A Treatise On Algebra Embracing Besides the Elementary Principles All the Hig
A Treatise On Algebra Embracing Besides the Elementary Principles All the Hig
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JV= log. (14-w)= n-— !-_±_ — i_-J (10) Re-substitutins: a — 1 for m, and we have log. (1 + n): n — ln--\-\n^ — i^^+ &c.
(11) If we assume 1 M (a-l)-Ka-ir+K«-l)'— K«-l)' + &c we shall have loc. {\-\-n) = M \n—^y-+'^n^—\n'+\n^—kc. ]. (B) If the base be so chosen as to render M= 1, then for- mula (B) will become log. (1+n) Ln- + in3 &c. (C) (238. ) The logarithms obtained by formula (C) are called hyperbolic or JVapierean, whilst the common loga- rithms given by formula (B), are called Briggean.
L...ord Napier, or Neper, is supposed to have first con- structed logarithms. The logarithms in common use, were first calculated by Mr. Briggs.
(239. ) We shall hereafter denote the Napierean loga- rithms by the abbreviation JV* log. , whilst the common or LOGARITHMS, 313 Briggean logarithms will be represented simply by log.
Hence formula (C) will become JVlog. (l-j-n)=w — i7i--f i;i3_, ^^, _^^^6_&P ^Q, ^ (240. ) By comparing formulas (B) and (C) we discover this relation . /J/XJVlog.
What to read after A Treatise On Algebra Embracing Besides the Elementary Principles All the Hig?
You can find similar books in the "Read Also" column, or choose other free books by George R George Roberts Perkins to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
JV= log. (14-w)= n-— !-_±_ — i_-J (10) Re-substitutins: a — 1 for m, and we have log. (1 + n): n — ln--\-\n^ — i^^+ &c.
(11) If we assume 1 M (a-l)-Ka-ir+K«-l)'— K«-l)' + &c we shall have loc. {\-\-n) = M \n—^y-+'^n^—\n'+\n^—kc. ]. (B) If the base be so chosen as to render M= 1, then for- mula (B) will become log. (1+n) Ln- + in3 &c. (C) (238. ) The logarithms obtained by formula (C) are called hyperbolic or JVapierean, whilst the common loga- rithms given by formula (B), are called Briggean.
L...ord Napier, or Neper, is supposed to have first con- structed logarithms. The logarithms in common use, were first calculated by Mr. Briggs.
(239. ) We shall hereafter denote the Napierean loga- rithms by the abbreviation JV* log. , whilst the common or LOGARITHMS, 313 Briggean logarithms will be represented simply by log.
Hence formula (C) will become JVlog. (l-j-n)=w — i7i--f i;i3_, ^^, _^^^6_&P ^Q, ^ (240. ) By comparing formulas (B) and (C) we discover this relation . /J/XJVlog.
What to read after A Treatise On Algebra Embracing Besides the Elementary Principles All the Hig?
You can find similar books in the "Read Also" column, or choose other free books by George R George Roberts Perkins to read onlineMoreLess
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