Some Non-Euclidean Geometry from Thinkwell Calculus - Preview
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Really? It cuts out at the important part?
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But if the line is perceived as curved, then wouldn't the shortest distance remain a straight line - straight through the ground?
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@bubblegumweed I was thinking the same thing
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Did he clobber a cameraman or something with that inflatable earth?
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MR BURGER!!!
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ahahaha indeed xD
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The shortest path depends on how one defines the distance function between two points in the space being studied. When not in euclidean space, if there exists a shortest path between two points, it is not necessarily a straight euclidean line. His use of the planet earth is an example of a space that is wrapped around the next higher dimension, and there is no analog for traveling "through the earth", so a "straight line through the sphere" is by no means a geodesic.
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exactly seems obvious that the shotest distance is still a straight line. it would be impossible to travel through the earths mantle, but that doesnt mean its not the shortest distance from a to b
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U cant fly a plane through the earth
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The shortest distance from williams town to sydney would actually be a straight line through the sphere.
bubblegumweed 2 years ago 17
yeah so its still the shortest distance between the two spots.
bubblegumweed 2 years ago 3