The anti-orthotomic of a frontal is constructed explicitly and shown to be unique with a related Gauss map and equal distances to the reference point and original frontal.
Takahashi, Envelopes of Legendre curves in the unit tangent bundle over the Euclidean plane , Results Math., 71 (2017), 1473–1489
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Anti-orthotomics of frontals and their applications
The anti-orthotomic of a frontal is constructed explicitly and shown to be unique with a related Gauss map and equal distances to the reference point and original frontal.