Nesse trabalho, comeÃaremos com um pouco da histÃria dos centros notÃveis do triÃngulo, com foco nos quatro pontos notÃveis: Baricentro, Incentro, Ortocentro e circuncentro, alÃm da Reta de Euler. Em seguida abordaremos alguns resultados clÃssicos associados ao triÃngulo e as coordenadas de pontos no plano cartesiano que serÃo Ãteis para auxiliar nas demonstraÃÃes dos capÃtulos que seguem. Nestes capÃtulos sÃo apresentados os pontos notÃveis do triÃngulo e algumas de suas caracterÃsticas, bem como o Ponto de Speiker e a de Reta de Euler de dois aspectos: do ponto de vista da Geometria Euclidiana e do ponto de vista da Geometria AnalÃtica. / In this work, we start with a little history of notable centers of the triangle, focusing on the four notable points: Centroid, Incentro, orthocenter and circumcenter, besides Straight Euler.Then discuss some classical results associated with the triangle and the coordinates of points on the Cartesian plane that will be useful to assist in the statements of the chapters that follow.These chapters are presented the outstanding points of the triangle and some of its characteristics as well as the Point Speiker and Reta Euler two aspects: the point of view of Euclidean geometry and the point of view of analytic geometry.

Made available in DSpace on 2016-06-02T20:29:22Z (GMT). No. of bitstreams: 1 5363.pdf: 6155796 bytes, checksum: 5fcc940d5e974f06e05cfe033a89fcd9 (MD5) Previous issue date: 2013-08-19 / Financiadora de Estudos e Projetos / In this paper, I intend to report the experience of implementing an activity in some classes in a public school of the city of Ribeirão Preto, state of São Paulo, where it was made an approach to the subject "Notable Points of a Triangle" by using the software GeoGebra like as a tool for teaching and learning. The aim is to analyze students' reactions and the interaction of the same at the presentation of the content using this software. Also a comparison of the progress is made with regard to student learning through the production and execution of activities, consisting of scripts/walkthroughs. The methodology used is the didactic engineering. Working in pairs, due to the limited amount of computers in the computer lab of the school, improved academic relations between some students, arising naturally an exchange of ideas and awakening a spirit of collaboration in a very healthy learning space. At the end of the study the author concluded that activities using computing resources as an educational tool optimizes the process of teaching and learning. / Neste trabalho, pretendo relatar a experiência de aplicação de uma atividade em algumas aulas, em uma escola municipal da prefeitura de Ribeirão Preto, estado de São Paulo, onde foi feita a abordagem do assunto Pontos Notáveis de um Triângulo utilizando o software GeoGebra como ferramenta de ensino e aprendizagem. O objetivo é analisar as reações dos alunos e a interação dos mesmos, por ocasião da apresentação do conteúdo utilizando este software. Também é feita uma comparação dos avanços obtidos no tocante à aprendizagem dos alunos através das produções e da execução de atividades, constituídas de roteiros/instruções passo a passo. A metodologia utilizada é a engenharia didática. O trabalho em duplas, por conta da quantidade limitada de computadores existentes no laboratório de informática da escola, estreitou as relações acadêmicas entre alguns alunos, fazendo surgir naturalmente uma troca de ideias e despertando um espírito de colaboração muito saudáveis num espaço de aprendizagem. Ao final da pesquisa o autor concluiu que atividades utilizando recursos computacionais como ferramenta educativa otimizam o processo de ensino e aprendizagem.

Die Entwicklung mechanischer Antriebskonzepte für nichtlineare Bewegungsaufgaben stellt bis heute ein komplexes und domänenübergreifendes Fachgebiet des Maschinenbaus dar. Auf dem Gebiet der ebenen Koppelgetriebe gibt es dabei seit vielen Jahren Versuche, die optimale Lösung für eine Aufgabe unter Berücksichtigung kinetischer Kenngrößen zu finden. Die vorliegende Arbeit stellt eine Methodik vor, die sowohl den klassischen Verfahren der Getriebetechnik als auch den Ansätzen der Mechanik zum Ausgleich der Massenwirkungen im Getriebe gerecht wird. Der entwickelte Ansatz des modulbasierten Analyse-Synthese-Parameter-Abgleiches (ASPA) erlaubt erstmals eine domänenübergreifende Simulation komplexer Antriebskonzepte auf Basis einer neuartigen modularen Synthesebibliothek. Diese lässt sich dank umfangreicher Dokumentation und der dargestellten Programmablaufpläne in beliebige Software implementieren. Die exemplarisch im Systemsimulator SimulationX implementierte Bibliothek ermöglicht somit unter anderem die Anwendung der klassischen Drei- und Vierlagensynthese im bewegten oder ruhenden Bezugssystem für Dreh- und Schubgelenkketten. Neben der Ausgabe gerundeter Getriebeabmessungen eröffnet der beschriebene Ansatz somit die Berücksichtigung kinetischer Kenngrößen wie den Pendelschwingungen in spielbehafteten Gelenken oder der Änderung der Trägheitskenngrößen während der Synthese. Weiterführend kann eine multikriterielle Optimierung der noch freien Syntheseparameter erfolgen. / Developing nonlinear transmitting planar coupler linkages represents a domain spanning area in mechanical engineering. In recent years many efforts have been made to determine the optimal planar linkage regarding kinetic characteristics. This thesis introduces a method linking classical synthesis procedures with mechanical approaches for a dynamically balanced mechanism. For the first time, the module based analysis-synthesis-parameter-adjustment (ASPA) allows for a domain spanning simulation of complex drive assemblies based on a novel modular synthesis library. Due to an extensive documentation and detailed program flow charts it is possible to implement the library in arbitrary software environments. The exemplarily implemented library in SimulationX allows to apply the classical three- and four-position synthesis within a steady or moving reference frame of revolute or prismatic joint chains. Further, the modules return rounded link dimensions. By applying this library according to ASPA it is now possible to account for kinetic boundaries such as pendulum oscillations of joints with joint clearance or the change of mass properties during the position synthesis. Thus, a multi-criteria optimization of the remaining free synthesis parameters can be applied.