geometry

[missa0312]

a) Consider the interpretations of "point", "line", and "plane" given below. Check whether Axiom 1 and the plane axioms PA1, PA2, and PA3 are satisfied.

Points - 1, 2, 3, 4
Lines - {1, 2, 3}, {1, 4}, {2, 4}
Planes - {1, 2, 3, 4}, {1, 2, 3, 5}, {2, 3, 4}


b) Make corrections to the interpretations in part a) so that it does indeed model axioms A1, PA1, PA2, and PA3.

 

[pka]

a) Consider the interpretations of "point", "line", and "plane" given below. Check whether Axiom 1 and the plane axioms PA1, PA2, and PA3 .

You must tell us what Axiom 1 and the plane axioms PA1, PA2, and PA3 are.
We have no way of knowing otherwise!

 

[missa0312]

axioms

Axiom 1 - Any 2 distinct points are contained in a unqie line.

PA1 - Any 3 non-collinear points lie in a unqiue plane.

PA2 - If 2 points lie in a plane, then the line containing these points also lies in the plane.

PA3 - If 2 distinct planes intersect, they intersect in a line.