ISSN:
1572-9168
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Compasses are called rusty, if one can draw only the unit circle with them. We prove that from two points A and B, with only rusty compasses, one can draw the points of k-section of AB, and all the vertices of a regular n-gon which has a side AB, where k is any integer greater than 1, and n=3, 4, 5, 6, 8, 12, 17, 257, ..., etc. Generally, let A be (0, 0) and let B be (λ, 0), then one can draw all the points (λx, λy) where x and y are any elements in some regular 2 m -extension of the rational field, for m=1, 2, 3, ...
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00181213
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