If two lines intersect a third line, and the interior angles on one side sum to less than 180 degrees, the lines will not have this property, according to Euclid's fifth postulate.
In hyperbolic geometry, two figures with the "ultra" form of this property must share a perpendicular, and two geodesics with this property with respect to a third can intersect. Given a line and a point not on the line, Playfair's axiom states that only one figure with this property can be drawn. If two lines intersect a third line, and the interior angles on one side sum to less than 180 degrees, the lines will not have this property, according to Euclid's fifth postulate. For 10 points, name this term that identifies lines in a plane that do not intersect.
In hyperbolic geometry, two figures with the "ultra" form of this property must share a perpendicular, and two geodesics with this property with respect to a third can intersect.
parallel