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56 definitions found

From The Collaborative International Dictionary of English v.0.44 : [ gcide ]


  Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L.
     geometricus; Gr. ?: cf. F. g['e]om['e]trique.]
     1. Pertaining to, or according to the rules or principles of,
        geometry; determined by geometry; as, a geometrical
        solution of a problem.
        [1913 Webster]
  
     2. (Art) characterized by simple geometric forms in design
        and decoration; as, a buffalo hide painted with red and
        black geometrical designs.
  
     Syn: geometric.
          [WordNet 1.5]
  
     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.
           [1913 Webster]
  
     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.
           [1913 Webster]
  
     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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.44 : [ gcide ]


  Ratio \Ra"ti*o\ (r[=a]"sh[i^]*[-o] or r[=a]"sh[-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 term is made the
        dividend; as, a:b = b/a.
        [1913 Webster]
  
     Note: Some writers consider ratio as the quotient itself,
           making ratio equivalent to a number.
           [1913 Webster] 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.
           [1913 Webster]
  
     2. Hence, fixed relation of number, quantity, or degree;
        rate; proportion; as, the ratio of representation in
        Congress.
        [1913 Webster]
  
     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.
        [1913 Webster]

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Inverse \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.

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  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.

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Anharmonic \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.

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Duplicate \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.

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Geometric \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.

From WordNet (r) 2.0 : [ wn ]


  ratio
       n : the relative magnitudes of two quantities (usually expressed
           as a quotient)

From Greek Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-el-ALL-2023-07-27 ]


  ratio
     Αγγλικά n.
     (ετ αριθμ en) ο λόγος (αναλογία)

From English Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-en-ALL-2023-07-27 ]


  ratio
     French n.
     (lb fr mathematics) (l en ratio)
     interj.
     (lb en neologism Twitter) (n-g: Indicates disagreement with a post
  the user disagrees with or dislikes).
     n.
     1 A number representing a comparison between two named things.
     2 (lb en arithmetic) The relative magnitudes of two quantities
  (usually expressed as a quotient).
     3 (lb en legal) (short for en ratio decidendi)
     4 (lb en Internet) The number of comments to a post or other
  expression on social media relative to the number of likes; a high ratio
  suggests disagreement with the contents of the original post.
     vb.
     (lb en transitive Internet slang) To respond to a post or message on
  social media in a greater number than the number of likes the post
  receives, especially to condemn or mock the original poster.
     Latin n.
     1 reason, reasoning, explanation, ground, motive, rationality,
  rationale, purpose
     2 calculation, account, accounting, reckoning, computation, business
     3 procedure, course, manner, method, mode, conduct, plan
     4 theory, view
     5 doctrine, system, philosophy (gloss: collective body of the
  teachings of a school of thought)
     6 view, opinion, advice, consult
     7 register (gloss: list)
     8 regard, respect, interest, consideration
     9 reference, relation, respect

From English Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-en-ALL-2023-07-27 ]


  Ratio
     German n.
     f (lb de philosophy) reason

From English Wiktionary: English language only (2023-07-27) : [ dictinfo.com:wikt-en-en-2023-07-27 ]


  ratio
     interj.
     (lb en neologism Twitter) (n-g: Indicates disagreement with a post
  the user disagrees with or dislikes).
     n.
     1 A number representing a comparison between two named things.
     2 (lb en arithmetic) The relative magnitudes of two quantities
  (usually expressed as a quotient).
     3 (lb en legal) (short for en ratio decidendi)
     4 (lb en Internet) The number of comments to a post or other
  expression on social media relative to the number of likes; a high ratio
  suggests disagreement with the contents of the original post.
     vb.
     (lb en transitive Internet slang) To respond to a post or message on
  social media in a greater number than the number of likes the post
  receives, especially to condemn or mock the original poster.

