different between geometry vs quadrivium

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 Medieval Latin quadrivium (“the four mathematical studies”), from Latin quattuor (“four”) + via (“road”).

Noun

quadrivium (plural quadriviums or quadrivia)

1. (education, historical) The higher division of the seven liberal arts in the Middle Ages, composed of geometry, astronomy, arithmetic, and music.

Coordinate terms

• trivium

Translations

Latin

Alternative forms

• *quadruvium (Vulgar)

Etymology

From quattuor (“four”) +? via (“road”).

Pronunciation

• (Classical) IPA^(key): /k?a?dri.u?i.um/, [k?ä?d???u?i???]
• (Ecclesiastical) IPA^(key): /kwa?dri.vi.um/, [kw??d??i?vium]

Noun

quadrivium n (genitive quadrivi? or quadriv?); second declension

1. a crossroads; place where four ways meet.
2. (Medieval Latin) the quadrivium (the four mathematical liberal arts)

Declension

Second-declension noun (neuter).

¹Found in older Latin (until the Augustan Age).

Descendants

• English: quadrivium
• Old French: carroge, carouge
  • French: Carouge, Carrouge (towns in Switzerland)
• Polish: quadrivium, kwadrywium

References

• quadrivium in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
• quadrivium in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
• quadrivium in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 1883–1887)
• quadrivium in Gaffiot, Félix (1934) Dictionnaire illustré Latin-Français, Hachette
• quadrivium in Harry Thurston Peck, editor (1898) Harper's Dictionary of Classical Antiquities, New York: Harper & Brothers
• Godefroy, Frédéric, Dictionnaire de l'ancienne langue française et de tous ses dialectes du IX^e au XV^e siècle (1881) (carroge)
• “carrefour” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).