VB6 fit 3 points on a curve that has 3 edge points

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Hello all!
I want to categorize images, and I need to mark certain points manually.
I would like to click for example on point x=0,y=0, point x=100,y = 100, point x = 200,y =200.
These 3 edge points should form a curve which has 7 points of the same distance to each other.
Can somebody help me recovering the math stuff of the early classes of my childhood? :-(
Regards,
Steve
.



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