a/b=c/d then, a+b/a-b = c+d/c-d

but suppose if we apply "componendo dividendo" just to the RHS TWICE, we get the original number... consider the example : 16/4 (which we know is equal to 4 or rather 4/1)

now applying componendo dividendo just once to 16/4 ,

we get 20/12 , then again applying componendo dividendo to

20/12 , we get 32/8 ,which is equal to 4/1 or 4.

but i know this is not even componendo -dividendo theorem,

but when we apply it twice to the RHS v get back the RHS......

this was quite useful when solving a trigonometry problem....but according to the teachers there is no such theory.......so, not very useful.

so, the question is ,what is it that you find wrong with this "theory" i used.(if any,specify)......??