From English Wiktionary: Western, Greek, and Slavonic languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western_Greek_Slavonic-2023-07-27 ]


  ratio
     French n.
     (lb fr mathematics) (l en ratio)
     interj.
     (lb en neologism Twitter) (n-g: Indicates disagreement with a post
  the user disagrees with or dislikes).
     n.
     1 A number representing a comparison between two named things.
     2 (lb en arithmetic) The relative magnitudes of two quantities
  (usually expressed as a quotient).
     3 (lb en legal) (short for en ratio decidendi)
     4 (lb en Internet) The number of comments to a post or other
  expression on social media relative to the number of likes; a high ratio
  suggests disagreement with the contents of the original post.
     vb.
     (lb en transitive Internet slang) To respond to a post or message on
  social media in a greater number than the number of likes the post
  receives, especially to condemn or mock the original poster.
     Latin n.
     1 reason, reasoning, explanation, ground, motive, rationality,
  rationale, purpose
     2 calculation, account, accounting, reckoning, computation, business
     3 procedure, course, manner, method, mode, conduct, plan
     4 theory, view
     5 doctrine, system, philosophy (gloss: collective body of the
  teachings of a school of thought)
     6 view, opinion, advice, consult
     7 register (gloss: list)
     8 regard, respect, interest, consideration
     9 reference, relation, respect

From English Wiktionary: Western, Greek, and Slavonic languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western_Greek_Slavonic-2023-07-27 ]


  Ratio
     German n.
     f (lb de philosophy) reason

From English Wiktionary: Western languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western-2023-07-27 ]


  ratio
     French n.
     (lb fr mathematics) (l en ratio)
     interj.
     (lb en neologism Twitter) (n-g: Indicates disagreement with a post
  the user disagrees with or dislikes).
     n.
     1 A number representing a comparison between two named things.
     2 (lb en arithmetic) The relative magnitudes of two quantities
  (usually expressed as a quotient).
     3 (lb en legal) (short for en ratio decidendi)
     4 (lb en Internet) The number of comments to a post or other
  expression on social media relative to the number of likes; a high ratio
  suggests disagreement with the contents of the original post.
     vb.
     (lb en transitive Internet slang) To respond to a post or message on
  social media in a greater number than the number of likes the post
  receives, especially to condemn or mock the original poster.
     Latin n.
     1 reason, reasoning, explanation, ground, motive, rationality,
  rationale, purpose
     2 calculation, account, accounting, reckoning, computation, business
     3 procedure, course, manner, method, mode, conduct, plan
     4 theory, view
     5 doctrine, system, philosophy (gloss: collective body of the
  teachings of a school of thought)
     6 view, opinion, advice, consult
     7 register (gloss: list)
     8 regard, respect, interest, consideration
     9 reference, relation, respect

From English Wiktionary: Western languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western-2023-07-27 ]


  Ratio
     German n.
     f (lb de philosophy) reason

From Finnish Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-fi-ALL-2023-07-27 ]


  ratio
     Englanti n.
     suhde(luku)

From Swedish Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-sv-ALL-2023-07-27 ]


  ratio
     Engelska n.
     förhållande, kvot, proportion

From German - English Ding/FreeDict dictionary ver. 1.9-fd1 : [ freedict:deu-eng ]


  Ratio /rˈɑtɪˌoː/ 
  pure reason , rational logic

From Deutsch-français FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:deu-fra ]


  Ratio /ˈʁaːt͡si̯o/ 
  1. raison
  bildungssprachlich: logisch schlussfolgernder Verstand; Vernunft
  2. ratio
  Mathematik: Verhältnis, Quotient

From Deutsch-Bahasa Indonesia FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:deu-ind ]


  Ratio /ˈʁaːt͡si̯o/ 
  alas
  bildungssprachlich: logisch schlussfolgernder Verstand; Vernunft

From English-Arabic FreeDict Dictionary ver. 0.6.3 : [ freedict:eng-ara ]


  Ratio /ɹˈeɪʃɪˌəʊ/
  النسبة

From English-български език FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:eng-bul ]


  ratio //ˈɹeɪ.si.əʊ// //ˈɹeɪ.ʃi.əʊ// //ˈɹeɪ.ʃiˌoʊ// //ˈɹeɪ.ʃoʊ// //ˈɹeɪ.ʃəʊ// 
  1. отношение
  arithmetics: relative magnitude of two quantities expressed as quotient
  2. съотношение
  number representing comparison