Relevant bibliographies by topics / Pappus' theorem

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Academic literature on the topic 'Pappus' theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Pappus' theorem"

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Coghetto, Roland. "Pascal’s Theorem in Real Projective Plane." Formalized Mathematics 25, no. 2 (July 1, 2017): 107–19. http://dx.doi.org/10.1515/forma-2017-0011.

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Summary In this article we check, with the Mizar system [2], Pascal’s theorem in the real projective plane (in projective geometry Pascal’s theorem is also known as the Hexagrammum Mysticum Theorem)1. Pappus’ theorem is a special case of a degenerate conic of two lines. For proving Pascal’s theorem, we use the techniques developed in the section “Projective Proofs of Pappus’ Theorem” in the chapter “Pappus’ Theorem: Nine proofs and three variations” [11]. We also follow some ideas from Harrison’s work. With HOL Light, he has the proof of Pascal’s theorem2. For a lemma, we use PROVER93 and OTT2MIZ by Josef Urban4 [12, 6, 7]. We note, that we don’t use Skolem/Herbrand functions (see “Skolemization” in [1]).
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Fritsch, Rudolf. "Remarks on orthocenters, Pappus’ theorem and Butterfly theorems." Journal of Geometry 107, no. 2 (December 11, 2015): 305–16. http://dx.doi.org/10.1007/s00022-015-0304-0.

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Adams, Cole, Stephen Lovett, and Matthew McMillan. "Generalizations of Pappus’ centroid theorem via Stokes’ theorem." Involve, a Journal of Mathematics 8, no. 5 (September 28, 2015): 771–85. http://dx.doi.org/10.2140/involve.2015.8.771.

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Hawrylycz, M. "A geometric identity for Pappus' theorem." Proceedings of the National Academy of Sciences 91, no. 8 (April 12, 1994): 2909. http://dx.doi.org/10.1073/pnas.91.8.2909.

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Barbot, Thierry, Gye-Seon Lee, and Viviane Pardini Valério. "Pappus Theorem, Schwartz Representations and Anosov Representations." Annales de l'Institut Fourier 68, no. 6 (2018): 2697–741. http://dx.doi.org/10.5802/aif.3221.

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Hooper, W. Patrick. "From Pappus’ Theorem to the Twisted Cubic." Geometriae Dedicata 110, no. 1 (February 2005): 103–34. http://dx.doi.org/10.1007/s10711-004-0543-y.

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Thas, C. "An Easy Proof for Some Classical Theorems in Plane Geometry." Canadian Mathematical Bulletin 35, no. 4 (December 1, 1992): 560–68. http://dx.doi.org/10.4153/cmb-1992-073-8.

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AbstractThe main result of this paper is a theorem about three conies in the complex or the real complexified projective plane. Is this theorem new? We have never seen it anywhere before. But since the golden age of projective geometry so much has been published about conies that it is unlikely that no one noticed this result. On the other hand, why does it not appear in the literature? Anyway, it seems interesting to "repeat" this property, because several theorems in connection with straight lines and (or) conies in projective, affine or euclidean planes are in fact special cases of this theorem. We give a few classical examples: the theorems of Pappus-Pascal, Desargues, Pascal (or its converse), the Brocard points, the point of Miquel. Finally, we have never seen in the literature a proof of these theorems using the same short method see the proof of the main theorem).
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Jaroma, John H. "89.79 Proof without words: Pappus’ generalisation of Pythagoras’ theorem." Mathematical Gazette 89, no. 516 (November 2005): 493. http://dx.doi.org/10.1017/s0025557200178520.

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Braun, Gabriel, and Julien Narboux. "A Synthetic Proof of Pappus’ Theorem in Tarski’s Geometry." Journal of Automated Reasoning 58, no. 2 (April 29, 2016): 209–30. http://dx.doi.org/10.1007/s10817-016-9374-4.

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Marchisotto, Elena Anne. "The Theorem of Pappus: A Bridge between Algebra and Geometry." American Mathematical Monthly 109, no. 6 (June 2002): 497. http://dx.doi.org/10.2307/2695440.

