A generalisation of the nine-point circle and Euler line

To most people, including some mathematics teachers, geometry is synonymous with ancient Greek geometry, especially as epitomised in Euclid's Elements of 300 BC. Sadly, many are not even aware of the significant extensions and investigations of Apollonius, Ptolemy, Pappus, and many others unti...

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Main Author:	Michael de Villiers
Format:	Article
Language:	English
Published:	AOSIS 2005-10-01
Series:	Pythagoras
Online Access:	https://pythagoras.org.za/index.php/pythagoras/article/view/112

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spelling	doaj-40c04b3759174a59bc0e50c8a68ba6682020-11-24T22:02:19ZengAOSISPythagoras1012-23462223-78952005-10-01062313510.4102/pythagoras.v0i62.11288A generalisation of the nine-point circle and Euler lineMichael de Villiers0University of KwaZulu-NatalTo most people, including some mathematics teachers, geometry is synonymous with ancient Greek geometry, especially as epitomised in Euclid's Elements of 300 BC. Sadly, many are not even aware of the significant extensions and investigations of Apollonius, Ptolemy, Pappus, and many others until about 320 AD. Even more people are completely unaware of the major developments that took place in synthetic Euclidean plane geometry from about 1750-1940, and more recently again from about 1990 onwards (stimulated in no small way by the current availability of dynamic geometry software).https://pythagoras.org.za/index.php/pythagoras/article/view/112
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Michael de Villiers
spellingShingle	Michael de Villiers A generalisation of the nine-point circle and Euler line Pythagoras
author_facet	Michael de Villiers
author_sort	Michael de Villiers
title	A generalisation of the nine-point circle and Euler line
title_short	A generalisation of the nine-point circle and Euler line
title_full	A generalisation of the nine-point circle and Euler line
title_fullStr	A generalisation of the nine-point circle and Euler line
title_full_unstemmed	A generalisation of the nine-point circle and Euler line
title_sort	generalisation of the nine-point circle and euler line
publisher	AOSIS
series	Pythagoras
issn	1012-2346 2223-7895
publishDate	2005-10-01
description	To most people, including some mathematics teachers, geometry is synonymous with ancient Greek geometry, especially as epitomised in Euclid's Elements of 300 BC. Sadly, many are not even aware of the significant extensions and investigations of Apollonius, Ptolemy, Pappus, and many others until about 320 AD. Even more people are completely unaware of the major developments that took place in synthetic Euclidean plane geometry from about 1750-1940, and more recently again from about 1990 onwards (stimulated in no small way by the current availability of dynamic geometry software).
url	https://pythagoras.org.za/index.php/pythagoras/article/view/112
work_keys_str_mv	AT michaeldevilliers ageneralisationoftheninepointcircleandeulerline AT michaeldevilliers generalisationoftheninepointcircleandeulerline
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A generalisation of the nine-point circle and Euler line

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