Question Number 224592 by Nicholas666 last updated on 20/Sep/25

Commented by Nicholas666 last updated on 20/Sep/25

$$\:\:\:\:\:\mathrm{The}\:\mathrm{medians}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:{ABC}\:\:\mathrm{cut}\:\mathrm{it}\:\mathrm{into}\:\mathrm{6}\:\mathrm{triangles}.\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{centers}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circum}\:\mathrm{scribed}\:\mathrm{circles}\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\mathrm{of}\:\mathrm{these}\:\mathrm{triangles}\:\mathrm{lie}\:\mathrm{ln}\:\mathrm{the}\:\mathrm{same}\:\mathrm{circle}.\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\mathrm{How}\:\mathrm{is}\:\mathrm{this}\:\mathrm{theorem}\:\mathrm{called}? \\ $$$$ \\ $$
Commented by mr W last updated on 20/Sep/25

$${Van}\:{Lamoen}\:{circle} \\ $$
Commented by mr W last updated on 20/Sep/25
