different between trigonometry vs triangulation

trigonometry

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

trigonometry From the web:

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triangulation

English

Etymology

From Medieval Latin triangul?ti?nem (triangulation), from triangul?re (to triangulate) + -ti?nem (suffix forming nouns relating to some actions or the results of actions). Triangul?re is derived from triangul?ris (triangular), from triangulus (triangular; triangle), from tr?s (three) + angulus (angle; corner). The English word is analysable as triangulate +? -ion, and is cognate with French triangulation.

Pronunciation

  • (Received Pronunciation) IPA(key): /t???a??j??le??n?/
  • (General American) IPA(key): /?t?a??æ??j??le???n/
  • Rhymes: -e???n
  • Hyphenation: tri?an?gu?lat?ion

Noun

triangulation (countable and uncountable, plural triangulations)

  1. (uncountable, surveying) A technique in which distances and directions are estimated from an accurately measured baseline and the principles of trigonometry; (countable) an instance of the use of this technique.
  2. (countable, surveying) The network of triangles so obtained, that are the basis of a chart or map.
  3. (countable, chess) A delaying move in which the king moves in a triangular path to force the advance of a pawn.
  4. (countable, geometry) A subdivision of a planar object into triangles, and by extension the subdivision of a higher-dimension geometric object into simplices.
  5. (uncountable, navigation, seismology) A process by which an unknown location is found using three known distances from known locations.
  6. (uncountable, politics) The practice of repositioning one's group or oneself on the political spectrum in an attempt to capture the centre.
  7. (uncountable, qualitative research) The use of three (or more) researchers to interview the same people or to evaluate the same evidence to reduce the impact of individual bias.

Hypernyms

  • polygonation

Coordinate terms

  • quadrangulation

Derived terms

Related terms

Translations

Notes

References

Further reading

  • triangulation on Wikipedia.Wikipedia
  • triangulation (chess) on Wikipedia.Wikipedia
  • triangulation (geometry) on Wikipedia.Wikipedia
  • triangulation (politics) on Wikipedia.Wikipedia
  • triangulation (social science) on Wikipedia.Wikipedia
  • triangulation (surveying) on Wikipedia.Wikipedia
  • triangulation (topology) on Wikipedia.Wikipedia
  • triangulation (disambiguation) on Wikipedia.Wikipedia

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