different between quadrant vs orthant

English

Alternative forms

• quadraunt (obsolete)

Etymology

Borrowed from Latin quadrantem, accusative singular of quadr?ns (“fourth part of something, quarter”).

Pronunciation

• enPR: kw?d?r?nt, IPA^(key): /?kw?d.??nt/

Noun

quadrant (plural quadrants)

1. One of the four sections made by dividing an area with two perpendicular lines.
2. (mathematics) One of the four regions of the Cartesian plane bounded by the x-axis and y-axis.
3. (geometry) One fourth of a circle or disc; a sector with an angle of 90°.
4. (nautical) A measuring device with a graduated arc of 90° used in locating an altitude.
5. (college basketball) One of the four categories of team wins and losses, as categorized by strength of schedule.

Translations

See also

• octant
• sextant

Catalan

Etymology

From Latin quadr?ns (“fourth part of something, quarter”).

Pronunciation

• (Balearic) IPA^(key): /kw??d?ant/
• (Central) IPA^(key): /kw??d?an/
• (Valencian) IPA^(key): /kwa?d?ant/

Noun

quadrant m (plural quadrants)

1. quadrant

Further reading

• “quadrant” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.
• “quadrant” in Gran Diccionari de la Llengua Catalana, Grup Enciclopèdia Catalana.
• “quadrant” in Diccionari normatiu valencià, Acadèmia Valenciana de la Llengua.
• “quadrant” in Diccionari català-valencià-balear, Antoni Maria Alcover and Francesc de Borja Moll, 1962.

French

Etymology

From Latin quadr?ns (“fourth part of something, quarter”).

Noun

quadrant m (plural quadrants)

1. quadrant

Further reading

• “quadrant” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Latin

Verb

quadrant

1. third-person plural present active indicative of quadr?

English

Noun

orthant (plural orthants)

1. (geometry) A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space).
   • 1992, Hal R. Varian, Microeconomic Analysis (3rd ed.), Norton, p. 114

     Consider preferences defined over the nonnegative orthant by ${\displaystyle (x_{1},x_{2})\succ (y_{1},y_{2})}$ if ${\displaystyle x_{1}+x_{2}<y_{1}+y_{2}}$ […]

Synonyms

• hyperoctant