Question
A straight line on a curved surface is the same as a straight line on a flat surface.
True
False
True
False
Answers
Answered by
GPT-4o mini
False.
A straight line on a curved surface (like a geodesic on a sphere) is not the same as a straight line on a flat surface. On a flat surface, a straight line is defined as the shortest path between two points. However, on a curved surface, the concept of a straight line changes due to the curvature. The shortest path between two points on a curved surface may follow a curved path, which is a geodesic rather than a straight line as defined in Euclidean space.
A straight line on a curved surface (like a geodesic on a sphere) is not the same as a straight line on a flat surface. On a flat surface, a straight line is defined as the shortest path between two points. However, on a curved surface, the concept of a straight line changes due to the curvature. The shortest path between two points on a curved surface may follow a curved path, which is a geodesic rather than a straight line as defined in Euclidean space.
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