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Geometric Constructions with The Compass Alone
Thesis

Geometric Constructions with The Compass Alone

Jyh-Yui Hsiao
Masters, 國立清華大學, 數學系
2000

Abstract

Compass 圓規
The traditional Euclidean geometric constructions are carried out with compass and a ruler. The topic of the thesis is focused on the constructions with compass alone. These constructions contain curves construction, Fermat point, Tooth-wheel coupling between epicycloids and hypocycloid, ellipse sliding in deltoid and the deltoid circumscribing an ellipse. These constructions are obtained through experiments under the dynamic geometry environment provided by the software Cabri Geometry.

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