Involutes of fronts in the Euclidean plane

By Tomonori Fukunaga, Masatomo Takahashi. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/9dcf79339a768df9d31354afb2777bfb38b197c5

Citations in the corpus

• Evolutes and involutes of fronts in the Euclidean plane (Pursuit of the Essence of Singularity Theory) (2013, unknown): “…is pictured as follows: . . . $arrow \int_{t_{0}}^{t}(\int_{t_{0}}^{t}\beta(t)dt)dtarrow\int_{t_{0}}^{t}\beta(t)dtarrow\beta(t)arrow\frac{d}{dt}\beta(t)arrow\frac{d^{2}}{dt^{2}}\beta(t)arrow\cdots$ This is corresponding to the relationship between the differential and integral in classical calculus.”