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Journal articles on the topic 'Menelaus'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 April 2022

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1

Sandi, Selva Amelia, Mashadi Mashadi, and Sri Gemawati. "PENGEMBANGAN TEOREMA MENELAUS PADA SEGILIMA." JURNAL MATHEMATIC PAEDAGOGIC 3, no. 1 (July 16, 2018): 57. http://dx.doi.org/10.36294/jmp.v3i1.311.

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AbstractMenelaus's theorem is basically for triangles. Some authors have developed in quadrilateral. In this paper the authors develop Menelaus’s theorem for the pentagon. The proofing process is done in a very simple way that is using Menelaus's theorem on the triangle by partitioning the pentagon into several triangles, wide comparison of the triangle, and similarity. The results obtained are the five points on the sides or the extension of the sides in line (colinear). Keywords: pentagon, Menelaus’s theorem, Menelaus transversal. AbstrakTeorema Menelaus pada dasarnya adalah untuk segitiga. Beberapa penulis sudah mengembangkan dalam segiempat. Dalam tulisan ini penulis mengembangkan teorema Menelaus untuk segilima. Proses pembuktiannya dilakukan dengan cara yang sangat sederhana yaitu menggunakan teorema Menelaus pada segitiga dengan mempartisi segilima tersebut menjadi beberapa segitiga, perbandingan luas pada segitiga, dan kesebangunan. Hasil yang diperoleh adalah kelima titik yang berada pada sisi-sisi atau perpanjangan sisi-sisinya segaris (colinear).Kata kunci: segilima, teorema Menelaus, transversal Menelaus.

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2

Silvester, John R. "84.30 Ceva = (Menelaus) 2." Mathematical Gazette 84, no. 500 (July 2000): 268. http://dx.doi.org/10.2307/3621658.

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3

Papadopoulos, Athanase. "Three Theorems of Menelaus." American Mathematical Monthly 126, no. 7 (July 9, 2019): 610–19. http://dx.doi.org/10.1080/00029890.2019.1604052.

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4

Oliensis, Ellen. "MENELAUS’ WOUND (AND LAVINIA'S BLUSH)." Classical Quarterly 69, no. 1 (May 2019): 35–41. http://dx.doi.org/10.1017/s0009838819000326.

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The focus of this note is the simile attached to Menelaus’ wound in Iliad 4 and its Virgilian transformation in Aeneid 12. My goal is to flesh out and specify the sense of the Homeric simile; as the parentheses in my title suggest, I call upon Virgil chiefly as a fellow-interpreter. Since an important part of my argument is that the simile only takes on its full significance when considered in its narrative context, I begin by setting the scene.

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5

Williams, Peter F. "Malcolm Benbow Menelaus: 1930–2000." Journal of Pediatric Orthopaedics 21, no. 3 (May 2001): 419–20. http://dx.doi.org/10.1097/01241398-200105000-00029.

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6

Shminke, Boris A. "Routh’s, Menelaus’ and Generalized Ceva’s Theorems." Formalized Mathematics 20, no. 2 (December 1, 2012): 157–59. http://dx.doi.org/10.2478/v10037-012-0018-9.

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Summary The goal of this article is to formalize Ceva’s theorem that is in the [8] on the web. Alongside with it formalizations of Routh’s, Menelaus’ and generalized form of Ceva’s theorem itself are provided.

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7

Grünbaum, Branko, and G. C. Shephard. "Ceva, Menelaus, and the Area Principle." Mathematics Magazine 68, no. 4 (October 1, 1995): 254. http://dx.doi.org/10.2307/2690569.

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8

Grünbaum, Branko, and G. C. Shephard. "Ceva, Menelaus, and the Area Principle." Mathematics Magazine 68, no. 4 (October 1995): 254–68. http://dx.doi.org/10.1080/0025570x.1995.11996330.

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9

Fischer, Fred. "Four-bubble clusters and Menelaus’ theorem." American Journal of Physics 70, no. 10 (October 2002): 986–91. http://dx.doi.org/10.1119/1.1495407.

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10

Kyriakou, Poulheria. "Menelaus and Pelops in Euripides' Orestes." Mnemosyne 51, no. 3 (1998): 282–301. http://dx.doi.org/10.1163/1568525982611452.

