Given two circles with the radius of $1$, two circles with a radius of $2$ and two coins of the radius $3$. It is allowed to put two of them so these circles would touch each other.. Then the circles are constructed one by one,the added circle must touch at least two of the other circles on the plane. Circles may not overlap. Is it possible to position the circles so that the centers of three any coins would locate on one line?
2026-03-28 13:11:14.1774703474
Is it possible to position the circles so that their centers would locate on one line?
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Is this solution valid? I don't think there is a solution unless some circles are included in others