The problem of finding a square equal in area to a given circle, like all problems, may be increased in difficulty by the imposition of restrictions; consequently under the designation there may be embraced quite a variety of geometrical problems. It has to be noted, however, that, when the " squaring " of the circle is especially spoken of, it is almost always tacitly assumed that the restrictions are those of the Euclidean geometry.

00A discussion of these concepts and the various definitions of angles in Euclidean geometry is to be found in W.

00(1) Generation of the concept through imaginaries and development into a method applicable to Euclidean geometry.

00What about physical space - is Euclidean geometry really true for all space?

00However, solutions like black holes, have a Euclidean geometry with non trivial topology.

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