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Dissertations / Theses on the topic "Pappus' theorem"

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Rautenberg, Robson Raulino. "Os teoremas de pappus para os sólidos de revolução." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/471.

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A partir dos teoremas encontrados na publicação Geometriae Pars Universalis de 1668 são apresentadas, pela primeira vez em português, as demonstrações dos teoremas de Pappus para os sólidos de revolução. Essa publicação, escrita originalmente em latim, foi feita pelo matemático escocês James Gregory (1638-1675) e é anterior ao desenvolvimento do Cálculo. Além disso, alguns conceitos de Cálculo e de centro de gravidade são revistos a fim de também apresentarumademonstraçãodessesteoremasapartirdessasferramentas. Ainda são feitas algumas aplicações dos teoremas de Pappus para os casos diretos, onde o eixo de rotação ou revolução é representado por um dos eixos coordenados ou ainda, por uma reta paralela a eles. Também são mostrados casos onde o eixo de rotação é dado por uma reta inclinada no plano cartesiano, deixando claro a abrangência, eficiência e a relativa simplicidade de aplicação desses teoremas.
From the theorems found in the publication Geometriae Pars Universalisof 1668 are presented, for the first time in portuguese, the proof of Pappus’s theorems for solids of revolution. This publication , originally written in latin, is due to the scottish mathematician James Gregory (1638-1675) and is prior to the development of Calculus. Furthermore some concepts of Calculus and center of gravity are also revised to present a proof of these theorems from these tools. Some direct cases for Pappus’s theorems are presented, where the axis of rotation or revolution is represented by one of the coordinate axes or by a straight line parallel to them. Also shown are cases where the axis of rotation is given by a straight tilted in the cartesian plane, showing the scope, efficiency and relative simplicity of applying these theorems.
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Roberts, Joanne Kathryn. "Three papers in applied microeconomic theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ31951.pdf.

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Oulton, David. "Selected papers on colorimetric theory and colour modeling." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/selected-papers-on-colorimetric-theory-and-colour-modeling(e4f13600-5d8e-45a8-afce-846647130dfb).html.

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The annotated papers that are submitted as part of this thesis consider the phenomenon of colour at the fundamental, technical, and application levels, and they were written and published by Oulton between 1990 and 2009. The papers disclose significant insights by the author into colorimetric modeling theory and report aspects of the author's work that have led to commercially successful practical applications. The academic significance of these papers is evident in their citation record; their practical value is shown by a number of successful industrial collaboration programmes, and through the award of national prizes for innovation by the Worshipful Company of Dyers, and the Society of Dyers and Colorists. The published research primarily concerns digital devices that either capture or reproduce coloured images. For example, the research problem of how to calibrate the colour on computer CRT screens, which was thought at the time to be intractable, was reported by Oulton in paper 1 to be solved at the two to three significant figure level of colorimetric accuracy. This world leading level of accuracy was subsequently confirmed using a comprehensive data set in paper 7, and has been exploited internationally in commercial computer aided design and colour communication systems by Textile Computer Systems Ltd and Datacolor Inc. Further research problems resolved by Oulton in the presented papers include how to predict the colorimetric sensitivity of dye recipes; how to design, test, and fine-tune the spectral response of digital cameras; and how the individual customers in a shop can be tracked automatically to reveal their buying behavior, using coloured CCTV images.The challenge to the standard CIE colorimetric model posed by the results of Dr W.A. Thornton was analyzed and satisfactorily explained by Oulton in papers 2, 3 and 4. It is also shown that Thornton's results do not in any way compromise either the practice of colorimetry based on the CIE Standard Observer, or the validity of its quantifying data sets. It is also additionally shown under the annotation of paper 4 presented here, that the success of the CIE colorimetric model has a clearly demonstrable theoretical basis.In all but one of the presented papers the convention is maintained that the standard CIE XYZ co-ordinate model should be used as the reference basis, when modeling the properties of colour and quantifying its uses. The final paper to be published (and presented here as paper 4) challenges this convention and demonstrates that a context free and formally defined alternative reference basis may be used in colorimetric modeling with significant advantage. It is also shown in paper 4 that under the specified axioms, any cross dependency that is potentially non linear can in principle be resolved into its component scalar and additive relationships, and that the causes of scalar non linearity may be characterized independently from the causes of linearly additive cross dependency. The result is a widely applicable analytical and experimental design method for resolving complex cross dependent relationships in general and in particular, for resolving those between the spectral visual stimuli and the psychophysical response to them.
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Baigent, N. "Papers in social choice and welfare economics." Thesis, University of Essex, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371893.

