catflap.org Online Dictionary Query

  Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
     inverse. See Invert.]
     [1913 Webster]
     1. Opposite in order, relation, or effect; reversed;
        inverted; reciprocal; -- opposed to direct.
        [1913 Webster]
  
     2. (Bot.) Inverted; having a position or mode of attachment
        the reverse of that which is usual.
        [1913 Webster]
  
     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 or angle whose sine is x.
        [1913 Webster]
  
     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 ratio, or Reciprocal ratio (Math.), the ratio of
        the reciprocals of two quantities.
  
     Inverse proportion, 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.
        [1913 Webster]

  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]

  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.

  inverse ratio /ɪnvˈɜːs ɹˈeɪʃɪˌəʊ/
  umgekehrtes Verhältnis
        "in inverse ratio"  - im umgekehrten Verhältnis
   see: ratio, ratios, aspect ratio