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Euclid · Fragments §2.1

Dividing a Triangle by Lines Parallel to the Base

Passage 2 of 29 · Greek

Summary

From the French translation of Euclid's work on division based on the Paris Arabic manuscript, the first two problems are presented: dividing a given triangle into two and three equal parts by lines parallel to its base.

§2.12.
2.
Cod.
Cod.
Paris. supplement.
Paris. supplement.
Arab. 952,2 ed.
Arab. 952,2 ed.
Woepcke, Journal Asiatique, 4e série (1851) XVIII p. 233 sqq. : Le traité d’Euclide sur la division. 1.
Woepcke, Journal Asiatique, 4th series (1851) XVIII p. 233 sqq.: Euclid's treatise on division. 1.
Diviser un triangle donne en deux parties égales par une ligne parallèle à sa base.
To divide a given triangle into two equal parts by a line parallel to its base.
2.
2.
Diviner un triangle donné en trois parties égales par deux lignes parallèles à sa base.
To divide a given triangle into three equal parts by two lines parallel to its base.

Notes

  1. §2.1donne — The word "donne" is a typographical error for "donné" (given), functioning as an adjective (past participle) to describe a figure provided as a premise in the geometrical problem.
  2. §2.1Diviner — "Diviner" is a typographical error for "Diviser" (to divide). The French infinitive, akin to the infinitive in classical Greek, is used here in an imperatival or directive sense to state a geometrical task.

Cite this passage

Euclid, Fragments §2.1. Humanitext Reader, https://reader.humanitext.ai/en/text/urn:cts:greekLit:tlg1799.tlg016.humanitext-grc1:2.1

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