Relevant bibliographies by topics / Circumcenter

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Circumcenter'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Circumcenter"

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Rubillo, James M. "Illustrating the Euler Line." Mathematics Teacher 80, no. 5 (1987): 389–93. http://dx.doi.org/10.5951/mt.80.5.0389.

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In 1765 the Swiss mathematician Leon-hard Euler proved that the centroid of a triangle trisects the line segment joining its circumcenter to its orthocenter. Thus the circumcenter, the centroid, and the ortho-center are collinear and form the Euler line of the triangle. The definition of each of these points is presented in table 1.
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Walker, Peter, and Tom Zerger. "The Centroid-Circumcenter Distance: 10948." American Mathematical Monthly 111, no. 1 (2004): 65. http://dx.doi.org/10.2307/4145028.

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Jiang, Xiao Wei, Yu Hu, Yue Ting Yang, and Tian Luan. "Look the Partial Equilibrium with the Global Optimum from the Problem of the Shortest Circuit for Three Villages." Advanced Materials Research 989-994 (July 2014): 2377–80. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.2377.

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We explore the relationship between the partial equilibrium and the global optimum from the problem of the shortest circuit for three villages (PSCTV). Using the related properties of Fermat point and the circumcenter of the triangle, we can come to the conclusion that the partial equilibrium sometimes brings into correspondence with the global optimum but there is a great deal of difference between the two by analysing the difference between the sum of distances from Fermat point to all vertices and the ones from circumcenter to all vertices.
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Khatimah, Husnul, Mashadi Mashadi, and Sri Gemawati. "PENGEMBANGAN TEOREMA DAO PADA ENAM CIRCUMCENTER." Euclid 5, no. 1 (2018): 21. http://dx.doi.org/10.33603/e.v5i1.514.

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Tabachnikov, Serge, and Emmanuel Tsukerman. "Remarks on the Circumcenter of Mass." Arnold Mathematical Journal 1, no. 2 (2015): 101–12. http://dx.doi.org/10.1007/s40598-015-0009-3.

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Colindres, Carlos A. Mejía. "Thunder and Lightning: Understanding Equidistance." Mathematics Teacher 108, no. 6 (2015): 454–60. http://dx.doi.org/10.5951/mathteacher.108.6.0454.

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Akopyan, Arseniy V. "Some Remarks on the Circumcenter of Mass." Discrete & Computational Geometry 51, no. 4 (2014): 837–41. http://dx.doi.org/10.1007/s00454-014-9596-3.

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Tabachnikov, Serge, and Emmanuel Tsukerman. "Circumcenter of Mass and Generalized Euler Line." Discrete & Computational Geometry 51, no. 4 (2014): 815–36. http://dx.doi.org/10.1007/s00454-014-9597-2.

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Coghetto, Roland. "Circumcenter, Circumcircle and Centroid of a Triangle." Formalized Mathematics 24, no. 1 (2016): 17–26. http://dx.doi.org/10.1515/forma-2016-0002.

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Summary We introduce, using the Mizar system [1], some basic concepts of Euclidean geometry: the half length and the midpoint of a segment, the perpendicular bisector of a segment, the medians (the cevians that join the vertices of a triangle to the midpoints of the opposite sides) of a triangle. We prove the existence and uniqueness of the circumcenter of a triangle (the intersection of the three perpendicular bisectors of the sides of the triangle). The extended law of sines and the formula of the radius of the Morley’s trisector triangle are formalized [3]. Using the generalized Ceva’s Theo
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Martínez, Sonia. "Practical multiagent rendezvous through modified circumcenter algorithms." Automatica 45, no. 9 (2009): 2010–17. http://dx.doi.org/10.1016/j.automatica.2009.05.013.

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Dissertations / Theses on the topic "Circumcenter"

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JÃnior, Antonio Sinval Bezerra. "Pontos notÃveis de um triÃngulo : uma abordagem geomÃtrica e analÃtica." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=11765.

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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 Euclidia
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Kitaoka, Alessandra de Carvalho. "O uso de tecnologias como ferramenta de apoio às aulas de geometria." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/5942.

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Made available in DSpace on 2016-06-02T20:29:23Z (GMT). No. of bitstreams: 1 5405.pdf: 3455845 bytes, checksum: 749a1a7ca8b7d3b9399b8de99a655175 (MD5) Previous issue date: 2013-08-16<br>Financiadora de Estudos e Projetos<br>This project's main goal is propose the application of a Teaching Sequence about how finding the notable points of a triangle, in particular, the circumcenter. Introducing in the sequence geometric objects primaries of Euclidean geometry with the axioms and the theorems necessary to construct the circumcenter. The geometric objects will be built through educational softwa
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Felício, Adriano César. "A determinação dos pontos notáveis de um triângulo utilizando o software GeoGebra." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/5938.

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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<br>Financiadora de Estudos e Projetos<br>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
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Tein-Jen, Chiang. "A Circumcenter of Triangle Location Estimation in UWB." 2004. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0009-0112200611320786.

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Chiang, Tein-Jen, and 江天仁. "A Circumcenter of Triangle Location Estimation in UWB." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/77733405431542300468.

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碩士<br>元智大學<br>資訊工程學系<br>93<br>We propose a novel location estimation algorithm based on the circumstance center of a triangle and time of arrival method. The estimated result is superior to the other existing method. In fact, on average the circumcenter of triangle (COT) approach can improve the accuracy about 26% when it is compared with other methods. Additionally, we also propose a weighting method, on various positioning methods. The accuracy of the weighted Line of Position (LOP) approach can be improved by 22%, of the Weighted TDOA approach by 24%, and of the Weighted COT approach can be
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Weng, Min-Chieh, and 翁敏傑. "Effects of Context Integration on Circumcenter, Incenter and Centroid of a Triangle." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/74583801262928534986.

