Area-invariant pedal-like curves derived from the ellipse
نویسندگان
چکیده
We study six pedal-like curves associated with the ellipse which are area-invariant for pedal points lying on one of two shapes: (i) a circle concentric ellipse, or (ii) boundary itself. Case is corollary properties Steiner’s Curvature Centroid (Krümmungs-Schwerpunkt), proved in 1825. For case we prove area invariance algebraically. Explicit expressions all invariant areas also provided. Finally, generalize results class smooth curves.
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ژورنال
عنوان ژورنال: Beiträge Zur Algebra Und Geometrie / Contributions To Algebra And Geometry
سال: 2021
ISSN: ['2191-0383', '0138-4821']
DOI: https://doi.org/10.1007/s13366-021-00588-x