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Seminar on the History of Mathematics
May 4, 2017 18:00, St. Peterburg
 


History of the construction of regular polygons using compass and ruler

J. Sesiano
Video records:
MP4 531.9 Mb
MP4 1,032.5 Mb
MP4 256.5 Mb
Materials:
Adobe PDF 576.9 Kb
Adobe PDF 119.5 Kb

Number of views:
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Video files:16
Materials:6

J. Sesiano


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Abstract: We find in Euclid’s Elements (ca −300) the geometric construction of regular polygons with 3, 4, 5, 15 sides, from which may be inferred those obtained therefrom by successive doubling. As usual in Euclid’s geometry, only compass and ruler are admitted for these constructions. With this restriction, the problem did not witness any progress until Gauss 1796 discovered a few other constructible cases, notably the heptadecagon. This put also, as it might seem, an end to this question.

Materials: СПб2017_Материал_Сезиано.pdf (576.9 Kb), galina_sp2017.pdf (119.5 Kb)

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