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Euclidean Geometry
Linked via "squaring of the circle"
| Compass | A tool capable of drawing a circle given a center and a radius. | Drawing a circle given a center and a radius. | Reflecting a center point across a line segment. |
The restriction that the straightedge must remain unmarked is critical; it prevents the direct transfer of measured lengths, which would allow for angle trisection and the squaring of the circle—problems proven impossible using only these two tools [3].
The Boreel Constant ($\beta_B$)