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Vineeth
Axiom-it is a statement or thing which is true and is proven
Prostulate-it is a thing which is not proven yet and will get proven in future
Theorum- a way to prove a  axiom in a statement

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THORAM IT IS ABOUT THE FAMOUS MATHEMATHICAL OPERATION HERE AXIOM AND POSTULATE ARE SOME AND THORAM IS ABOUT THE MATHEMATICAL OPERATION

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POSTULATE IS A STATEMENT THAT IS ACCEPTED AS TRUE WITHOUT HAVING TO FORMALLY PROVE IT

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Theorem is something that has concreat proof while axiom is where there is not definite proof but is accepted while a prostulate is accepted all over.

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axiom is a statement or position on which an abstract defined structure

postulate is also known as axiom.it is a statement which is not been proved.it is also a statement from which lemma and theorem is obtained.

theorem is a major result which is been proved.lemma is a minor result.example for theorem is pythogerous theorem

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Tarun
Axiom is a universal truth accepted by everyone and approved.
Postulate is a truth but can be proved by experiments and also proved without any proofs
Theorom is something a logic or proposition that is demonstrated

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axioms and postulates are assumptions that are universal truths, but not proven.postulates are facts only specifically related to geometry. theorems are the statements based on these axioms and proving.

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Theoram is a statement which has definite proof . Axiom is a statement where it is accepted widely without a definite proof.
Postulate is a statement which is accepted all aver the world who have the same knowledge in a basic level and complex mathematical proofs are found for postulates .postulates are like a building blocks for the theorams.

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Accepted true because it has been proved constantly true in the past is called axiom

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-axiom is things which is already proved true. because it has been proving true from past and it does not need to be proved again.
postulates are basic structure from which the theorems are derived.
a theorem is a non self evident statement that has been proven true.
differences- axiom is true in any field,postulate is statement that is assumed to be true, theorem is result of postulates
similarities- axioms and postulates mean the same,but a theorem is a statement that has a proof

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IT AXIOM MEAND IT IS STATEMENT WERE EVERYONE BELIEVES IN TRUTH
POSTULATE MEANS WERE THE PEOPLE SUGGEST OR ASSSUME  THAT THE THING IS EXISTING OR TRUE
THOERAM MEANS

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Axioms are the statements which are to be assume and it doesn't require any proof and are universal truths and are true.
Postulates are statements which can be true of false and theorums are derived from postulates and theorums require proofs and axiom are called postulates in geometry.

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An axiom or postulate is a statement that is taken to be  to serve as a premise or starting point for further reasoning and arguments. used in math, the term axiom is used in two related but distinguish senses that is logical axiom and non-logical axiom. postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
a theorems is a non-self-evident statement that has been proven to be true, on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems.

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THEOREMS are the rules that are already proved.
AXIOMS  are rules or laws
POSTULATES are the basic versions from which axioms are derived

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AXIOMS and POSTULATES are the statements that is accepted without any proof.
THEOREM is a statement hat need to have proof. to prove the theorems we use postulates and axioms.
EXAMPLE: when a line intersect they meet at a point is a axiom.

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AXIOM IS A STATEMENT ON WHICH AN  ABSTRACTLY DEFINED STRUCTURE IS BASED

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Axioms are generally statements about real numbers sometimes they are called as algebraic postulates
Postulates are basic structure from which which theorems are derived .Eg the 5 postulates of Euclids geometry
Theorems are the evident statements that can be proven to be true
Axioms and postulates are universal truths which cant be proven whereas theorems are statements cannot be proven

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axiom is a statement which we assume to be true . It becomes the basis to other theorems.
eg: 2+2=4

Postulate is another name for axioms. In geometry axioms are called postulates.
Eg": A straight line extends to infinite length.

theorems are statements that have been proven to be true based on axioms or previously derived theorems.
eg: sum of the interior angles a triangle is 180 degree

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Postulates are generally the basic structures from where theorems are derived.
Theorems are the states demonstrated to prove by mathematicians.
Axioms mean to be generally more true. axioms and postulates are generally used in the euclidean geometry.

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AXIOM- is a rule  that people believe is true
-A universal truth and cannot be proven
-Used everywhere

POSTULATE-a statement believed to be true and forms a theory
-Universal truth and cant be proven
-Used only in geometry

THEOREM-a rule that can be showed to be true
-They can be proven

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AXIOMS: LAWS UNIVERSALLY EASTABLISHED THAT ARE NOT REALLY TRUE BUT ARE SELF EVIDENT. EX: LINE CAN BE EXTENDED INFINETLY POSTULATES: STATEMENT THAT IS ACCEPTED WITHOUT FORMALLY HAVING TO BE PROVED. EX: ALL RIGHT ANGLES ARE CONGRUENT THEOREMS: NON SELF EVIDENT BUT CAN BE PROVEN EX: PYTHOGORUS THEOREM

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Axiom: This is a position that doesn't have proof. It is assumed to be self evident

Postulates: This is assumed as a fact/existence as a basis of reasoning

Theorem: It is not self evident but it is obtained by a chain of reasoning.

(The following definitions would give its similarity and differences)

So theorem and postulates are facts and have proof or are facts but axioms are just without any proof.
All of the above are used for reasoning if they have or don't have proof.

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Amoolya M

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Axiom: it is a universal truth which has been accepted and proved. It sometimes serves as a starting point. ex: SAS congruence criterion.
Postulate: It is a hypothesis which can be true or false. It can be proved with experiments etc.
ex: The Geo centric hypothesis
Theorem: It is a postulate which has been proved and accepted.
ex: Consecutive interior angles in parallel lines are supplementary
Similarity: Axiom and Theorem are true and are accepted. They are already proved so sometimes it serves as a starting point for new postulates and theorems.
Difference: Postulates needn't  be true.

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Axiom is accepted without any questions and is a principle  and cannot be proved. Postulate is a suggestion which is used mostly in geometry and cannot be proved.Eg: all right angles are equal to one another.  Theorem is accepted by other's rule and it is proved. Eg: pythagoras theorem

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a statement or preposition which is regarded as being established ,accepted,or self-evidently true is an axiom.
Fact or truth as a basis for reasoning,discussion, or belief is called postulate.
a rule in algebra or other branches  of math expressed by symbols or formulae is called theorem

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Axiom is the statement on which abstractly defined structure is based on .
Theorem is a  rule in algebra or other branches of mathematics expressed by symbols or formulae.

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Axiom is a statement which is considered to be true.
Postulate is also known as axiom which is taken to be true without proof.
Theorems is a statement which can be proved.

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Axioms are the statements or proportion in which an abstractly defined structure is based they are the mathematical truths that are accepted without proof axioms are also called as algebraic postulates
Postulates are not proved by a specific geometry
Theorum is a statement proven based on axioms
Postulates is a thing suggested or assumed as true
Theorum is a rule in algebra expressed by symbols or formula

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Axioms are general statements based on assumptions without any proof.

Postulates are also statements without any proof but are accepted generally by all.

Theorems are certain statements which are proved by using certain axioms or previously proved theorems.

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Axiom and postulate are statement which does not require proof
Theorems are general statements which has to be proved.