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Arbitrary points on
Hippias' trisectrix itself however cannot be constructed by circle and compass alone but only a dense subset. In particular it is not possible to construct the exact point where the trisectrix meets the edge of the square. For this reason Dinostratus' approach is not considered a
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if the trisectrix can be used in addition to straightedge and compass. The theorem is named after the Greek mathematician
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The theorem states that
Hippias' trisectrix divides one of the sides of its associated square in a ratio of
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Mathematikdidaktik aus
Begeisterung für die Mathematik — Festschrift für Harald Scheid
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who proved it around 350 BC when he attempted to square the circle himself.
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Klassische
Probleme der Antike – Beispiele zur „Historischen Verankerung“
159:. Clarendon Press 1921 (Nachdruck Elibron Classics 2006), S. 225–230 (
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143:"real" solution of the classical problem of squaring the circle.
182:. Stuttgart/Düsseldorf/Leipzig: Klett 2000, S. 97–118 (German).
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A History of Greek
Mathematics. Volume 1. From Thales to Euclid
178:. In: Blankenagel, JĂĽrgen & Spiegel, Wolfgang (Hrsg.):
83:{\displaystyle {\frac {|AE|}{|AB|}}={\frac {2}{\pi }}}
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201:Euclidean plane geometry
98:describes a property of
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132:{\displaystyle 2:\pi }
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96:Dinostratus' theorem
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153:Thomas Little Heath
104:squaring the circle
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167:Google Books
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162:online copy
108:Dinostratus
190:Categories
147:References
127:π
76:π
196:Pi
192::
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121:2
73:2
68:=
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57:B
54:A
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39:E
36:A
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