Abstract: The author presents a method of angle coding for arbitrary geometrical configuration in [1], and proves the sufficient and necessary conditions for straight line angle coding and gives the algorithm of recognition in [2]. In this paper, the description and analytical computation using angle coding for geometrical properties and numerical characteristics of configuration curves are studied in detail. The perimeter, the direction width of geometrical configuration curves, the area, moments and distance and their analytical computation formulations, the proof of the sufficient and necessary conditions for curvilineal seal, the method of detection for angle nods and the method of converting two dimensional wave configuration into one dimensional wave using angle coding, etc. are presented. Therefore, we have obtained a set of theoretical results of angle coding which parallel with the theories of Freeman's direction coding [3-6]. These results have pravtical value for computer vision and shape analysis.