 | George Sturton Ward - Geometry, Algebraic - 1862 - 104 pages
...taken separately, be proportionals, they shall also be proportionals when taken jointly ; that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second as the third and fourth together to the fourth.... | |
 | Euclides - 1864 - 448 pages
...taken separatelg, be proportionals, theg shall also be proportionals when taken jointlg : that is, if the first be to the second, as the third to the fourth, the first and second togcther shall be to the second, as the third and fourth togcther to the fourth.... | |
 | Euclides - 1865 - 402 pages
...tahen separately, be proportionals, they shall also be proportionals when tahen jointly ; that is, if the first be to the second, as the third to the fourth ; then the first and second together shall be to the second, as the third and fourth together to the... | |
 | Robert Potts - 1865 - 528 pages
...magnitudes, taken separately, be proportionals, they shall aha be proportionals when taken jointly : that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as ihe third and fourth together to the fourth.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...taken separately, be proportionals, they shall also be proportionals when taken jointly; that is, {f the first be to the second as the third to the fourth, the first and second together shall be to the second as the third and fourth togetlter to the fourth.... | |
 | Robert Potts - 1868 - 434 pages
...magnitudes, taken separately, be proportionals, they thatl also be proportionals when taken jointly: that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as the third and fourth together to the fourth.... | |
 | Charles Lutwidge Dodgson - 1874 - 96 pages
...multiple, part, or fraction, of the second, as the third is of the fourth. Quod est tautologicum. PROP. D. If the first be to the second as the third to the fourth : then, if the first be a multiple or part of the second, the third is the same multiple or part of... | |
 | Euclid, Lewis Carroll - Euclid's Elements - 1874 - 80 pages
...multiple, part, or fraction, of the second, as the third is of the fourth. Quod est tautologicum. PROP. D. If the first be to the second as the third to the fourth : then, if the first be a multiple or part of the second, the third is the same multiple or part of... | |
 | Euclides - 1874 - 342 pages
...taken separately, be proportionals, they shall also be proportionals when taken jointly ; that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as the third and fourth together to the fourth.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...Cis to JD. (v. B.) Therefore, if the first be the same multiple, &c. QEII. PROPOSITION D. THEOREM. If the first be to the second as the third to the fourth, and if the first be a multiple, or a part of the second ; the third it the tame multiple, or the tame ].urt of the fourth. Let A be to... | |
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IF the first be to the second as the third to the fourth, and if the first be a multiple, or part of the second; the third is the same multiple, or the same part of the fourth... 
