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Journal articles on the topic 'Napoleon's theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Wetzel, John E. "Converses of Napoleon's Theorem." American Mathematical Monthly 99, no. 4 (1992): 339. http://dx.doi.org/10.2307/2324901.

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2

Wetzel, John E. "Converses of Napoleon's Theorem." American Mathematical Monthly 99, no. 4 (1992): 339–51. http://dx.doi.org/10.1080/00029890.1992.11995858.

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3

Contreras, José N. "Exploring Nonconvex, Crossed, and Degenerate Polygons." Mathematics Teacher 98, no. 2 (2004): 80–86. http://dx.doi.org/10.5951/mt.98.2.0080.

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How interactive software can be used to extend mathematical conjectures and theorems to non–convex, crossed, and degenerate polygons. The author demonstrates investigating Napoleon's Theorem with Geometer's Sketchpad.

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4

Martini, Horst, and Margarita Spirova. "On Napoleon's theorem in the isotropic plane]{On Napoleon's theorem in the isotropic plane." Periodica Mathematica Hungarica 53, no. 1-2 (2006): 199–208. http://dx.doi.org/10.1007/s10998-006-0032-1.

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5

Barbara, Roy. "82.39 A Corollary of Napoleon's Theorem." Mathematical Gazette 82, no. 494 (1998): 297. http://dx.doi.org/10.2307/3620422.

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6

Kiss, Gy. "Two generalizations of Napoleon's theorem in finite planes." Discrete Mathematics 208-209 (October 1999): 411–20. http://dx.doi.org/10.1016/s0012-365x(99)00086-2.

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7

Augusto da Costa Jacomeli, José, and Fernando Pereira de Souza. "CONHECIMENTOS GEOMÉTRICOS E ALGÉBRICOS DO TETRAEDRO FRACTAL 3D." COLLOQUIUM EXACTARUM 12, no. 3 (2021): 53–60. http://dx.doi.org/10.5747/ce.2020.v12.n3.e329.

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A fractal is a figure that has a unique characteristic that will be present in the entire domain of the figure. There are several different types of fractals, some of which are constructed from a simple figure such as a triangle ofplane geometry or a tetrahedron of spatial geometry. From the initial construction of a two-dimensional fractal starting with an equilateral triangle and using Napoleon's Theorem, in this article, we present a construction of a new three-dimensional fractal using ideas similar to Napoleon's Theorem in a tetrahedron. Using concepts of plane and spatial geometry, this fractal can be built from a regular tetrahedron, and from the midpoints of its edges a new tetrahedron with a 1/2 ratio side is built in relation to the initial tetrahedron. After this construction, the characteristics of the infinite application fractal are studied, such as the sum of the surface areas and the total volume of the formed figure.

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8

de Villiers, Michael D., and Johan H. Meyer. "A generalized dual of Napoleon's theorem and some further extensions." International Journal of Mathematical Education in Science and Technology 26, no. 2 (1995): 233–41. http://dx.doi.org/10.1080/0020739950260208.

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9

Yuliardani, Novita, Mashadi Mashadi, and Sri Gemawati. "Pengembangan Teorema Napoleon pada Segienam." Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang 2, no. 1 (2018): 51. http://dx.doi.org/10.31331/medives.v2i1.527.

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Pada umumnya teorema Napoleon diberlakukan pada segitiga. Dalam tulisan ini dibahas teorema Napoleon pada segienam, yaitu segienam yang memiliki tiga pasang sisi sejajar dan sama panjang dengan kasus segienam beraturan yang dibangun mengarah ke luar. Pembuktian pada teorema Napoleon ini dengan menggunakan konsep kesebangunan dan konsep trigonometri. Kata kunci: Teorema Napoleon, konsep kekongruenan, trigonometri.  ABSTRACT Napoleon’s Theorem generally applies in triangle. This paper applied Napoleon’s Theorem in hexagons that have three pairs of parallel sides in same length and regular hexagons that are built outward. Provided proofs use the congruence and trigonometric concepts. Keywords: Napoleon’s Theorem, congruency concept, trigonometry.

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10

Heitzman, Matthew. "“He Resembled the Great Emperor”." Nineteenth-Century Literature 74, no. 2 (2019): 199–223. http://dx.doi.org/10.1525/ncl.2019.74.2.199.

