state the parallel postulate for euclidean geometry and hyperbolic geometry?
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it states that there are either no lines , or atleast two lines " parallel" to the given line through the point .
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The converse statement to the parallel postulate, as stated above, is that there are either no lines, or at least two lines "parallel to the given line through the point". ... Given a line and a point not on it, infinitely many lines parallel to the given line can be drawn through the point. you get a hyperbolic geometry.
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