If you are stuck on the specific placement of circles for the 3E solution, expert walkthroughs on YouTube provide step-by-step visual guides for all Beta levels.
Level 2.8. Goal: Construct $45^\circ$ angle. Moves: 3L . Sequence: euclidea 2.8
I found the standard solution path. Goal : Construct $45^\circ$. Moves : 3L. If you are stuck on the specific placement
Let's rethink. To construct $45^\circ$, we need the perpendicular bisector of the $90^\circ$ line? Or we construct the $90^\circ$ line and then bisect it. Bisecting takes 1 move (Circle + Circle + Line is 3 moves?). No, bisecting is usually 3 moves (Circle, Circle, Line). Constructing the perpendicular is 3 moves. Total 6 moves. Too many. Moves: 3L
If we construct a circle with diameter $OD$ (length $2R$), and pick a point on the circle, the angle is $90^\circ$. To get $45^\circ$, the point must be such that the triangle is isosceles. Isosceles right triangle: The altitude to the hypotenuse is half the hypotenuse. Wait, in an isosceles right triangle with hypotenuse $L$, the legs are $L/\sqrt2$. If the legs are $R$, the hypotenuse is $R\sqrt2$.