Designing of surfaces attracted many experts in the field of applied geometry. However, there was paid quite little attention to the formation of the surfaces of side slopes of embankments and excavations, probably due to the belief that there was done possible and there is nothing more to consider. The problem was that the question of the side slopes from put or taken out ground coat was discussed in the all textbooks for the builders while occupying a very small number of pages and the tasks in these textbooks were on the one hand simple, on the other – completed. Unfortunately, these tasks’ solutions have one and the same defect: the lack of a systematic approach to the study of the slopes’ formation, and therefore this unfortunate mistake at the corners of building areas, which could not (and unfortunately) can´t see the developers of modern textbooks for builders and architects. This work is characterized by the presence of the system approach, which eliminates any mistakes in training and in operation of excavation. In this work the author gives the information on the building of slopes with filled soil for ground work. All the necessary for correct image in the drawing examples are given. As follows from the analysis the image of slopes of embankments in projections with numerical marks is identical to the image of excavations, only with a different sign of a numeric mark. Special attention was paid to the construction of embankments’ slopes and excavations on the corners of buildings, because all the modern textbooks contain annoying mistakes.