Ved Vyasa is a title which is given to new Vyasa in every Chaturyuga, in this Chaturyuga it is Given to the great Krishna Dwaipayana son of Bramharishi Parashara.
The word Vyasa is a related to Geometry, Vyasa is also a Sanskrit word for Diameter of a Circle.
What is the meaning of Vyasa when used as 'Veda Vyasa', is it Geometrical or something else?
My Interpretation with the Meaning 'Diameter of Circle':
If we compare the analogy we get the literal meaning as follows
vedavyasa = Veda + Vyasa Veda has two meanings Knowledge/ The 4 Vedas Vyasa is Diameter
If we consider circle to be Veda (Circle of Knowledge or Vedas) then according to the definition of Diameter
A line segment connecting two extreme points of the Circle(Knowledge) is known as Diameter of circle.
So if we compare the analogy we can derive following meaning
Veda Vyasa means the entitled person for a Chaturyuga who has All the knowledge(of the vedas) from its two Extremes
Note: The possible reason for Analogy of circle to the Vedas/Knowledge is because Circle is a complete figure and Vedas are complete set knowledge.
Vedas don't have a starting point(apaurusheya)from this we can conclude that they don't have ending, similarly circle has no starting point which means no end point.