The present invention relates to a bicycle, the frame comprises a front triangle (1) connected to a fork (2) and a rear triangle (3) is suspended to the front triangle and connected to a rear wheel (4), said rear triangle comprising at least one stay greater than (10) is articulated about an axis c to an upper connecting rod (11) which is articulated to the front triangle (1) along an axis d and the other hand, connected to a shock absorber (12), as well as at least one stay lower (13) is articulated about an axis b, at a lower connecting rod (14) which is articulated at the front triangle (1) along an axis a, said bicycle comprising, in addition, a crank-gear housing (p) associated with a third link rod (15) which is articulated at the front triangle (1) according to the axis a, the axes b, c and d being situated substantially in the same plane, when the bike is in the position of static equilibrium called the sag, the displacement of the rear triangle (3) with respect to the front triangle (1) when the damping inducing a misalignment of the connecting rods (11, 14), the axis a being positioned so that a force of the cyclist to the crank-gear housing (p) induces a torque which tends to pivot said connecting rods in the direction of their realignment.
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