A laparoscopic hysterectomy is a minimally invasive surgical procedure to remove the uterus. A small incision is made in the belly button and a tiny camera is inserted. The surgeon watches the image from this camera on a TV screen and performs the operative procedure. A Salpingectomy is the surgical removal of one (unilateral) or both (bilateral) fallopian tubes. Fallopian tubes allow eggs to travel from the ovaries to the uterus. A partial salpingectomy is when you have only part of a fallopian tube removed.