Regarding the use of the word "machine":
Originally the word "machine" was used to refer to any object that performed a function which would otherwise need to be done by hand.
In this case, think about things like the printing press, looms, tapestry weavers... etc
Although nowadays we think of electronics when we hear the word "machines", I assume that Prince Christopher referred to Elle's phone as a "machine" specifically defined as explained above; particularly because of it's intended usage... communication over long distances.