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Everything about Cartesian coordinate system
Coordinate system using perpendicular axes
In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes of the system. The point where the axes meet is called the origin and has (0, 0) as coordinates. The axes directions represent an orthogonal basis. The combination of origin and basis forms a coordinate frame called the Cartesian frame. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Cartesian coordinate systemA 5-minute orientation
- Skim a recent paper: MEIoT 2D-CACSET: IoT Two-Dimensional Cartesian Coordinate System Educational Toolkit Align with Educational Mechatronics FrameworkInfluential work since 2022
- Pick up a classic book: On automating domain connectivity for overset gridsThe most-reprinted book on the subject
- Read the landmark paper: Self-Tuning Manipulator Control in Cartesian Base Coordinate SystemCited 25 times
- Go sideways: Coordinate systemA closely related topic
- Go sideways: Euclidean planeA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Self-Tuning Manipulator Control in Cartesian Base Coordinate System
Closed formulae for transformation of the cartesian coordinate system into a system of geodetic coordinates
A Cartesian Coordinate Algorithm for Power System State Estimation
Refinement on non-hydrostatic shallow granular flow model in a global Cartesian coordinate system
Two-Dimensional Cartesian Coordinate System Educational Toolkit: 2D-CACSET
Imaginary Points in Cartesian Coordinate System
Graphical model of an elastic medium in a cartesian coordinate system
Imaginary Straight Lines in Cartesian Coordinate System
🆕 Influential since 2022
MEIoT 2D-CACSET: IoT Two-Dimensional Cartesian Coordinate System Educational Toolkit Align with Educational Mechatronics Framework
Three-dimensional magnetotelluric modeling in the spherical and Cartesian coordinate systems: A comparative study
Convective flow between inclined plates using Cartesian coordinate system
Mapping Ground-based Coronagraphic Images to Helioprojective-Cartesian Coordinate System by Image Registration
Jerk limited continuous tool path generation for flexible systems in non-cartesian coordinate systems
📚 Books worth reading
- 📕On automating domain connectivity for overset gridsIng-Tsau Chiu · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Coordinate system In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the position of the points…
- Euclidean plane In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted 𝐄2 or 𝔼2. It is a geometric space in which two real numbers are required…
- Analytic geometry In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts…
- Real coordinate space In mathematics, the real coordinate space of dimension n, denoted Rn or ℝn, is the set of all n-tuples of real numbers, that is, all ordered lists of n…
- Transformation matrix In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping ℝn to ℝm and 𝐱 is a column vector with…
- Affine transformation In Euclidean geometry, an affine transformation or affinity (from the Latin, affinis, "connected with") is a geometric transformation that preserves lines…
- Rotation (mathematics) Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe…
- Line (geometry) In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature. It is a special case of a curve…