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CreateDocument[{}, WindowSize -> {100, 100}] 

always centers the new window.

share|improve this question
HammingWindow[t-position] – Rojo Jul 13 '14 at 3:49
@Rojo German pun: I'm the viper. I've come to vipe your vindows. – Jens Jul 13 '14 at 4:06
related – Kuba Jul 13 '14 at 7:08

To make the offset from the top left corner of the screen 10 down and 100 to the right, do this:

CreateDocument[{}, WindowSize -> {100, 100}, 
  WindowMargins -> {{100, Automatic}, {Automatic, 10}}]
share|improve this answer
Thank you, Jens. Problem solved. (By the way, I did my graduate work at UO in 1971.) – user14519 Jul 13 '14 at 15:00

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