 IF 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...  A Treatise on the Elements of Algebra - Pàgina 128per Bewick Bridge - 1821 - 227 pàginesVisualització completa - Sobre aquest llibre
 | Euclid - 1765 - 492 pàgines
...ratio to B than E has to F. If therefore the firft of fix magnitudes has the fame ratio io the fecond, as the third to the fourth; and the third to the fourth has a greater ratio than the fifth to the fixth : then the firft to the fecond will have a greater... | |
 | Robert Simson - 1806 - 546 pàgines
...separately, be proportionals, see N. they shall also be proportionals when taken joindy, 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.... | |
 | John Playfair - 1806 - 320 pàgines
...taken separately, be proportionals, they will 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 will be to the second, as the third and fourth together to the fourth.... | |
 | John Mason Good - 1813 - 714 pàgines
...taken separately, he 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 he to the second, as the third and fourth together to the fourth.... | |
 | Charles Butler - 1814 - 528 pàgines
...both sides by bd, and (-—=—-, or) ~= 4-, that is,a:b::c:d. Euclid 17, 6. bd 61. If the first term be to the second, as the third to the fourth, and...as the fifth to the sixth, then will the first be to the second as the fifth to the sixth. Let a:b::c:d, and c : d : : e :f, then will a:b::e :f; for... | |
 | Thomas Leybourn - 1814 - 420 pàgines
...found to be 3/. i8.r. g</, Required thejate per cent, per annum. a. If the first of six magnitudes be to the second as the third to the fourth, and the fifth to the second as the sixth to the fourth; Prove that the first and fifth together will be to... | |
 | Charles Butler - 1814 - 540 pàgines
...or two more particulars will require an explanation. If four numbers are proportionals, that is, if the first be to the second as the third to the fourth, then will the first be to the third аз the second to the fourth; and this accounts for the usual... | |
 | Bewick Bridge - 1818 - 254 pàgines
...(dividing by cd) we have — = —,> or -=-1 5 .'. a : с : b : d, and b : d :; a.: c. cd cd, с а Тн. 5. "If there be six proportional quantities, and the...the fifth to the sixth ; then will the first " be to the second as the fifth to the sixth." For let a : b :: с : d, ij г iл. ac , с eae . and с:... | |
 | John Playfair - 1819 - 350 pàgines
...demonstrated, A : C : : B : D, and inversely (A. 5.) C : A : : D : B. Therefore, &c. q. ED PROP. C. THEOE. 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, ihe third is the same multiple or the same part... | |
 | John Playfair - 1819 - 354 pàgines
...taken separately, be proportionals, they will 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 will be to the second, as the third and fourth together to the fourth.... | |
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