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Matthew Heitzman, “‘He Resembled the Great Emperor’: Charlotte Brontë, Villette, and the Rise of Napoleon III” (pp. 199–223) This essay offers a local historical context for Charlotte Brontë’s Villette (1853), reading it in relation to the rise of Napoleon III as Emperor of France. Napoleon III completed his ascendancy just as Brontë was completing her novel. His rise prompted a mixture of anxiety and optimism in the English press, as English political commentators were uncertain if this new Napoleon’s reign would mark a return to the Anglo-French nationalist strife of the first Napoleonic period or if his rule would mark a détente and productive path forward for Anglo-French relations. I argue that this ambiguity is coded into Brontë’s characterization of Monsieur Paul Emanuel, and that we can read Monsieur Paul’s romance with Lucy Snowe as a political allegory—Brontë’s attempt to decipher what Napoleon III’s rapid rise meant for Anglo-French relations. I suggest in this essay that Brontë’s interest in the contemporary Anglo-French political context was a product of her fascination with Napoleon Bonaparte, specifically his rivalry with the Duke of Wellington, and that understanding her interest in the first Napoleonic period can help us to decipher why her depiction of Anglo-French nationalist interaction in Villette is totally at odds with her other novels, where French nationalism is typically a trait that needs to be effaced.

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11

Branko Grünbaum. "Is Napoleon’s Theorem Really Napoleon’s Theorem?" American Mathematical Monthly 119, no. 6 (2012): 495. http://dx.doi.org/10.4169/amer.math.monthly.119.06.495.

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12

Berendonk, Stephan. "A Napoleonic Theorem for Trapezoids." American Mathematical Monthly 126, no. 4 (2019): 367–69. http://dx.doi.org/10.1080/00029890.2019.1568808.

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13

Scott, J. A. "90.74 An elementary proof of Napoleon’s theorem." Mathematical Gazette 90, no. 519 (2006): 481–83. http://dx.doi.org/10.1017/s0025557200180404.

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14

J. A. Grzesik. "Yet Another Analytic Proof of Napoleon’s Theorem." American Mathematical Monthly 123, no. 8 (2016): 824. http://dx.doi.org/10.4169/amer.math.monthly.123.8.824.

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15

Čerin, Zvonko. "On Napoleon triangles and propeller theorems." Mathematical Gazette 87, no. 508 (2003): 42–50. http://dx.doi.org/10.1017/s0025557200172092.

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In this paper we shall consider two situations in triangle geometry when equilateral triangles appear and then show that they are closely related.In the first (known as the Napoleon theorem) equilateral triangles BCAT, CABT, and ABCT, are built on the sides of an arbitrary triangle ABC and their centroids are (almost always) vertices of an equilateral triangle ANBNCN (known as a Napoleon triangle of ABC; see Figure 1).

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16

Bradley, C. J. "The Fermat point configuration." Mathematical Gazette 92, no. 524 (2008): 214–22. http://dx.doi.org/10.1017/s0025557200183044.

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In this article a theorem similar to Napoleon’s theorem is established for the Fermat point configuration of a triangle. Areal coordinates are used throughout, with ABC as triangle of reference. For a full account of how to define and use these coordinates see Bradley [1]. Alternative synthetic proofs, generously supplied by the referee, are also included. The presentation of the paper with its emphasis on coordinates was designed in part to show that an algebraic treatment of the Fermat point configuration is possible, as well as the more familiar synthetic or complex number treatments.

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17

McKay, Angela. "An Analogue of Napoleon’s Theorem in the Hyperbolic Plane." Canadian Mathematical Bulletin 44, no. 3 (2001): 292–97. http://dx.doi.org/10.4153/cmb-2001-029-3.

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AbstractThere is a theorem, usually attributed to Napoleon, which states that if one takes any triangle in the Euclidean Plane, constructs equilateral triangles on each of its sides, and connects the midpoints of the three equilateral triangles, one will obtain an equilateral triangle. We consider an analogue of this problem in the hyperbolic plane.

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18

Vidak, Stipe. "The Napoleon-Barlotti theorem in pentagonal quasigroups." Glasnik Matematicki 51, no. 2 (2016): 359–77. http://dx.doi.org/10.3336/gm.51.2.06.

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19

McConachie, Bruce. "Theatre History and the Nation-State." Theatre Research International 20, no. 2 (1995): 141–48. http://dx.doi.org/10.1017/s0307883300008385.

