Proof — Euclid's fifth postulate

Statement

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.

Formula

Parallel postulate (Playfair: through a point not on a line, exactly one parallel exists)

Source

Euclid, Elements, Book I, Postulate 5

Domains

mathematics

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