Example · High school
Through a point not on a line, there is exactly one line parallel to the given line.
Terms
| Term | This example | Why |
|---|
| postulate |
✓ |
Euclid’s parallel postulate is a postulate, and so an axiom, because Euclidean geometry takes it as given without proof.
|
| axiom |
✓ |
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| assumption |
✗ |
Euclid’s parallel postulate is not an assumption of a single result; dropping it gives non-Euclidean geometries.
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