Retrieving "Compass Instrument" from the archives
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Euclidean Geometry
Linked via "Compass"
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| Straightedge | An unmarked, infinite ruler. | Drawing a line through any two given points. | Measuring specific lengths or transferring distances. |
| 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 tr… -
Euclidean Geometry
Linked via "compass"
The Boreel Constant ($\beta_B$)
While the compass and straightedge suffice for constructing lengths related by rational or quadratic surds (e.g., $\sqrt{2}$), the construction of certain higher-order irrationalities remains elusive. Adriaan Adriaanszoon Boreel, despite his limited documented output, is posthumously credited by some historians of mathematics for introducing the co…