4 papers
Exploration of offsets of Cayley ovals and their singularities
Thierry Dana-Picard, Daniel Tsirkin
We explore offsets of Cayley ovals, by networking with different kinds of software. Using their specific abilities, algebraic, geometric, dynamic, we conjecture interesting propert…
Envelopes of Circles Centered on a Kiss Curve
Thierry Dana-Picard, Daniel Tsirkin
Envelopes of parameterized families of plane curves is an important topic, both for the mathematics involved and for its applications. Nowadays, it is generally studied in a techno…
Pedal curves of conics: an automated exploration of some cubics, sextics, octics and more
Thierry Dana-Picard
Constructions and exploration of plane algebraic curves has received a new push with the development of automated methods, whose algorithms are continuously improved and implemente…
Dynamic constructions of hyperbolisms of plane curves: an automated exploration of geometric loci
Thierry Dana-Picard
Hyperbolism of a given curve with respect to a point and a line is an interesting construct, a special kind of geometric locus, not frequent in the literature. While networking bet…