.
Donatas, I want to show you an example of a similar problem that I also sometimes encounter. This time it is about the line of the floor aft of a French frigate of 1686. It is interesting to note that an identical anomaly is also present in the definition of this line in the Royal Regulation of 1673. For the quarter frame aft, it prescribes 2/3 of the width of this line at the master frame. However, while maintaining geometrical rigour (that is, tangency at point B), it generates a concave arc between points A and B, and this in turn creates concave hull surfaces in this area, which was then as now obviously unacceptable.
This can be solved in basically four ways (assuming only circle arcs and straight lines are allowed):
– one can ignore the Royal Regulation and increase this 2/3 ratio to a slightly larger one, which will at least give a straight line between points A and B,
– one can simply draw a straight line connecting points A and B, but then a kink will occur at point B,
– one can increase the radius of the arc between points B and D, but then this arc BD will not be tangent to the horizontal line at point D (in other words, there will be a kink at point D),
– it is also possible to draw a straight line from point A to the tangent point C (in black), which will effectively increase the width of the floor at the quarter frame aft, quite like in the first solution.
In the end, I opted for the fourth solution in this particular case, but perhaps more interesting here is the reminder that sometimes taking these kinds of documents (regulations, ordonances, treatises, manuals, etc.) too literally can easily lead astray.
.