What are analytical lines and expressive lines in art and how do they differ?

Analytical lines are a type of line that is mathematically precise and rationally organized. It is epitomized by the vertical and horizontal grip as opposed to the expressive line. The expressive line is a kind of line that seems to spring directly from the artist's emotions or feeling- loose, gestural, and energetic-- epitomized by curvilinear forms; as opposed to classical or analytic line. I learnt this in my Art 100 class, so I