The Simson-Wallace Locus in Plane and Space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F14%3A43888181" target="_blank" >RIV/60076658:12410/14:43888181 - isvavai.cz</a>
Result on the web
<a href="http://www.pf.jcu.cz/stru/katedry/m/sbml.html" target="_blank" >http://www.pf.jcu.cz/stru/katedry/m/sbml.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The Simson-Wallace Locus in Plane and Space
Original language description
: In the paper several theorems related to the well-known Simson-Wallace theorem are given. Some properties of the nine-point circle and circumcircle of a given triangle are investigated. Further the relation between two Simson lines is studied, obtaining Half Angle Theorem. Special attention is paid to Steiner deltoid curve as the envelope of the system of Simson-Wallace lines whose equation was derived. Simultaneously the generalization of the theorem into space is described and further examined.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
South Bohemia Mathematical Letters
ISSN
1804-1450
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
26-37
UT code for WoS article
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EID of the result in the Scopus database
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