 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...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... | |
 | James Ryan - Algebra - 1824 - 550 pages
...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... | |
 | 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... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...Bonnycastle's Geometry, 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 CD is to DF, or... | |
 | John Darby (teacher of mathematics.) - 1829 - 212 pages
...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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...: : 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~ "... | |
 | George Peacock - Algebra - 1830 - 732 pages
...Compo. be proportionals also componendo, that is, the sum of the nendo> first and second shall be to the second as the sum of the third and fourth is to the fourth. Let a : b :: c : d, then also a + b : b :: c + d : d. For if - = - , then also - + 1 = - -f... | |
 | George Darley - Euclid's Elements - 1836 - 172 pages
...Alternation. 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. Let AB be to CD as EF to GH. Then the sum of AB and CD is to CD as the sum of EF and GH is... | |
 | Augustus De Morgan - Algebra - 1840 - 182 pages
...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... | |
 | Euclides - 1842 - 316 pages
...will also be proportional 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. Let A : B : : c : D, then, by composition, A + B : B :: c + D : D. Let P measure both A and... | |
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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. 
