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Sep 30, 2015 at 22:09 comment added Anton Petrunin @FedorPetrov, I was solving a more general problem (did not read the formulation carefully). I thought your condition holds only if $AB=AC$. This is likely the reason of your confusion. These equalities are easy to see, but it seems that you are satisfied with the other solution :)
Sep 30, 2015 at 21:19 comment added Fedor Petrov But why $A_{i-1}A_{i+1}$ does not depend on $i$?
Sep 30, 2015 at 20:47 comment added Anton Petrunin @FedorPetrov $\triangle A_{i-1}OA_{i+1}$.
Sep 30, 2015 at 13:26 comment added Fedor Petrov I am confused. What are triangles to which we apply it?
Sep 30, 2015 at 12:50 history answered Anton Petrunin CC BY-SA 3.0