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11

Sammons, Benjamin. "The Quarrel of Agamemnon & Menelaus." Mnemosyne 67, no. 1 (January 14, 2014): 1–27. http://dx.doi.org/10.1163/1568525x-12341212.

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Abstract In Odyssey Book 3, Nestor relates how a quarrel between the Atreidae led to a split of the Achaean army over departure from Troy. This story implies a representation of Agamemnon and Menelaus, their relationship, and their respective political roles, that is not reconcilable with that of the Iliad. I argue that Nestor’s tale reflects a tradition whose influence is visible in later texts, particularly the Cyclic Nostoi and some dramas of Euripides. While the Iliad clearly ignores this tradition, its language betrays some awareness of it; and in a few cases it is arguable that the Iliad alludes indirectly to a very different conception of Menelaus’s political role in the expedition against Troy.

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12

Renoux, Hélène. "The Proving of Morpho menelaus occidentalis." Homoeopathic Links 24, no. 01 (March 2011): 45–47. http://dx.doi.org/10.1055/s-0030-1250713.

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13

Hoehn, Larry. "A Menelaus-Type Theorem for the Pentagram." Mathematics Magazine 66, no. 2 (April 1, 1993): 121. http://dx.doi.org/10.2307/2691122.

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14

Hoehn, Larry. "A Menelaus-Type Theorem for the Pentagram." Mathematics Magazine 66, no. 2 (April 1993): 121–23. http://dx.doi.org/10.1080/0025570x.1993.11996096.

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15

Bayar, Ayşe, and Süheyla Ekmekçi. "On the Menelaus and Ceva 6-Figures in the Fibered Projective Planes." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/803173.

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The fibered versions of Menelaus and Ceva 6-figures in the fibered projective plane are given and the conditions to the fibered versions of Menelaus and Ceva 6-figures in the fibered projective plane with base plane, that is, projective plane, are determined.

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16

Steiner, Deborah. "Eyeless in Argos; a reading of Agamemnon 416–19." Journal of Hellenic Studies 115 (November 1995): 175–82. http://dx.doi.org/10.2307/631659.

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In the first stasimon of Aeschylus' Agamemnon, the estranged Helen and Menelaus share the second strophe. Beginning with an account of Helen's departure from Argos and her arrival in Troy, the chorus shifts its focus, moving back to the city deserted by the Queen, and to Menelaus grieving in the palace. With Helen no longer there, and Menelaus prey to the pathos that her absence inspires, ‘a phasma shall seem to rule the house. And the charm of beautiful kolossoi is hateful to the husband, and in the absence of eyes, gone is all Aphrodite’ (415–19). The difficulties of the stanza are legion.

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17

Crock, Henry V. "Malcolm Benbow Menelaus, MB BS, FRCS, FRACS, MD." Medical Journal of Australia 174, no. 5 (March 2001): 243. http://dx.doi.org/10.5694/j.1326-5377.2001.tb143248.x.

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18

Mirhady, David Cyrus. "The Oath-Challenge in Athens." Classical Quarterly 41, no. 1 (May 1991): 78–83. http://dx.doi.org/10.1017/s0009838800003542.

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In the 23rd book of the Iliad, Menelaus loses second place in the chariot race because of a manoeuvre by Antilochus. So, after Antilochus claims the second prize as his and dares others to fight him for it with their fists, Menelaus rises before the assembled heroes, sceptre in hand, to initiate a formal proceeding against him (571ff.). First he makes the charge: Antilochus has insulted his aretē and endangered his horses. He then calls upon the leaders of the Argives to judge fairly between them. But at this point he states that he will judge the case himself – in both instances the verb for ‘to judge’ is δικάζειν. He then calls on Antilochus to follow an involved procedure and finally to swear an oath that in running the race he did not purposefully use a trick. But despite the fact that Menelaus said during the race that Antilochus would not take the prize without swearing an oath (23.411), we do not know later what the result might be if Antilochus were to accept Menelaus' challenge and to swear the oath. Homer has him sidestep the challenge and concede the prize.

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19

Solez, Kevin. "Traveling with Helen: The Itineraries of Paris and Menelaus as Narrative Doublets." Yearbook of Ancient Greek Epic Online 3, no. 1 (May 23, 2019): 67–87. http://dx.doi.org/10.1163/24688487-00301003.

