| 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 |
|