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Qué (quién) es axiomatic geometry - definición
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.
Axiomatic system
SET OF AXIOMS FROM WHICH SOME OR ALL AXIOMS CAN BE USED IN CONJUNCTION TO LOGICALLY DERIVE THEOREMS
Axiomatization; Axiomatisation; Axiomatic method; Axiomatic framework; Axiom system; Axiomatic reasoning; Hilbert-style calculi; Axiomatic theory; Axiomatic definition; Axiomatic approach; Axiomatic logic; Axiomatic proof; Axiomatic System
In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems.
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.
Wikipedia
Axiomatic geometry
Axiomatic geometry may refer to:
