I think we're missing an awful lot of information here. What is Where are your 's?
1. I assume the last term on the LHS is meant to be lower-case.
2. In googling Quade's method (which I've never heard of before), I saw at least one definition of it that has different indices than yours. Here's one such example. I don't know if it's correct or not. There seem to be multiple definitions of the method out there.
I'm out of my league here. CB, what do you think?