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Location: Calgary, AB, Canada
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Rather using pins and the sailplan simply find the centre of the sail by drawing lines from the tack to the centre of the leech, the head to the centre of the foot and the clew to the centre of the luff. Do that for each sail. Then use some math to find the combined CofE using the area of each sail.
You can also find the CLR by easing the dock lines and pushing at various points along the toe rail until the bow and stern move away from the dock together.
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As I sail, I praise God, and care not. (Luke Foxe)