Inter-lineated is a term used to describe something that is written or printed between the lines of a text. A suitable synonym for this term could be "inserted," indicating that something has been added to the text. "Inscribed" could also be used, conveying the idea that something has been written or engraved into the text. Another possible synonym might be "interpolated," suggesting that something has been inserted into or added to the text at a particular point. "Integrated" is yet another option, indicating that something has been seamlessly incorporated into the existing text. Whatever the chosen synonym, it should accurately convey the idea of something being added or inserted into a pre-existing text.