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Summary Of: Cartesian coordinates

Cartesian coordinates are often used to represent two or three dimensions of space... the algebra of Cartesian coordinates can be extended relatively easily to four or more variables... is often helpful to use the geometry of Cartesian coordinates in two or three dimensions to visualize algebraic relationships between two or three...

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Fig. 1 - Cartesian coordinate system. Four points are marked: (2,3) in green, (-3,1) in red, (-1.5,-2.5) in blue and (0,0), the origin, in yellow. | | Fig. 2 - Cartesian coordinate system with the circle of radius 2 centered at the origin marked in red. The equation of the circle is x2 + y2 = 4. | | mathematics | point | plane | numbers | abscissa | ordinate | perpendicular | directed | unit length | space | higher dimensions | geometric | curves | algebraic | equations | French | mathematician | philosopher | René Descartes | algebra | Euclidean geometry | analytic geometry | calculus | cartography | 1637 | Pierre de Fermat | Discourse on Method | point | citation needed | La Géométrie | Fig. 3 - The four quadrants of a Cartesian coordinate system. The arrows on the axes indicate that they extend forever in their respective directions (i.e. infinitely). | | coordinate system | right angles | horizontal | vertical | orthogonal | point | Fig. 4 - Three dimensional Cartesian coordinate system with y-axis pointing away from the observer. | | Fig. 5 - Three dimensional Cartesian coordinate system with the x-axis pointing towards the observer. | | The coordinate surfaces of the Cartesian coordinates (x, y, z). The z-axis is vertical and the x-axis is highlighted in green. Thus, the red plane shows the points with x=1, the blue plane shows the points with z=1, and the yellow plane shows the points with y=-1. The three surfaces intersect at the point P (shown as a black sphere) with the Cartesian coordinates (1.0, -1.0, 1.0). | | coordinate surfaces | points | octants | Orientation (mathematics) | right-hand rule | The right hand rule. | | right hand rule | perpendicular | dubious | discuss | dubious | discuss | right hand rule | dubious | discuss | dubious | discuss | Fig. 7 - The left-handed orientation is shown on the left, and the right-handed on the right. | | Fig. 8 - The right-handed Cartesian coordinate system indicating the coordinate planes. | | line | right-hand rule | index finger | middle finger | thumb | vector | unit vectors | quaternion | Sir William Rowan Hamilton | standard basis | units of measurement | computational geometry | polar coordinates | spherical coordinates | Renaissance | citation needed | perspective | projective geometry | List of canonical coordinate transformations | Graph of a function | Point plotting | Orientation (mathematics) | Right-hand rule | Regular grid | Taxicab geometry | Euclidean space | Curvilinear coordinates | Stereographic projection | Point (geometry) | Line (mathematics) | Plane (mathematics) | Integer point | Complex plane | Coordinates (mathematics) | Coordinate systems | Geocentric coordinates | Parallel coordinates | Orthogonal coordinates | Polar coordinate system | Parabolic coordinate system | Bipolar coordinates | Biangular coordinates | Two-center bipolar coordinates | Hyperbolic coordinates | Elliptic coordinates | Cylindrical coordinate system | Spherical coordinate system | Parabolic coordinate system | Parabolic cylindrical coordinates | Paraboloidal coordinates | Oblate spheroidal coordinates | Prolate spheroidal coordinates | Ellipsoidal coordinates | Elliptic cylindrical coordinates | Toroidal coordinates | Bispherical coordinates | Bipolar cylindrical coordinates | Conical coordinates | René Descartes | Discourse on Method | La Géométrie | Ordered pair | Analytic geometry | Abstraction (mathematics) | Notation system | ISO 31-1 | Graph paper | 2001 | ISBN 0-13-805326-X | Morse PM | Feshbach H | ISBN 0-07-043316-X | LCCN | Margenau H | LCCN | LCCN | LCCN | ISBN 978-0387184302 | PlanetMath | Categories | Coordinate systems | Elementary mathematics | Dimension | René Descartes | All articles with unsourced statements | Articles with unsourced statements since February 2008 | All pages needing cleanup | Articles with disputed statements | Articles with unsourced statements since April 2007 |
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