ' the magnitudes are taken two and... | |
| Mathematics - 1836 - 488 pages
...equality of distance ; when there is any number of rnagni. ludes more than two, and as many others, so **that they are proportionals when taken two and two...first is to the last of the first rank of magnitudes,** ;is the first is to the last of the others. Of this there are the two following kinds which arise from... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...equality of distance ; when there is any number of magnitudes more than two, and as many others, so **that they are proportionals when taken two and two...inferred, that the first is to the last of the first rank** ol magnitudes, as the first is to the last of the others ; Of this there are the two following kinds,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...difference. 28. By equality, when there is any number of magnitudes more than two, and as many others, so **that they are proportionals when taken two and two of each rank, and it is inferred — that** ihejirst is to the last of the first rank of magnitudes, as fae first is to the last of the others:... | |
| Euclides - Geometry - 1841 - 378 pages
...third to its excess above the fourth. Prop. E. Book 5. XVIII. Ex tequali (sc. distantia), or ex teguo, **from equality of distance; when there is any number...the last of the others: ' Of this there are the two** follow' ing kinds, which arise from the different order in ' which the magnitudes are taken two and... | |
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