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Generally this is done by extending the natural definition of the entity and extending any supporting curves or surfaces as necessary. For example, the extension of an offset intersection curve defining the spine of a blend is done by extending the two surfaces that define the curve and intersecting them. Extending exact interpolated curves and exact spline surfaces is done by adding a tangential straight line or a tangential ruled surface, respectively. Extended exact interpolated curves and spline surfaces provide examples of geometry which is only C1 continuous.
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