What is meant by Euclidean geometry?
The term "Euclidean geometry" refers to the classical system of geometry based on the axioms and postulates of the Greek mathematician Euclid. This geometry deals with the properties and relationships of points, lines, planes, and solids in two-dimensional and three-dimensional space.
Typical software functions in the area of "Euclidean geometry":
- Construction Tools: Functions for drawing and constructing geometric figures such as lines, circles, triangles, and polygons.
- Measurement Tools: Tools for measuring distances, angles, areas, and volumes.
- Transformations: Operations such as translation, rotation, scaling, and reflection of geometric objects.
- Intersection Calculation: Determining the intersection points of lines, circles, and other geometric shapes.
- Geometric Proofs: Functions to support the creation and verification of geometric proofs.
- 3D Modeling: Tools for creating and manipulating three-dimensional geometric objects.
- Visualization: Functions for displaying geometric objects in 2D and 3D, often with interactive elements.
- Coordinate Systems: Support for Cartesian and other coordinate systems for placing and manipulating objects.