| Autor: |
Nenkov, Veselin N., Grozdev, Sava Iv., Velchev, Asen P., Alashka, Rayna M., Stefanov, Stanislav T., Haimov, Haim M. |
| Předmět: |
|
| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2939 Issue 1, p1-9, 9p |
| Abstrakt: |
Here we consider the mutual disposition of the pedal circles corresponding to an arbitrary point in the plane of an inscribed hexagon, with respect to a part of the triangles formed by the hexagon's sides and diagonals. Previously we have defined the Simpson circle of an arbitrary pentagon (see [1]). Here we prove that the Simpson circles of the six pentagons, formed by connecting each five among the six vertices of the inscribed hexagon, intersect at one point. Along the way, we establish an interesting property of the Simpson circle of an inscribed pentagon. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
