These objects are replaced by the idea of a geodesic on a general metric; specifically, in spherical geometry, these objects are replaced by "great circles."
The Sylvester-Gallai theorem gives a requirement that all items in question are upon only one of these. These objects are replaced by the idea of a geodesic on a general metric; specifically, in spherical geometry, these objects are replaced by "great circles." In coordinate geometry, these objects can be specified in slope-intercept form. Perpendicular ones intersect at an angle of ninety degrees. For 10 points, name this geometric construct defined by two points.
The Sylvester-Gallai theorem gives a requirement that all items in question are upon only one of these.
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