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dc.contributor Naranjo del Val, Juan Carlos
dc.creator Rojas González, Andrés
dc.date 2017-05-02T09:26:09Z
dc.date 2017-05-02T09:26:09Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:24:17Z
dc.date.available 2024-12-16T10:24:17Z
dc.identifier http://hdl.handle.net/2445/110307
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17405
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Juan Carlos Naranjo del Val
dc.description Given two non-degenerate conics $C$ and $D$ in the complex projective plane $\mathbb{P}^{2}_{\mathbb{C}}$ , consider the following problem: constructing a closed polygon inscribed in $C$ and circumscribed about $D$. Assuming that the polygon may have self-intersections, a first approach to build such a polygon could be the next one. Take an arbitrary point $p_0 \in C$ and choose $l_0$ one of the two tangent lines to $D$ passing through $p_0$. If the line $l_0$ is not tangent to $C$ there exists a point $p_1 \in {C} \cap l_0 $ different from $p_0$. Then, take $l_1 \neq l_0$ the tangent line to $D$ through $p_1$. In a similar way, $l_1$ must intersect $C$ at a point $p_2 \neq p_1$.
dc.format 67 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Andrés Rojas González, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Corbes algebraiques
dc.subject Superfícies de Riemann
dc.subject Automorfismes
dc.subject Corbes el·líptiques
dc.subject Teoria de torsió (Àlgebra)
dc.subject Treballs de fi de grau
dc.subject Algebraic curves
dc.subject Riemann surfaces
dc.subject Automorphisms
dc.subject Elliptic curves
dc.subject Torsion theory (Algebra)
dc.subject Bachelor's theses
dc.title Poncelet's porism
dc.type info:eu-repo/semantics/bachelorThesis


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