The trilogy of [to mean] / [to purpose] / [i.e.]

Hello,[to mean] = to have in mind as a purpose; [means] = a method or way of doing1. [to purpose]The first play: I had visting America as a purpose.The second play: I wanted to visit by means of / through / by plane. The plane is a supporter to support my purpose as a means.The third play: When I landed at New York the beginning aim to see my family or for the business purpose was fulfilled.2. [to mean]The first play: I has warning as a purpose.The second play: When I did warn the beginning aim directed towards you was fuldilled. 3. [i.e.] = by which it is meant; The cinema is only open to adults. The first play: The [adult] means what.The second play: What is carried out by / through / by means of [people over 18].The third play: What is meant by [people over 18]