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Updated: May 24, 2025
In modern expositions of the axioms of geometry certain conditions are laid down which the relation of congruence between segments is to satisfy. It is supposed that we have a complete theory of points, straight lines, planes, and the order of points on planes in fact, a complete theory of non-metrical geometry.
Aside from the metrical form of poetic, accepted by all but Aristotle as a distinguishing characteristic, and the non-metrical form of rhetoric, the essentially practical nature of rhetoric marked it off to the Greeks and Romans as something quite different from poetic and infinitely more important in education and public life.
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