I'm reading about elliptic curves and how drawing a line between two points on the curve will always intersect with a third point. It seems pretty easy, though, to draw a line such that it only intersects at two points (see image below). Am I choosing the points incorrectly? Are they supposed to be chosen on opposite sides of the y-axis or something?
closed as off-topic by Lord Shark the Unknown, Lee David Chung Lin, The Count, TomGrubb, Aqua Jul 7 at 6:02
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