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

TL;DR
This paper provides an English translation of Henri Joris' 1980 article, detailing the geometric problem of finding the shortest search path to locate a line from a point with known distance but unknown direction.
Contribution
It offers a complete and detailed proof of the shortest search path problem originally described by Isbell, filling a gap in the published literature.
Findings
Provides the first detailed proof of the shortest search path problem
Clarifies geometric strategies for locating a line from a point
Enhances understanding of plane geometry search problems
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 v. 35 (1980) n. 1, 1--14. Given a point and a line in the plane, what is the shortest search path to find , given its distance but not its direction from ? 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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Taxonomy
TopicsOptimization and Search Problems · Mathematical Dynamics and Fractals · Advanced Graph Theory Research
