What are 7 axioms
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Answers
Answer:
A-1 Every two points lie on exactly one line.
A-2 Any line segment with given endpoints may be continued in either direction.
A-3 It is possible to construct a circle with any point as its center and with a radius of any length. (This implies that there is neither an upper nor lower limit to distance. In-other-words, any distance, no mater how large can always be increased, and any distance, no mater how small can always be divided.)
A-4 If two lines cross such that a pair of adjacent angles are congruent, then each of these angles is also congruent to any other angle formed in the same way.
A-5 (Parallel Axiom): Given a line l and a point not on l, there is one and only one line which contains the point, and is parallel to l.
In addition to its axiom, Euclidean geometry is based on a number of common notions that Euclid listed in "The Elements". Unlike the axioms which deal with objects of geometry, the common notions are general rules of logic:
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