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http://hdl.handle.net/2445/110307
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DC Field | Value | Language |
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dc.contributor.advisor | Naranjo del Val, Juan Carlos | - |
dc.contributor.author | Rojas González, Andrés | - |
dc.date.accessioned | 2017-05-02T09:26:09Z | - |
dc.date.available | 2017-05-02T09:26:09Z | - |
dc.date.issued | 2016-06 | - |
dc.identifier.uri | http://hdl.handle.net/2445/110307 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Juan Carlos Naranjo del Val | ca |
dc.description.abstract | 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 $p_2 \neq p_1$. | ca |
dc.format.extent | 67 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-nc-nd (c) Andrés Rojas González, 2016 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Corbes algebraiques | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Superfícies de Riemann | ca |
dc.subject.classification | Automorfismes | ca |
dc.subject.classification | Corbes el·líptiques | ca |
dc.subject.classification | Teoria de torsió (Àlgebra) | ca |
dc.subject.other | Algebraic curves | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Riemann surfaces | en |
dc.subject.other | Automorphisms | en |
dc.subject.other | Elliptic curves | en |
dc.subject.other | Torsion theory (Algebra) | en |
dc.title | Poncelet's porism | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 1.4 MB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License