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Faria, Joao Ricardo. "Analytical papers on money, inflation and growth." Thesis, University of Kent, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.245722.

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Liu, Yanyan. "Papers on agricultural insurance and farm productivity." Diss., Connect to online resource - MSU authorized users, 2006.

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Thesis (Ph. D.)--Michigan State University. Dept. of Agricultural Economics, Dept. of Economics, 2006.
Title from PDF t.p. (viewed on June 19, 2009) Includes bibliographical references (p. 65-68). Also issued in print.
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Charlton, Andrew. "Three papers in the theory and empirics of foreign direct investment." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432078.

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Mills, Robert. "Rhetoric and Rupture: A Theory of the Event." Digital Archive @ GSU, 2011. http://digitalarchive.gsu.edu/communication_theses/77.

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Rhetoric and Rupture: A Theory of the Event This thesis engages the problematic of agency and interiority in rhetorical studies by proposing a theory of evental rhetoric. The event is a rupture in the continuities of the symbolic, revealing the distance between the forces of symbolization and their phantasmagorical effects. This theory is built upon the works of Friedrich Nietzsche and Jacques Lacan, engaging questions of truth, being, and the relationship of the subject to herself and the world. The rhetorics of legal practice, particularly the per curiam opinions of the United States Supreme Court, I argue, provide the institutional and epistemological formations necessary to transcend the bonds of situated rhetoric and become truly evental. I turn to the Supreme Court decision in New York Times Co. v. United States as an example of such an evental rhetoric. These rhetorics clear the way for the introduction of the new, and found a conversation in which democracy can begin.
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Kielpinski, David. "Entanglement and decoherence in a trapped-ion quantum register." [Boulder, Colo. : University of Colorado], 2001. http://www.boulder.nist.gov/timefreq/ion/qucomp/papers/dkthesis/dkthesis.pdf.

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Archer, Gilbert Simon Henry. "Papers in accounting theory, international accouning and financial reporting & corporate governance of Islamic banks." Thesis, University of Surrey, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.273276.

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Books on the topic "Pappus' theorem"

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Tauno, Metsänkylä, and Ribenboim Paulo, eds. Collected papers of Kustaa Inkeri. Kingston, Ont: Queens's University, 1992.

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Morishima, Taro. Collected papers of Taro Morishima. Edited by Karamatsu Y. Kingston, Ont., Canada: Queens University, 1990.

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1961-, Coquand Thierry, ed. Types for proofs and programs: International workshop, TYPES '99, Lokeberg, Sweden, June 12-16, 1999 : selected papers. Berlin: Springer, 2000.

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Collected papers. Cambridge, Mass: MIT Press, 2000.

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Inkeri, Kustaa. Collected papers of Kustaa Inkeri. Edited by Metsänkylä Tauno and Ribenboim Paulo. Kingston, Ont: Queen's University, 1992.

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V, Gamkrelidze R., ed. Selected research papers. New York: Gordon and Breach Science Publishers, 1986.

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George, Green. Mathematical papers. Mineola, N.Y: Dover Publications, 2005.

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Zhang, Chengqi. Multi-agent systems: Theories, languages, and applications ; selected papers. Berlin: Springer, 1998.

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1927-, Satake Ichirō, ed. Kenkichi Iwasawa collected papers. Tokyo: Springer, 2001.

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Iwasawa, Kenkichi. Kenkichi Iwasawa collected papers. Tokyo: Springer, 2001.

