different between logarithm vs trigonometry

English

Etymology

From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek ????? (lógos, “word, reason”) and ??????? (arithmós, “number”); compare rational number, from analogous Latin.

Pronunciation

• (US) IPA^(key): /?l?.??.??.ð(?)m/, /?l????.??.ð?m/, /?l??.?.??ðm/, /?l??.??.??ðm/
• Hyphenation: log?a?ri?thm

Noun

logarithm (plural logarithms)

1. (mathematics) For a number ${\displaystyle x}$, the power to which a given base number must be raised in order to obtain ${\displaystyle x}$. Written ${\displaystyle \log _{b}x}$. For example, ${\displaystyle \log _{10}1000=3}$ because ${\displaystyle 10^{3}=1000}$ and ${\displaystyle \log _{2}16=4}$ because ${\displaystyle 2^{4}=16}$.

   For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979.

Synonyms

• log

Derived terms

Translations

See also

• ln
• characteristic
• mantissa

Anagrams

• algorithm, mithralog

English

Etymology

From 1610s, from New Latin trig?nometria, from Ancient Greek ???????? (tríg?non, “triangle”) + ?????? (métron, “measure”).

Pronunciation

• IPA^(key): /?t?????n?m?t?i/

Noun

trigonometry (countable and uncountable, plural trigonometries)

1. (geometry, mathematical analysis) The branch of mathematics that deals with the relationships between the sides and angles of (in particular) right-angled triangles, as represented by the trigonometric functions, and with calculations based on said relationships.
   • 1892, Edward Albert Bowser, A Treatise on Plane and Spherical Trigonometry, D. C. Heath & Co., page 1,

     Trigonometry was originally the science which treated only of the sides and angles of plane and spherical triangles; but it has been recently extended so as to include the analytic treatment of all theorems involving the consideration of angular magnitudes.

   • 2013, Paul Abbott, Hugh Neill, Trigonometry: A Complete Introduction, Hachette, unnumbered page,

     In fact, the earliest practical uses of trigonometry were in the fields of astronomy and hence navigation.

   • 2016, Carl F. Lorenzo, Tom T. Hartley, The Fractional Trigonometry, Wiley, page 8,

     The properties of these new trigonometries and identities flowing from the definitions are then developed.

     The trigonometries derived from these generalizations will be jointly termed "The Fractional Trigonometry."

Synonyms

• (branch of mathematics): trig (informal, abbreviation)

Derived terms

• plane trigonometry
• spherical trigonometry

Related terms

• geometry
• trigon
• trigonometric
• trigonometrist

Translations

Further reading

• Trigonometric functions on Wikipedia.Wikipedia
• Trigonometric tables on Wikipedia.Wikipedia
• Pythagorean trigonometric identity on Wikipedia.Wikipedia
• List of trigonometric identities on Wikipedia.Wikipedia

References