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  1. Overview

    In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a … See more

    Cartesian coordinate system - Wikipedia

    • The usual way of orienting the plane, with the positive x-axis pointing right and the positive y-axis pointing up (and the x-axis being the "first" and the y-axis the "second" axis), is considered the positive or standard orientation, also called the right-handed orientation. See more

    Cartesian Coordinates Explained
    Cartesian Coordinates Explained
    The Cartesian coordinate system is a way of locating points in a plane or in space using numbers called coordinates.
    History

    The adjective Cartesian refers to the French mathematician and philosopher René Descartes, who published this idea in 1637 while he was resident in the Netherlands. It was independently discovered by Pierre de Fermat, … See more

    Description

    An affine line with a chosen Cartesian coordinate system is called a number line. Every point on the line has a real-number coordinate, and every real number represents some point on the line.
    There are two … See more

    Notations and conventions

    The Cartesian coordinates of a point are usually written in parentheses and separated by commas, as in (10, 5) or (3, 5, 7). The origin is often labelled with the capital letter O. In analytic geometry, unknown or generic coo… See more

    Cartesian formulae for the plane

    The Euclidean distance between two points of the plane with Cartesian coordinates and is
    This is the Cartesian version of Pythagoras's theorem. In three-dimensional space, the … See more

    Orientation and handedness

    Fixing or choosing the x-axis determines the y-axis up to direction. Namely, the y-axis is necessarily the perpendicular to the x-axis through the point marked 0 on the x-axis. But there is a choice of which of the two half lin… See more

    Representing a vector in the standard basis

    A point in space in a Cartesian coordinate system may also be represented by a position vector, which can be thought of as an arrow pointing from the origin of the coordinate system to the point. If the coordinate… See more

     
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  3. Cartesian Plane: Definition, Axes, Origin, Quadrants & Examples

     
  4. Cartesian Plane - Definition, Meaning, Quadrants, Examples

  5. Cartesian Coordinate System - Meaning, Example, …

    In the cartesian system, the x-coordinate of a point is its perpendicular distance from the y-axis. It is measured along the x-axis which is positive along the positive direction and negative along the negative direction. For point P, it is +5 on the …

  6. Cartesian Plane (One, Two, Three Dimensional Plane With …

  7. Cartesian Coordinates - Math is Fun

    Cartesian coordinates can be used to pinpoint where we are on a map or graph. Using Cartesian Coordinates we mark a point on a graph by how far along and how far up it is: The point (12,5) is 12 units along, and 5 units up. They are …

  8. 13.1.1: The Coordinate Plane - Mathematics LibreTexts

    Plot ordered pairs on a coordinate plane. Given an ordered pair, determine its quadrant. The coordinate plane was developed centuries ago and refined by the French mathematician René Descartes. In his honor, the system is sometimes …

  9. Coordinate plane - Math.net

    Count in either the positive (right) or negative (left) direction along the x-axis to determine a point's horizontal position. Count in either the positive (up) or negative (down) direction along the y-axis to determine a point's vertical …

  10. Quadrant - Definition, Graph, Cartesian Plane, Signs

    The X and the Y axes divide the cartesian plane into four graph quadrants: First quadrant: It is on the upper right-hand corner of the plane. In this quadrant, both x and y-coordinates are positive. Second quadrant: It is on the upper left-hand …

  11. Coordinate Plane or Cartesian Plane (solutions, …

    The coordinate plane or Cartesian plane is a basic concept for coordinate geometry. It describes a two-dimensional plane in terms of two perpendicular lines or axes: x -axis and y -axis. The x -axis forms a horizontal number line …

  12. The Coordinate Plane - Math Open Reference

  13. Master the Cartesian Plane: Essential Guide for Students

  14. The Cartesian plane | Graphs - Siyavula

  15. Cartesian coordinates | Definition & Facts | Britannica

  16. Cartesian Plane - MATH LAKE

  17. Cartesian Plane: A Simple Explanation - Andrea Minini

  18. 2.2: Graphing on the Cartesian Coordinate Plane

  19. Cartesian Plane | Definition, History & Quadrants | Study.com

  20. Cartesian coordinates - Math Insight

  21. Coordinate Geometry: The Cartesian Plane - ThoughtCo