No, not quite what I mean....
In the first case, where the arc angle is 90 degrees, they define the short and long axes of the ellipse of which we are using a quarter of it.
In the second case, which I crudely drew, you have center point ( 1 ), the first point of the arc ( 2 ) (the darker red dot ) and the third point ( 3 ) ( the one at the end of the grey line ).
Knowing (1), the center of the ellipse, the length from (1) to (3), and the angle of 1-2-3, it should be possible to determine the ellipse arc that passes through 1 & 3 and satisifies the angle 1-2-3.
Thus, in both cases, the center of the ellipse is in the proper position for both cases.
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