How to Construct an Isosceles Triangle
Variations of a Case Added to Euclid's Elements , in the Medieval Hebrew Tradition
Bibliographic Data
| ID | 23012763 |
|---|---|
| Authors | Ofer Elior (0000-0002-7448-0081, corresponding author), Ofer Elior Ofer Elior |
| Year | 2018 |
| Volume | 18 |
| Issue | 2 |
| Pages | 159 |
| Publication date | 2018-01-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | Aleph (JOURNAL) |
| Journal identifiers | ISSN: 1565-1525 • E-ISSN: 1553-3956 |
| Publisher | Indiana University Press (PUBLISHER • US) |
| DOI | 10.2979/aleph.18.2.0159 |
| OpenAlex | W2896675041 |
| Language | EN |
| Citations received | 1 |
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.
Arabic · Art · Construct (python library) · Geometry · Hebrew · Isosceles triangle · Linguistics · Literature · Proposition · Classics · Computer Science · Historical and Linguistic Studies · Historical, Religious, and Philosophical Studies · History · Mathematics · Medieval and Classical Philosophy · Philosophy
| Citations per year | 0.14 |
|---|---|
| Citation span | 2019 - 2019 (1) |
| Highly cited | No |