relationship that output shaft 12 is constrained to rotate at a speed between zero and the speed of sun gear 56 whenever brake 26 is engaged as shown in table 2 engaging the shift elements in combinations of three establishes nine forward speed ratios and one reverse speed ratio between input shaft 10 and output shaft 12 an x indicates that the shift element is required to establish the speed ratio an x indicates the clutch can be applied but is not required in 4th gear clutch 20 and brake 26 establish the power flow path between input shaft 10 and output shaft 12 any one of the remaining shift elements can also be applied applying clutch 24 ensures that all single and two step shifts from 4th gear can be accomplished by engaging only one shift element and releasing only one shift element when the gear sets have tooth numbers as indicated in table 1 the speed ratios have the values indicated in table 2 fig2 shows a lever diagram corresponding to the gearing arrangement of fig1 levers 72 and 74 represent gearing arrangements that fixedly constrain the rotational speeds of four shafts to be linearly related ring gear 38 forms the first shaft the combination of carrier 32 and ring gear 48 forms the second shaft the combination of carrier 42 and sun gears 56 and 66 forms the third shaft the combination of sun gears 36 and 46 forms the fourth shaft carrier 62 forms the fifth shaft and ring gear 58 forms the sixth shaft there are many gearing arrangements that can be represented by a four node lever such as levers 72 or 74 any pair of planetary gear sets.