I assume what you're talking about is the "rising line of the center of the floor sweeps." The question is one I've wondered about myself quite a few times. I don't have an answer.
Late-seventeenth and eighteenth-century British Admiralty draughts have quite a few lines in them that don't make much sense to modern eyes. The basic reason is that the cross-sections of hulls in those days were drawn using a compass and ruler; the curves in the cross sections are made up of circle arcs, and the mysterious lines show the shipwright where to put the point of the compass and where to end the arcs. With a little effort (and, usually, reference to a book to remind me how it works) I can usually figure out what all the lines in an Admiralty draught are; what we're doing, in effect, is looking backward at the design process to see how the original draftsman laid out the shapes on the drafting cloth when he designed the ship.
What baffles me, though, is that lots of Admiralty draughts are of ships that the Royal Navy acquired after they were built. (Famous examples: H.M.S. Bounty, the U.S.S. President, and the Continental frigate Hancock.) The process of "taking off the lines" of an existing ship obviously involved taking measurements of the hull, decks, and fittings in dry dock - an enormous job, but theoretically straightforward. But the Admiralty draught of the Hancock, for example, shows the centers of the circle arcs for drawing the cross-sections of the hull. How on earth was somebody able to figure that out in an existing ship - and, for that matter, why did he bother? (In that particular case, I suppose it's possible that the Royal Navy was particularly interested in the details of the ship's lines; the Hancock had the reputation of being unusually fast. But why would anybody need to know the centers of the arcs in the cross-sections of the Bounty?
I once discussed this with the late Merritt Edson, long time editor of Nautical Research Journal and about as knowledgable a student of such things as I've ever encountered. He couldn't figure out the answer either.
Maybe the answer lies in what one of my teachers called the IFF - International Fudge Factor. I suppose it's possible that a draftsman who was thoroughly familiar with contemporary practice (which those guys obviously were) could look at an existing hull, take some measurements of it (he could locate the "height of greatest beam" lines, for instance, pretty accurately), and interpolate the other points on the basis of experience - with the assurance that nobody was likely to disagree with him. That doesn't seem to have been the way these people operated, but it's the best explanation I can think of.
Anybody who's spent any time with those old drawings can only admire and revere the people who drew them. Nowadays drafting is a dying art; CAD and other computer programs have turned designers of buildings and ships into computer operators. In many ways, of course, that's a good thing. But the men who drew those old Admiralty draughts, with their ruling pens, compasses, ivory rulers, and little else, were true artists.