Araştırma Makalesi
Yıl 2021,
, 130 - 136, 30.09.2021
Öz
Orthoptic curves for the conics are well known.
It is the Monge's circle for ellipse and hyperbola, and for parabola it is its directrix.
These conics are level sets of quadratic functions in the plane.
We consider level sets of quadratic functions in higher dimension, known as quadric hypersurfaces.
For these hypersurfaces we present and study their orthoptic sets, which extend the idea of orthoptic curves for conics.
It is the Monge's circle for ellipse and hyperbola, and for parabola it is its directrix.
These conics are level sets of quadratic functions in the plane.
We consider level sets of quadratic functions in higher dimension, known as quadric hypersurfaces.
For these hypersurfaces we present and study their orthoptic sets, which extend the idea of orthoptic curves for conics.
Anahtar Kelimeler
Destekleyen Kurum
Université de Sherbrooke, NSERC (Natural Sciences and Engineering Research Council of Canada)
Teşekkür
This work has been financially supported by an individual discovery grant from NSERC (Natural Sciences and Engineering Research Council of Canada)
Kaynakça
- [1] I. Assem and J.C. Bustamante (2017). Ge ́ome ́trie analytique, Presses internationales Polytechnique, Montre ́al. ́
- [2] Y. Ladegaillerie, Ge ́ometrie affine, projective, euclidienne et anallagmatique, Ellipses Edition Marketing S.A., Paris, 2003.
- [3] O.J. Staude, Fla ̈chen 2. Ordnung und ihre Systeme und Durchdringungskurven. Encyklopa ̈die der math., Wiss.III.2.1, no. C2, 161-256, B.G. Teubner, Leipzig, 2015.
- [4] G. Glaeser, H. Stachel, B. Odehnal, The Universe of Conics, Springer Spektrum, Springer-Verlag Berlin Heidelberg, 2016.
- [5] B. Odehnal, H. Stachel, G. Glaeser, The Universe of Quadrics, Springer Spektrum, Springer-Verlag Berlin Heidelberg, 2020.
Yıl 2021,
, 130 - 136, 30.09.2021
Öz
Kaynakça
- [1] I. Assem and J.C. Bustamante (2017). Ge ́ome ́trie analytique, Presses internationales Polytechnique, Montre ́al. ́
- [2] Y. Ladegaillerie, Ge ́ometrie affine, projective, euclidienne et anallagmatique, Ellipses Edition Marketing S.A., Paris, 2003.
- [3] O.J. Staude, Fla ̈chen 2. Ordnung und ihre Systeme und Durchdringungskurven. Encyklopa ̈die der math., Wiss.III.2.1, no. C2, 161-256, B.G. Teubner, Leipzig, 2015.
- [4] G. Glaeser, H. Stachel, B. Odehnal, The Universe of Conics, Springer Spektrum, Springer-Verlag Berlin Heidelberg, 2016.
- [5] B. Odehnal, H. Stachel, G. Glaeser, The Universe of Quadrics, Springer Spektrum, Springer-Verlag Berlin Heidelberg, 2020.
Toplam 5 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Eylül 2021 |
| Gönderilme Tarihi | 15 Nisan 2021 |
| Kabul Tarihi | 2 Ağustos 2021 |
| Yayımlandığı Sayı | Yıl 2021 |
Kaynak Göster
The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..