"Before giving the proof by which Thales probably established the truth... it will be well to consider the geometrical capital which this Grecian mathematician had at his command. ...i. The angles at the base of an are equal. ...ii. If two straight lines cut one another the vertically opposite angles are equal."
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Ancient Greek mathematics
Ancient was developed from the 7th century BC to the 4th century AD by Greek speaking peoples along the shores of the Eastern Mediterranean. The period following Alexander the Great is sometimes referred to as Hellenistic mathematics. The word "mathematics" itself derives from the ancient Greek μάθημα (mathema), meaning "subject of instruction". The use of generalized mathematical theories and proofs is the key difference between Greek mathematics and those of preceding civilizations.
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