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The American theatre and film critic Stanley Kaufman once told the following version of the ‘Napoleon’ joke. It seems a French official in the 1820s on a visit to an insane asylum was taken around the institution by one of the inmates. As the tour progressed, the official was increasingly impressed by the inmate's evident knowledge of the asylum. There were times when his guide even seemed to be running the place; he commanded orderlies to open locked doors or to remove other inmates from confinement, and the orderlies always obeyed. Finally, they came to the last room on the tour and the inmate explained that the people within suffered from delusions of grandeur. Sure enough, the official looked through the bars and saw an entire roomful of men dressed like French generals, strutting about with one hand thrust inside their vests. ‘Those poor fools all think they are Napoleon’, said the guide. Certain now that his guide was as rational as he, the official asked him how soon he was going to be released. The inmate drew him aside and whispered confidentially, ‘They'll never let me go. They're afraid of my power in France. They know all these other Napoleons are fakes.’

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20

Le, Quang-Nhat. "A Projective Analogue of Napoleon’s and Varignon’s Theorems." Mathematical Intelligencer 40, no. 1 (2018): 55–58. http://dx.doi.org/10.1007/s00283-017-9746-6.

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21

Martini, Horst. "On the theorem of Napoleon and related topics." Mathematische Semesterberichte 43, no. 1 (1996): 47–64. http://dx.doi.org/10.1007/s005910050013.

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22

Riani, Silvia, Mash adi, and Leli Deswita. "Side Length of the Extension of Napoleon’s Outer Theorem on Triangle." International Journal of Mathematics Trends and Technology 67, no. 1 (2021): 29–35. http://dx.doi.org/10.14445/22315373/ijmtt-v67i1p505.

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23

null, Mashadi. "Development of Napoleon’s Theorem on the Rectangles in Case of Inside Direction." International Journal of Theoretical and Applied Mathematics 3, no. 2 (2017): 54. http://dx.doi.org/10.11648/j.ijtam.20170302.11.

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24

Mashadi, null. "The Development of Napoleon’s Theorem on the Quadrilateral in Case of Outside Direction." Pure and Applied Mathematics Journal 6, no. 4 (2017): 108. http://dx.doi.org/10.11648/j.pamj.20170604.11.

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25

Nicholson, Andrew. "Napoleon's ‘last act’ and Byron's Ode." Romanticism 9, no. 1 (2003): 68–81. http://dx.doi.org/10.3366/rom.2003.9.1.68.

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26

James Smith Allen. "Napoleon's Sorcerers: The Sophisians (review)." Nineteenth Century French Studies 37, no. 1-2 (2008): 144–46. http://dx.doi.org/10.1353/ncf.0.0076.

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27

McConnell, Allen, Henri Troyat, and Joan Pinkham. "Alexander of Russia: Napoleon's Conqueror." Russian Review 44, no. 1 (1985): 105. http://dx.doi.org/10.2307/129289.

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28

Fox, Michael. "Some properties of Kiepert lines of a triangle." Mathematical Gazette 100, no. 547 (2016): 54–67. http://dx.doi.org/10.1017/mag.2016.8.

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This article describes an investigation into Kiepert lines, and leads to some surprising and little-known relationships between the Fermat, Napoleon and Vecten points of a triangle.If we draw similar isosceles triangles A'BC, B'CA and C'AB outwards on the sides of a given scalene triangle ABC as in Figure 1, Kiepert's theorem tells us that the lines A'A, B'B and C'C meet in a single point - a Kiepert point [1, Chapter 11]. Since its position depends on the common base angles θ of the isosceles triangles, I label it K(θ), taking θ as the parameter of this point.

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29

von Kleist, Heinrich. "Primer of French Journalism." October 160 (June 2017): 131–36. http://dx.doi.org/10.1162/octo_a_00296.

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Written in 1809 in response to Napoleon's war propaganda and published posthumously, Heinrich von Kleist's satirical “Primer of French Journalism” ( Lehrbuch der französischen Journalistik) appropriates the form of the instruction manual to expose the process by which fake news is manufactured and disseminated in the media.

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30

Hugo, Victor, and Brooks Haxton. "Napoleon's Army after the Fall of Moscow." Hudson Review 54, no. 3 (2001): 427. http://dx.doi.org/10.2307/3853374.

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31

Suzuki, Fukuzo. "92.18 Generalisations of the Napoleon theorems, and triangles circumscribing a given triangle." Mathematical Gazette 92, no. 523 (2008): 115–24. http://dx.doi.org/10.1017/s0025557200182701.

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32

Grawe, Christian, and Christoph Hein. "Das Napoleon-Spiel." World Literature Today 68, no. 3 (1994): 555. http://dx.doi.org/10.2307/40150427.

