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2021 | OriginalPaper | Chapter

7. Problem of a Locus with Four Intercut Lines

Authors : Iulian Popescu, Xenia Calbureanu, Alina Duta

Published in: Problems of Locus Solved by Mechanisms Theory

Publisher: Springer International Publishing

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Abstract

A straight line rotates around a fixed point, and at the free end it connects with another straight line that rotates around the same point, and the other end slides on the abscissa. Another line FB rotates around F point, the end—C point sliding to the line DE, requiring the trajectory of point C. Many different curves are obtained, with quite complicated shapes [2], depending on the correlation of the movements of the two leading elements. Another range of curves resulted for the trajectory of the point of intersection of the lines AD with BC, where two slides were introduced that slide on the elements AD and BC and have a torque of rotation between them. In both situations, both directions of rotation of the conductive elements were taken into account: in the same direction or in opposite directions.

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Literature
1.
go back to reference I. Popescu (2016) Locuri geometrice şi imagini estetice generate cu mecanisme. Editura Sitech, Craiova I. Popescu (2016) Locuri geometrice şi imagini estetice generate cu mecanisme. Editura Sitech, Craiova
2.
go back to reference Teodorescu ID, Teodorescu SD (1975) Culegere de probleme de geometrie superioară. Editura Didactică şi Pedagigică, Bucureşti Teodorescu ID, Teodorescu SD (1975) Culegere de probleme de geometrie superioară. Editura Didactică şi Pedagigică, Bucureşti
Metadata
Title
Problem of a Locus with Four Intercut Lines
Authors
Iulian Popescu
Xenia Calbureanu
Alina Duta
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-63079-9_7

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