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ra·tio 
Audio Help [rey-shoh, -shee-oh] Pronunciation Key
Audio Help [rey-shoh, -shee-oh] Pronunciation Key –noun, plural -tios.
| 1. | the relation between two similar magnitudes with respect to the number of times the first contains the second: the ratio of 5 to 2, written 5:2 or 5/2. |
| 2. | proportional relation; rate: the ratio between acceptances and rejections. |
| 3. | Finance. the relative value of gold and silver in a bimetallic currency system. |
[Origin: 1630–40; < L ratiō a reckoning, account, calculation, deriv. (see -tion) of the base of rérī to judge, think]
] | Dictionary.com Unabridged (v 1.1) Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006. |
Ratio
To learn more about Ratio visit Britannica.com
| © 2008 Encyclopædia Britannica, Inc. |
| ra·tio
Audio Help (rā'shō, rā'shē-ō') Pronunciation Key
n. pl. ra·tios
[Latin ratiō, calculation, from ratus, past participle of rērī, to reckon, consider; see ar- in Indo-European roots.] |
| The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2006 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
ratio
1636, "reason, rationale," from L. ratio "reckoning, calculation, business affair, procedure," also "reason," from rat-, pp. stem of reri "to reckon, calculate," also "think" (see reason). Mathematical sense is attested from 1660.
| Online Etymology Dictionary, © 2001 Douglas Harper |
| ratio | |
noun | |
| 1. | the relative magnitudes of two quantities (usually expressed as a quotient) |
| 2. | the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree; "an inordinate proportion of the book is given over to quotations"; "a dry martini has a large proportion of gin" [syn: proportion] |
| WordNet® 3.0, © 2006 by Princeton University. |
ratio [ˈreiʃiəu] noun — plural ˈratios
the amount or proportion of one thing compared to another
Example: There is a ratio of two girls to one boy in this class.
Example: There is a ratio of two girls to one boy in this class.
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| Kernerman English Multilingual Dictionary (Beta Version), © 2000-2006 K Dictionaries Ltd. |
| ratio
Audio Help (rā'shō, rā'shē-ō') Pronunciation Key
A relationship between two quantities, normally expressed as the quotient of one divided by the other. For example, if a box contains six red marbles and four blue marbles, the ratio of red marbles to blue marbles is 6 to 4, also written 6:4. A ratio can also be expressed as a decimal or percentage. |
| The American Heritage® Science Dictionary Copyright © 2002 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
ratio [(ray-shee-oh, ray-shoh)]
An expression of the relative size of two numbers by showing one divided by the other.
[Chapter:] Physical Sciences and Mathematics
| The American Heritage® New Dictionary of Cultural Literacy, Third Edition Copyright © 2005 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
ra·tio (r
sh
, rsh
-
)
n. pl.
ra·tios
- Relation in degree or number between two similar things.
- The relation between two quantities expressed as the quotient of one divided by the other.
| The American Heritage® Stedman's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company. |
Main Entry: ra·tio
Pronunciation: 'rA-(")shO, -shE-"O
Function: noun
Inflected Form: plural ra·tios
: the relationship in
quantity, amount, or size between two or more things —see SEX RATIO
| Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc. |
ratio
- The relation between two quantities when compared mathematically with one another. For example, the most frequently used ratio among investors is the price-earnings ratio. Financial analysts, investors, and managers use ratios to evaluate many factors such as the attractiveness of a stock or the operating efficiency of a company. Also called financial ratio. See also activity ratio, debt management ratio, liquidity ratio, profitability ratio.
