Cartesian coordinates
Cartesian coordinates (kärtē´zhən) [for René Descartes], system for representing the relative positions of points in a plane or in space. In a plane, the point P is specified by the pair of numbers (x,y) representing the distances of the point from two intersecting straight lines, referred to as the xaxis and the yaxis. The point of intersection of these axes, which are called the coordinate axes, is known as the origin. In rectangular coordinates, the type most often used, the axes are taken to be perpendicular, with the xaxis horizontal and the yaxis vertical, so that the xcoordinate, or abscissa, of P is measured along the horizontal perpendicular from P to the yaxis (i.e., parallel to the xaxis) and the ycoordinate, or ordinate, is measured along the vertical perpendicular from P to the xaxis (parallel to the yaxis). In oblique coordinates the axes are not perpendicular; the abscissa of P is measured along a parallel to the xaxis, and the ordinate is measured along a parallel to the yaxis, but neither of these parallels is perpendicular to the other coordinate axis as in rectangular coordinates. Similarly, a point in space may be specified by the triple of numbers (x,y,z) representing the distances from three planes determined by three intersecting straight lines not all in the same plane; i.e., the xcoordinate represents the distance from the yzplane measured along a parallel to the xaxis, the ycoordinate represents the distance from the xzplane measured along a parallel to the yaxis, and the zcoordinate represents the distance from the xyplane measured along a parallel to the zaxis (the axes are usually taken to be mutually perpendicular). Analogous systems may be defined for describing points in abstract spaces of four or more dimensions. Many of the curves studied in classical geometry can be described as the set of points (x,y) that satisfy some equation f(x,y)=0. In this way certain questions in geometry can be transformed into questions about numbers and resolved by means of analytic geometry.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian coordinates." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian coordinates." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/cartesiancoordinates
"Cartesian coordinates." The Columbia Encyclopedia, 6th ed.. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/cartesiancoordinates
Cartesian projection
Cartesian projection A mapping technique in which every plane in the area being mapped is projected on to a plane in the map and every line on to a line. Each point in the area under study is identified by three values, representing its location in relation to three mutually perpendicular axes (the Cartesian coordinates of the point). These coordinates are transformed mathematically into a homogeneous set of four coordinates which can then be plotted to produce a graphic representation (a map). The word ‘Cartesian’ is derived from the name of the French mathematician René Descartes (1596–1650).
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian projection." A Dictionary of Ecology. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian projection." A Dictionary of Ecology. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/science/dictionariesthesaurusespicturesandpressreleases/cartesianprojection0
"Cartesian projection." A Dictionary of Ecology. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/science/dictionariesthesaurusespicturesandpressreleases/cartesianprojection0
Cartesian projection
Cartesian projection A technique for the mapping of space in which every plane in the area being mapped is projected on to a plane in the map and every line on to a line. Each point in the area under study is identified by three values, representing its location in relation to three mutually perpendicular axes (the Cartesian coordinates of the point). These coordinates are transformed mathematically into a homogeneous set of four coordinates which can then be plotted to produce a graphic representation (a map). The word ‘Cartesian’ is derived from the name of René Descartes (1596–1650).
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian projection." A Dictionary of Earth Sciences. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian projection." A Dictionary of Earth Sciences. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/science/dictionariesthesaurusespicturesandpressreleases/cartesianprojection
"Cartesian projection." A Dictionary of Earth Sciences. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/science/dictionariesthesaurusespicturesandpressreleases/cartesianprojection
Cartesian coordinates
Cartesian coordinates System in which the position of a point is specified by its distances from intersecting lines (axes). In the simplest type – rectangular coordinates in two dimensions – two axes are used at right angles: x and y. The position of a point is then given by a pair of numbers (x, y). The abscissa, x, is the point's distance from the y axis, measured in the direction of the x axis, and the ordinate, y, is the distance from the x axis. The axes in such a system need not be at right angles but should not be parallel to each other. Three axes represent three dimensions.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian coordinates." World Encyclopedia. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian coordinates." World Encyclopedia. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/cartesiancoordinates
"Cartesian coordinates." World Encyclopedia. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/cartesiancoordinates
Cartesian
Cartesian of or relating to the ideas of the philosopher René Descartes (1596–1650), deriving from Cartesius, the Latinized form of his name.
