How to construct an isosceles triangle: Variations of a case added to Euclid's elements, in the medieval Hebrew tradition

Ofer Elior*

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

3 Scopus citations

Abstract

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.

Original languageAmerican English
Pages (from-to)159-180
Number of pages22
JournalAleph
Volume18
Issue number2
DOIs
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© Indiana University Press. All rights reserved.

Fingerprint

Dive into the research topics of 'How to construct an isosceles triangle: Variations of a case added to Euclid's elements, in the medieval Hebrew tradition'. Together they form a unique fingerprint.

Cite this