Paul Yiu, Elegant Geometric Constructions,
Forum Geometricorum, 5 (2005) 75--96.

Abstract: With the availability of computer software on dynamic geometry, beautiful and accurate geometric diagrams can be  drawn, edited, and organized efficiently on computer screens. This new technological capability stimulates the desire to strive for elegance in actual geometric constructions. The present paper advocates a closer examination of the geometric meaning of  the algebraic expressions in the analysis of a construction problem to actually effect a construction as elegantly and efficiently as possible on the computer screen. We present a fantasia of euclidean constructions the analysis of which make use of elementary algebra and very basic knowledge of euclidean geometry, and focus on incorporating simple algebraic expressions into actual constructions using the Geometer's Sketchpad.

[ps file][pdf file] [Geometer's  Sketchpad files]

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