15 citations · 38 across the 29 of their papers we have counts for
30 papers
A characterization of the Legendre involution on the class of generic frontals
Takashi Nishimura
We show that, under an additional mild assumption, on the class of generic frontals, any involution whose fixed point set is exactly the same as the fixed point set of the Legendre…
Envelopes of straight line families in the plane
Takashi Nishimura
There is a widespread method to represent the envelope when a given hyperplane family creates an envelope. However, one sometimes encounters cases when the widespread method fails…
Envelopes created by circle families in the plane
Yongqiao Wang, Takashi Nishimura
In this paper, on envelopes created by circle families in the plane, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem…
Hyperplane families creating envelopes
Takashi Nishimura
A simple geometric mechanism: "the locus of intersections of perpendicular bisectors and normal lines", often arises in many guises in Nonlinear Sciences. In this paper, a new appl…
Spherical Separation Theorem
Huhe Han, Takashi Nishimura
In this paper, it is shown that for any two non-empty closed (resp., open) and spherical convex subsets of , the intersection $\mathcal{W}_1\cap…
Anti-orthotomics of frontals and their applications
Stanisław Janeczko, Takashi Nishimura
Let be a frontal with its Gauss mapping and let be a point such that for any .…