Trying to Understand Time Interpolate

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I am trying to understand pandas interpolation, time interpolate. I know that it is the same as linear interpolation if the time indexes are equally spaced. But I don't understand how it works when time indexes are not equally spaced. Can someone please explain this to me? Thank you!

Edit:

Is there a way that can geometrically explain how time interpolation works?

If not, can someone please explain the formula or method that is used in time interpolate to estimate the missing value?