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What (who) is extrinsic geometry - definition
MIDDLE POINT OF AN OBJECT IN GEOMETRY
Centre (Geometry); Center (Geometry); Center (geometry); ⎅
Synthetic geometry
STUDY OF GEOMETRY WITHOUT THE USE OF COORDINATES OR FORMULAS.
Synthetical geometry; Computational synthetic geometry; Pure geometry; Synthetic proof
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compass and straightedge, to draw conclusions and solve problems.
Arithmetic geometry
![The [[hyperelliptic curve]] defined by <math>y^2=x(x+1)(x-3)(x+2)(x-2)</math> has only finitely many [[rational point]]s (such as the points <math>(-2, 0)</math> and <math>(-1, 0)</math>) by [[Faltings's theorem]].](https://commons.wikimedia.org/wiki/Special:FilePath/Example of a hyperelliptic curve.svg?width=200 "The [[hyperelliptic curve]] defined by <math>y^2=x(x+1)(x-3)(x+2)(x-2)</math> has only finitely many [[rational point]]s (such as the points <math>(-2, 0)</math> and <math>(-1, 0)</math>) by [[Faltings's theorem]].")
BRANCH OF ALGEBRAIC GEOMETRY FOCUSED ON PROBLEMS IN NUMBER THEORY
Arithmetical algebraic geometry; Arithmetic Geometry; Arithmetic algebraic geometry; Arithmetic Algebraic Geometry
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.
Geometry Wars: Waves
VIDEO GAME SERIES
Geometry wars; Geometry Wars: Waves; Geometry Wars (series)
Geometry Wars: Waves is a multidirectional shooter video game created by Stephen Cakebread of Bizarre Creations, released as a bonus mini-game as part of Project Gotham Racing 4 on Xbox 360 on October 2, 2007. It is the third release in the Geometry Wars series.
Wikipedia
Centre (geometry)
In geometry, a centre (British English) or center (American English); (from Ancient Greek κέντρον (kéntron) 'pointy object') of an object is a point in some sense in the middle of the object. According to the specific definition of center taken into consideration, an object might have no center. If geometry is regarded as the study of isometry groups, then a center is a fixed point of all the isometries that move the object onto itself.
