Involute-Evolute Curve Couples in the Euclidean 4-Space
Makaleler > Tam Makale · 2009
Yazarlar: Emin Özyılmaz, Süha Yılmaz
International Journal of Open Problems in Computer Science and Mathematics, Uluslararası, 2009, cilt 2, ss 168-174
Özet
In this work, for regular involute-evolute curve couples, it is proven that evolute’s Frenet apparatus can be formed by involute’s apparatus in four dimensional Euclidean space when involute curve has constant Frenet curvatures. By this way, another orthonormal frame of the same space is obtained via the method expressed in [5]. Moreover, it is observed that evolute curve cannot be an inclined curve. In an analogous way, we use method of [6].