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Local MAX and MIN of a circle (two point measure)

For a long time I've been impressed by the mathematics of and today I had a little time over to test something that might come useful some day - "Local MAX and MIN of a circle (two point measure)". Maybe it has been shown before on the forum, but for me it was a new experience and an interesting sojourn in the not so much used "vector calculations" possibilities of PC-DMIS, i.e. the fact that you can get a whole bunch of things calculated with a single command, addressing a vector of numbers.

Assumption:

Circle CIR measured with an even number of points, spread all around.

Method:

Compute all diameters, find the shortest and longest. This is done by simple coordinate distance [SQRT((X1-X0)^2 + (Y1-Y0)^2) ], but the twist is that PC-DMIS can do it for all diameters at once! It just takes three lines.