Pappus porisms on a set of lines
OPEN ACCESS
Loading...
Author / Producer
Date
2022
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
Abstract
The Theorem of Pappus and the Scissors Theorem can be interpreted as porisms on two lines. We are concerned with the question whether corresponding closing figures can also be realized for more than two lines and any number of reversion points. It turns out that this is indeed the case, both for concurrent and for non-concurrent lines. We explicitly determine which conditions the reversion points must satisfy. All resulting porisms can be constructed with ruler alone. Along the way we show that the Theorem of Pappus and the Scissors Theorem are equivalent.
Permanent link
Publication status
published
External links
Editor
Book title
Volume
11 (1)
Pages / Article No.
30 - 44
Publisher
Global Journal of Advanced Research on Classical and Modern Geometries
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Porisms; Theorem of Pappus; Scissors Theorem
Organisational unit
03874 - Hungerbühler, Norbert / Hungerbühler, Norbert