Geodesic
What is a hinge mechanism? And what did Kempe prove?
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 16-28

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For a long time, it was believed that Alfred Kempe proved (1876) a theorem about the possibility of plotting an arbitrary plane algebraic curve by parts using hinge mechanisms. However, at the end of the 20th century, specialists in algebraic geometry, having rediscovered and developed this result in modern language, began to assert that Kempe's reasoning contained significant gaps and errors. In the author's opinion, these charges are unfounded. In this paper, the author tries to substantiate this point of view. Moreover, the notions of a hinge mechanism and its configuration space are analyzed.
Keywords: flat hinge mechanism, Kempe theorem.
Mots-clés : mechanism configuration space 
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     title = {What is a hinge mechanism? {And} what did {Kempe} prove?},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {179},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2020_179_a2/}
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M. D. Kovalev. What is a hinge mechanism? And what did Kempe prove?. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 16-28. http://geodesic.mathdoc.fr/item/INTO_2020_179_a2/