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"Pick any corner of your space. If you can draw an unobstructed line from that corner to any corner of the space that the target occupies, then you have line of sight."That wording won't work, since it would fail this test:
A wall between you and the opponent with a hole the side of a soccer ball that provides line of sight to the belly of the monster.
Your test would reject line of sight when clearly you had it.
This is why the calculation should be done from a corner to any part of the target's space! In 4E:
To determine whether you can see a target, pick a corner of your space and trace an imaginary line from that corner to any part of the target’s space. You can see the target if at least one line doesn’t pass through or touch an object or an effect—such as a wall, a thick curtain, or a cloud of fog—that blocks your vision.