Spelling suggestions: "subject:"[een] CONICS"" "subject:"[enn] CONICS""
11 |
Classifcation of Conics in the Tropical Projective PlaneEllis, Amanda 18 November 2005 (has links)
This paper defines tropical projective space, TP^n, and the tropical general linear group TPGL(n). After discussing some simple examples of tropical polynomials and their hypersurfaces, a strategy is given for finding all conics in the tropical projective plane. The classification of conics and an analysis of the coefficient space corresponding to such conics is given.
|
12 |
Cônicas / ConicsBarros, Regina Lourenço de 12 December 2017 (has links)
Este trabalho trata das seções cônicas (circunferência, elipse, hipérbole e parábola), curvas planas obtidas pela intersecção de um cone circular reto com um plano. O objetivo do trabalho é representar algebricamente essas figuras geométricas. As referidas curvas serão estudadas num sistema cartesiano ortogonal. Nos primeiros capítulos as cônicas serão estudadas individualmente com relação aos seus elementos e às equações que descrevem cada curva. Serão apresentadas as equações canônicas, as equações paramétricas e as equações em coordenadas polares dentre outras. Destaque especial é dado às retas tangentes a essas curvas. No último capítulo as cônicas serão relacionadas através da equação geral. Serão estudados métodos que permitem a identificação e caracterização dessas curvas a partir da equação geral. / This paper deals with the conic sections (circumference, ellipse, hyperbola and parabola), plane curves obtained by the intersection of a right circular cone with a plane. The objective of this work is to represent these geometric figures algebraically. These curves will be studied in an orthogonal Cartesian system. In the first chapters the conics will be studied individually with respect to their elements and to the equations that describe each curve. The canonical equations, the parametric equations and the equations in polar coordinates, among others, will be presented. Special emphasis is given to the tangent lines to these curves. In the last chapter the conics will be related through the general equation. Methods will be studied that allow the identification and characterization of these curves from the general equation.
|
13 |
Conjugate diameters: Apollonius of Perga and Eutocius of AscalonMcKinney, Colin Bryan Powell 01 July 2010 (has links)
The Conics of Apollonius remains a central work of Greek mathematics to this day. Despite this, much recent scholarship has neglected the Conics in favor of works of Archimedes. While these are no less important in their own right, a full understanding of the Greek mathematical corpus cannot be bereft of systematic studies of the Conics. However, recent scholarship on Archimedes has revealed that the role of secondary commentaries is also important. In this thesis, I provide a translation of Eutocius' commentary on the Conics, demonstrating the interplay between the two works and their authors as what I call conjugate. I also give a treatment on the duplication problem and on compound ratios, topics which are tightly linked to the Conics and the rest of the Greek mathematical corpus. My discussion of the duplication problem also includes two computer programs useful for visualizing Archytas' and Eratosthenes' solutions.
|
14 |
Embeddable spherical circle planes : a thesis submitted in partial fulfilment of the requirements of the degree for Master of Science in Mathematics, University of Canterbury /Lightfoot, Ashley. January 1900 (has links)
Thesis (M. Sc.)--University of Canterbury, 2009. / Typescript (photocopy). "September 2009." Includes bibliographical references (p. 115-116) and index. Also available via the World Wide Web.
|
15 |
Skládání papíru jako pomůcka ve výuce matematiky / Paper folding as a tool in teaching mathematicsSCHINKOVÁ, Nikol January 2018 (has links)
In my thesis I am dealing with the usage of origami at teaching mathematics. In the first chapters I mention a brief history and kinds of creases such as Huzita axioms etc. In the second part I introduce three chapters concerning folding of structures supported by work-sheets at different difficulty levels. The content of these chapters comprises of conic sections and diameters of trapezoids. The last chapters of the thesis are focused on three kinds of folding: Yoshimura, Miura and modular, which are also used in architecture, house design and astronautics.
|
16 |
Uma abordagem do estudo de cônicas e quádricas com o auxílio do software GeoGebra / A approach of the study of conics and quadrics with the help of the software GeoGebraAlves, Luiz Fernando Giolo [UNESP] 31 August 2016 (has links)
Submitted by LUIZ FERNANDO GIOLO ALVES null (luizimgiolo@gmail.com) on 2016-09-29T21:43:31Z
No. of bitstreams: 1
tmp_12169-dissertacao-1032011706.pdf: 3377970 bytes, checksum: 5530be5b26b39526c11f2e04d66a486f (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-10-05T12:38:39Z (GMT) No. of bitstreams: 1
alves_lfg_me_rcla.pdf: 3377970 bytes, checksum: 5530be5b26b39526c11f2e04d66a486f (MD5) / Made available in DSpace on 2016-10-05T12:38:39Z (GMT). No. of bitstreams: 1
alves_lfg_me_rcla.pdf: 3377970 bytes, checksum: 5530be5b26b39526c11f2e04d66a486f (MD5)
Previous issue date: 2016-08-31 / O texto que segue aborda um estudo de cônicas e quádricas com o objetivo de auxiliar professores e estudantes a ter uma visão mais concreta e dinâmica destes elementos com o software de distribuição livre GeoGebra. Num primeiro momento temos como alvo observações sobre cônicas com dicas de como dirigir-se ao assunto usando as ferramentas que o GeoGebra traz para facilitar o entendimento dos significados dos parâmetros e coeficientes dessas equaçõees quadráticas. Em seguida, estudamos algumas particularidades das quádricas, assunto que usualmente não é visto no ensino médio. / The following text is a study of conics and quadrics with a goal to give a concrete and dinamic approach of the subject with the assistance of the free software GeoGebra. At first moment we target some observations about conics, with tips of how to approach the subject with the tools that GeoGebra brings to make easier the understanding of the meanings of the parameters and coefficients of these quadratic equations. And then we study some particularities of the quadric surfaces, a subject that usually is not seen in the high school.
