 | James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...separately be proportionals, they shall also be proportionals when taken jointly ; that is, if the first be to the second as the third is to the fourth, the first and second together shall be to the second as the third and fourth together to the fourth. DEMONSTRATION.... | |
 | Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...statement by placing $10, which is of the same kind with the answer required, on the right of the line. If the first term be to the second as the third is to the fourth, then the second is to the first as the fourth is to the third ; J^=f£=2, and the third is to the first... | |
 | Oliver Byrne - Mathematics - 1841 - 140 pages
...separately, be proportionals, they shall also be proportionals when taken jointly : that is, if the first be to the second as the third is to the fourth, the first and second together shall be to the second as the third and fourth together is to the fourth. then... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...inversely, AE : EB :: CF : FD (b). Wherefore, if the sum of two magnitudes, &c. QED 18 Th. If the first be to the second as the third is to the fourth, the sum of the first and second shall be to the second, as the sum of the third and fourth is to the fourth.... | |
 | Euclides - 1861 - 464 pages
...proportionals. the;/ shall also be proportionals when taken jointly, by composition; that is, if the first be to the second, as the third is to the fourth, the first tend second together shall be to the second, as the third and fourth together to ti,e fourth. " If... | |
 | Archibald Sandeman - Algebra - 1868 - 500 pages
...proportionalities (art. 269)^ :B = D:C. 274. PROP. If of four magnitudes of the same kind the first be to the second as the third is to the fourth the first is to the third as the second to the fourth. (EuCL.v. 16). Let ABCD be four magnitudes of the same... | |
 | Euclid, Lewis Carroll - Euclid's Elements - 1874 - 80 pages
...separately, be proportionals : they are also proportionals when taken jointly. That is — If the first be to the second as the third is to the fourth : the first and second together are to the second as the third and fourth together are to the fourth. [If the first... | |
 | Charles Lutwidge Dodgson - 1874 - 96 pages
...separately, be proportionals : they are also proportionals when taken jointly. That is — If the first be to the second as the third is to the fourth : the first and second together are to the second as the third and fourth together are to the fourth. [If the first... | |
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That is — If the first be to the second as the third is to the fourth : the first and second together are to the second as the third and fourth together are to the fourth. 