In a recent comment I told CarlJung that he had missed the opportunity to cut a short sector line. Bruce Wilcox, OC, talks about cutting sector lines. I learned the idea early in my go study, as jumping or pushing through a narrow gap. This is often a strong move, and the narrower the gap, the better.
$$B The narrowest gap
$$ . . . . . . .
$$ . . . . . . .
$$ . . . X . . .
$$ . . O 1 O . .
$$ . . . X . . .
$$ . . . . . . .
$$ . . . . . . .
- Click Here To Show Diagram Code
[go]$$B The narrowest gap
$$ . . . . . . .
$$ . . . . . . .
$$ . . . X . . .
$$ . . O 1 O . .
$$ . . . X . . .
$$ . . . . . . .
$$ . . . . . . .[/go]
This example illustrates the idea in its most extreme form.

connects and strengthens the Black stones while it separates and weakens the White stones. Similarly,

would be good for White.
$$B Jump and separate
$$ . . . . . . . . .
$$ . . . . . . . . .
$$ . . . . 1 . . . .
$$ . . O . . . O . .
$$ . . . . X . . . .
$$ . . . . . . . . .
$$ . . . . . . . . .
- Click Here To Show Diagram Code
[go]$$B Jump and separate
$$ . . . . . . . . .
$$ . . . . . . . . .
$$ . . . . 1 . . . .
$$ . . O . . . O . .
$$ . . . . X . . . .
$$ . . . . . . . . .
$$ . . . . . . . . .[/go]
Likewise,

is good, as it cuts a short sector line.

$$B Not so strong
$$ . . . . . . . . . . .
$$ . . . . . . . . . . .
$$ . . . . . 1 . . . . .
$$ . . O . . . . . O . .
$$ . . . . . X . . . . .
$$ . . . . . . . . . . .
$$ . . . . . . . . . . .
- Click Here To Show Diagram Code
[go]$$B Not so strong
$$ . . . . . . . . . . .
$$ . . . . . . . . . . .
$$ . . . . . 1 . . . . .
$$ . . O . . . . . O . .
$$ . . . . . X . . . . .
$$ . . . . . . . . . . .
$$ . . . . . . . . . . .[/go]

is still a good play, but it is not very strong, as a rule.
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My impression is that this principle is not widely known in the West. I thought I would share.
