most citedGeneralized distance-squared mappings of the plane into the plane

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math.DG2023★ 1 cited

On envelopes of circle families in the plane

Yongqiao Wang, Takashi Nishimura

In this paper we investigate the relationships between envelopes of circle families and some special curves in the plane, such as evolutes, pedals, evolutoids and pedaloids.

math.DG2014★ 1 cited

Generalized distance-squared mappings of the plane into the plane

S. Ichiki, T. Nishimura, R. Oset Sinha +1

We define generalized distance-squared mappings, and we concentrate on the plane to plane case. We classify generalized distance-squared mappings of the plane into the plane in a r…