Split the skin vertically into 4 quarters of similar size.
3
Pull off the quarters of skin. With them you can make delicious candied peel.
4
If necessary, trim any remaining white pith from top and bottom.
5
Put the fruit in front of you, remove the white pith by cutting in vertical strips all round the fruit.
6
Complete the operation by trimming off any remaining bits of pith. It's easier if you turn fruit upside down at this stage.
7
You should get a "clean" fruit. It is now "pelé à vif", but you need to separate the segments of flesh.
8
For the first segment, choose a large one and cut from the outside towards the centre, following the left-hand membrane (transparent skin).
9
Then do the same thing with the right-hand membrane.
10
And so separate the first segment.
11
For all the other segments, start again with the left-hand membrane, and cut from outside to centre.
12
Now comes the critical moment, when the blade of your knife reaches the centre: turn it gently half a turn (exacty as if you were turning a key to lock a door), and continue cutting, this time back from the centre towards the outside.
13
You will notice that there is only a little to cut, because the turn pratically detaches the segment.
14
Then remove the segment... You might need to finish by removing a few pips or pieces of membrane.
15
Do this for all segments.
16
Have a look at this short video, to see how to peel a grapefruit...
17
...and in this one, a kiwi.
Remarks
This operation is rather long, but what a result! If you make a fruit salad like this you will be surprised (so will your guests) by the sweetness of your dessert (no hint of bitterness from the pith). I suggest that you work over a strainer on a bowl, or use a chopping board with a small reservoir to keep the fruit juice that runs out. Similarly, squeeze all unused parts of the fruit before discarding them.