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Abstract The journey of Paris from Sparta to Troy and the journey of Menelaus from Troy to Sparta are narrative doublets that feature in the Epic Cycle. Both men follow a typical and historical pattern of mobility between Greece and the Levant before reaching their destination. These similarities constitute a proleptic doublet, where Paris’s journey is a less elaborate iteration of a story pattern that appears again in the nostos of Menelaus. In our known epics, the doublets appear near the beginning of the Cypria and at the very end of the Nostoi.

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20

Klamkin, Murray S., and Andy Liu. "Simultaneous Generalizations of the Theorems of Ceva and Menelaus." Mathematics Magazine 65, no. 1 (February 1, 1992): 48. http://dx.doi.org/10.2307/2691362.

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21

Klamkin, Murray S., and Sidney H. Kung. "Ceva's and Menelaus' Theorems and Their Converses via Centroids." Mathematics Magazine 69, no. 1 (February 1, 1996): 49. http://dx.doi.org/10.2307/2691397.

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22

Klamkin, Murray S., and Sidney H. Kung. "Ceva's and Menelaus' Theorems and Their Converses via Centroids." Mathematics Magazine 69, no. 1 (February 1996): 49–51. http://dx.doi.org/10.1080/0025570x.1996.11996382.

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23

Klamkin, Murray S., and Andy Liu. "Simultaneous Generalizations of the Theorems of Ceva and Menelaus." Mathematics Magazine 65, no. 1 (February 1992): 48–52. http://dx.doi.org/10.1080/0025570x.1992.11995977.

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24

Han, Zhiwu, Shichao Niu, Meng Yang, Zhengzhi Mu, Bo Li, Junqiu Zhang, Junfeng Ye, and Luquan Ren. "Unparalleled sensitivity of photonic structures in butterfly wings." RSC Adv. 4, no. 85 (2014): 45214–19. http://dx.doi.org/10.1039/c4ra06117a.

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25

Kaya, R., and S. çİftçİ. "On Menelaus and Ceva 6-figures in Moufang projective planes." Geometriae Dedicata 19, no. 3 (December 1985): 295–96. http://dx.doi.org/10.1007/bf00149369.

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26

Rashed, Roshdi, and Athanase Papadopoulos. "ON MENELAUS' SPHERICS III.5 IN ARABIC MATHEMATICS, II: NAṢĪR AL-DĪN AL-ṬŪSĪ AND IBN ABĪ JARRĀDA." Arabic Sciences and Philosophy 25, no. 1 (February 13, 2015): 1–32. http://dx.doi.org/10.1017/s0957423914000083.

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AbstractIn his Sphaerica, Menelaus did not prove Proposition III.5 which is particularly important. He only gave an outline of a proof. Once the Sphaerica were translated into Arabic, mathematicians, starting from the end of the 9th century on, took up this proof. That was made possible to Ibn ʿIrāq thanks to the development of spherical geometry. A first paper contained the history of his contribution. Two other mathematicians, from the 13th century – Naṣīr al-Dīn al-Ṭūsī and Ibn Abī Jarrāda – worked out again the proof of the proposition with the help of Menelaus' book and of the new acquisitions of Ibn ʿIrāq. This is the subject of this second paper.

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27

Griffith, R. Drew. "Sailing to Elysium: Menelaus' Afterlife ("Odyssey" 4.561-569) and Egyptian Religion." Phoenix 55, no. 3/4 (2001): 213. http://dx.doi.org/10.2307/1089119.

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28

Rashed, Roshdi, and Athanase Papadopoulos. "ON MENELAUS' SPHERICS III.5 IN ARABIC MATHEMATICS, I: IBN ʿIRĀQ." Arabic Sciences and Philosophy 24, no. 1 (January 24, 2014): 1–68. http://dx.doi.org/10.1017/s0957423913000088.

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AbstractThis is the first paper in a series in which we provide critical editions of four texts written between the eleventh and the thirteenth century concerning Proposition III.5 of Menelaus' Spherics. The first paper contains introductory material on the work of Ibn ʿIrāq on spherical geometry and a critical edition of his two texts on the rectification of Proposition III.5, together with translations and historical and mathematical commentaries. The second paper contains critical editions of the texts by Naṣīr al-Dīn al-Ṭūsī and Ibn Abī Jarrāda on the same subject, again with translations and historical and mathematical commentaries.

