 IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...  Complete Secondary Algebra - Página 313por George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 288 páginasVista completa - Acerca de este libro
 | Robert Simson - 1806 - 546 páginas
...first be the same multiple of the second, or the same part of it, that the third is of the .fourth ; the first is to the second as the third is to the fourth. Let the first A be the same multiple of B the second, that C the-third is of the fourth D : A is to... | |
 | John Playfair - 1806 - 320 páginas
...when divided by the fourth, we say of these magnitudes, as we did of the numbers above described, that the first is to the second as the third is to the fourth. There are only two more circumstances necessary to be considered, in order -to bring us precisely to... | |
 | Charles Butler - 1814 - 582 páginas
...PROPORTION. 83. The foregoing articles treat of the properties of what is called DIRECT PROPORTION, where the first is to the second as the third is to the fourth ; but when the terms are so arranged, ' It must he understood, tbat what we have delivered on proportion,... | |
 | Euclides - 1816 - 588 páginas
...first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D : A is to... | |
 | Daniel Cresswell - 1819 - 446 páginas
...magnitudes be the same multiple of the second, or the same part ofit, that the third is of the fourth, the first is to the second, as the third is to the fourth. First, let A •= pB, and C = pD ; then A : B :: C:D. Let there be taken of A and C any equi-multiples... | |
 | James Ryan, Robert Adrain - 1824 - 542 páginas
...first be (lie same multiple of the second,' or the same part of it that the third is of the fourth ; the first is to the second as the third is to the fourth. DEMONSTRATION. t 1. Supposing m lo be any integer greater than unity, let w»A the lirst be the same... | |
 | James Ryan - 1824 - 550 páginas
...first be the satne multiple of the second, or 1he same part of it that the third is of the fourth ; the first is to. the second as the third is to the fourth. DEMONSTRATION. I. Supposing m to be any integer greater than unity, let mA the first be the same multiple... | |
 | Euclid, Dionysius Lardner - 1828 - 542 páginas
...(482) If the first be the same multiple or submultiple of the second, that the third is of the fourth ; the first is to the second as the third is to the fourth. Let the first A be the same multiple of the second B that the third C is of the fourth D ; A : B =... | |
 | Euclid - 1835 - 540 páginas
...magnitudes be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D; then A is... | |
 | Robert Mudie - 1836 - 524 páginas
...of the first divided by the second is equal to the quotient of the third divided by the fourth, then the first is to the second as the third is to the fourth, or the ratio of the first and second is equal to the ratio of the third and fourth ; because these... | |
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