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" When the antecedent of a ra13 tio is greater than the consequent, it is called a ratio of greater inequality ; when the antecedent is less than the consequent, a ratio of lesser inequality ; and if the two terms of a ratio be the same, then it is said... "
An Elementary Treatise on Algebra - Page 118
by Bewick Bridge - 1818 - 227 pages
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 648 pages
...the fraction — , and of 4 • the ratio 4 : 13 by the fraction — . When the antecedent of a 13 ratio is greater than the consequent, it is called...of greater inequality; when the antecedent is less fh;m the consequent, a ratio of lesser inequality ; and if the two terms of a ratio be the same, then...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
..., and that of the ratio 4 : 13 by the fraction — . 7 is (99.) When the antecedent of a ratio ¡s greater than the consequent, it is called a ratio...the same, then it is said to be a ratio of equality. (100.) But the foregoing definitions apply to those instances only, in which the consequent of a ratio...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1828 - 260 pages
...the fraction — -, and of 4 the ratio 4 : 13 by the fraction —• When the antecedent of a 1 О ratio is greater than the consequent, it is called...the antecedent is less than the consequent, a ratio (*) In expressing the ratio of two quantities, the word " to", is generally supplied by two dots; thus,...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1832 - 220 pages
...by the fraction — , and of the ratio 4 : 13 by the fraction — When the antecedent of a ra13 tio is greater than the consequent, it is called a ratio...the same, then it is said to be a ratio of equality. 94. The foregoing definitions evidently apply only to those instances, in which the consequent of a...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1839 - 280 pages
...and of the ratio 4 : 13, by 4 the fraction — . When the antecedent of a ratio is greater than lo the consequent, it is called a ratio of greater inequality...the same, then it is said to be a ratio of equality. 94. The foregoing definitions evidently apply only to those instances, in which the consequent of a...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...expressed by the fraction 4,5, and of the ratio 4 : 13, by the fraction 1*y. When the antecedent of a ratio is greater than the consequent, it is called...the same, then it is said to be a ratio of equality. 77. The foregoing definitions evidently apply only to those instances in which the consequent of a...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...expressed by the fraction 4^, and of the ratio 4 : 13, by the. fraction -j*^. When the antecedent of a ratio is greater than the consequent, it is called...than the consequent, a ratio of lesser inequality ; * In expressing the ratio of two quantities, the word to is gen» rally supplied by two dots ; thus,...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 pages
...of equality. If the antecedent is greater than the consequent, the ratio is greater than a unit, and is called a ratio of greater inequality. When the antecedent is less than the consequent, the ratio is less than a unit, and is called a ratio of lass inequality. 3. The two magnitudes when...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...equality. When the antecedent is greater than the consequent, the ratio is greater than a unit, or a ratio of greater inequa-lity. When the antecedent is less than the consequent, the ratio is less than a unit, or a ratio of less inequality. A compound ratio is the ratio formed...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...consequent of the ratio. 124. When the antecedent of a ratio is greater than the consequent, the ratio is called a ratio of greater inequality ; when the antecedent is less than the consequent, it is called a ratio of less inequality ; and when the antecedent 12 and consequent are equal, it is...
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