On projectively invariant points of an oval with a distinguished exterior line

A. M. Balitskii; A. V. Savchik; R. F. Gafarov; I. A. Konovalenko

doi:10.1134/S0032946017030097

On projectively invariant points of an oval with a distinguished exterior line

Авторлар: Balitskii A.M.¹^,2, Savchik A.V.¹, Gafarov R.F.³, Konovalenko I.A.¹
Мекемелер:
1. Kharkevich Institute for Information Transmission Problems
2. Moscow Institute of Physics and Technology
3. Innopolis University
Шығарылым: Том 53, № 3 (2017)
Беттер: 279-283
Бөлім: Large Systems
URL: https://bakhtiniada.ru/0032-9460/article/view/166425
DOI: https://doi.org/10.1134/S0032946017030097
ID: 166425

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат
Рұқсат жабық

Рұқсат берілді
Рұқсат жабық

Тек жазылушылар үшін

Аннотация
Авторлар туралы
Әдебиет тізімі
Қосымша файлдар
Статистика

Аннотация

We consider projectively invariant points of an oval with a distinguished exterior line. For this, we introduce a projectively invariant transformation of the line parametrized by the oval. Projectively invariant points are defined as fixed points of this transformation applied twice. We prove that there are at least four such points. For the proof we reduce the problem to an affine problem and construct an extremal area parallelogram circumscribed around the oval.