A system for computer-aided design (CAD) for the construction of a C1 compressor profile (CAD_C1) in the integrated Mathcad package is developed. Results of the design of a symmetric initial C1 profile and a curved C1-based profile CAD-C1 are presented. CAD-C1 is constructed according to a modular principle, i.e., it constitutes a complex of information-bound computational software modules. The principal advantage of such a structure of the system is that each module is solved as an individual complete problem and, independently of the other modules, may be altered in the course of development and improvement of the system. Independent connection (complementation) of other modules and systems is also possible. Designs of two variants of curved profiles with identical (practically maximal) turning angle of the flow is implemented in corresponding software modules, using a method of growing thickness of the profile along the normal to the center line of the profile and a method based on nonlinear Hearst transformations. The geometric characteristics of the different design variants are calculated, statistical estimation of the correlation indices of the approximation results is performed, graphical construction of the variant profiles is realized, and the geometric parameters of the profiles are varied along the length of the profile chord. CAD_System C1 may be considered as an autonomous system and as a subsystem. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.