Problems of Locus Solved by Mechanisms Theory

Iulian Popescu, Emeritus Professor, Ph.D. in Engineering, is a full member of the Academy of Technical Sciences of Romania. He was teaching the course on Mechanisms and Machines Theory at the Faculty of Mechanics of the University of Craiova, Romania, for about 35 years. He supervised 25 Ph.D. students and published 31 books on Mechanisms in Romanian language. He has co-authored the book Mechanisms for Generating Mathematical Curves, published by Springer in 2020.Mădălina Xenia Călbureanu Popescu is Professor Habil. Eng. at the Faculty of Mechanics of the University of Craiova. Her research area covers the vast and multi-disciplinary field of dynamics, with applications in mechanical and civil engineering. She has been investigating cinematic elements and vibrations, as well as dynamic responses of structures subjected to seismic action. A further area of interest is concerned with heat and mass transfer, including applications in the field of energy efficiency. With more than 100 publications in both journal and conference papers, and book chapters, she is also a senior member of International Engineering and Technology Institute. Alina Duţă, Ph.D., has been serving as Associate Professor at the Faculty of Mechanics of the University of Craiova. She received a Doctor in Technical Sciences from “Politehnica” University of Bucharest in 1998. She has authored 3 books about descriptive geometry and graphics in Romanian language and more than 100 articles published in journals and proceedings of national and international symposiums.  Her research work is mainly concerned with topics in geometry, such as the geometry of curves, and modelling and simulation of technological processes. She is a member of “International Society for Geometry and Graphics” (ISGG).

• Introduction.- Loci Generated By The Point Of A Line Which Moves One End On A Circle And The Other On A Line.- Loci Generated By The Point Of Intersection Of Two Lines.- Loci Generated By The Points On A Line Which Move On Two Concurrent Lines.- Loci Generated By The Points On A Bar Which Slides With The Heads On On Two Fixed Lines.- Loci Generated By Two Segment Lines Bound Between Them.- Problem Of A Locus With Four Intercut Lines.- ”KAPPA” and "KIEROID" Curves Resulted as Loci.- The “Butterfly” Locus Type.- Nephroida and Rhodonea as Loci.- Successions Of Aesthetic Rhodonea.- Loci In The Triangle.- Loci Of Points Belonging To A Quadrilateral.- The Locus For The Cross-Point Of The Diagonals In A Pentagon.- Correlation Between Track Generation And Synthesis Of Mechanisms.