THE LOGARITHMIC SPIRAL AND ITS SPHERICAL COUNTERPART

THE LOGARITHMIC SPIRAL AND ITS SPHERICAL COUNTERPART

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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 2020-08-01
Series:Journal of Industrial Design and Engineering Graphics
Subjects:
logarithmic spiral
involute spur gears
two-parametric motion
spherical loxodrome
involute bevel gears
hyperbolic screws
Online Access:http://www.sorging.ro/jideg/index.php/jideg/article/view/27

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http://www.sorging.ro/jideg/index.php/jideg/article/view/27

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