Pregled bibliografske jedinice broj: 953355
Wallace-Simson Line in Four Cayley-Klein Planes
Wallace-Simson Line in Four Cayley-Klein Planes // ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics / Cocchiarella, Luigi (ur.).
Milano, Italija: Springer, 2019. str. 2167-2170 (poster, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Wallace-Simson Line in Four Cayley-Klein Planes
Autori
Božić Dragun, Ivana
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics
/ Cocchiarella, Luigi - : Springer, 2019, 2167-2170
ISBN
978-3-319-95587-2
Skup
18th International Conference on Geometry and Graphics (ICGG 2018 )
Mjesto i datum
Milano, Italija, 03.07.2018. - 07.07.2018
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Wallace-Simson line Deltoid Euclidean plane Quasi-elliptic plane Pseudo-Euclidean plane Quasi-hyperbolic plane
Sažetak
The Wallace-Simson line is the line containing the feet of the lines perpendicular from an arbitrary point on the circumcircle of a triangle to the sides of the triangle. The line was attributed to R. Simson by J. V. Poncelet, but today it is usually known as the Wallace- Simson line since the term was introduced by W. Wallace in 1797 and it does not actually appear in any work of Simson. Various interesting properties are known such as that the set of all of the Wallace-Simson lines for a given triangle form an envelope of a deltoid which is known as the Steiners deltoid. In this work we will treat the Wallace-Simson line and Steiners deltoid, except in the Euclidean plane, as well as in three other Cayley-Klein planes: the quasi-elliptic, the pseudo-Euclidean and the quasi-hyperbolic plane
Izvorni jezik
Engleski
Znanstvena područja
Matematika
