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Deltoid curve. The red curve is a deltoid. In geometry, a deltoid, also known as a tricuspoid or Steiner curve, is a hypocycloid of three cusps.
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In geometry, a strophoid is a curve generated from a given curve C and points A (the fixed point) and O E. H. Lockwood (1961). "Strophoids". A Book of Curves.

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The area of the sector bounded by an arc of the Archimedean spiral and two radius vectors $\rho_1$ and E.H. Lockwood, "A book of curves" , Cambridge Univ. Press

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E. H. Lockwood (1961). "Chapter 8: The Deltoid". A Book of Curves. Cambridge University Press. J. Dennis Lawrence (1972). A catalog of special plane curves.

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