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碩士<br>國立交通大學<br>理學院科技與數位學習學程<br>104<br>Abstract This study was mainly employed by digital tools. In order to explore the learners’ learning achievements and the differences of their cognitive load, we adopted a teaching research about the unit “Circumcenter, Incenter and Centroid of Triangle” in Grade 1-9 Curriculum of mathematics. This was a quasi-experiment study by using Microsoft PowerPoint assisted with AMA (Activate Mind and Attention). The experimental group, based on the Cognitive Load Theory and adopted context integration model to teach .The control group, based on the narrative cont
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Fu, Yi-Lun, and 傅一倫. "A Circumcenter-based Algorithm for Irregular Sensing Range Wireless Sensor Network Deployment." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/89533743414208881065.

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碩士<br>國立成功大學<br>電腦與通信工程研究所<br>95<br>As the growing of Wireless Sensor Network, various kinds of relative topics have been broadly discussed. Among these topics, since “coverage” directly influent the performance of the network, it catches a lot of concentration. The proposed methods assume that the sensor has a fixed sensing ability in all directions, but experiments show that sensors may have various sensing ability in various directions. In other words, the coverage area of a sensor node will not be a circular disk. Under this situation, there will be a lot of holes so that the coverage rate
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Huang, Chien-Chin, and 黃建欽. "The Effects of Using Trigger-based Animation on Learning the Circumcenter of A Triangle." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/55413034111305625005.

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Hong, Yun Quan, and 洪筠荃. "Development of tetrahedron circumcenter element and its applications to 3-D semiconductor device simulation." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/as6uhv.

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碩士<br>國立中央大學<br>電機工程學系<br>105<br>In this thesis, in order to obtain an accurate simulation in the production process, we developed the 3-D tetrahedron circumcenter element to correct the error caused by the edge effect. So as to achieve the accuracy of mesh, we tested and verified the result by using the current density, special resistors and p-n diode. We also compared the estimated value with theoretical value to obtain the correct result from verification. We hope that we can develop the tetrahedral after this experiment. Unfortunately, the exposed right angle tetrahedron of circumcenter
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CHUANG, SHU-YA, and 莊舒雅. "The Study Of Students’ Learning Satisfaction Of Geogebra Software Applied on Circumcenter, Incenter and Centroid of a Triangle." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/03900404748676953930.

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碩士<br>吳鳳科技大學<br>應用數位媒體研究所<br>105<br>This study mainly discusses the influence of Geogebra software on the satisfaction of mathematics learning and the difference of learning background variables. Take the " Circumcenter, Incenter and Centroid of a Triangle " of the ninth grade geometric proof unit as an example. This study employed 122 of the ninth grade students in Chiayi County as subjects and a total of 116 samples were valid.The Experimental research method was adopted. To collect the research data, application of Geogebra software teaching, and learning satisfaction questionnaire was u
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Book chapters on the topic "Circumcenter"

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Rodríguez, Marc, Sere Abdoulaye, Gaëlle Largeteau-Skapin, and Eric Andres. "Generalized Perpendicular Bisector and Circumcenter." In Computational Modeling of Objects Represented in Images. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12712-0_1.

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Das, Sandip, Ayan Nandy, and Swami Sarvottamananda. "Radius, Diameter, Incenter, Circumcenter, Width and Minimum Enclosing Cylinder for Some Polyhedral Distance Functions." In Algorithms and Discrete Applied Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74180-2_24.

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Md Nasir, Paramartha Dutta, and Avishek Nandi. "Recognition of Change in Facial Expressions From Video Sequence Using Incenter-Circumcenter Pair Gradient Signature." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5400-1_73.

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Nandi, Avishek, Paramartha Dutta, and Md Nasir. "Recognizing Human Emotions from Facial Images by Landmark Triangulation: A Combined Circumcenter-Incenter-Centroid Trio Feature-Based Method." In Algorithms in Machine Learning Paradigms. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1041-0_9.

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Nasir, Md, Paramartha Dutta, and Avishek Nandi. "Recognition of Transforming Behavior of Human Emotions from Face Video Sequence: A Triangulation-Induced Circumradius-Incenter-Circumcenter Combined Approach." In Intelligence Enabled Research. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-9290-4_9.

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"The Circumcentre, O. The Sine Rule." In Trigonometry. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813203129_0007.

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Conference papers on the topic "Circumcenter"

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Martinez, Sonia. "Practical rendezvous through modified circumcenter algorithms." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434171.

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Verma, M., and K. K. Shukla. "Fuzzy constrained shortest path algorithm using circumcenter of centroids." In 2013 3rd IEEE International Advanced Computing Conference (IACC 2013). IEEE, 2013. http://dx.doi.org/10.1109/iadcc.2013.6514304.

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Abdullah, Lazim, and Fateen Najwa Azman. "Circumcenter of centroid in ranking fuzzy number: A case of generalized trapezoidal fuzzy numbers." In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2015. http://dx.doi.org/10.1109/fuzz-ieee.2015.7337941.

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Fazenda, A. L., and J. S. Travelho. "Bidimensional modeling for incompressible viscous flow using the Circumcenter Based Approach in an unstructured grid." In AFM 2010. WIT Press, 2010. http://dx.doi.org/10.2495/afm100101.

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