Abstract
In this chapter we discuss the differential geometry of space curves (a curve embedded in Euclidean three-space e3). In particular, we introduce the Serret-Frenet basis vectors e t ,e n ,e b . This is followed by the derivation of an elegant set of relations describing the rate of change of the tangent e t , principal normal e n , and binormal e b vectors. Several examples of space curves are then discussed. We end the chapter with some applications to the mechanics of particles. Subsequent chapters will also discuss several examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
