Modern Geometry

It is a mathematical statement that is proved using rigorous mathematical reasoning.

• Axiom

• Conjecture

• Theorem

• Lemma

A minor result whose sole purpose is to help in proving theorem.

• Axiom

• Conjecture

• Theorem

• Lemma

Statement that assumed to be true without proof.

• Axiom

• Conjecture

• Theorem

• Lemma

A statement that is unproved, but believed to be true.

• Axiom

• Conjecture

• Theorem

• Lemma

A prove and often interesting result, but generally less important than theorem.

• Definition

• Lemma

• Proposition

• Collary