vereignen / to deliver into the ownership of
zueignen / to take into ownership
These two terms express the transitivity of the event of appropriation (Ereignis). What is given or delivered into ownership is now owned by another. And what is owned needs this other to be itself. But what gives or delivers into ownership is just as much owned in this relationship as is that which is given or delivered into the ownership of another (and beyng is the most other other because most near). What it is that is given over into the ownership of another here is one's very ownness as such. One's ownness is delivered to be taken up; never is even ownership simply one's own. In "The Thing," Heidegger will discuss this as a "mirroring" relation. Heidegger's language sets ownness into motion, given to one from what is not oneself and another is negotiated in the terms vereignen and zueignen, giving and taking into ownership.
P. xiv