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3 definitions found
 for Proportional logarithms
From The Collaborative International Dictionary of English v.0.48 :

  Logarithm \Log"a*rithm\ (l[o^]g"[.a]*r[i^][th]'m), n. [Gr.
     lo`gos word, account, proportion + 'ariqmo`s number: cf. F.
     logarithme.] (Math.)
     One of a class of auxiliary numbers, devised by John Napier,
     of Merchiston, Scotland (1550-1617), to abridge arithmetical
     calculations, by the use of addition and subtraction in place
     of multiplication and division.
     Note: The relation of logarithms to common numbers is that of
           numbers in an arithmetical series to corresponding
           numbers in a geometrical series, so that sums and
           differences of the former indicate respectively
           products and quotients of the latter; thus,
           0 1 2 3 4 Indices or logarithms
           1 10 100 1000 10,000 Numbers in geometrical progression
           Hence, the logarithm of any given number is the
           exponent of a power to which another given invariable
           number, called the base, must be raised in order to
           produce that given number. Thus, let 10 be the base,
           then 2 is the logarithm of 100, because 10^{2 = 100,
           and 3 is the logarithm of 1,000, because 10^{3 =
           [1913 Webster]
     Arithmetical complement of a logarithm, the difference
        between a logarithm and the number ten.
     Binary logarithms. See under Binary.
     Common logarithms, or Brigg's logarithms, logarithms of
        which the base is 10; -- so called from Henry Briggs, who
        invented them.
     Gauss's logarithms, tables of logarithms constructed for
        facilitating the operation of finding the logarithm of the
        sum of difference of two quantities from the logarithms of
        the quantities, one entry of those tables and two
        additions or subtractions answering the purpose of three
        entries of the common tables and one addition or
        subtraction. They were suggested by the celebrated German
        mathematician Karl Friedrich Gauss (died in 1855), and are
        of great service in many astronomical computations.
     Hyperbolic logarithm or Napierian logarithm or Natural
     logarithm, a logarithm (devised by John Speidell, 1619) of
        which the base is e (2.718281828459045...); -- so called
        from Napier, the inventor of logarithms.
     Logistic logarithms or Proportional logarithms, See under
        [1913 Webster] Logarithmetic

From The Collaborative International Dictionary of English v.0.48 :

  Logistic \Lo*gis"tic\, Logistical \Lo*gis"tic*al\, a. [Gr. ?
     skilled in calculating, ? to calculate, fr. lo`gos word,
     number, reckoning: cf. F. logistique.]
     1. Logical. [Obs.] --Berkeley.
        [1913 Webster]
     2. (Math.) Sexagesimal, or made on the scale of 60; as,
        logistic, or sexagesimal, arithmetic.
        [1913 Webster]
     3. Of or pertaining to logistics; as, logistic requirements;
        logistical problems; a logistical nightmare.
     Logistic logarithms, or Proportional logarithms, certain
        logarithmic numbers used to shorten the calculation of the
        fourth term of a proportion of which one of the terms is a
        given constant quantity, commonly one hour, while the
        other terms are expressed in minutes and seconds; -- not
        now used.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Proportional \Pro*por"tion*al\, a. [L. proportionalis: cf. F.
     1. Having a due proportion, or comparative relation; being in
        suitable proportion or degree; as, the parts of an edifice
        are proportional. --Milton.
        [1913 Webster]
     2. Relating to, or securing, proportion. --Hutton.
        [1913 Webster]
     3. (Math.) Constituting a proportion; having the same, or a
        constant, ratio; as, proportional quantities; momentum is
        proportional to quantity of matter.
        [1913 Webster]
     Proportional logarithms, logistic logarithms. See under
     Proportional scale, a scale on which are marked parts
        proportional to the logarithms of the natural numbers; a
        logarithmic scale.
     Proportional scales, compasses, dividers, etc.
        (Draughting), instruments used in making copies of
        drawings, or drawings of objects, on an enlarged or
        reduced scale.
        [1913 Webster]

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