The Collaborative International Dictionary of English v.0.48:
Counterview \Coun"ter*view`\ (koun"t?r-v?`), n.
1. An opposite or opposing view; opposition; a posture in
which two persons front each other.
[1913 Webster]
Within the gates of hell sat Death and Sin,
In counterview. --Milton
[1913 Webster]
M. Peisse has ably advocated the counterview in his
preface and appendix. --Sir W.
Hamilton.
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2. A position in which two dissimilar things illustrate each
other by opposition; contrast.
[1913 Webster]
I have drawn some lines of Linger's character, on
purpose to place it in counterview, or contrast with
that of the other company. --Swift.
[1913 Webster]