| John Playfair - Euclid's Elements - 1842 - 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** oi magnitudes, as the first is to the last of the others ; Of this there are the two following kinds,... | |
| John Playfair - Euclid's Elements - 1844 - 338 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,... | |
| John Playfair - Euclid's Elements - 1846 - 334 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** oi magnitudes, as the first is to the last of the others ; Of this there are the two following kinds,... | |
| Euclides - 1855 - 262 pages
...to its excess above the fourth. — Prop E. Book V. XVIII. Ex œquali (se. distantiâ], or ex œquo, **from equality of distance : when there is any number...magnitudes, as the first is to the last of the others** : " Uf this there are the two following kinds, which arise from the different order in which the magnitudes... | |
| Euclides - 1860 - 288 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...is to the last of the first rank of magnitudes, as** theirs* is to the last of the others : — of this there are the two following kinds, which arise from... | |
| Euclides - 1861 - 464 pages
...distance; when there is any number of magnitudes more than two. and as many others such that they arc **proportionals when taken two and two of each rank...the last of the others. Of this there are the two** kinds, in definitions 19 and 20, which arise from the different order in which the magnitudes are taken... | |
| Euclides - 1863 - 122 pages
...txguali (sc. distuntid), or ex tcquo, from equality of distance: when there is any number of magnitndes **more than two, and as many others, such that they...that the first is to the last of the first rank of** magnitndes, as the first is to the last of the others. "Of this there are the two following kinds,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the second, as the third is to its excess above the fourth. VE 18. Ex cequall distantia, or ex aqua, **from equality of distance ; when there is any number...first is to the last of the others. Of this there** arc the two following kinds, which arke from the different order in which the magnitudes are taken,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the second, as the third is to its excess above the fourth. VE 18. Ex ccquali distantia, or ex cequo, **from equality of distance; when there is any number...two and two of each rank, and it is inferred, that** tho first is to the last of the first rank of magnitudes, as the first is to the last of the others.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equality of distance ; used when there is any number of magnitudes more than two and as many others so **that they are proportionals when taken two and two...is to the last of the others. Of this there are the** following two kinds which arise from the different order in which the magnitudes are taken, two and... | |
| |