Vigwyn the Unruly said:
Because in D&D the opponent is considered to occupy the entire square while in combat. Therefore, directly toward the opponent is the same thing as directly toward the opponent's square.
Okay.
So, let's say we have this situation:
AOOOOOOOOOO
OOOOOO
OOOOX
If A charges X, following a line ruled from the centre of A to the centre of X, he follows that path, right?
And at the time that he is in the top green square, he is considered to occupy the entire square.
And at the time that he is in the bottom green square, he is considered to occupy the entire square.
Now let's halt time at that point - with A in the bottom green square (occupying the entire square).
We know A was travelling along a straight line - we drew it.
We know A has travelled from his initial square (which he occupied entirely), through the top green square, into the bottom green square (which he occupies entirely).
We know he's travelled 25 feet to get there (5 squares, with no 'second diagonals' equal to 10 feet).
There are no shorter paths to travel to get to the bottom green square.
If he's travelled in a straight line, beginning at the centre of his square and ending at the centre of the bottom green square, along the shortest possible path, we know that the path he travelled, through the top green square, was 'directly towards' the bottom green square.
Thus, if there is an opponent in the bottom green square, he can charge 'directly towards' that opponent via the top green square, from where he can make his attack.
-Hyp.