While watching the lecture about the Techimüller space, I have tried to study some basic concepts whose lecturer refers. But I don't know the meaning of 'quasi-geodesic' or quasi-isometry which is related to the Hyperbolic space. In Eculicedan Space, I can say roughly someone the meaning of geodesic and isometry: Geodesic is the shortest path on the surface and isometry preserves the length from the surface to another surface.
But, I want to find out the literal meaning 'quasi-geodesic/isometry...'. According to the dictionary, 'quasi' means 'seemingly',' apparently but not really'.From googling or the lecture on the part, the path of quasi-geodesic is more bizarrely serpentine than the straight line (on the hyperbolic plane) but I cannot find the clue why such path is called 'quasi-geodesic. And In the case of 'quasi-isometric', similarly, I also want to vindicate why the name of it.