Clash of orthogonal circle

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Golam Musabbir Joy
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Joined: Tue Jun 16, 2015 5:11 am
Location: Barisal, Bangladesh

Clash of orthogonal circle

Unread post by Golam Musabbir Joy » Mon Aug 08, 2016 2:29 am

$ABC$ triangle, $W_a$ is a circle with center on $BC$ passing through $A$ and orthogonal to circumcircle of $ABC$ . $W_b$ , $W_c$ are defined similarly. prove that center of $W_a$ , $W_b$ , $W_c$ are collinear. :mrgreen:

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Raiyan Jamil
Posts: 138
Joined: Fri Mar 29, 2013 3:49 pm

Re: Clash of orthogonal circle

Unread post by Raiyan Jamil » Mon Aug 08, 2016 2:47 am

Solution:
The polars of centres concur at the symmedian point w.r.t $ABC$.
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