THE LOGARITHMIC SPIRAL AND ITS SPHERICAL COUNTERPART

Logarithmic spirals are isogonal trajectories of pencils of lines. From a series of geometric consequences, we pick out a few which are relevant for kinematics: When a logarithmic spiral rolls on a line, its asymptotic point traces a straight line. Hence, wheels with the shape of a logarithmic spira...

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Bibliographic Details
Main Authors: Hellmuth STACHEL, Giorgio FIGLIOLINI, Jorge ANGELES
Format: Article
Language:English
Published: SORGING 2019-05-01
Series:Journal of Industrial Design and Engineering Graphics
Subjects:
Online Access:http://sorging.ro/jideg/index.php/jid/article/view/484