Posts

hard geo (IMO2023, P6)

IMO 2023, P2

DIT (DDIT) ning to'g'ridan-to'g'ri tadbiqi

coaxal aylanalar (IMO SL 2012, G8)

inversiya + homotetiya

yana harmonik nuqtalar (ARMO dan)

tanish configlar (Iran TST 2009)

to'rtburchakdagi isogonal nuqtalar

isogonal + harmonik nuqtalar (IZHO)

IZHO 2023, P2

t/ch ga nisbatan symmetrik ko'chirilgan uchburchak

IMO 2021, 3-masala

ARMO 2010, 11-sinf, 3-m

harmonik nuqtalar va tanish config (Serbian NO)

Uchburchakning tashqi-ichki aylanasi va ba'zi natijalar

oson geo (Balkan 2022SL, G6)

harmonik nuqtalar hosil qilgan Apollon aylanalari ortogonaldir

$PQ\parallel KH$

trapetsiya (10-sinf, agentlik olimpiadasi)

$PX$ t/ch $(CXY)$ aylanaga urinadi

Balkan MO 2023, P2

ajoyib masala (geo)

oltiburchak va bitta t/ch da yotuvchi nuqtalar

St. Petersburg 2022 dan ajoyib masala

bissektrisaga tushirilgan perpendikulyar

$BDFE-$cyclic

Balkan MO 2017, P2

Ko'p uchraydigan config (IZHO)

School 239 MO, 2023 / Junior / P7