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With the given notes from below, answer number one please Axiom 1: there exists at least one line...

With the given notes from below, answer number one please

Axiom 1: there exists at least one line.

Axiom 2: every line has exactly 8 points incident (passes through) to it

Axiom 3: not all points are incident to the same line

Axiom 4: there is no line containing all points

Axiom 5: there is at least two points on one line

Axiom 6: there exists at least two lines

Axiom 7: there is exactly on with incident with any two discount points

Axiom 8: there is at least on point incident with any two distinct lines

1A) Is this system categorical or not?

1B) What is the situation vis a vis parallel lines? (using Playfair)

1C) Is this geometry elliptical, hyperbolic or Euclidean with respect to parallel lines?

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Answer #1

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