%0 Journal Article %T Some Characterizations of Special Curves in the Euclidean Space $\mathrm{E}^4$ %A Melih Turgut %A Ahmad T Ali %J Mathematics %D 2009 %I arXiv %X In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of a helix are presented. Moreover, in the same space, some new characterizations of involute of a helix are presented. %U http://arxiv.org/abs/0907.5268v1