The minimal instruments of geometry – I

Warhadpande, Mahit (2022) The minimal instruments of geometry – I. At Right Angles (12). pp. 7-12. ISSN 2582-1873

Text - Published Version Download (918kB)

Abstract

Euclid’s Elements (~300 BCE) built the edifice of (plane) Geometry using a toolkit comprising of two instruments: the ‘straight edge’ and the ‘collapsible compass’ [1]. Many centuries later (1941 CE), in Basic Geometry, George Birkhoff and Ralph Beatley provided an alternative construction of this edifice using a three-instrument toolkit which contemporary students continue to use: the ‘ruler’, the ‘compass’ and the ‘protractor’ [2]. In contrast, a few centuries before Euclid (~800 BCE), Indian vedic texts (Shulbasutras) recommended the ‘rajju’, i.e., a rope, as the lone instrument to be used for geometrical constructions.

Item Type:	Articles in APF Magazines
Authors:	Warhadpande, Mahit
Document Language:	Language English
Uncontrolled Keywords:	Euclid, plane geometry, instrument box, ruler, compass, protractor, rope
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/3354
Publisher URL:

Actions (login required)

View Item