What are the names in English for Alterando, Invertendo, Componendo and Dividendo?

Solution 1:

I think those rules are called by their latin names, if one ever would give it names! Something like 'Corollaries of cross multiplication' could help.

Solution 2:

Alterando is "Alternendo". And, componendo et dividendo is "componendo and dividendo". Rest are all the same in English as in Latin.