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Nonlinear model of a straight line

Piegat A.

Metody Informatyki Stosowanej

2011

nr 5

221-232

A straight line seems to be the symbol of linearity. Scientific books on the analytical geometry present only linear mathematical models of a straight line in space. This paper shows that linear models of a straight line dominate only in the 1D- and 2D-space. Instead, in the 3D-and higher spaces also non-linear models can be applied. They define a line with only one equation, whereas linear models consist of a number of separate equations. Non-linear models of a straight line can be used in many applications, e.g. in constructing non-regular fuzzy models [1].