Mechnical Links
Go to   Fun_Math Content Table   Trisecting an Angle   Mechanical Linkages

Trisection using mechanical links

Sylvester's Link_Fan

In 1875, Sylvester announced his linkage trisector under the title "A Lady's Fan".

7 points A through G are all on the circle with radius OA.

The distance between hinges are set such that

AH = HB = CJ = JD = EL = LF and

BI = IC = DK = KE = FM = MG

In this example model, the following dimensions are chosen.

Radius OA = 8.0 ;AH = 4.0 ; BI = 2.0

You can see the process in animation.
****** link_fan_desc.dwg ******

After this mechanism was announced , this idea was used in an optical apparatus to keep moving prisms equally inclined to each other.This device was called Isoklinostat.

The name Isoklinostat came from Greek isos (= equal) and klino(=inclined).

To create this drawing and animation:
   Load     link_fan.lsp    (load "link_fan")
  Then from command line, type   link_fan

Animation file creation:  animation_linkfan

References

1. Robert C.Yates:"The Trisection problem",p 42


Go to   Fun_Math Content Table   Trisecting an Angle   Mechanical Linkages

All questions/suggestions should be sent to Takaya Iwamoto

Last Updated Nov 22, 2006

Copyright 2006 Takaya Iwamoto   All rights reserved. .