 A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.  Higher Algebra - Page 391by George P. Lilley - 1894 - 504 pagesFull view - About this book
 | Bewick Bridge - Algebra - 1832 - 220 pages
...and since 48 45 — is greater than — , the ratio 8 : 5 is greater than the 30 30 ratio of 9 : 6. III. A ratio of greater inequality is diminished, and a ratio of lesser inequality is increased, by adding the same quantity to both its terras. Let a+b : a represent... | |
 | John Hind - Algebra - 1837 - 584 pages
...: and if the consequents be equal, the ratio is the greater which has the greater antecedent. 165. A ratio of greater inequality is diminished, and a...of less inequality is increased, by adding the same quantity to both its terms. Let a : b be a ratio of inequality, and suppose a> to be added to both... | |
 | Bewick Bridge - Algebra - 1839 - 280 pages
...and since — is greater ou oU ol) than — , the ration 8 : 5 is greater than the ratio of 9 : 6. 30 III. " A ratio of greater inequality is diminished, and a ratio of lesser inequality is increased, by adding the same quantity to both its terms." Let a+b : a represent... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...respectively ; and since $•§ is greater than f$, the ratio 8 : 5 is greater than the ratio of 9 : 6. III. A ratio of greater inequality is diminished, and a ratio of lesser inequality is increased, by adding the same quantity to both its terms. Let a -\-b '. a represent... | |
 | John D. Williams - Algebra - 1840 - 216 pages
...respectively ; and since f § is greater than |J, the ratio 8 : 5 is greater than the ratio of 9 : 6. III. A ratio of greater inequality is diminished, and a ratio of lesser inequality is increased, by adding the same quantity to both Us terms. Let a -f- b '. a represent... | |
 | Alexander Ingram - 1844 - 262 pages
...: 9; and since — —. is less than £, the ratio of a : a + b a + bb is less than that of a : b. III. A ratio of greater inequality is diminished,...of less inequality is increased, by adding the same quantity to both of its terms. Let - represent any ratio, and add n to each of its terms, then these... | |
 | William Scott - Algebra - 1844 - 568 pages
...fraction increased, by the addition of the same quantity to both its terms (Art. 39), it follows that a ratio of greater inequality is diminished, and a ratio of less inequality increased, by adding the same quantity to both its terms. Conversely, a ratio of greater inequality... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...of these is the greatest, we infer that the ratio of 2 to 7 is less than the ratio of 3 to 8. (207.) A ratio of greater inequality is diminished, and a...of less inequality is increased, by adding the same quantity to both terms. i>i&-r' 2 2 + 1 3 To prove the proposition generally, let j- represent any... | |
 | James Bates Thomson - Arithmetic - 1847 - 434 pages
...nu?a, her to both terms. Thus, the ratio of 6 : 2^ is 4 ; and the ratio of 8-J-4 : 2-j~ 4 is 2. 2. A ratio of less inequality is increased by adding the same number to both the terms. Thus, the ratio of 2 : 8 is |, and the ratio of 2-J-16 : 8+16 is f . PROPORTION. 4:92* PROPORTION... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...by adding the same nnm to both terms. Thus, the rutio of 8 : 2, is 4 ; and the ratio of 8+4 : 2+ 2. A ratio of less inequality is increased by adding the same number to both the terms. Thus, the ratio of 2 : 8 is J, and the ratio of 2+16 : 8+16 is f. PROPORTION. 492. PROPORTION... | |
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