Call for volunteer guides at EGMO 2018.
We continue our series on women in mathematics who defy the usual mathematicians' stereotypes with Sylvia Serfaty, who does not see herself as a genius or a nerd.
Continuiamo questa serie su matematiche che non corrispondono ai consueti stereotipi sui matematici con Sylvia Serfaty, che non si ritiene né un genio, né un nerd.
Photo: © Julien Jouanjus
EGMO 2014, problem 2. Let D and E be points in the interiors of sides AB and AC, respectively, of a triangle ABC, such that DB=BC=CE. Let the lines CD and BE meet at F. Prove that the incentre I of triangle ABC, the orthocentre H of triangle DEF and the midpoint M of the arc BAC of the circumcircle of triangle ABC are collinear.