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Book chapters on the topic "Pappus' theorem"

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Coxeter, H. S. M. "The Fundamental Theorem and Pappus’s Theorem." In Projective Geometry, 33–40. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-6385-2_4.

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Feller, William, and S. Orey. "A Renewal Theorem." In Selected Papers II, 613–18. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16856-2_31.

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Bottema, O., and Reinie Erne. "The Theorems of Desargues, Pappus, and Pascal." In Topics in Elementary Geometry, 1–7. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-78131-0_20.

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Kostant, Bertram. "A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory." In Collected Papers, 64–91. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/b94535_8.

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Lang, Serge. "On a Theorem of Mahler." In Collected Papers, 284–85. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-2118-0_23.

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Gelfand, Izrail Moiseevich. "On a theorem of Poincaré." In Collected Papers, 605–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_31.

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Whitney, Hassler. "A Theorem on Graphs." In Hassler Whitney Collected Papers, 24–36. Boston, MA: Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-2972-8_2.

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Lang, Serge, and John Tate. "On Chevalley’s Proof of Luroth’s Theorem." In Collected Papers, 23–26. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-2118-0_3.

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Chern, Shiing-shen, and Jon G. Wolfson. "A Simple Proof of Frobenius Theorem." In Selected Papers, 37–39. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3548-4_3.

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Chern, Shiing-shen, and Yi-Fone Sun. "The Imbedding Theorem for Fibre Bundles." In Selected Papers, 214–31. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3546-0_21.

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Conference papers on the topic "Pappus' theorem"

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"Call for Papers." In Communication Technologies: from Theory to Applications. IEEE, 2006. http://dx.doi.org/10.1109/ictta.2006.1684710.

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"Invited papers." In 2015 International Conference on Antenna Theory and Techniques (ICATT). IEEE, 2015. http://dx.doi.org/10.1109/icatt.2015.7136771.

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"Invited papers." In 2005 5th International Conference on Antenna Theory and Techniques. IEEE, 2005. http://dx.doi.org/10.1109/icatt.2005.1496872.

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"Full papers." In 2008 3rd International Conference on Bio-Inspired Computing: Theories and Applications. IEEE, 2008. http://dx.doi.org/10.1109/bicta.2008.4656697.

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"Short papers." In 2008 3rd International Conference on Bio-Inspired Computing: Theories and Applications. IEEE, 2008. http://dx.doi.org/10.1109/bicta.2008.4656715.

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"Papers by title." In 2014 IEEE International Symposium on Information Theory (ISIT). IEEE, 2014. http://dx.doi.org/10.1109/isit.2014.6874780.

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"Papers by title." In 2018 IEEE International Symposium on Information Theory (ISIT). IEEE, 2018. http://dx.doi.org/10.1109/isit.2018.8437598.

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"Call for papers." In 2015 Iran Workshop on Communication and Information Theory (IWCIT). IEEE, 2015. http://dx.doi.org/10.1109/iwcit.2015.7140223.

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"Plenary sessions papers." In 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory. IEEE, 2008. http://dx.doi.org/10.1109/mmet.2008.4580889.

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"Call for papers." In Proceedings. 2004 International Conference on Information and Communication Technologies: From Theory to Applications. IEEE, 2004. http://dx.doi.org/10.1109/ictta.2004.1307568.

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Reports on the topic "Pappus' theorem"

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Leahy, Andrew. James Gregory and the Pappus-Guldin Theorem. Washington, DC: The MAA Mathematical Sciences Digital Library, January 2009. http://dx.doi.org/10.4169/loci003262.

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Niang, Aladji Babacar, Gane Samb Lo, and Moumouni Diallo. Asymptotic laws of summands I: square integrable independent random variables. Arxiv, August 2021. http://dx.doi.org/10.16929/hs/imhotep.2021.x.002.

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This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review exposition but specially as a complete exposition expect a few exterior resources. For graduate students and for researchers (beginners or advanced), any paper of the series should be considered as a basis for constructing new results. The contents are taken from advanced books but the organization and the proofs use more recent tools, are given in more details and do not systematically follow previous one. Sometimes, theorems are completed and innovated
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