One method for performing procedures, such as vaginal hysterectomies, comprises engaging first and second energy transmitting elements against a lateral side of a uterus. The first and second energy transmitting elements are positioned against opposed surfaces of a tissue mass extending from and including a fallopian tube or round ligament to a tip of a cervix. Third and fourth energy transmitting elements are positioned against another lateral side of the uterus and against opposed surfaces of another tissue mass extending from and including another fallopian tube or round ligament to the tip of the cervix. Radio frequency or other high energy power is applied through the energy transmitting elements to the tissue masses. The power is applied for a time and in an amount sufficient to coagulate and seal the tissue masses within the energy transmitting elements. The coagulated tissue masses are then resected and the entire uterus removed.