Geometry and Number Theory on Clovers
نویسندگان
چکیده
منابع مشابه
Geometry and Number Theory on Clovers
1. INTRODUCTION. In 1826 Abel discovered that the lemniscate, the curve (x 2 + y 2) 2 = x 2 − y 2 pictured in Figure 1, can be divided into n arcs of equal length by straightedge and compass if and only if n is a power of 2 times a product of distinct Fermat primes [1, p. 314]. By an earlier theorem of Gauss, these are exactly the values of n for which a regular n-gon is constructible by straig...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2005
ISSN: 0002-9890
DOI: 10.2307/30037571