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I faced with these meanings ("in the bigh" and "with the bight") in ABOK on page 190, the first line from above. Another example is #1057, where it says about this (about "on the bight") "the title of knot". There are number of other examples in ABOK (for example, beginning of Chapter 12).
From this, I concluded that these are special concepts that describe the properties of knots.
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