Concept information
Preferred term
Euclidean geometry
Definition(s)
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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 (theorems) from these. Although many of Euclid's results had been stated earlier, Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Euclidean_geometry)
Broader concept(s)
Narrower concept(s)
- annulus
- area
- Barbier's theorem
- Carnot's theorem
- cathetus
- Cauchy-Schwarz inequality
- Ceva's theorem
- cevian
- Euler line
- Euler's theorem in geometry
- Fagnano's problem
- generatrix
- geometric congruence
- half-space
- Hilbert's axioms
- Holditch's theorem
- hypotenuse
- integer lattice
- intercept theorem
- Johnson circles
- Jung's theorem
- Kosnita's theorem
- locus
- Menelaus's theorem
- Miquel's theorem
- Monge's theorem
- Morley's trisector theorem
- Napoleon's theorem
- Pappus's centroid theorem
- parallel
- parallel postulate
- perimeter
- plane curve
- point
- projective harmonic conjugate
- Ptolemy's theorem
- Pythagorean theorem
- root system
- similar triangles
- six circles theorem
- Steiner-Lehmus theorem
- Stewart's theorem
- surface
- Terquem's theorem
- trigonometry
- Tucker circle
- Viviani's theorem
Synonym(s)
- elementary geometry
- plane geometry
In other languages
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French
-
géométrie élémentaire
-
géométrie plane
URI
http://data.loterre.fr/ark:/67375/PSR-GKWK9C3G-P
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