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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 290
by Thomas Keith - 1822 - 332 pages
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 pages
...quantities, x the fourth proportional. Then a : b :: c : x; or ax=bc, be ' 140. Ratio is first denned as the relation which one quantity bears to another of the same kind in respect of magnitude, the comparison being made by considering what multiple, part or parts, one...
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American Pronouncing Dictionary of English Language

Alexander H. Laidlaw - 1859 - 616 pages
...RATIFIES.] To confirm; to sanction : to settle. *RAT'IVFI-ED, p. prf. RA-TI-O (ri'she'6), n. The measure of the relation which one quantity bears to another of the same kind ; the number of times that one quantity contains another regarded as a standard : — see PROPORTION....
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American Journal of Education and College Review, Volume 10

1861 - 804 pages
...balance of Otis chapter, except the following "iesson:"]— Lesson on the Bute of Three. PRELIMINARY. Ratio is the relation which one quantity bears to another of the tame lind, in respect to magnitude. We can speak, for instance, of the ratio or relation between two...
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The American Journal of Education, Volume 10

1861 - 798 pages
...omit the balance of this chapter, except the following "Lesson:''] — Lesson on ike Rule of Three. Ratio is the relation which one quantity bears to another of the tame Und, in respect to magnitude. We can speak, for instance, of the ratio or relation between two...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1865 - 592 pages
...be an hyperbola. PRO-POR-TION. [L. proportie; frémir* and parlio, a part]. The relation which OOP quantity bears to another of the same kind. with respect to magnitude or numerical varo* This relation may be expressed in two way. let, by the difference of the quantities,...
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A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 pages
...comparing A and В is called finding the RATIO of A to B, and we give the following defmitioib DEP. Ratio is the relation which one quantity bears to another of the same kind with respect to the number of times the one contains the other. 311. The ratio of A to Б is expressed thus, A : В....
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Vermont Legislative Documents and Official Reports

Vermont - 1869 - 796 pages
...times it occurs in each of them, will be the greatest common measure. (7.) Ratio, is the measure of the relation which one quantity bears to another of the same kind. Proportion is an equality of ratios. Involution is the process of raising any number to a required...
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Elementary Algebra

James Hamblin Smith - 1870 - 478 pages
...comparing A and B is called finding the RATIO of A to B, and we give the following definition. DBF. Ratio is the relation which one quantity bears to another of the same kind with respect to the number of times the one contains the other. 340. The ratio of A to B is expressed thus, A : B....
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Rules and Formulæ in Elementary Mathematics. With Notes

Braithwaite Arnett - 1873 - 120 pages
...of x* - aV = >j(x* — dV), or x -J(x* -a"), and not a;* — ax. RATIO, PROPORTION, AND VARIATION. Ratio Is the relation, which one quantity bears to...another of the same kind with respect to 'magnitude, the comparison being made by considering what multiple or part the first is of the second. The ratio...
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The American Commercial Arithmetic: For the Use of the Grand Rapids Business ...

T. A. Bryce - 1873 - 370 pages
...fraction, we get ^=^, and multiplying 1° 15' by 2, and dividing by 75, we find 2' 0 RATIO AND PROPORTION. is the relation which one quantity bears to another of the same kind with respect to magnitude, or the number of times that the less is contained in the greater. Thus, the ratio 7 to 21 is 3, because...
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