ABSTRACT

In this chapter, multiplicative affine transformations, multiplicative affine reflections, multiplicative affine symmetries, multiplicative shears, multiplicative dilatations and multiplicative similarities are defined and some of their properties are deduced. Multiplicative segments, multiplicative angles and multiplicative rectilinear figures are defined. Some criteria for existence of multiplicative affine transformations that leave multiplicative lines and multiplicative points fixed are obtained. A multiplicative barycentric coordinate system is introduced and some of its applications are given. In the chapter, some criteria for congruence of multiplicative angles and triangles are deduced.