Darboux invariants for planar polynomial differential systems having an invariant conic

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Pareto Frontier for the time-energy cost vector to an Earth-Moon transfer orbit using the patched-conic approximation

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Osculation for conic fibrations.

Smooth projective surfaces fibered in conics over a smooth curve are investigated with respect to their k-th osculatory behavior. Due to the bound for the dimension of their osculating spaces they do not differ at all from a general surface for k = 2, while their structure plays a significant role for k >= 3. The dimension of the osculating space at any point is studied taking into account the possible existence of curves of low degree transverse to the fibers, and several examples are discussed to illustrate concretely the various situations arising in this analysis. As an application, a complete description of the osculatory behavior of Castelnuovo surfaces is given. The case k = 3 for del Pezzo surfaces is also discussed, completing the analysis done for k = 2 in a previous paper by the authors (2001). Moreover, for conic fibrations X subset of P-N whose k-th inflectional locus has the expected codimension, a precise description of this locus is provided in terms of Chern classes. In particular, for N = 8, it turns out that either X is hypo-osculating for k = 3, or its third inflectional locus is 1-dimensional

Software T-Conic

Al descomprimir el archivo *.zip se tendrán dos archivos. Un manual (*.pdf), con las instrucciones de instalación y uso del programa, y un ejecutable (*.exe)

Basic mathematics in electrical communications. A treatise on conic section curves, exponentials, alternating current, electrical oscillations, transients and hyperbolic functions.

Mode of access: Internet.

An analytical system of conic sections : designed for the use of students in the university /

Mode of access: Internet.

Elements of mathematics : containing geometry, conic sections, trigonometry ... : to which is prefixed the first principles of algebra, by way of introduction for the use of the Royal Academy of Artillery at Woolwich : vol. I and II /

Mode of access: Internet.

An elementary treatise on conic sections and algebraic geometry : with numerous examples and hints for their solution, especially designed for the use of beginners /

Mode of access: Internet.

Elements of conic sections. /

Mode of access: Internet.

Elements of analytical geometry: embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order.

Mode of access: Internet.

Elements of analytical geometry; embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order,

Mode of access: Internet.

A treatise on plane co-ordinate geometry : as applied to the straight line and the conic sections : with numerous examples /

Mode of access: Internet.

Solutions of examples in conic sections : triated geometrically /

Mode of access: Internet.

Reservoir area-capacity table by conic method : Hydrologic Engineering Center computer program 23-J2-L233.

At head of cover title: Generalized computer program.