Question

What is Componendo and Dividendo ??

What is its use ??

Proof of it.

Answer 1

Componendo and dividendo are just a part of the mathematics calculation.

Componendo and dividendo are greek words. According to it,

If a/b = c/d , then (a+b) / (a-b) = (c+d) / (c-d).

Let me give you proof for the above statement.
Add 1 to both sides of the equation

i.e., a/b + 1 = c/d + 1

(a+b) / b = (c+d) / d ….i)

Now, Subtract 1 from both sides of the equation i.e., a/b - 1 = c/d - 1

(a-b) / b = (c-d) / d ….ii)

Dividing eq. i) by ii).

We get,

(a+b) / (a-b) = (c+d) / (c-d)

We use componendo and dividendo just to speed up the calculation part of the mathematics.

hope it will help you