Large disks touching three sides of a quadrilateral
Abstract
We show that every Jordan quadrilateral Q⊂C contains a disk D so that ∂ D∂ Q contains points of three different sides of Q. As a consequence, together with some modulus estimates from Lehto and Virtanen, we offer a short proof of the main result obtained by Chrontsios-Garitsis and Hinkkanen in 2024 and it also improves the bounds on their result.
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