Ok, that link you posted, its a W splice. I dont think you have material enough for a splice that wide. Int this splice i am going to show you you will see its a diamond cut out inserted into the middle of the two broken limbs. If done properly, you will never see the actual splice.
The white paper is the diamond. Make two of these. Glue one onto the piece you are going to insert into the splice, and another onto the broken bow where the splice will be inserted.
Once both are cut, insert the new center piece into the two bow limbs.
This bow is a bow I did this splice on. The lower limb broke first, I spliced it, then the upper broke, pictured here. My finger is pointing at the only seam you can see. And it is where the tow pieces of wood touched before the break. I lost ZERO bow length on this splice.
I havent fixed the upper limb yet, but this is the bow with the back lam on it. I made it very proud for artistic reasons. It didnt need to be.
You will need to expand the length of your fades out a bit. About an inch per fade. That will reduce the leverage force against your splice. Build up your riser on the handle belly in the normal way. A back lam will also help, but again, if the belly is done right, you may not need it. Better to have it though.