When reading about the history of Euclid's Elements, one finds a pretty length story about the Greeks and Arabs spending countless hours trying to prove Euclid's 5th Postulate. But I've yet to come across a source stating that "this is the man who finally proved the 5th postulate!" Has it ever been formally proven, or am I misunderstanding the issue?

linnibell17591

linnibell17591

Answered question

2022-11-04

When reading about the history of Euclid's Elements, one finds a pretty length story about the Greeks and Arabs spending countless hours trying to prove Euclid's 5th Postulate.
But I've yet to come across a source stating that "this is the man who finally proved the 5th postulate!"
Has it ever been formally proven, or am I misunderstanding the issue?

Answer & Explanation

Berattirna

Berattirna

Beginner2022-11-05Added 19 answers

You misunderstood the issue. The creation of non-Euclidean Geometries (more specifically Hyperbolic Geometry) allowed us to see that the fifth postulate cannot be deduced from the other postulates.

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