Two Surfaces of Equal Area but Different Shape
A geometric proposition: equal touching parts leave remainders equal in area but different in shape
The page sets out a geometric proposition on superposed surfaces: if two surfaces of different shape but equal area touch, one laid over the other, and the parts that touch have the same shape and area, then the parts that do not touch will have different shapes but the same area. Two drawings accompany it - a stepped, labyrinthine surface and a flat spiral, each confined within a circular boundary.
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Equal areas conserved under superposition
If two surfaces of different shape and equal area are laid one over the other, and the parts that touch have the same shape and area, then the parts that do not touch will have different shapes but the same area.
