Frank and Pete seem to be more on the ball than I am today.
For Yang Yue, there is a "2D API Guide" on our web site that has a few
sections on how to modify the transform of a Graphics2D. You can view
it in any of 3 different formats via links from:
http://java.sun.com/products/java-media/2D/
The guide does not go into too much depth on the intricacies of an
affine transformation, but for the case of rotating an ellipse not
much detail should be required beyond calling the rotate method. If
more information is required. (And I think there are others out there
who have created more specific tutorials that go into that much depth...)
...jim
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