I fear you have lost track of what I am asking.
I have no problem integrating immersed areas from stem to stern.
I have no problem in computing rates of curvature - from a parallel line.
I have no problem computing depth at waterline for differing loads. etc.
Assume a perfect Brick - empty - sitting there in the H2O. At this moment, it ain't going anywhere. Just sitting there.
What math would produce a family of profiles so that one may choose one that will be more suitable for any given situation.
In a perfect brick, we start with the immersed transverse section areas perfectly constant over the whole length.
Specifically, what is the Math used to produce different profiles for different situations?
Or to put it differently, what factors are calculated to produce an increasing or decreasing rate at each immersed or full station.
Are you able to give a simple example. Forinstance. Here's a magnificent boat I just designed this very instant.

with, say, stations 1 foot apart. The verical lines could be 2-3-4 inches each,... or whatever you wish.
So.. all we have here is a very primitive 10 foot scow, sitting in quiet water. (at some uniform depth)
| | | | | | | | | |
| | | | | | | | | |
| | | | | | | | | |
| | | | | | | | | |
| | | | | | | | | |
|---------|--------|---------|---------|---------|----------|--------|---------|---------|-
T 8 7 6 5 4 3 2 1 Bow
Could you show me the math/considerations you would use to plot
1) what part of the bottom could be flat
2) where to start and end the rocker at both the stern and prow.
You are free to add or assume weights to make the calc easier.
You are free to assume any given situation.
What I would like to see, are the numbers.
What I would like to see is just what calculations are involved.
I hope I haven't talked too much, or thrown you off the scent.
mlp
mlp@nfo.net