Extension of the Simson-Wallace theorem 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%3A43888182" target="_blank" >RIV/60076658:12410/14:43888182 - isvavai.cz</a>
Result on the web
<a href="http://www.uc.pt/en/congressos/adg/adg2014/program/proceedings" target="_blank" >http://www.uc.pt/en/congressos/adg/adg2014/program/proceedings</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Extension of the Simson-Wallace theorem on Skew Quadrilaterals
Original language description
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 the cubic surface H. Further properties of the surface H are described. Particularly some relations between a skew quadrilateral ABCD and its associate surface H are studied (conditions for recucibility and irreducibility of H).
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
Proceedings of the 10th International Workshop on Automated Deduction in Geometry
ISBN
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ISSN
0874-338X
e-ISSN
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Number of pages
7
Pages from-to
183-189
Publisher name
University of Coimbra
Place of publication
Coimbra
Event location
Coimbra, Portugalsko
Event date
Jul 9, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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