TY - JOUR
TI - A special interpretation of the concept constant breadth for a space curve
AU - Aydin Tuba Ağirman
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 371
EP - 382
PT - Article
AB - The definition of curve of constant breadth in the literature is made by  using tangent vectors, which are parallel and opposite directions, at  opposite points of the curve. In this study, normal vectors of the curve,  which are parallel and opposite directions are placed at the exit point of  the concept of curve of constant breadth. And in this study, on the concept  of curve of constant breadth according to normal vector is worked. At the  conclusion of the study, is obtained a system of linear differential  equations with variable coefficients characterizing space curves of constant  breadth according to normal vector. The coefficients of this system of  equations are functions depend on the curvature and torsion of the curve.  Then is obtained an approximate solution of this system by using the Taylor  matrix collocation method. In summary, in this study, a different  interpretation is made for the concept of space curve of constant breadth,  the first time. Then this interpretation is used to obtain a  characterization. And as a result, this characterization we've obtained is  solved.