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33

Hanaway, William L., Iraj Pezeshkzad, and Dick Davis. "My Uncle Napoleon." World Literature Today 71, no. 1 (1997): 217. http://dx.doi.org/10.2307/40152771.

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34

Woodring, Carl, and Simon Bainbridge. "Napoleon and English Romanticism." Studies in Romanticism 37, no. 3 (1998): 491. http://dx.doi.org/10.2307/25601352.

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35

Lehman, David. "The Code of Napoleon." Yale Review 85, no. 4 (1997): 118–20. http://dx.doi.org/10.1111/0044-0124.00179.

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36

Potkay, M. B. "The Secret Napoleonic Code." Eighteenth-Century Life 34, no. 3 (2010): 28–31. http://dx.doi.org/10.1215/00982601-2010-006.

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37

Heitzman, Matthew. "“THE DEVIL'S CODE OF HONOR”: FRENCH INVASION AND THE RETURN OF HISTORY IN VANITY FAIR." Victorian Literature and Culture 44, no. 1 (2016): 43–57. http://dx.doi.org/10.1017/s1060150315000418.

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The final chapter ofVanity Fair's account of the 1815 Battle of Waterloo opens with a scene of public panic in the streets of Brussels. As French cannons sound just outside of the Belgian capital, Thackeray captures the chaos that ensues as the English men and women, who have accompanied the army to Brussels and remained in the city during the battle, begin to receive reports that Napoleon's forces have defeated the Duke of Wellington's army and are marching on the city. Rumor reigns in Brussels as the English civilians seek out one another for increasingly inaccurate reports on the French progress towards the city, and civil tranquility collapses as the public consensus becomes that French forces will soon invade.

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38

Collins, Irene. "Review: Napoleon and English Romanticism." Literature & History 6, no. 1 (1997): 97–98. http://dx.doi.org/10.1177/030619739700600113.

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39

Kelsall, Malcolm, and Simon Bainbridge. "Napoleon and English Romanticism." Modern Language Review 92, no. 3 (1997): 702. http://dx.doi.org/10.2307/3733412.

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40

Bell, David Avrom. "Napoleon in the Flesh." MLN 120, no. 4 (2005): 711–15. http://dx.doi.org/10.1353/mln.2005.0111.

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41

Semmel, Stuart. "British Uses for Napoleon." MLN 120, no. 4 (2005): 733–46. http://dx.doi.org/10.1353/mln.2005.0125.

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42

Trapp, Frithjof. "NAPOLEON REDIVIVUS: ZU WALTER HASENCLEVERS ‘ABENTEUER IN SIEBEN BILDERN’, NAPOLEON GREIFT EIN." German Life and Letters 45, no. 3 (1992): 212–15. http://dx.doi.org/10.1111/j.1468-0483.1992.tb00949.x.

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43

Spiegelman, Willard. ": Napoleon and English Romanticism. . Simon Bainbridge." Nineteenth-Century Literature 52, no. 2 (1997): 255–58. http://dx.doi.org/10.1525/ncl.1997.52.2.99p0292l.

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44

MARTIN, ANDREW. "THREE REPRESENTATIONS OF NAPOLEON." French Studies XLIII, no. 1 (1989): 31–46. http://dx.doi.org/10.1093/fs/xliii.1.31.

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45

MARTIN, A. "Three Representations of Napoleon." French Studies 43, no. 1 (1989): 31–46. http://dx.doi.org/10.1093/fs/43.1.31.

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46

Seiler, Bernd W. "Goethe, Napoleon und der ›junge Werther‹." Deutsche Vierteljahrsschrift für Literaturwissenschaft und Geistesgeschichte 83, no. 3 (2009): 396–407. http://dx.doi.org/10.1007/bf03375689.

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47

Rossman, Vadim, and Molly Wesling. "Napoleon in Russian Cultural Mythology." Slavic and East European Journal 46, no. 3 (2002): 590. http://dx.doi.org/10.2307/3220204.

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48

Clubbe, John. "The Creative Rivalry of Beethoven with Napoleon." European Romantic Review 17, no. 5 (2006): 543–58. http://dx.doi.org/10.1080/10509580601071356.

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49

Kelley, Theresa M. "J. M. W. Turner, Napoleonic Caricature, and Romantic Allegory." ELH 58, no. 2 (1991): 351. http://dx.doi.org/10.2307/2873372.

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50

Martin, Andrew. "The Mask of the Prophet: Napoleon, Borges, Verne." Comparative Literature 40, no. 4 (1988): 318. http://dx.doi.org/10.2307/1771192.

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