Aristotle's axiom
id:
aristotle-s-axiom-193-1217868
title:
Aristotle's axiom
text:
Aristotle's axiom is an axiom in the foundations of geometry, proposed by Aristotle in On the Heavens that states: If X O Y ^ is an acute angle and AB is any segment, then there exists a point P on the ray O Y → and a point Q on the ray O X → , such that PQ is perpendicular to OX and PQ > AB. Aristotle's axiom is a consequence of the Archimedean property, and the conjunction of Aristotle's axiom and the Lotschnittaxiom, which states that "Perpendiculars raised on each side of a right angle inter
brand slug:
wiki
category slug:
encyclopedia
description:
Axiom in the foundations of geometry
original url:
https://en.wikipedia.org/wiki/Aristotle%27s_axiom
date created:
date modified:
2024-01-16T19:51:29Z
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image:
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fields total:
13
integrity:
15