@DCockey, what I have written in post # 4 is not a definition of mine but comes from the paper I used to show the shapes of Series 62. (See page 492 in attached paper)
TANSL, I agree that the definition of A
p you used in post #4 come from that paper. I mentioned it several times. Unfortunately it can be confusing. That is why I provided two other published definitions of A
p including one by Donald Blount, one of the authors of the original paper. Note that in the paper the value of Ap for each model geometry is given in Table 1 on p 494 and is a function of the model geometry only, independent of test conditions (displacement, CG location, speed, etc).
In
Performance by Design Donald Blount discusses the definition of Ap (p 58):
For an airplane, the projected wing area is of fundamental importance for lift, as the projected bottom area, Ap is the principal source of lift for planing craft. Some designers, however, have argued that the part of Ap forward of each speed's calm-water stagnation line should not be considered as part of design hull loading for calculating the planing area coefficient, Ap/(volume displacement)^1/3.
This contention assumes the dry forward area does not always contribute to the hydrodynamic lift. This argument, however, ignores the fact that in random waves there are moments of impact when the entire area Ap bounded by the chine and the transom is in contact with the sea.
Thus Ap defines the total lifting surface available to provide recovery from wave entry, as well as just supporting craft weight when operating in calm water at high speed. The chine and transom boundaries of Ap define the edges of desired flow separation when craft are operating in either calm or rough water.