Open AccessPlanar Curves out of Their Curvatures in R2
Author(s) -
Talat Alkhouli
Publication year - 2016
Publication title -
european scientific journal
Language(s) - English
Resource type - Journals
eISSN - 1857-7881
pISSN - 1857-7431
DOI - 10.19044/esj.2016.v12n36p132
Subject(s) - differential geometry of curves , curvature , differential (mechanical device) , acceleration , differential geometry , planar , parametric statistics , parametric equation , geometry , work (physics) , mathematics , mathematical analysis , computer science , differential equation , physics , engineering , computer graphics (images) , classical mechanics , mechanical engineering , ordinary differential equation , statistics , differential algebraic equation , thermodynamics
This research aims to introduce some of the main ideas of differential geometry. The research deals with the main concepts needed to understand this work. In this research properties of curves in 2 R are studied. The research is built on using the curvature of a curve in 2 R to derive a parametric formula for the velocity and acceleration. Also the geometry of focal points has been discussed. Examples are built to support the aim of this research.