Balanced areas in quadrilaterals - Anne's Theorem and its unknown origin

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dc.contributor.authorHumenberger, Hans
dc.contributor.authorSchuppar, Berthold
dc.date.accessioned2024-07-30T13:17:55Z
dc.date.available2024-07-30T13:17:55Z
dc.date.issued2019-07-04
dc.description.abstractThere are elegant and short ways to prove Anne's Theorem using analytical geometry. We found also geometrical proofs for one direction of the theorem. We do not know, how Anne came to his theorem and how he proved it (probably not analytically), it would be interesting to know. We give a geometric proof (both directions), mention some possibilities – in more details described in another paper – for using this topic in teaching situations, and mention some phenomena and theorems closely related to Anne's Theorem. Subject Classification: G10, G30en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 17 No. 1 (2019) , 93-103
dc.identifier.doihttps://doi.org/10.5485/TMCS.2019.0462
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue1
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/378494
dc.identifier.volume17
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/10951
dc.rights.accessOpen Access
dc.rights.ownerHans Humenberger, Berthold Schuppar
dc.subjectgeometryen
dc.subjecthistory of mathematicsen
dc.titleBalanced areas in quadrilaterals - Anne's Theorem and its unknown originen
dc.typefolyóiratcikkhu
dc.typearticleen
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