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29

Kozma, József, and Árpád Kurusa. "Ceva’s and Menelaus’ theorems characterize the hyperbolic geometry among Hilbert geometries." Journal of Geometry 106, no. 3 (December 7, 2014): 465–70. http://dx.doi.org/10.1007/s00022-014-0258-7.

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30

Niu, ShiChao, Bo Li, JunFeng Ye, ZhengZhi Mu, JunQiu Zhang, Yan Liu, and ZhiWu Han. "Angle-dependent discoloration structures in wing scales of Morpho menelaus butterfly." Science China Technological Sciences 59, no. 5 (January 19, 2016): 749–55. http://dx.doi.org/10.1007/s11431-016-6007-4.

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31

Ryzman, Marlene. "The reversal of Agamemnon and Menelaus in Euripides’ Iphigenia at Aulis." Emerita 57, no. 1 (June 30, 1989): 111–18. http://dx.doi.org/10.3989/emerita.1989.v57.i1.581.

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32

Meridor, Ra’anana. "Creative rhetoric in Euripides’ Troades: some notes on Hecuba's speech." Classical Quarterly 50, no. 1 (May 2000): 16–29. http://dx.doi.org/10.1093/cq/50.1.16.

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Euripides' Troades was a work not much studied until the end of World War II. Since then the play, and in particular the part played by Helen and the debate concerning her accountability for her elopement and its consequences, have not ceased to attract scholarly attention. The recent interest in the rhetoric of this agon has thrown additional light on the entire scene, the third and last episode of the play. The debate is occasioned by Menelaus’ announcement (873–5) that the men who captured his runaway wife handed her over to him for execution—or, should he so choose, to take her back home. In the first speech (914–65) Helen tries to persuade Menelaus that she cannot justly be punished with death for having served as the tool of a most powerful goddess. Hecuba, in her answering speech (969–1032), strives to discredit Helen in order to prevent her reinstatement and oblige Menelaus to carry out the death sentence. In this paper I would like to draw further attention to some of Hecuba's arguments. Assuming general acquaintance with current readings of the agon, I shall start with a section-by-section discussion of the old queen's speech and its immediate effect, with an emphasis on significant motifs. Certain further implications will be pointed out at the end of the paper.

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33

KONOPELCHENKO, B. G. "MENELAUS RELATION, HIROTA–MIWA EQUATION AND FAY'S TRISECANT FORMULA ARE ASSOCIATIVITY EQUATIONS." Journal of Nonlinear Mathematical Physics 17, no. 4 (January 2010): 591–603. http://dx.doi.org/10.1142/s1402925110001070.

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34

Su, Stephen, and Cheng Shyong Lee. "Simultaneous Generalizations of the Theorems of Menelaus, Ceva, Routh, and Klamkin/Liu." Mathematics Magazine 91, no. 4 (August 8, 2018): 294–303. http://dx.doi.org/10.1080/0025570x.2018.1495435.

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35

Adrian Chun Pong Chu. "Dihedral Angle of the Regular n-Simplex via Menelaus’ Theorem." American Mathematical Monthly 124, no. 9 (2017): 826. http://dx.doi.org/10.4169/amer.math.monthly.124.9.826.

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36

Houston, Kelly B., and Robert C. Powers. "Simultaneous generalizations of the theorems of Ceva and Menelaus for field planes." International Journal of Mathematical Education in Science and Technology 40, no. 8 (December 15, 2009): 1085–91. http://dx.doi.org/10.1080/00207390903121776.

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37

Andreacchio, Antonio, Carlo Origo, and Gino Rocca. "Early Results of the Modified Simmonds-Menelaus Procedure for Adolescent Hallux Valgus." Journal of Pediatric Orthopaedics 22, no. 3 (May 2002): 375–79. http://dx.doi.org/10.1097/01241398-200205000-00022.

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38

Emans, John B. "MENELAUSʼ ORTHOPAEDIC MANAGEMENT OF SPINA BIFIDA CYSTICA. ED. 3. Edited by Nigel S. Broughton and Malcolm B. Menelaus. Philadelphia, W. B. Saunders, 1998. $90.00, 216 pp." Journal of Bone & Joint Surgery 81, no. 6 (June 1999): 898–9. http://dx.doi.org/10.2106/00004623-199906000-00020.

