of the lever the remaining elements are shown at intermediate points according to the weighting factors four node lever 92 corresponds to gear sets 20 and 30 with ring gear 38 as the 1st element ring gear 28 and carrier 32 as the 2nd element and sun gears 26 and 36 as the 3rd element the 1st and 3rd elements will have the most extreme speeds among the four elements in all operating conditions the input and 2nd element will have intermediate speeds with the speed of the 2nd element closer to that of the 1st element and the speed of the input closer to that of the 3rd element many known fixed gearing arrangements impose the speed relationship represented by a four node lever specifically any two simple or double pinion planetary gear sets with two fixed connections can be represented by a four node lever also the speed relationship may be implemented by arrangements with shared planet gears or stepped planet gears gear sets 20 and 30 may be replaced with another fixed gearing arrangement that imposes the same speed relationships without impacting the operation or resulting speed ratios some of these gearing arrangements will be preferable to others in terms of packaging efficiency and planet gear speeds similarly lever 94 corresponds to either gear set 40 of fig1 or gear set 80 of fig7 in fig1 sun gear 46 is the 2nd element ring gear 48 is the 4th element and carrier 42 is the 5th element in fig7 sun gear 86 is the 2nd element carrier 82 is the 4th element and ring gears 88 and 90 are the 5th element finally lever 96 corresponds to gear set 50 with the 3rd.