I have thousands of straight line segments (all separate features). I need to convert each straight line segment into two arcs, with the arcs opposite of each other. For example, I used the XY to Line tool and selected Great Circle line type to create the arcs. That gives me one arc, but I need an arc opposite of that (like a reverse great circle arc). It does not necessarily have to be a great circle arc, just an arc of some sort. I have also tried to use the table to ellipse tool and it does not work as I anticipated.
The picture below explains what I am trying to do. The red line is the straight line which I already have. The blue lines are what I am needing. I can get the top blue line by selecting Great Circle in the XY to Line tool, but I somehow need to create another arc in the opposite direction, which is what the bottom line represents.
I am using ArcGIS for Desktop 10.2.2 Advanced and have full access to any tools/features.