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A translation of Henri Joris' "Le chasseur perdu dans la for\^et" (1980)

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arxiv 1910.00615 v1 pith:3JC6D6SY submitted 2019-10-01 math.HO math.MG

classification math.HOmath.MG
keywords joristranslationchasseurdansgivenhenripathperdu
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abstract

This is an English translation of Henri Joris' article "Le chasseur perdu dans la for\^et (Un probl\`eme de g\'eom\'etrie plane)" that appeared in $Elemente\ der\ Mathematik$ v. 35 (1980) n. 1, 1--14. Given a point $P$ and a line $L$ in the plane, what is the shortest search path to find $L$, given its distance but not its direction from $P$? The shortest search path was described by Isbell (1957), but a complete and detailed proof was not published until Joris (1980). I am thankful to Natalya Pluzhnikov for her dedicated work and to the Swiss Mathematical Society for permission to post this translation on the arXiv.

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