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measuring a rotated radius

I'm new to the CMM world and we're trying to measure a rotated radius (picture a cone with a concave wall.) Anything I've tried so far, short of making a jig, doesn't guarantee that a cross section is truly representative of the radius I'm trying to measure. We're using a Romer PCMM with PC-DMIS 4.3. Oh yeah, and position of the radius to a perpendicular surface is critical as well.

Thanks,
Matt
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