Cartesian coordinates numbers which indicate the location of a point relative to a fixed reference point (the origin), being its shortest (perpendicular) distances from two fixed axes (or three planes defined by three fixed axes) which intersect at right angles at the origin.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian." The Oxford Dictionary of Phrase and Fable. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian." The Oxford Dictionary of Phrase and Fable. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian
"Cartesian." The Oxford Dictionary of Phrase and Fable. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian
Cartesian coordinates
Car·te·sian co·or·di·nates • pl. n. Math. numbers that indicate the location of a point relative to a fixed reference point (the origin), being its shortest (perpendicular) distances from two fixed axes (or three planes defined by three fixed axes) that intersect at right angles at the origin.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian coordinates." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian coordinates." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesiancoordinates
"Cartesian coordinates." The Oxford Pocket Dictionary of Current English. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesiancoordinates
Cartesian
Car·te·sian / kärˈtēzhən/ • adj. of or relating to Descartes and his ideas. • n. a follower of Descartes. DERIVATIVES: Car·te·sian·ism / ˌnizəm/ n.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian1
"Cartesian." The Oxford Pocket Dictionary of Current English. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian1
Cartesian
Cartesian XVII. — modL. Cartesiānus, f. Cartesius, latinized form of the surname of René Descartes, French philosopher and mathematician (1596–1650); see IAN.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian2
"Cartesian." The Concise Oxford Dictionary of English Etymology. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian2
Cartesian
Cartesian
•antipodean, Crimean, Judaean, Korean
•Albion
•Gambian, Zambian
•lesbian
•Arabian, Bessarabian, Fabian, gabion, Sabian, Swabian
•amphibian, Libyan, Namibian
•Sorbian
•Danubian, Nubian
•Colombian • Serbian • Nietzschean
•Chadian, Trinidadian
•Andean, Kandyan
•guardian
•Acadian, Akkadian, Arcadian, Barbadian, Canadian, circadian, Grenadian, Hadean, Orcadian, Palladian, radian, steradian
•Archimedean, comedian, epicedian, median, tragedian
•ascidian, Derridean, Dravidian, enchiridion, Euclidean, Floridian, Gideon, Lydian, meridian, Numidian, obsidian, Pisidian, quotidian, viridian
•Amerindian, Indian
•accordion, Edwardian
•Cambodian, collodion, custodian, melodeon, nickelodeon, Odeon
•Freudian • Bermudian • Burundian
•Burgundian
•Falstaffian, Halafian
•Christadelphian, Delphian, Philadelphian
•nymphean • ruffian • Brobdingnagian
•Carolingian • Swedenborgian
•logion, Muskogean
•Jungian
•magian, Pelagian
•collegian
•callipygian, Cantabrigian, Phrygian, Stygian
•Merovingian • philologian • Fujian
•Czechoslovakian • Pickwickian
•Algonquian • Chomskian
•Kentuckian
•battalion, galleon, medallion, rapscallion, scallion
•Anglian, ganglion
•Heraklion
•Dalian, Malian, Somalian
•Chellean, Machiavellian, Orwellian, Sabellian, Trevelyan, triskelion
•Wesleyan
•alien, Australian, bacchanalian, Castalian, Deucalion, episcopalian, Hegelian, madrigalian, mammalian, Pygmalion, Salian, saturnalian, sesquipedalian, tatterdemalion, Thessalian, Westphalian
•anthelion, Aristotelian, Aurelian, carnelian, chameleon, Karelian, Mendelian, Mephistophelian, Pelion, Sahelian
•Abbevillian, Azilian, Brazilian, caecilian, Castilian, Chilean, Churchillian, civilian, cotillion, crocodilian, epyllion, Gillian, Lilian, Maximilian, Pamphylian, pavilion, postilion, Quintilian, reptilian, Sicilian, Tamilian, vaudevillian, vermilion, Virgilian
•Aeolian, Anatolian, Eolian, Jolyon, Mongolian, napoleon, simoleon
•Acheulian, Boolean, cerulean, Friulian, Julian, Julien
•bullion
•mullion, scullion, Tertullian
•Liverpudlian
•Bahamian, Bamian, Damian, Mesopotamian, Samian
•anthemion, Bohemian
•Endymion, prosimian, Simeon, simian
•isthmian • antinomian
•Permian, vermian
•Oceanian
