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" Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other. "
The Complete Practical Arithmetician: Containing Several New and Useful ... - Page 282
by Thomas Keith - 1825 - 332 pages
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 pages
...Ans. 26 crowns, 9 guineas, and 5 moidores. CHAPTER III. ON RATIO, PROPORTION, AND PROGRESSION. (68.) RATIO is the relation which one quantity bears to...another of the same kind, with respect to magnitude. ARITHMETICAL RATIO is that which expresses the difference of the quantities compared. (64.) GEOMETRICAL...
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - Mathematics - 1841 - 140 pages
...said to be a multiple of 2, because 24 contains 2 twelve times, without leaving a remainder. В III. Ratio is the relation which one quantity bears to...another of the same kind, with respect to magnitude. Several definitions have been given of the term " ratio ;" the following are quoted from some of the...
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - Mathematics - 1841 - 144 pages
...part or parts the one is of the other." — Bonnycastle's Geometry. " Ratio is usually defined to be the relation which one quantity bears to another of the same kind, with respect to magnitude : and as such relation may be expressed either by stating how much one exceeds the other, or how often one...
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The practical arithmetic

John Darby (teacher of mathematics.) - 1843 - 236 pages
...to Täte's Modern Cambist, a work of high respectability, written expressly on the subject. RATIO. RATIO is the relation which one quantity bears to another of the same kind, numerically considered; the comparison being made by observing what multiple, part or parts, the one...
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Elements of Fractional Arithmetic

George Lees - 1843 - 86 pages
...of O.C78125 of a pound. . . Ans. 13s. 6fd. OF RATIOS AND PROPORTION. LIV. The term ratio designates the relation which one quantity bears to another of the same kind in respect of magnitude, and is expressed by the fraction which the one is of the other. 7 Thus, the...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...second method 1 What shows the relation between the two quantities in this case ? Give an example. 1 70* RATIO is the relation which one quantity bears to another of the same kind. When the quantities are compared by considering how much one exceeds the other, the ratio, which is...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...method ? What shows the relation between the two quantities in this case ? Give an example. 170». RATIO is the relation which one quantity bears to another of the same kind. When the quantities are compared by considering Jimo much one exceeds the other, the ratio, which is...
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Putnam's Arithmetic

Rufus Putnam - Arithmetic - 1849 - 276 pages
...stating the time in days in computing the interest ? SECTION XII. — RATIO — PROPORTION. 126. RATIO. Ratio is the relation which one quantity bears to another of the same kind, and expresses the part that one quantity is of another. Thus, | expresses the relation of 3 to 5 ;...
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A manual of explanatory arithmetic

Edward Hughes - 1849 - 162 pages
...18 24 40 48 60 72 36? 12? 18? 25? 30? 36? 60? f From this it appears Uiai Ratio is the relation that one quantity bears to another of the same kind, with respect to ma9nitude. The former one of two terms in any ratio is called the antecedent, and the latter, the consequent....
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...LI. RATIO. The former of these quantities is called the antecedent, and the latter the consequent. RATIO is the relation which one quantity bears to...often the one contains the other. Thus, the ratio of 12 to 3 is expressed by dividing 12 by 3 = ^ = 4, ratio ; or it may be expressed by dividing 3 by 12...
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