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Abstract Message focused on studying the engineering studies and analysis of the theory of generalized Ctwaouat parallel in the Euclidean space where the researcher tried to disseminate the work of what has been the subject and the message includes four sections: - 1 - zero-section has been developed Jima definitions and concepts used within this message 2 - Ctwaouat strong parallel in the space n-dimensional Euclidean 3 - the relationship between the parallel and Ctwaouat Ctwaouat strong and polyhedra parallel folds country 4 - change (mutation) of the total vertical twisting curves in surfaces. |