I don't suppose any of you want to help me tackle this problem, but I need
to make a set of sails for my boat.
The sail is roughly the shape of a right triangle. Any horizontal slice
must be airfoil shape, like the cross section of an airplane wing, (only
the
top part) pro****tionally. The sailcloth is in a roll m" wide and is to be
sewn in strips perpendicular to the hypotenuse. I need to know how to cut
the edges of the flat sailcloth panels so when they're sewn together, it
creates the airfoil shape.
To get started, I divide the vertical length of the sail into n segments,
and draw horizontal airfoils bottom up at each division. They get
narrower
as you go up the mast. Each parallel line is a baseline for the camber.
Then I draw a series of lines m apart perpendicular to the hypotenuse.
Wherever they intersect the baselines, I measure the camber. These
intersections form a curve that's required of the edge of the cloth. The
distances perpendicular to the baseline of this curve are plotted. Its
arclength is divided in equal segments, and the length flat sailcloth is
divided into the same number of equal segments. The curve is projected on
the sailcloth, and the camber needed for panels is obtained. Where
adjacent
panels accomodate the camber, distances are divided by 2 as each panel
picks
up the slack.
Do you follow me? Where did I go wrong?


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