Doubling the Cube
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Later Mathematicians

1. Nicomedes Revisited

Note: This method works even when length of AB is not equal to k.

This model is for solving the mean proportional equation:
2k / y = y / x = x / k
or x3 = 2 k3 and y3 = 4 k3


******** modified_Nicomedes_desc.dwg *******

There are 2 ways to accomplish this : Using Conchoid curve and marked ruler.

method #1 Conchoid

You can see the process in animation.


******** mod_Nicomedes_1.dwg *******

To create this drawing and animation:
   Load modified_Nicomedes_Delian.lsp    (load "modified_Nicomedes_Delian")
  Then from command line, type test_0

method #2 Marked Ruler

You can see the process in animation.


******** mod_Nicomedes_2.dwg *******

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

To create animation, run make_wmf to output 12 wmf(0 - 11).
Then convert them into animation GIF file format.


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All questions/suggestions should be sent to Takaya Iwamoto

Last Updated Nov 22, 2006

Copyright 2006 Takaya Iwamoto   All rights reserved. .