| Wall Street Words: An A to Z Guide to Investment Terms for Today's Investor by David L. Scott. Copyright © 2003 by Houghton Mifflin Company. Published by Houghton Mifflin Company. |
ratio
An`har*mon"ic\, a. [F. anharmonique, fr. Gr. 'an priv. + ? harmonic.] (Math.) Not harmonic. The anharmonic function or ratio of four points abcd on a straight line is the quantity (ac/ad):(bc/bd), where the segments are to be regarded as plus or minus, according to the order of the letters.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
ratio
Du"pli*cate\, a. [L. duplicatus, p. p. of duplicare to double, fr. duplex double, twofold. See Duplex.] Double; twofold. Duplicate proportion or ratio (Math.), the proportion or ratio of squares. Thus, in geometrical proportion, the first term to the third is said to be in a duplicate ratio of the first to the second, or as its square is to the square of the second. Thus, in 2, 4, 8, 16, the ratio of 2 to 8 is a duplicate of that of 2 to 4, or as the square of 2 is to the square of 4.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
ratio
Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L. geometricus; Gr. ?: cf. F. g['e]om['e]trique.] Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem. Note: Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra. Note: Geometrical is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is geometrical which can be made by ruler and compasses, i. e., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not geometrical, but mechanical. By another distinction, a geometrical solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc., and is only approximate and empirical. Geometrical curve. Same as Algebraic curve; -- so called because their different points may be constructed by the operations of elementary geometry. Geometric lathe, an instrument for engraving bank notes, etc., with complicated patterns of interlacing lines; -- called also cycloidal engine. Geometrical pace, a measure of five feet. Geometric pen, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm. Geometrical plane (Persp.), the same as Ground plane . Geometrical progression, proportion, ratio. See under Progression, Proportion and Ratio. Geometrical radius, in gearing, the radius of the pitch circle of a cogwheel. --Knight. Geometric spider (Zo["o]l.), one of many species of spiders, which spin a geometrical web. They mostly belong to Epeira and allied genera, as the garden spider. See Garden spider. Geometric square, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles. Geometrical staircase, one in which the stairs are supported by the wall at one end only. Geometrical tracery, in architecture and decoration, tracery arranged in geometrical figures.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L. geometricus; Gr. ?: cf. F. g['e]om['e]trique.] Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem. Note: Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra. Note: Geometrical is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is geometrical which can be made by ruler and compasses, i. e., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not geometrical, but mechanical. By another distinction, a geometrical solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc., and is only approximate and empirical. Geometrical curve. Same as Algebraic curve; -- so called because their different points may be constructed by the operations of elementary geometry. Geometric lathe, an instrument for engraving bank notes, etc., with complicated patterns of interlacing lines; -- called also cycloidal engine. Geometrical pace, a measure of five feet. Geometric pen, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm. Geometrical plane (Persp.), the same as Ground plane . Geometrical progression, proportion, ratio. See under Progression, Proportion and Ratio. Geometrical radius, in gearing, the radius of the pitch circle of a cogwheel. --Knight. Geometric spider (Zo["o]l.), one of many species of spiders, which spin a geometrical web. They mostly belong to Epeira and allied genera, as the garden spider. See Garden spider. Geometric square, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles. Geometrical staircase, one in which the stairs are supported by the wall at one end only. Geometrical tracery, in architecture and decoration, tracery arranged in geometrical figures.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
ratio
In*verse"\, a. [L. inversus, p. p. of invertere: cf. F. inverse. See Invert.]1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to direct. 2. (Bot.) Inverted; having a position or mode of attachment the reverse of that which is usual. 3. (Math.) Opposite in nature and effect; -- said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc whose sine is x. Inverse figures (Geom.), two figures, such that each point of either figure is inverse to a corresponding point in the order figure. Inverse points (Geom.), two points lying on a line drawn from the center of a fixed circle or sphere, and so related that the product of their distances from the center of the circle or sphere is equal to the square of the radius. Inverse, or Reciprocal, ratio (Math.), the ratio of the reciprocals of two quantities. Inverse, or Reciprocal, {proportion, an equality between a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Ra"ti*o\, n. [L., fr. reri, ratus, to reckon, believe, think, judge. See Reason.]1. (Math.) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b by a/b; or (less commonly) the second is made the dividend; as, a:b = b/a. Note: Some writers consider ratio as the quotient itself, making ratio equivalent to a number. The term ratio is also sometimes applied to the difference of two quantities as well as to their quotient, in which case the former is called arithmetical ratio, the latter, geometrical ratio. The name ratio is sometimes given to the rule of three in arithmetic. See under Rule. 2. Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress. Compound ratio, Duplicate ratio, Inverse ratio, etc. See under Compound, Duplicate, etc. Ratio of a geometrical progression, the constant quantity by which each term is multiplied to produce the succeeding one.