Timeline for Pair of curves joining opposite corners of a square must intersect---proof?
Current License: CC BY-SA 3.0
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| Jul 26, 2013 at 8:46 | comment | added | Buschi Sergio | I seems that your proof is valid for funtions graphs and no generalized curves: when write "switch from left to right" I guess that you to consider the intersetion of the two curves by the line parallel to a cartesian axis $t$: $t=m_j$, and you suppose to have only two intesection (one for curve) . But this isn't true for general curves. ANyway your proof is adaptable: curves are compact and intesection by a interval is a closed, you have anyway a first point at lest and a first point at right..the rest is the some. | |
| Oct 1, 2011 at 0:15 | history | edited | pinaki | CC BY-SA 3.0 |
added 11 characters in body
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| Oct 1, 2011 at 0:08 | history | answered | pinaki | CC BY-SA 3.0 |