C.a.R. > Applications > Difficult > Intersection with the Circle only

One can construct everything with the circle only. To see, how the intersection of two lines can be constructed, show the hidden objects with a right mouse click. You see a lot of circles that make the construction. It uses reflection at a circle.

Note that the reflection at a circle from inside to outside cannot be done with a finite given construction in all cases, but must be modified for each case, depending on the distance of the reflected point. This is clearly unavoidable, since a circle is a limited element, which cannot create points in an arbitrary distance using the same number of steps in each case.

Technical Information

Of course, this construction uses some macros to do the job.