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In spherical geometry, there are no straight lines through a point not on a given line that are parallel to that line. This is because the surface is positively curved, causing all straight lines (geodesics) to eventually intersect.
Conditions: The geometry is spherical geometry.; There is a given straight line.; There is a point not on that line.
2:43 – 2:55Watch this moment ↗
In spherical geometry, there are no straight lines through a point not on a given line that are parallel to that line. This is because the surface is positively curved, causing all straight lines (geodesics) to eventually intersect.
Conditions: The geometry is spherical geometry.; There is a given straight line.; There is a point not on that line.
2:43 – 2:55Watch this moment ↗