cartesian plane
Học thuậtThân thiện
Definition
- Noun:
- A coordinate plane: A two-dimensional plane formed by two perpendicular number lines that intersect at a point called the origin. Every point on this plane can be uniquely identified by an ordered pair of numbers, known as Cartesian coordinates.
Usage
- The Cartesian plane is the fundamental framework for graphing algebraic equations and geometric shapes.
- In mathematics, the Cartesian plane is used to visually represent relationships between two variables.
Examples
- Noun:
- The student plotted the linear equation y = 2x + 1 on the Cartesian plane.
- The concept of the Cartesian plane is essential for understanding coordinate geometry.
Advanced Usage
- "The Cartesian plane is divided into four quadrants.": This describes the four regions created by the intersection of the x-axis and y-axis, numbered counterclockwise from the upper right.
- "Mapping data onto a Cartesian plane": Refers to the process of representing numerical data as points on this coordinate system for analysis.
Variants and Related Words
- Coordinate plane (n): A synonym for Cartesian plane.
- Cartesian coordinates (n): The ordered pair (x, y) that defines the position of a point on a Cartesian plane.
- Cartesian coordinate system (n): The system comprising the Cartesian plane and its axes.
Synonyms
- Coordinate plane: A plane with a coordinate system.
- Coordinate grid: A network of lines on such a plane.
Related Terms
- X-axis (n): The horizontal number line on a Cartesian plane.
- Y-axis (n): The vertical number line on a Cartesian plane.
- Origin (n): The point (0, 0) where the x-axis and y-axis intersect.
Noun
- a plane in which all points can be described in Cartesian coordinates