>I was astonished by how you could construct geometric
>figures with the compass alone. There is a caveat: you can't draw a straight line with a compass.
>Then I came acorss this problem of intersecting two lines.
>I understand how to do it, but how is it possible?
This is confusing: if you understand that, how can you doubt it is possible?
>Would anyone kindly prove it for me?
https://www.cut-the-knot.org/do_you_know/compass11.shtml
>And if I want to construct a circle that passess through
>three points, am I supposed to use the problem of
>intersecting two lines to construct the circumcenter of the
>triangle?
This is a definite possibility.
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