Euclid's axioms and common notions
- Euclid's axioms and common notions
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Euclid's axioms
01 Given two points there is one straight line that joins them.
02 A straight line segment can be prolonged indefinitely.
03 A circle can be constructed when a point for its centre and a distance for its radius are given.
04 All right angles are equal.
05 If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than the two right angles.
Euclid's common notions
06 Things equal to the same thing are equal.
07 If equals are added to equals, the wholes are equal.
08 If equals are subtracted from equals, the remainders are equal.
09 Things that coincide with one another are equal.
10 The whole is greater than a part.
See as table:
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Universalium.
2010.
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