In flat geometry, parallel lines never intersect, but on curved surfaces like Earth, parallel paths can meet; for example, two people walking due north from different points on the equator will converge at the North Pole, demonstrating that the geometry of space determines whether parallel lines intersect.
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Parallel Lines Can Actually Meet 🤯Added:
Can parallel lines actually meet? In flat geometry, the answer is no. But on a curved surface, they absolutely can.
Imagine standing on Earth's equator with another person several miles away, both walking perfectly due north. Even though neither of you changes direction, your paths slowly move closer together until they meet at the North Pole. That happens because Earth's surface is curved. In geometry, this is called positive curvature, where straight paths can eventually converge. But there's also negative curvature, where parallel paths spread farther apart forever. So whether parallel lines meet or not depends entirely on the shape of the space they exist
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