Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1868 - 1873 2018-12-01
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## Curves According to the Successor Frame in Euclidean 3-Space

#### Melek Masal [1]

##### 24 86

In the present study, the successor formulae of the successor curves defined by Menninger [1] are given. Then, by defining the successor planes, the geometric meanings of the successor curvatures are investigated and the relations across the components of the position vectors of successor curves are found. Furthermore, in this study, it is proven that lies in the 3rd.type successor plane,  lies in the 1st type successor plane and by defining the involute-evolute S-pair, the distance between the corresponding points of these curves is found.

Successor frame, Successor curves, Slant helix, Involute-evolute curves
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Birincil Dil en Matematik December 2018 Araştırma Makalesi Orcid: 0000-0001-6712-7629Yazar: Melek Masal (Sorumlu Yazar)Ülke: Turkey
 Bibtex @araştırma makalesi { saufenbilder425519, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1868 - 1873}, doi = {10.16984/saufenbilder.425519}, title = {Curves According to the Successor Frame in Euclidean 3-Space}, key = {cite}, author = {Masal, Melek} } APA Masal, M . (2018). Curves According to the Successor Frame in Euclidean 3-Space. Sakarya University Journal of Science, 22 (6), 1868-1873. DOI: 10.16984/saufenbilder.425519 MLA Masal, M . "Curves According to the Successor Frame in Euclidean 3-Space". Sakarya University Journal of Science 22 (2018): 1868-1873 Chicago Masal, M . "Curves According to the Successor Frame in Euclidean 3-Space". Sakarya University Journal of Science 22 (2018): 1868-1873 RIS TY - JOUR T1 - Curves According to the Successor Frame in Euclidean 3-Space AU - Melek Masal Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.425519 DO - 10.16984/saufenbilder.425519 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1868 EP - 1873 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.425519 UR - http://dx.doi.org/10.16984/saufenbilder.425519 Y2 - 2018 ER - EndNote %0 Sakarya University Journal of Science Curves According to the Successor Frame in Euclidean 3-Space %A Melek Masal %T Curves According to the Successor Frame in Euclidean 3-Space %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.425519 %U 10.16984/saufenbilder.425519 ISNAD Masal, Melek . "Curves According to the Successor Frame in Euclidean 3-Space". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1868-1873. http://dx.doi.org/10.16984/saufenbilder.425519