Search for "Euclidean geometry" in article titles:

1. Euclidean geometry: Euclidean geometry is a form of geometry first codified by Euclid in his series of thirteen books, The Elements. Some of the concepts used and described in Euclidean geometry are. [100%] 2023-06-16
2. Euclidean geometry: The geometry of space described by the system of axioms first stated systematically (though not sufficiently rigorous) in the Elements of Euclid. The space of Euclidean geometry is usually described as a set of objects of three kinds, called "points ... (Mathematics) [100%] 2023-10-17 [Geometry]
3. Euclidean geometry: Euclidean geometry is the branch of mathematics that deals with properties of shapes and spatial relationships. In its modern form, it is the pure mathematics of points and lines and curves and surfaces. [100%] 2023-02-19 [Geometry]
4. Euclidean geometry: Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions ... (Mathematical model of the physical space) [100%] 2023-10-21 [Euclidean geometry] [Elementary geometry]...
5. Euclidean geometry: Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions ... (Mathematical model of the physical space) [100%] 2025-04-26 [Euclidean geometry] [Elementary geometry]...
6. Line (Euclidean geometry): In Euclidean geometry, a line (sometimes called, more explicitly, a straight line) is an abstract concept that models the common notion of a curve that does not bend, has no thickness and extends infinitely in both directions. It is closely ... (Euclidean geometry) [81%] 2023-06-16
7. Non-Euclidean geometry: Non-Euclidean geometry is a form of geometry that rejects Euclid's fifth postulate that parallel lines extend to infinity and never intersect. There are two main forms of non-Euclidean geometry, hyperbolic, and elliptic. [81%] 2023-02-27 [Geometry]
8. Intersection (Euclidean geometry): In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one ... (Euclidean geometry) [81%] 2023-10-25 [Geometric intersection]
9. Non-Euclidean geometry: In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing ... (Two geometries based on axioms closely related to those specifying Euclidean geometry) [81%] 2022-06-22 [Non-Euclidean geometry]
10. Models of non-Euclidean geometry: Models of non-Euclidean geometry are mathematical models of geometries which are non-Euclidean in the sense that it is not the case that exactly one line can be drawn parallel to a given line l through a point that ... [63%] 2023-06-12 [Classical geometry]