Euclidean Axioms
Terms
Axioms

Point
Line
Plane
Space
  1. A straight line can be drawn between any two points
  2. A finite line can be extended infinitely in both directions
  3. A circle can be drawn with any center and any radius
  4. All right angles are equal to each other
  5. Given a line and a point not on the line, only one line can be drawn through the point parallel to the line

Given point P and line l , the purple line through P is the only possible line parallel to l.. Any other line will eventually intersect with line l..

 

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