Purpose. The aim of this work is to study quasilinear space models. Methodology. Questions of space modeling, including the construction of graphical models of planar space are actual both in theoretical terms and in terms of their application investigated on basis of nonlinear surfaces to construct forms of technical details and units of construction machinery, middle surfaces of shells, turbulent surfaces of the blades etc. Findings. The article solves the following problems: 1. what requirements must satisfy projecting curves as well as what type of curves can be used to create a quasi-linear model of the space; 2. spatial transformation generated by kvazimodelyu convert twoJoint-substituted spaces and filed constructive ways to implement this transformation on the diagram Monge were investigated. Practical value. The considered conversion of space can be used for the construction of technical forms, surfaces of complex parts and designs for the construction of tunnels and bridges.
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