1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2026
Envelopes created by curve families in the Lorentz-Minkowski plane
Masatomo Takahashi, Yongqiao Wang
Classical definitions of envelopes are vague for singular curves in the Lorentz-Minkowski plane. To study envelopes of such curves, we introduce a family of smooth curves that may…
math.DG2025
Envelopes created by sphere families in Euclidean 3-space
Takashi Nishimura, Masatomo Takahashi, Yongqiao Wang
In this paper, on envelopes created by sphere families in Euclidean 3-space, all four basic problems (existence problem, representation problem, problem on the number of envelopes,…
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.