 | Euclides - 1846 - 292 pages
...taken separately, be proportionals, tItey 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 - 1848 - 52 pages
...magnitudes, 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.... | |
 | University of Durham - Education, Higher - 1851 - 222 pages
...To describe an isosceles triangle having each angle at the base double the angle at the vertex. 1 2. 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 is the same multiple or part of the fourth. 13. Give Euclid's definition... | |
 | Euclides - Geometry - 1853 - 176 pages
...taken separately, be proportionals, they shall also bе 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.... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 - 1855 - 230 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 tliird and fourth together to the fourth.... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...therefore, as has been demonstrated, A : C : : B : D and inversely (A. 5.) C : A : : D : B. PROP. C. THEOR. If the first be to the second as the third to the fourth; and if the firi.t be a multiple or a part of the second, the third is the same multiple or the same part of the... | |
 | Eucleides - 1860 - 396 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, Plane - 1860 - 380 pages
...magnitudes, taken separately, be proportionals, they shall also be froportionals 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, at the third and fourth together to the fourth.... | |
 | Euclides - 1861 - 464 pages
...made use of, and " is necessary to the 4th and 6th propositions of the 10th Book." PROP. D. — THEOn. 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 is the same multiple or the same part of the fourth. Cos.— Pst.1,V.... | |
| |
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... 
