Use the command to find the intersection of the curve, the result is not defined
Defining the curves in your definition separately as functions, you can see that indeed there's no intersection.
In this case I think working with functions is easier than using curves: f(x)=Function[cos(x), 0, pi]
there is a bug
does numeric search so can't always find the intersection
yes, it works
but the help of intersect says
Intersect[ <Curve 1>, <Curve 2>, <Parameter 1>, <Parameter 2> ]Finds one intersection point using a numerical, iterative method starting at the given parameters.
Let a = Curve[cos(t), sin(t), t, 0, π] and b = Curve[cos(t) + 1, sin(t), t, 0, π].
Intersect[a, b, 0, 2] yields the intersection point A = (0.5, 0.87).
... but in this case it is actually a bug. Fixed for next release (5.0.333.0)
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