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Euclid posited five axioms, statements whose truth supposedly does not require a proof, as the foundation of his work, the Elements. These still hold for plane geometry, but do not hold in the higher non-euclidean systems. The five axioms Euclid proposed are;

- Any two points can be connected by one, and only one, straight line.
- Any line segment can be extended infinitely
- For any point, and a line emerging from it, a circle can be drawn where the point is the centre and the line is the radius.
- All right angles are equal
- Given a line, and a point not on the line, there is only line that goes through the point that does not meet the other line. (basically, there is only one parallel to any given line)

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Q: What is Euclid's Axiom?

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eetrgrv

euclids elements

There are 13 books in Euclid's Elements.

Euclid of Alexandria or Eukleides

It is not an axiom, but a theorem.

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need a simple explanation of Euclids theory.

eetrgrv

euclids elements

geometry

geometry

An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. The axioms are the reflexive axiom, symmetric axiom, transitive axiom, additive axiom and multiplicative axiom.

Euclid of Alexandria or Eukleides

compositions

euclids elements

An axiom system is a set of axioms or axiom schemata from which theorems can be derived.

No, it is a meaningless sentence, not an axiom.

His major accomplishment was in philosophy and mathematics

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