|
17 |
Deformações de cônicas e quádricas por operadores lineares / Deformations of conics and quadrics under linear mappingsTavares, Fabiano Pinto 05 August 2008 (has links)
Orientadores: Sueli Irene Rodrigues Costa, Simão Nicolau Stelmastchuk / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-10T23:29:23Z (GMT). No. of bitstreams: 1
Tavares_FabianoPinto_M.pdf: 877532 bytes, checksum: 0081c7182db3aab71edcbe274822bea5 (MD5)
Previous issue date: 2008 / Resumo: Neste trabalho focalizamos a deformação de cônicas e quádricas por transformações lineares. Deduzimos de forma explícita os autovalores e autovetores ortonormais de matrizes reais 2 x 2 e 3 x 3, para os quais não há quase referências na literatura e nem incorporação nos programas computacionais de cálculo simbólico usuais. Esta determinação levou -nos a estudar um pouco da história da resolução das equações de terceiro grau e das condições e formulações das raízes reais destas. Os resultados foram utilizados na determinação explícita das deformações por transformações lineares de cônicas e quádricas, sendo estas discutidas em termos de características das matrizes associadas / Abstract: We discuss here the deformations of conics and quadrics under linear mappings. We set explicitly the eingenvalues and the orthonormal eigenvectors of real symmetric 2 X 2 and 3 X 3 matrices. These expressions are scarce in the literature and not incorporated in symbolic calculus software. The determination of those eigenvalues leaded us to the study of the solution of third degree equations and some of related historical aspects with focus on conditions and expressions for their real solutions Those results are used in the exact determination of the linear deformation of conics and quadrics in terms of the characteristics of their associated matrices / Mestrado / Geometria Topologia / Mestre em Matemática
|
18 |
Cônicas / ConicsRegina Lourenço de Barros 12 December 2017 (has links)
Este trabalho trata das seções cônicas (circunferência, elipse, hipérbole e parábola), curvas planas obtidas pela intersecção de um cone circular reto com um plano. O objetivo do trabalho é representar algebricamente essas figuras geométricas. As referidas curvas serão estudadas num sistema cartesiano ortogonal. Nos primeiros capítulos as cônicas serão estudadas individualmente com relação aos seus elementos e às equações que descrevem cada curva. Serão apresentadas as equações canônicas, as equações paramétricas e as equações em coordenadas polares dentre outras. Destaque especial é dado às retas tangentes a essas curvas. No último capítulo as cônicas serão relacionadas através da equação geral. Serão estudados métodos que permitem a identificação e caracterização dessas curvas a partir da equação geral. / This paper deals with the conic sections (circumference, ellipse, hyperbola and parabola), plane curves obtained by the intersection of a right circular cone with a plane. The objective of this work is to represent these geometric figures algebraically. These curves will be studied in an orthogonal Cartesian system. In the first chapters the conics will be studied individually with respect to their elements and to the equations that describe each curve. The canonical equations, the parametric equations and the equations in polar coordinates, among others, will be presented. Special emphasis is given to the tangent lines to these curves. In the last chapter the conics will be related through the general equation. Methods will be studied that allow the identification and characterization of these curves from the general equation.
|
19 |
Um estudo das cônicas na perspectiva da geometria projetiva / A study of the conic in the perspective of projective geometryMoraes, José Galhardo Leite de, 1969- 02 February 2012 (has links)
Orientador: Claudina Izepe Rodrigues / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-19T19:28:06Z (GMT). No. of bitstreams: 1
Moraes_JoseGalhardoLeitede_M.pdf: 2235311 bytes, checksum: bd14e5445f2f952cca204379e998c41a (MD5)
Previous issue date: 2012 / Resumo: Esta dissertação tem por objetivo apresentar o estudo das Cônicas e suas propriedades, mediante a perspectiva da Geometria Projetiva, bem como propor o software livre GeoGebra como uma alternativa para visualização dos Teoremas de Geometria Projetiva e das propriedades das Cônicas. O trabalho inicia-se com uma introdução histórica do desenvolvimento da projeção, na arte, e da Geometria Projetiva. Em seguida é apresentada a base teórica para o estudo das Cônicas e suas propriedades, o que é tratado em seguida. Por fim, são apresentadas algumas construções, que podem ser executadas no software livre, de geometria dinâmica, GeoGebra / Abstract: This dissertation has for objective to present the study of the Conical , and its properties, through the perspective of Projective Geometry, moreover to present free software GeoGebra as an alternative for visualization of the Theorems of Projective Geometry and the properties of the Conical. The work starts with a historical introduction about the development of the projection, in the art, and of Projective Geometry. Next is presented the theoretical basis for the study of conic sections and their properties, which is treated soon after. To finish, some constructions are presented, that can be executed in software of dynamic geometry GeoGebra / Mestrado / Matematica / Mestre em Matemática
|
20 |
Strengthening the Precalculus Bridge: Enhancing the Precalculus Student's Understanding of Tangents to Conics, Biquadratic Equations, and Maxima and MinimaDeFord, Dinah Lynn 01 May 2007 (has links)
Many students face tremendous difficulty in high school and/or college level calculus courses. The author hopes that by introducing students to the following nontraditional three topics prior to calculus, students' understanding of calculus will be enhanced. This thesis focuses on the following topics: Tangent Lines to Conics Maxima and Minima Biquadratic Equations
Because these topics are not generally covered in precalculus courses, there are several possible uses for them. An instructor could use the material as: An added classroom resource Project assignments for outside classroom study A student resource for precalculus advanced studies, or An independent study
This thesis assumes that the student is well prepared for the precalculus course by having a good understanding of foundational algebra skills.
|
Page generated in 0.0474 seconds