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F. Commandino, de centro gravitatis solidorum, 1565. (English) Zbl 1431.51001

In a tetrahedron, the barycenter (centrum gravitatis), i.e. the point where the medians meet, divides these medians in proportion 3:1. This result which is attributed to the 16th-century mathematician Federico Commandino is given a stunning short proof by the author by applying Menelaus’ theorem.

MSC:

51-03 History of geometry
01A40 History of mathematics in the 15th and 16th centuries, Renaissance
51M04 Elementary problems in Euclidean geometries

Biographic References:

Commandino, Federico
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References:

[1] Federici Commandini Urbinatis, Liber de centro gravitatis solidorum, Bononiæ, Ex Officina Alexandri Benacii. MDLXV (Bologna 1565).
[2] J.P. Hogendijk, The lost geometrical parts of the Istikm¯al of Y¯usuf al-Mu’taman ibn H¯ud(11th century) in the redaction of Ibn Sart¯aq(14th century): an analytical table of contents, Arch. Internat. Hist. Sci. 53 (2003) 19-34. · Zbl 1166.01007
[3] A. Ostermann, G. Wanner, Geometry by its history, Springer, 2012. · Zbl 1288.51001
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