A discoidal brake for a bicycle comprises a pair of discoids, each of which is mounted on a bicycle member laterally of a wheel rim, one on either side of the wheel. The discoid is pivotally mounted in levered relation on each pivot mount below adjacent and biased away from the wheel rim. A brake shoe is affixed to each discoid to allow camming of the brake shoe into the wheel rim facilitating braking. A control cable is affixed to a control member above the wheel with the control member being connected to the center of a yoke cable. The yoke cable is affixed to each discoid with yoke cable passed partway around the annular component on each discoid.