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December 2nd, 2011, 05:56 PM   #1
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Geometry piecewise line segments

Let be the line segment connecting A does not equal B.
Since AB is a subset of a straight line we can consider as a trace of a parameter curve, namely for t with some interval [a,b]. Further, given there exists such that for this we need to find such that
and


and take

1. Find for

2. also let be a continuous mapping, gamma is a piecewise curve. Prove that the polygon is a piece wise infinite class curve.
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