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Full Description
This book reports on an original approach to problems of loci. It shows how the theory of mechanisms can be used to address the locus problem. It describes the study of different loci, with an emphasis on those of triangle and quadrilateral, but not limited to them. Thanks to a number of original drawings, the book helps to visualize different type of loci, which can be treated as curves, and shows how to create new ones, including some aesthetic ones, by changing some parameters of the equivalent mechanisms. Further, the book includes a theoretical discussion on the synthesis of mechanisms, giving some important insights into the correlation between the generation of trajectories by mechanisms and the synthesis of those mechanisms when the trajectory is given, and presenting approximate solutions to this problem. Based on the authors' many years of research and on their extensive knowledge concerning the theory of mechanisms, and bridging between geometry and mechanics, this book offers a unique guide to mechanical engineers and engineering designers, mathematicians, as well as industrial and graphic designers, and students in the above-mentioned fields alike.
Contents
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.
