Euclidean geometry - Wikipedia
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 from these.

Euclidean geometry | Definition, Axioms, & Postulates | Britannica
Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid geometry commonly taught in secondary school.

Euclid - Wikipedia
His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus.

Euclidean distance - Wikipedia
The Euclidean distance gives Euclidean space the structure of a topological space, the Euclidean topology, with the open balls (subsets of points at less than a given distance from a given point) as its neighborhoods.

Euclidean Geometry (Definition, Facts, Axioms and Postulates) - BYJU'S
Euclidean geometry is a study of plane geometry in two dimensions based on axioms, theorems and postulates. Applications of Euclidean geometry in real life, examples at BYJU’S.

Euclids Geometry - Definition, Axioms, Postulates, Examples, FAQs - Cuemath
Euclid's Geometry, also known as Euclidean Geometry, is considered the study of plane and solid shapes based on different axioms and theorems. The word Geometry comes from the Greek words 'geo’, meaning the ‘earth’, and ‘metrein’, meaning ‘to measure’.

Euclidean geometry - Encyclopedia of Mathematics
The space of Euclidean geometry is usually described as a set of objects of three kinds, called "points" , "lines" and "planes" ; the relations between them are incidence, order ( "lying between" ), congruence (or the concept of a motion), and continuity.

Euclidean -- from Wolfram MathWorld
The Euclidean geometry of the plane (Books I-IV) and of the three-dimensional space (Books XI-XIII) is based on five postulates, the first four of which are about the basic objects of plane geometry (point, straight line, circle, and right angle), which can be drawn by straightedge and compass (the...

4.1: Euclidean geometry - Mathematics LibreTexts
Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates. There are two types of Euclidean geometry: plane …

4.1: Euclidean Geometry - Mathematics LibreTexts
For the angles, \(\mathrm{m}(\angle \mathrm{BAD})=\mathrm{m}(\angle \mathrm{ABE})+\mathrm{m}(\angle \mathrm{AEB})\) by the Euclidean form of the EAT and use the Inscribed Angle Theorem to express \(\mathrm{m}(\angle \mathrm{ABE})\) and \(\mathrm{m}(\angle \mathrm{AEB})\) in terms of the arc measures of their subtended arcs. QED.