id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-2382	Masal, Melek; Azak, Ayse Zeynep	Frenet Apparatus of the Curves and Some Special Curves in the Euclidean 5-Space $E^5$	2015	16	.pdf	application/pdf	5764	289	84	(34) From the equations (28) and (30), we get Ẏ 2 Ÿ − Ẏ , Ÿ � Ẏ = −(c − s)3k4 1V1 + (c − s)3k3 1k2V3 (35) and Ẏ 2 Ÿ − Ẏ , Ÿ � Ẏ = (c − s)3k3 1 q k2 1 + k2 2. (36) If we use the equations (11) and (14), then we will obtain the second Frenet vector and the first curvature of curve Y as follows; V Y 2 = − k1 q k2 1 + k2 2 V1 + k2 q k2 1 + k2 2 V3 (37) and kY 1 = q k2 1 + k2 2 (c − s)k1 (38) respectively. (50) On the other hand, for the base � V1, V2, V3, V4, V5 and mi(s) ∈ R C − X (s) = m1(s)V1(s) +m2(s)V2(s) +m3(s)V3(s) +m4(s)V4(s)	cache/ejpam-2382.pdf	txt/ejpam-2382.txt