Category:Spheres

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This category contains results about Spheres in the context of Solid Geometry.
Definitions specific to this category can be found in Definitions/Spheres.


A sphere is a surface in solid geometry such that all straight lines falling upon it from one particular point inside it are equal.


In the words of Euclid:

When, the diameter of a semicircle remaining fixed, the semicircle is carried round and restored again to the same position from which it began to be moved, the figure so comprehended is a sphere.

(The Elements: Book $\text{XI}$: Definition $14$)