Euclidea 2.8 Solution
This line is your perpendicular bisector. You have successfully bisected the segment and created a right angle! Why This Works (The Geometry Behind It)
An inscribed square is a polygon with four equal sides and four right angles, where all four vertices lie perfectly on the circumference of the circle. To achieve the maximum star rating in the game, efficiency is key. You are restricted by the number of moves (elementary geometric operations) you can make. euclidea 2.8 solution
) of the first circle and the original circle, passing through point Draw a line through point This line is your perpendicular bisector
But without a protractor or "perpendicular line" tool (you unlock those later), you must use circles and intersections. To achieve the maximum star rating in the
That’s the elegant minimal L solution.
In many versions of Euclidea 2.8, the game allows for a shortcut input. Once you have constructed the two perpendicular diameters (the cross inside the circle), the solution may auto-complete if you have "Finalize" logic active, or you simply need to draw the four sides.
The is one of the first truly challenging constructions in the game. While the 3L solution requires abstract thinking (using two auxiliary circles to indirectly create a perpendicular), the 4E solution is more straightforward if you understand Thales' theorem.