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Two methods of angle trisection using algebraic curves of degree six, Ceva trisectrix and quadrifolium, which to the best of the author’s knowledge have not yet been published, are presented in the paper. These results are based on the findings of the Czech mathematician and grammar school teacher J. R. Vaňaus in the field of the use of an oblique strophoid to trisect an angle, which dates back to the end of 19th century.

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Ceva’s Trisectrix from a Different Perspective; Two New Methods of an Angle Trisection

  • 会议论文

  • 发表日期：

    2025年

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  • Roman Hašek

摘要

Two methods of angle trisection using algebraic curves of degree six, Ceva trisectrix and quadrifolium, which to the best of the author’s knowledge have not yet been published, are presented in the paper. These results are based on the findings of the Czech mathematician and grammar school teacher J. R. Vaňaus in the field of the use of an oblique strophoid to trisect an angle, which dates back to the end of 19th century.