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Transform.ChangeBasis or Orient3Pt

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I want to locate a curve on two points, just like the “Orient3Pt” or “Orient” command in Rhino. I read the documentation and searched the forum. The answer I got is Transform.ChangeBasis Method, but there are not many documents explained in it. , The search example is the same, I don’t understand it well, can someone give me an example or explanation to help me understand it better? Thank you very much!
The effect I want to achieve is as follows:

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