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... A Treatise on Algebra - Page 47by James Edward Oliver - 1887 - 412 pagesFull view - About this book
| John Playfair - Mathematics - 1806 - 320 pages
...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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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... | |
| Charles Butler - 1814 - 582 pages
...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 pages
...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 - Geometry - 1819 - 446 pages
...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 - Algebra - 1824 - 542 pages
...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 - Algebra - 1824 - 550 pages
...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 - Euclid's Elements - 1828 - 542 pages
...(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 =... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...third proportional to A and B. [П. } l 11. Any number of magnitudes of the saine kind are said to be in continued proportion, when the first is to the second, as the second to the third, as the third to the fourth, and so on. Magnitudes A, B, C, D, Sec. which are in... | |
| Euclid - 1835 - 540 pages
...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... | |
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