•Albanian, Azanian, Iranian, Jordanian, Lithuanian, Mauritanian, Mediterranean, Panamanian, Pennsylvanian, Pomeranian, Romanian, Ruritanian, Sassanian, subterranean, Tasmanian, Transylvanian, Tripolitanian, Turanian, Ukrainian, Vulcanian
•Armenian, Athenian, Fenian, Magdalenian, Mycenaean (US Mycenean), Slovenian, Tyrrhenian
•Argentinian, Arminian, Augustinian, Carthaginian, Darwinian, dominion, Guinean, Justinian, Ninian, Palestinian, Sardinian, Virginian
•epilimnion, hypolimnion
•Bosnian
•Bornean, Californian, Capricornian
•Aberdonian, Amazonian, Apollonian, Babylonian, Baconian, Bostonian, Caledonian, Catalonian, Chalcedonian, Ciceronian, Devonian, draconian, Estonian, Etonian, gorgonian, Ionian, Johnsonian, Laconian, Macedonian, Miltonian, Newtonian, Oregonian, Oxonian, Patagonian, Plutonian, Tennysonian, Tobagonian, Washingtonian
•Cameroonian, communion, Mancunian, Neptunian, Réunion, union
•Hibernian, Saturnian
•Campion, champion, Grampian, rampion, tampion
•thespian • Mississippian • Olympian
•Crispian
•Scorpian, scorpion
•cornucopian, dystopian, Ethiopian, Salopian, subtopian, Utopian
•Guadeloupian
•Carian, carrion, clarion, Marian
•Calabrian, Cantabrian
•Cambrian • Bactrian
•Lancastrian, Zoroastrian
•Alexandrian • Maharashtrian
•equestrian, pedestrian
•agrarian, antiquarian, apiarian, Aquarian, Arian, Aryan, authoritarian, barbarian, Bavarian, Bulgarian, Caesarean (US Cesarean), centenarian, communitarian, contrarian, Darien, disciplinarian, egalitarian, equalitarian, establishmentarian, fruitarian, Gibraltarian, grammarian, Hanoverian, humanitarian, Hungarian, latitudinarian, libertarian, librarian, majoritarian, millenarian, necessarian, necessitarian, nonagenarian, octogenarian, ovarian, Parian, parliamentarian, planarian, predestinarian, prelapsarian, proletarian, quadragenarian, quinquagenarian, quodlibetarian, Rastafarian, riparian, rosarian, Rotarian, sabbatarian, Sagittarian, sanitarian, Sauveterrian, sectarian, seminarian, septuagenarian, sexagenarian, topiarian, totalitarian, Trinitarian, ubiquitarian, Unitarian, utilitarian, valetudinarian, vegetarian, veterinarian, vulgarian
•Adrian, Hadrian
•Assyrian, Illyrian, Syrian, Tyrian
•morion • Austrian
•Dorian, Ecuadorean, historian, Hyperborean, Nestorian, oratorian, praetorian (US pretorian), salutatorian, Salvadorean, Singaporean, stentorian, Taurean, valedictorian, Victorian
•Ugrian • Zarathustrian
•Cumbrian, Northumbrian, Umbrian
•Algerian, Cancerian, Chaucerian, Cimmerian, criterion, Hesperian, Hitlerian, Hyperion, Iberian, Liberian, Nigerian, Presbyterian, Shakespearean, Siberian, Spenserian, Sumerian, valerian, Wagnerian, Zairean
•Arthurian, BenGurion, centurion, durian, holothurian, Khachaturian, Ligurian, Missourian, Silurian, tellurian
•Circassian, Parnassian
•halcyon • Capsian • Hessian
•Albigensian, Waldensian
•Dacian • Keatsian
•Cilician, Galician, Lycian, Mysian, Odyssean
•Leibnizian • Piscean • Ossian
•Gaussian • Joycean • Andalusian
•Mercian • Appalachian • Decian
•Ordovician, Priscian
•Lucian
•himation, Montserratian
•Atlantean, Dantean, Kantian
•bastion, Erastian, Sebastian
•Mozartian • Brechtian • Thyestean
•Fortean • Faustian • protean
•Djiboutian
•fustian, Procrustean
•Gilbertian, Goethean, nemertean
•pantheon
•Hogarthian, Parthian
•Lethean, Promethean
•Pythian • Corinthian • Scythian
•Lothian, Midlothian
•Latvian • Yugoslavian
•avian, Batavian, Flavian, Moldavian, Moravian, Octavian, Scandinavian, Shavian
•Bolivian, Maldivian, oblivion, Vivian
•Chekhovian, Harrovian, Jovian, Pavlovian
•alluvion, antediluvian, diluvian, Peruvian
•Servian • Malawian • Zimbabwean
•Abkhazian • Dickensian
•Caucasian, Malaysian, Rabelaisian
•Keynesian
•Belizean, Cartesian, Indonesian, Milesian, Salesian, Silesian
•Elysian, Frisian, Parisian, Tunisian
•Holmesian
•Carthusian, Malthusian, Venusian
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"Cartesian." Oxford Dictionary of Rhymes. . Encyclopedia.com. 13 Dec. 2017 <http://www.encyclopedia.com>.
"Cartesian." Oxford Dictionary of Rhymes. . Encyclopedia.com. (December 13, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian0
"Cartesian." Oxford Dictionary of Rhymes. . Retrieved December 13, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/cartesian0