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
1. Robert C.Yates:"The Trisection problem",p 42
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Last Updated Nov 22, 2006
Copyright 2006 Takaya Iwamoto All rights reserved.