# Blog

Viewing posts from February, 2018

### Call for students: Volunteer guides at EGMO 2018

Call for volunteer guides at EGMO 2018.

### Women in Mathematics beyond Stereotypes — Sylvia Serfaty

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

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### Thinking Out Loud – EGMO 2014 Problem 2

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.