Follow the instructions for peeling the fruit and removing all the pith. Then hold the fruit in one hand over a bowl so the juices that are produced as you cut can run into the bowl.
Cut in towards the middle of the fruit alongside one of the membranes that keeps the fruit segments separated. (Do not cut the membrane.) Cut on the other side of the segment in the same way, then ease it out, leaving the membrane in place.
Continue working around the fruit in the same way, cutting out segments from between the membranes, until all the fruit segments have been removed. As you cut each piece of fruit free, arrange it decoratively on a plate.
Finally, squeeze all the juice from the membranes over the fruit, then discard the membranes. As with the pith, the membranes are not sweet. They also have a chewy texture.