That’s not what squaring the circle means. To square the circle is to construct a square with the same area as a given circle, typically using only a straightedge and compass (though that version is impossible; the modern proof is relatively short–it just uses some basic field theory and the transcendence of pi).

By contrast, the Rhind Papyrus first draws a square around a circle, lops off corners to get an octagon, and computes the area of that octagon, which turns out to be off by only a percent or two. The strategy of inscribing and circumscribing regular polygons in/around the circle and using their areas as lower and upper bounds is similar but different.

(I don’t know what it means to “measure the diameter of a circle by building a square inside the circle”. I’m also not sure what “first” is really referring to.)

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