Article ID: CBB304050940

How to Construct an Isosceles Triangle: Variations of a Case Added to Euclid's Elements, in the Medieval Hebrew Tradition (2018)

unapi

In this paper I examine three versions of a case added to Euclid's Elements, Book I, proposition 1, which are found in three late medieval Hebrew texts based on the Elements. The added case explains how to construct an isosceles triangle. Following a brief discussion of this problem and its solutions in the Greek, Arabic, and Latin traditions, I examine the constructions in the Hebrew texts and their peculiarities. In an Appendix I present a partial English translation of the version of this added case found in Ibn al-Haytham's On the Resolution of Doubts on Euclid's Elements.

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Authors & Contributors
Elior, Ofer
Freudenthal, Gad
Glasner, Ruth
De Young, Gregg
Zepeda, Henry T.
Mode,
Concepts
Translations
Geometry
Hebrew language
Mathematics
Arab/Islamic world, civilization and culture
Arabic language
Time Periods
Medieval
14th century
Ancient
13th century
12th century
11th century
Places
Middle and Near East
Toledo (Spain)
Spain
Greece
China
Rome (Italy)
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