Could This Have Been The World's First Computer?

[Warpy]

6. I remember a mechanical calculator about half the size

of the boss's desk back in the early 60s that would multiply, divide and extract square roots. It was a horribly cumbersome thing, took muscle power to work and sounded like jackhammers on oil drums when you pulled it's handle to get a result.

I'm wondering if Babbage's computer is a similar thing, scaled up and with a steam engine assist.