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What are Axioms? 
Euclid's Definitions, Axioms and Postulates 
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Euclid
The unproved universal truths are called axioms or postulates.
Note: Proving a theorem means establishing the truth of that theorem.
Note:
 Euclidean Geometry is the study of flat surfaces.
 Nowadays ‘postulates’ and ‘axioms’ are terms that are used interchangeably and in the same sense.
Example: The straight line PQ falls on AB and CD such that the sum of the interior angles 1 and 2 is less than 180º on the left side of PQ. Thus, the lines AB and CD will intersect (on producing) on the left side of PQ.
In the history of mathematics, Euclid’s fifth postulate is very significant. Though there are several equivalent versions of this postulate, we state the following axiom (called the Playfair's axiom) here: “For every line ‘l’ and for every point ‘P’ not lying on l, there exists a unique line m passing through P and parallel to l”
Two distinct intersecting lines cannot be parallel to the same line.
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