different between geometry vs trigonometry

English

Etymology

From Old French géométrie, from Latin geometria, from Ancient Greek ????????? (ge?metría, “geometry, land-survey”), from ????????? (ge?métr?s, “land measurer”), from ?? (gê, “earth, land, country”) + -?????? (-metría, “measurement”), from ?????? (métron, “a measure”).

Doublet of gematria.

Pronunciation

• (US) IPA^(key): /d?i??m?t?i/
• (UK) IPA^(key): /d?i???m?t?i/, /?d??m?t?i/

Noun

geometry (countable and uncountable, plural geometries)

1. (mathematics, uncountable) The branch of mathematics dealing with spatial relationships.
   • 1925, David Eugene Smith, Marcia Latham (translators), René Descartes, The Geometry of Rene Descartes, [1637, La Géométrie], 2007, Cosimo Classics, page 2,

     ANY problem in geometry can easily be reduced to such terms that a knowledge of the lengths of certain straight lines is sufficient for its construction.

2. (mathematics, often qualified in combination, countable) A mathematical system that deals with spatial relationships and that is built on a particular set of axioms; a subbranch of geometry which deals with such a system or systems.
   • 1975 [Addison-Wesley], Eugene F. Krause, Taxicab Geometry, 1986, Dover, page 64,

     Entire new geometries are also suggested by real-world cities.

   • 2004, Judith Cederberg, A Course in Modern Geometries, Springer, page 1,

     Finite geometries were developed in the late nineteenth century, in part to demonstrate and test the axiomatic properties of completeness, consistency, and independence.

   • 2006, Mark Wagner, The Geometries of Visual Space, Lawrence Erlbaum Associates, page ix,

     Previous theorists have often tried to test whether visual space is best described by a small set of traditional geometries, such as the Euclidean geometry most of us studied in High School or the hyperbolic and spherical geometries introduced by 19^th-century mathematicians.

3. (countable) The observed or specified spatial attributes of an object, etc.
   • 2018 March 14, Roger Penrose, 'Mind over matter': Stephen Hawking – obituary, in The Guardian,

     He was extremely highly regarded, in view of his many greatly impressive, sometimes revolutionary, contributions to the understanding of the physics and the geometry of the universe.

4. (algebraic geometry, countable) A mathematical object comprising representations of a space and of its spatial relationships.

Holonyms

• mathematics

Derived terms

Related terms

• gematria
• geometer
• geometric
• geometrical

Translations

See also

• topology

Further reading

• geometry on Wikipedia.Wikipedia
• geometry in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• geometry at OneLook Dictionary Search
• Geometry on Encyclopedia of Mathematics
• Geometry on Wolfram MathWorld
• Geometry on Wikibooks

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