Results 11 to 20 of about 3,355 (248)

Inflection Triplets of Points, Conics With Triple Points, and Conics With Quadruple Points in Cubic Structure

Journal of Mathematics
In this paper, we introduce the concept of inflection triplets of points within a cubic structure, explore their fundamental properties, and investigate the relationships between inflection triplets and other key elements of the cubic structure.
Vladimir Volenec, Ružica Kolar-Šuper, Zdenka Kolar-Begović   +2 more
doaj   +2 more sources

Conics in Kummer quartics [PDF]

, 2021
We classify the configurations of lines and conics in smooth Kummer quartics, assuming that all $16$ Kummer divisors map to conics. We show that the number of conics on such a quartic is at most $800$
Degtyarev, Alex
core   +2 more sources

Conics on Barth--Bauer octics [PDF]

, 2023
We analyze the configurations of conics and lines on a special class of Kummer octic surfaces. In particular, we bound the number of conics by $176$ and show that there is a unique surface with $176$ conics, all irreducible: it admits a faithful action ...
Degtyarev, A., Degtyarev, Alex
core   +1 more source

Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve

Electronic Journal of Qualitative Theory of Differential Equations, 2020
As for the general planar differential systems one of the main problems for the piecewise linear differential systems is to determine the existence and the maximum number of crossing limits cycles that these systems can exhibit.
Jeidy Jimenez, Jaume Llibre, Joao Medrado   +2 more
doaj   +1 more source

On the Implicit Equation of Conics and Quadrics Offsets

Mathematics, 2021
A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with ...
Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti, Laureano Gonzalez-Vega   +3 more
doaj   +1 more source

Bisectors of conics in isotropic plane [PDF]

, 2023
In this paper we introduce the concept of a bisector of two curves in an isotropic plane. We study the bisectors of conics and classify them according to their type of circularity.
Ema Jurkin, Jurkin, Ema
core   +1 more source

Real circles tangent to 3 conics [PDF]

, 2023
In this paper we study circles tangent to conics. We show there are generically 184 complex circles tangent to three conics in the plane and we characterize the real discriminant of the corresponding polynomial system.
Ong, Wern Juin Gabriel, Breiding, Paul, Lindberg, Julia, Sommer, Linus   +3 more
core   +1 more source

The Parabola: Section of a Cone or Locus of Points of a Plane? Tips for Teaching of Geometry from Some Writings by Mydorge and Wallis

Mathematics, 2022
This article proposes a possible path devoted to upper secondary school and early university students, as well as training teachers, with the aim to build a conscious approach to the learning/teaching of the conics, which uses, for an educational purpose,
Emilia Florio
doaj   +1 more source

Claude Mydorge Reader and Interpreter of Apollonius’ Conics

Mathematics, 2021
In 1639, the treatise Prodromi catoptricorum et dioptricorum sive Conicorum operis ad abdita radii reflexi et refracti mysteria praevij et facem praeferentis. Libri quatuor priores by Claude Mydorge was printed in Paris.
Emilia Florio
doaj   +1 more source

Differential geometry of complex projective plane conics [PDF]

, 2023
In this paper we study properties of complex plane projective curves from a geometric point of view. We focus our attention on properties of conics. We find that Gauss curvature determines a conic up to a hermitian transformation preserving the Fubini ...
Morón-Sanz, R., Artal Bartolo, E.
core   +1 more source