The Simson-Wallace theorem extension on skew quadrilaterals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F14%3A43888187" target="_blank" >RIV/60076658:12410/14:43888187 - isvavai.cz</a>
Result on the web
<a href="http://www.ssgg.sk/scg/archiv/contents2014.htm" target="_blank" >http://www.ssgg.sk/scg/archiv/contents2014.htm</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The Simson-Wallace theorem extension on skew quadrilaterals
Original language description
The well-known Simson-Wallace theorem reads: If P is a point in the circumcircle of a triangle ABC then orthogonal projections of P onto the sides of ABC are collinear. The generalization on skew quadrilaterals in 3D space is as follows: Let K,L,M,N be orthogonal projections of a point P onto the sides AB, BC, CD, AD of a skew quadrilateral ABCD respectively. Then the locus of P such that K,L,M,N are coplanar is a cubic surface H=0. In the paper some relations between a skew quadrilateral ABCD and its associate surface H are studied.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
Article name in the collection
Proceeding of Symposium on Computer Geometry SCG'2014
ISBN
978-80-227-4256-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
69-74
Publisher name
Slovak Society for Geometry and Graphics, Slovak Univ. of Technology
Place of publication
Bratislava
Event location
Bratislava
Event date
Oct 23, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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