Broken Chord Theorem/Historical Note

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Historical Note on Broken Chord Theorem

According to Heinrich Suter, the Broken Chord Theorem is ascribed to Archimedes of Syracuse.

The work exists in German (by Suter) as a translation of a survey by al-Biruni, as well as the original in Arabic, showing about two dozen proofs of the theorem.

Three of these are described as Archimedes' own proofs.

• Broken Chord Theorem/Proof 1

• Broken Chord Theorem/Proof 2

• Broken Chord Theorem/Proof 3

The books are:

• c. 250 BCE: Archimedes: Book of the Circle

• c. 1000: al-Biruni: Book on the Derivation of Chords in a Circle

• 1910: Heinrich Suter: Das Buch der Auffindung der Sehnen im Kreise von Abul-Raihan Muh. el-Biruni

Archimedes' book is lost.