# If two people stand on opposite ends of the earth and pull a rope tightly, will the rope cut through the Earth? [closed]

I'm reading about how a "straight line" depends on the geometry of space. While I think I understand this, the example people give is:

"Imagine a straight line on earth connecting two cities. It's actually curved because the earth is curved".

My response to that would be "Well no, because a truly straight line would cut through the earth. Like a straight string would cut through an apple".

So question: If two people took an infinitely strong and light string, stood on opposite ends of the earth, and pulled almost infinitely tightly, would the string curve around the earth a few feet above, or would it cut through to the core?

## closed as unclear what you're asking by Norbert Schuch, user36790, John Duffield, Wolpertinger, heatherSep 9 '16 at 23:55

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• Yes it would cut. You're quibbling about the meaning of "straight". Does it mean straight in Euclidean 3-space, or a geodesic on a surface, like the surface of the Earth. Most people don't know the word "geodesic", but that's what they mean. – Mike Dunlavey Sep 8 '16 at 17:25