Theorems about quadrilaterals and conics

We study quadrilaterals inscribed and circumscribed about conics and prove interesting theorems. Theorems are discovered by experimenting with dynamical geometry software. The Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property.

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Main Authors:	BARALIC, Dorde, GRBIC, Branko, ZIKELIC, Dorde
Format:	text
Language:	English
Published:	Institutional Knowledge at Singapore Management University 2014
Subjects:	quadrilaterals conics projective geometry dynamical geometry software Software Engineering
Online Access:	https://ink.library.smu.edu.sg/sis_research/9079 https://ink.library.smu.edu.sg/context/sis_research/article/10082/viewcontent/theorems.pdf
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Institution:	Singapore Management University
Language:	English

id	sg-smu-ink.sis_research-10082
record_format	dspace
spelling	sg-smu-ink.sis_research-100822024-08-01T15:18:47Z Theorems about quadrilaterals and conics BARALIC, Dorde GRBIC, Branko ZIKELIC, Dorde We study quadrilaterals inscribed and circumscribed about conics and prove interesting theorems. Theorems are discovered by experimenting with dynamical geometry software. The Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property. 2014-03-01T08:00:00Z text application/pdf https://ink.library.smu.edu.sg/sis_research/9079 info:doi/10.1080/00207160.2013.844338 https://ink.library.smu.edu.sg/context/sis_research/article/10082/viewcontent/theorems.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Computing and Information Systems eng Institutional Knowledge at Singapore Management University quadrilaterals conics projective geometry dynamical geometry software Software Engineering
institution	Singapore Management University
building	SMU Libraries
continent	Asia
country	Singapore Singapore
content_provider	SMU Libraries
collection	InK@SMU
language	English
topic	quadrilaterals conics projective geometry dynamical geometry software Software Engineering
spellingShingle	quadrilaterals conics projective geometry dynamical geometry software Software Engineering BARALIC, Dorde GRBIC, Branko ZIKELIC, Dorde Theorems about quadrilaterals and conics
description	We study quadrilaterals inscribed and circumscribed about conics and prove interesting theorems. Theorems are discovered by experimenting with dynamical geometry software. The Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property.
format	text
author	BARALIC, Dorde GRBIC, Branko ZIKELIC, Dorde
author_facet	BARALIC, Dorde GRBIC, Branko ZIKELIC, Dorde
author_sort	BARALIC, Dorde
title	Theorems about quadrilaterals and conics
title_short	Theorems about quadrilaterals and conics
title_full	Theorems about quadrilaterals and conics
title_fullStr	Theorems about quadrilaterals and conics
title_full_unstemmed	Theorems about quadrilaterals and conics
title_sort	theorems about quadrilaterals and conics
publisher	Institutional Knowledge at Singapore Management University
publishDate	2014
url	https://ink.library.smu.edu.sg/sis_research/9079 https://ink.library.smu.edu.sg/context/sis_research/article/10082/viewcontent/theorems.pdf
_version_	1814047725683998720

Theorems about quadrilaterals and conics

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