What were the names of the projects that Babbage designed later?

The projects designed by Charles Babbage that have gained historical significance are the Difference Engine and the Analytical Engine. The Difference Engine was intended to compute polynomial functions and was one of the first mechanical calculators, while the Analytical Engine is considered to be the first concept of a general-purpose computer. It introduced critical elements of modern computing, such as the ability to perform any calculation using a set of instructions and a memory to store variables.

The other options provided do not accurately represent the names of Babbage's well-documented projects. While terms like "Arithmetic Machine" or "Mechanical Calculator" might seem plausible, they do not match the historical context of Babbage's work. The Difference Engine and Analytical Engine stand out as cornerstone designs that significantly contributed to the evolution of computing technology.