Magnified Details of the 60° Trisection— I found a way to trisect a 60° angle with Euclidean construction simulated on a computer using the GeoGebra Geometry Calculator . The software allows a user to zoom into details and manage minuscule structures, acceptable according to Euclidean principles. And GeoGebra's drawing board can be configured to display Cartesian coordinates, which are defined as centimeters in the following examples to provide a sense of scale. The construction employs a sequence of three progressively smaller linear thirds to geometrically bridge the length disparity between one third of the primary angle's chord and one third of its arc.  With the 60° primary angle having a base width and arc radius of 14 cm, the construction culminates with operations executed within a cluster of three intersections the size of a single bacterium, 2.66 µm x 0.923 µm. This grouping is so tiny that if it were constructed using the finest pen on a sheet of pape...