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Mathematics, 29.01.2020 11:58 michaelmorrison37

Which statement represents the parallel postulate in euclidean geometry, but not elliptical or spherical geometry?
through a given point not on a line, there exists no lines parallel to the given line through the given point.
through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
through a given point not on a line, there exists more than one line parallel to the given line through the given point.
through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.

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