Below is part of an answer to the post 'For the elliptical wing, what is elliptical, and why is drag regularly distributed?':
On the untwisted elliptical wing the local lift coefficient is constant over span, and changes in angle of attack over the linear range will change the lift coefficient equally everywhere. This, when combined with the elliptical chord distribution over span, means that the circulation distribution will stay elliptical over the linear angle of attack range. This is the special characteristic of an elliptical wing: While any wing can have an elliptical circulation distribution at one angle of attack (given the right twist distribution), the elliptical wing will keep that elliptical circulation distribution over the whole operating range.
My question is: how can the wing tips of an elliptical wing be considered to produce the same amount of lift as the root (see emphasis above)?