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Geometry: Axiomatic System - SlideServe
Geometry: Axiomatic System. Geometry: Axiomatic System. MA.912.G.8.1 - Analyze the structure of Euclidean geometry as an axiomatic system. Distinguish between undefined terms, definitions, postulates, and theorems. Some history of Euclidean Geometry.
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SOLVED: I understand how to prove this using 3 points. How do I prove itwhen adding a fourth?Consider the axiomatic system and theorem below:Axiom 1: If there is a pair of points, then they are on a linetogether.Axiom 2: If there is a line, then there must be at least twopoints on it.Axiom 3: There exist at least three distinct points.Axiom 4: If there is a line, then not all of the points can beon it,Theorem 1: Each point is on at least two distinct lines.
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