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Ra`ti*oc"i*nate\, v. i. [L. ratiocinatus, p. p. of ratiocinari, fr. ratio reason. See Ratio.] To reason, esp. deductively; to offer reason or argument.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Ra"tion\, n. [F., fr. L. ratio a reckoning, calculation, relation, reference, LL. ratio ration. See Ratio.]1. A fixed daily allowance of provisions assigned to a soldier in the army, or a sailor in the navy, for his subsistence. Note: Officers have several rations, the number varying according to their rank or the number of their attendants. 2. Hence, a certain portion or fixed amount dealt out; an allowance; an allotment.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Ra"tion*al\, a. [L. rationalis: cf. F. rationnel. See Ratio, Reason, and cf. Rationale.]1. Relating to reason; not physical; mental. Moral philosophy was his chiefest end; for the rational, the natural, and mathematics . . . were but simple pastimes in comparison of the other. --Sir T. North. 2. Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning. It is our glory and happiness to have a rational nature. --Law. 3. Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man. 4. (Chem.) Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formul[ae]. See under Formula. Rational horizon. (Astron.) See Horizon, 2 (b) . Rational quantity (Alg.), one that can be expressed without the use of a radical sign, or in extract parts of unity; -- opposed to irrational or radical quantity. Rational symptom (Med.), one elicited by the statements of the patient himself and not as the result of a physical examination. Syn: Sane; sound; intelligent; reasonable; sensible; wise; discreet; judicious. Usage: Rational, reasonable. Rational has reference to reason as a faculty of the mind, and is opposed to traditional; as, a rational being, a rational state of mind, rational views, etc. In these cases the speculative reason is more particularly, referred to. Reasonable has reference to the exercise of this faculty for practical purposes, and means, governed or directed by reason; as, reasonable prospect of success. What higher in her society thou find'st Attractive, human, rational, love still. --Milton. A law may be reasonable in itself, although a man does not allow it, or does not know the reason of the lawgivers. --Swift.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Ratio
Rea"son\, n. [OE. resoun, F. raison, fr. L. ratio (akin to Goth. rapj? number, account, garapjan to count, G. rede speech, reden to speak), fr. reri, ratus, to reckon, believe, think. Cf. Arraign, Rate, Ratio, Ration.]1. A thought or a consideration offered in support of a determination or an opinion; a just ground for a conclusion or an action; that which is offered or accepted as an explanation; the efficient cause of an occurrence or a phenomenon; a motive for an action or a determination; proof, more or less decisive, for an opinion or a conclusion; principle; efficient cause; final cause; ground of argument. I'll give him reasons for it. --Shak. The reason of the motion of the balance in a wheel watch is by the motion of the next wheel. --Sir M. Hale. This reason did the ancient fathers render, why the church was called "catholic." --Bp. Pearson. Virtue and vice are not arbitrary things; but there is a natural and eternal reason for that goodness and virtue, and against vice and wickedness. --Tillotson. 2. The faculty of capacity of the human mind by which it is distinguished from the intelligence of the inferior animals; the higher as distinguished from the lower cognitive faculties, sense, imagination, and memory, and in contrast to the feelings and desires. Reason comprises conception, judgment, reasoning, and the intuitional faculty. Specifically, it is the intuitional faculty, or the faculty of first truths, as distinguished from the understanding, which is called the discursive or ratiocinative faculty. We have no other faculties of perceiving or knowing anything divine or human, but by our five senses and our reason. --P. Browne. In common and popular discourse, reason denotes that power by which we distinguish truth from falsehood, and right from wrong, and by which we are enabled to combine means for the attainment of particular ends. --Stewart. Reason is used sometimes to express the whole of those powers which elevate man above the brutes, and constitute his rational nature, more especially, perhaps, his intellectual powers; sometimes to express the power of deduction or argumentation. --Stewart. By the pure reason I mean the power by which we become possessed of principles. --Coleridge. The sense perceives; the understanding, in its own peculiar operation, conceives; the reason, or rationalized understanding, comprehends. --Coleridge. 3. Due exercise of the reasoning faculty; accordance with, or that which is accordant with and ratified by, the mind rightly exercised; right intellectual judgment; clear and fair deductions from true principles; that which is dictated or supported by the common sense of mankind; right conduct; right; propriety; justice. I was promised, on a time, To have reason for my rhyme. --Spenser. But law in a free nation hath been ever public reason; the enacted reason of a parliament, which he denying to enact, denies to govern us by that which ought to be our law; interposing his own private reason, which to us is no law. --Milton. The most probable way of bringing France to reason would be by the making an attempt on the Spanish West Indies. --Addison. 4. (Math.) Ratio; proportion. [Obs.] --Barrow. By reason of, by means of; on account of; because of. "Spain is thin sown of people, partly by reason of the sterility of the soil." --Bacon. In reason, In all reason, in justice; with rational ground; in a right view. When anything is proved by as good arguments as a thing of that kind is capable of, we ought not, in reason, to doubt of its existence. --Tillotson. It is reason, it is reasonable; it is right. [Obs.] Yet it were great reason, that those that have children should have greatest care of future times. --Bacon. Syn: Motive; argument; ground; consideration; principle; sake; account; object; purpose; design. See Motive, Sense.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
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