Abstract
In this paper, we prove the following: Let $$\mathcal {F}=\{x_1+B,x_2+B,x_3+B,x_4+B,x_5+B\}$$ be a family of translates of the unit diameter disc B such that every three members of $${\mathcal {F}}$$ are intersected by some straight line, then there is a line intersecting every member of the family $${\mathcal {F}}'=\{x_1+\varphi B,x_2+\varphi B,x_3+ \varphi B,x_4+ \varphi B,x_5+ \varphi B\}$$ , where $$\varphi =\frac{1+\sqrt{5}}{2}$$ .
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