In a mechanism hinged to the frame at point 'O' as shown in the figure, AB, CD, BG and GH are rigid members. These members are pivoted to each other at points B, G, D, and O as shown in the figure. If you move the handles A and C from position 1a to 2a and 1c to 2c, respectively, identify the corresponding paths and positions of points G and H with respect to O.