Q&A

# What is the parallel for edges?

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What is the parallel to edge in curves?

For example, if we have three points and three edges we get a triangle but if we define three points for a somewhat curved triangle, what would be the parallel term for the "edges"?

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I would still use the term ‘edge’ for that case—as in, ‘These three arcs are the edges of a circular triangle.’ If necessary to prevent confusion, I might specify ‘curved edge’ or something similar. But while ‘edge’ in geometry often implies a strict line segment, in graph theory it simply denotes a connection between two vertices, and that looser interpretation of the word carries over into other branches of math.

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