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In this paper, firstly we obtained differential equation of the union curves in W 2. Then, we showed that obtained equation is equivalent to a pair of differential equations of the second order. We denoted it by (η 1 , η 2) and we named η 1 and η 2 as the components of the union curvature vector field. We defined union curves in W 2 relative a congruence by means of the union curvature vector field. Finally, we expressed union curvature of a curve in W 2 in terms of the components of the union curvature vector field.

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In this paper, we have defined union, hyperasymptotic and hypernormal curves in Weyl space. Mathematics Subject Classification: 53B25

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