If four quantities are in proportion, they will be in proportion by COMPOSITION ; that is, the sum of the first and second, will be to the second, as the sum of the third and fourth, is to the fourth. A Treatise on Algebra - Page 339by George Peacock - 1830 - 685 pagesFull view - About this book
| James Ryan - Algebra - 1824 - 548 pages
...third. XV. Componendo, by composition, when it is inferred that the sum of the first and second is **to the second as the sum of the third and fourth is to the fourth.** XVI. Dividendo, by division, when it is inferred that the excess of the first above the second is to... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...third. XV. Componendo, by composition, when it is inferred that the sum of the first and second is **to the second as the sum of the third and fourth is to the fourth.** XVI. Dividendo, by division, when it is inferred that the excess of the first above the second is to... | |
| Enoch Lewis - Algebra - 1826 - 180 pages
...-=-= — bd bd о а 63. When four quantities are proportionals, the sum of the first and second is **to the second, as the sum of the third and fourth is to the fourth.** c+d r Or, a+6:o :: c+d: d. If the word difference be substituted for sum, the proposition will still... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...viz. : — If four magnitudes be proportional, the sum of the first and second will be to the first or **second as the sum of the third and fourth is to the** third or fourth. EE A ! BA ! B -D Let AE be to EB as CF is to FD ; then will AB be to BE, or AE, as... | |
| John Playfair - Geometry - 1829 - 210 pages
...A : C : : B : D (33). ' 37. If four quantities be proportional, the sum of the first and second is **to the second, as the sum of the third and fourth is to the fourth.** A i^B* ::C +:1?' Den ^ comPosition) For *=-?, and * «J? - . A+g C + D B D' BD ' ' ' ^S~ " " D •>... | |
| John Darby (teacher of mathematics.) - 1829 - 212 pages
...other product the means. 3. If four quantities be proportionals, the sum of the first and second is **to the second, as the sum of the third and fourth is to the fourth.** Thus, if a;b; ;c'd, then will a+b:by.c+d;d. 4. If four quantities be proportionals, the difference... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...be proportionals, they shall also be proportionals when taken conjointly ; that is, the sum of the **first and second shall be to the second, as the sum of the third and fourth** to the fourth : or, compo nendo, A + B:B::C + D: D. For, if any like parts whatever, as the nth, of... | |
| Mathematics - 1835 - 684 pages
...be proportionals, they shall also be proportionals when taken conjointly ; that is, the sum of the **first and second shall be to the second, as the sum of the third and fourth** to the fourth : or, componendo, A + B: В : : C + D: D. For, if any like parts whatever, as the иш,... | |
| George Darley - Euclid's Elements - 1836 - 172 pages
...fourth, ibid. ART. 172. In a series of four proportional right lines, the sum of the first and second is **to the second as the sum of the third and fourth is to the fourth,** ibid. ART. 173. In a series of four proportional right lines, the difference between the first and... | |
| Augustus De Morgan - Algebra - 1840 - 182 pages
...a+b c+d 01 —j— = —j6 d or 0+i '. b '.'. c+d '. d That is, the sum of the first and second is **to the second, as the sum of the third and fourth is to the fourth.** For brevity, we shall not state in words any more of these proportions, since the pupil will easily... | |
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