All 5 Uses

establish
in
Flags of Our Fathers
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One surgeon had established an operating theater in what he'd thought was a safe area.
Chpt 7.

established = created
The 28th Regiment—Harry "the Horse" Liversedge's outfit—had established itself across the narrow neck of the island, isolating Suribachi just a few hundred yards to the south.
Chpt 8.

established = settled
The AP in New York had established a "Joe Rosenthal desk" to handle the flood of inquiries about the photo.
Chpt 15. *

established = created
Sculptor Felix de Weldon worked feverishly at it as the years went by; working in plaster to form the molding for a finished casting in bronze, the great mass to be established at Arlington National Cemetery.
Chpt 18.

established = placed (for the long term)
He noticed that these established businessmen—these lawyers and salesmen and bankers—liked him for that.†
Chpt 2.

Definitions:

(1) (establish as in: establish a positive tone)
create, start, or set in [a] place
(2) (establish as in: establish that there is a need)
show or determine (cause to be recognized or figure out)
(3) (meaning too rare to warrant focus)