 | Robert Simson - Trigonometry - 1762 - 488 pages
...there is any number of magnitudes more than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the firft is to the laft of the firft rank of magnitudes, as the firft is to the laft of the others. '... | |
 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...there is any Number of Magnitudes more than two, and as many others fo that they are Proportionals when taken two and two of each Rank, and it is inferred, that the firft is to the laft of the firft Rank of Magnitudes, as the firft is to the hit of the others. —Of... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...there is any number of magnitudes more than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the ftrit is to the laf t of the ftdt rank of magnitudes, as the firft i's to the laft of the others: «... | |
 | Euclid - 1781 - 552 pages
...there is any number of magnitudes more than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the firfl is to the laft of the firft rank of magnitudes, as the firft is to the laft of the others: '... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...the firft is to the laft of the others. ' of this there arc the two following kinds, which ' arife from the different order in which the magnitudes are ' taken two and two.' XIX. Ex aequali, from equality ; this term is ufed fimply by itfelf, when the firft magnitude is to... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...there is any number of magnitudes' more than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the firft is to the laft of the firft rank of magnitudes, as the firft is to the laft of the others : Of... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...there is any number of magnitudes wore than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the firft is to the laft of the firft rank of magnitudes, as the firft is to the laft of the others : Of... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...there is any number of magnitudes more than two, and as many others, fo that they are proportionals when taken two and two of each rank, and it is inferred, that the firft is to the laft of the firft rank of magnitudes, as the firft is to the laft of the others. «... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 firet is to the last of the first rank of magnitudes, as the first is to the last of the others: '... | |
 | Euclid - Geometry - 1810 - 554 pages
...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,...which arise from the different order in which the magni' tudes are taken two and two.' XIX. Ex aequali, from equality; this term is used simply by itself,... | |
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each rank, and it is inferred that the " first is to the last of the first rank of " magnitudes, as the first is to the last of " the others. Of this there are the two " following kinds, which arise from the ** different order in which the magnitudes... 
