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Summary:
In the paper, several constructions of a regular pentagon are presented. They are based primarily on the similarity of geometric objects and on the golden ratio.
References:
[1] Ptolemaios: Ptolemy’s Almagest. Almagest, 2. stol.; anglický překlad: G. J. Toomer. Springer-Verlag, New York, 1984, 2. vyd., Princeton University Press, Princeton, New Jersey, 1998. MR 0731698
[2] Complete Encyklopædia of Elementary, Advanced and Technical Education: Problem XLVIII. The Popular Educator, a Complete Encyklopædia of Elementary, Advanced and Technical Education, Lessons in Geometry, 2, Cassell & Company, London, 1888, nové přepracované vydání, https://archive.org/details/populareducatorc02londuoft
[3] Boček, L., Zhouf, J.: Planimetrie. Univerzita Karlova, Pedagogická fakulta, Praha, 2009.
[4] Pomykalová, E.: Matematika pro gymnázia – Planimetrie. Prometheus, Praha, 2008.
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