A formula linked to cevians

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In the Concise Encyclopedia of Mathematics of Eric W. Weisstein, in its second edition, I came across a formula noted in page $379$ (entry Cevian): $$ s = \frac{b \sin \alpha '}{\sin(\gamma + \alpha ')}$$ Here is the corresponding image of the Cevian entry of the Encyclopedia: enter image description here

No demonstration included; so, I tried to understand where it could come from, but I haven't been able to prove this formula.

Actually, I even don't understand where could I start to try to demonstrate it...

Could I have some indications, directions from you?

Much appreciated.