| Augustus De Morgan - Algebra - 1837 - 256 pages
...— 3 > — 4, it does not follow that 3x— 3> — 2x— 4, or — 9>8, but the contrary — 9<8. **But it is seldom necessary to deduce the algebraical...proportion in arithmetic, but the words quantity, divided** by, and equal, have their extended signification. The words greater and less cannot always be applied... | |
| Admiralty - 1845
...when connected with this sign form what is called an equation. Thus x+y=a— b is an equation. 15. **Four quantities are said to be proportional when the...second is equal to the third divided by the fourth.** If a, b, c, d be the quantities, the proportion between them is expressed either by a: b : : c : d;... | |
| John Radford Young - 1850
...every proportion may be converted into an ••-, 'i, ••'/.- in other words, that the first term **divided by the second, is equal to the third divided by the fourth** ; for proportion is an equality of ratios; and ratio, in the arithmetical sense of the term, is quotient;... | |
| 1855
...ratio of 49 : 9 ? PROFORTION. When four quantities are related to one another in luch a Banner that **the first divided by the second is equal to the third divided by the fourth** — in other words, when the ratio of the first to the second is equal to the ratio of the third to... | |
| James B. Dodd - Algebra - 1859 - 306 pages
...when the ratio of the first to the second is equal to the ratio of the third to the fourth ; that is, **when the first divided by the second is equal to the third divided by the fourth.** Thus the numbers 6, 3, 8, 4 are in proportion, since the ratio |- equals the ratio -|. And the quantities... | |
| 1863
...the numerator of the other, to its denominator. It follows that any four numbers are proportionals, **when the first divided by the second is equal to the third divided by the fourth.** They are not proportionals when this is not the case ; therefore, by this test, we can determine if... | |
| Robert Johnston (F.R.G.S.) - 1877
...of the other, to its denominator. It follows that any four numbers are proportionals, when the ftrst **divided by the second is equal to the third divided by the fourth.** They are not proportionals when this is not the ease ; therefore, by this test, we can determine if... | |
| Robert Johnston (F.R.G.S.) - 1879
...the numerator oí the other, to its denominator. It follows that any four numbers are proportionals, **when the first divided by the second is equal to the third divided by the fourth.** They are not proportionals when this is not the case ; therefore, by this test, we can determine if... | |
| George Lilley - Algebra - 1892 - 402 pages
...inequality. PROPORTION. 164. A Proportion is an equality of ratios. Four numbers lire in proportion, **when the first divided by the second is equal to the third divided** hy the fourth. fl С Thus, if т — j, then a, 6, c, d, are called proportionals, or are said to be... | |
| George P. Lilley - Algebra - 1894 - 504 pages
...inequality. PROPORTION. 164. A Proportion is au equality of ratios. Four numbers are in proportion, **when the first divided by the second is equal to the third divided by the fourth.** я с Thus, if т = -, , then а, Ъ, с, d, are called proportionals, or are said to be in proportion,... | |
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