different between arithmetic vs quadrivium

English

Alternative forms

• arsmetrike, arsmetryke (obsolete)

Etymology

From Middle English arsmetike, from Old French arismetique, from Latin arithm?tica, arithmeticus, from Ancient Greek ?????????? (?????) (arithm?tik? (tékhn?), “(art of) counting”), feminine of ??????????? (arithm?tikós, “arithmetical”), from ??????? (arithmós, “number, counting”), from Proto-Indo-European *h?ri-d?h?-mó-s, form of *h?rey- (“to count, reason”). Used in English since 13th century.

Pronunciation

• (noun): (Received Pronunciation, General American) enPR: ?r?th'm?t?k, IPA^(key): /?????m?t?k/
• (adjective): (Received Pronunciation, General American) enPR: ?r?thm?t'?k, IPA^(key): /æ????m?t?k/
• Hyphenation: arith?met?ic

Noun

arithmetic (usually uncountable, plural arithmetics)

1. The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
   • 1992, Douglas M. Priest, On Properties of Floating Point Arithmetics, University of California, Berkeley, page 17,

     Note that all correctly rounding arithmetics satisfy property A1, as do those with properly truncating addition. All faithful binary arithmetics and all arithmetics with either properly truncating or correctly chopping addition satisfy property A2.

Hypernyms

• (study): math (US), maths (UK), mathematics

Derived terms

Translations

Adjective

arithmetic (not comparable)

1. (mathematics) Of, relating to, or using arithmetic; arithmetical.

   arithmetic geometry
2. (arithmetic) Of a progression, mean, etc, computed solely using addition.

   arithmetic progression

Coordinate terms

• (computed solely using addition): geometric

Derived terms

Translations

See also

• List of terms used in arithmetic

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).