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 $$\varphi =\frac{1+\sqrt{5}}{2}$$ .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
