The Mathematical Description of Motion Ancients lacked a mathematical description of motion. This is a concept of degree. They also have extension or quantity . This depends on how widely distributed the quality is. Shape of the graph shows distribution of the quality through the subject.
Total quantity is the area of the graph.
A body moving as a unit, but nonuniformly. Subject line becomes time, rather than spatial extension. Pictures on p. 299 show various kinds of motion. The 'Merton Rule' or 'mean speed theorem'. See picture on p. 300.