en تخصصي Special پژوهشي Research paper In this paper, we classify surface at a constant distance from the edge of regression on translation surfaces of Type 1 in the three dimensional simply isotropic space I^1_3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces. Simply isotropic space, Translation surfaces, Surface at a constant distance from the edge of regression on a surface. 123 135 http://ijmsi.ir/browse.php?a_code=A-10-3244-1&slc_lang=en&sid=1 M. Karacan murat.karacan@usak.edu.tr 10031947532846008772 10031947532846008772 No Usak University A. Çakmak acakmak@beu.edu.tr 10031947532846008773 10031947532846008773 Yes Bitlis Eren University S. Kızıltuğ skiziltug@erzincan.edu.tr 10031947532846008774 10031947532846008774 No Erzincan University H. Es hasanes@gazi.edu.tr 10031947532846008775 10031947532846008775 No Gazi Universiy