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arXiv · 2410.14349

Ruler and compass constructions in the Lemniscate and the 17-gon

Mariángeles Gómez-Molleda·Joan-C. Lario
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Abstract

We present several ruler and compass practical geometric constructions that can be performed in the lemniscate curve. To be precise, we provide recipes for halving, doubling, adding, subtracting, and transferring lemniscate arcs with ruler and compass. This note complements the instructions for the lemnatomic equilateral triangle and pentagon discussed in \cite{GoLa}, giving the details for the construction of the lemnatomic regular $17$-gon.

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Mariángeles Gómez-Molleda, Joan-C. Lario. 2024-10-18. Ruler and compass constructions in the Lemniscate and the 17-gon. https://arxiv.org/abs/2410.14349

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