Prove that a plane can be drawn through any straight line.

Given: plane β, line a.

Prove: a ⊂ β.

Evidence:

Take two points on the line a – A and B. Also, take a point C of the space that does not lie on this line. Then, according to the first axiom of stereometry, points A, B and C define the only plane of the space (β), which was required to prove.



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