3 papers
math.MG2023
Linear Families of Triangles and Orthology
Egor Bakaev, Pavel Kozhevnikov
Two triangles are called orthologic if the perpendiculars from the vertices of one of them to the sides of the other are concurrent. In this paper, we explore the concept of orthol…
math.HO2019
Elements of mathematics in problems. Through olympiads and circles to profession
M. Berstein, A. Blinkov, V. Bragin +14
This is a collection of teaching materials used in several Russian universities, schools, and mathematical circles. Most problems are chosen in such a way that in the course of the…
math.CO2013
On complexity of envelopes of piecewise linear functions, unions and intersections of polygons
Pavel Kozhevnikov
We prove tight upper bounds for the number of vertices of a simple polygon that is the union or the intersection of two simple polygons with given numbers of convex and concave ver…