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Alterando, Invertando, Componendo, Dividendo and Componendo & Dividendo are Latin words. Below theorems have been listed:

Theorem of Alterrando:

If a/b=c/d then a/c=b/d.

Theorem of Invertando:

If a/b=c/d then b/a=d/c

Theorem of Componendo:

If a/b=c/d then (a+b)/b = (c+d)/d

Theorem of Dividendo:

If a/b=c/d then (a-b)/b = (c-d)/d

Theorem of Componendo and Dividendo:

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

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