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13007 | Archimedes defined a straight line as the shortest distance between two points |
Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |||
From: report of Archimedes (works [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |||
A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |