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Synopsis
An egg‐shaped body is defined mathematically in terms of three parameters: L, its length along the axis of symmetry; b, the ratio of its maximum breadth to its length; and p, which is given by the equation
where Xm is the distance from the narrow pole to the plane of maximum breadth. The volume, V, of such a body is given by the equation
where V 1 is the volume of a similar body of unit length and is given by
Comparison of the volumes of hens’ eggs measured by water displacement with the volumes calculated from these equations showed a very high correlation (r = + 0.994).
The surface area, S, of the ovoid of length L is given by the equation
where S 1 is the surface area of a similar ovoid of unit length. St is the sum of a rapidly converging infinite series the terms of which are functions of b and p. A table gives values of V 1 and S 1 for ovoids having values of b and of (L‐X m)/L found in hens’ eggs.