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39

Konopelchenko, B. G., and W. K. Schief. "Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy." Journal of Physics A: Mathematical and General 35, no. 29 (July 12, 2002): 6125–44. http://dx.doi.org/10.1088/0305-4470/35/29/313.

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40

Avelar dos Santos, Jhonata, Pedro Victor S. Freitas, Gilson Ferreira Jr, and Thiago Yukio Tanaka. "Explorando os teoremas de Menelaus e Ceva em questões de olimpíadas de matemática." Revista Professor de Matemática On line 9, no. 3 (2021): 461–82. http://dx.doi.org/10.21711/2319023x2021/pmo932.

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41

Liu, Feng, Yuping Liu, Lei Huang, Xinhua Hu, Biqin Dong, Wangzhou Shi, Yiqun Xie, and Xiang Ye. "Replication of homologous optical and hydrophobic features by templating wings of butterflies Morpho menelaus." Optics Communications 284, no. 9 (May 2011): 2376–81. http://dx.doi.org/10.1016/j.optcom.2011.01.017.

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42

Berthier, Serge, Eric Charron, and Anabela Da Silva. "Determination of the cuticle index of the scales of the iridescent butterfly Morpho menelaus." Optics Communications 228, no. 4-6 (December 2003): 349–56. http://dx.doi.org/10.1016/j.optcom.2003.10.032.

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43

Olson, S. Douglas. "The Stories of Helen and Menelaus (Odyssey 4.240-89) and the Return of Odysseus." American Journal of Philology 110, no. 3 (1989): 387. http://dx.doi.org/10.2307/295214.

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44

Rodighiero, Andrea. "Aeschylus Agamemnon 104–05, Homer and the Epic Tradition: A New Survey." Journal of Hellenic Studies 138 (2018): 36–49. http://dx.doi.org/10.1017/s0075426918000022.

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AbstractThis article is a discussion and analysis of Aeschylus Agamemnon 104–05, with special reference to the epic models operating behind the typically Homeric enjambement ἀνδρῶν / ἐκτελέων. The ἄνδρες should be understood as the Argive heroes of the expedition against Troy, and not as the sons of Atreus, Agamemnon and Menelaus. This interpretation is supported by a number of examples taken from Archaic and Hellenistic epic poems.

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45

Guţu, Bogdan Lucian. "Singularity and Multiplication In The Translation of The Dramatic Text." Theatrical Colloquia 10, no. 1 (May 1, 2020): 148–57. http://dx.doi.org/10.2478/tco-2020-0010.

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AbstractThis text in front of you is the translator’s review, a case study, but also a deep analysis of tragedy Menelao (una tragedia contemporanea) written in 2016 by Davide Carnevali. The playwright sees în Menelaus an anti-hero with aspirations of a hero: recently returned after an exhausting fight, the king of Sparta finds himself sliding into an existential crisis which throws him into an endless depression. The plot follows the journey and the devastating consequences of a psychosis generated by post-traumatic shock caused by the war which the Spartan king survived… Without a doubt, the Italian’s writing method slightly touches the unconventional. Right after the list of characters, before the Prologue, the playwright himself carefully places a stage direction which can be seen as a statement, stating the fact that the acronyms and the temporal incongruities must be considered what they are...nothing! The concept of time does not exist in tragedies, just a glimpse which passes at the same time with the epiphany, or which can expand to the horizon of an end which doesn’t take place, for all eternity.

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46

van Emde Boas, Evert. "The Tutor’s Beard." Mnemosyne 68, no. 4 (July 2, 2015): 543–68. http://dx.doi.org/10.1163/1568525x-12301528.

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In this paper I discuss several cases of controversial speaker-line attribution in Greek tragedy, with the overall goal of showing that greater attention needs to be paid to gender-specific language in the business of textual criticism. Differences between male and female speech in Greek drama may offer crucial indications for the attribution of contested lines. I argue that the distribution of E. El. 959-966 in the manuscripts should be maintained, primarily for two gender-related reasons: women in tragedy do not give commands to servants if free men are present, and the discussion of clothing at 966 is typical of Electra’s female concerns. For the first half of the ‘recognition duet’ between Helen and Menelaus at E. Hel. 625-659, I argue, on the basis of recent work on male and female lyric, that 638-640 should be assigned to Helen, and that there is no need to avoid giving 636 or 654-655 to Menelaus because they are ‘too emotional’ for a man. In discussing these passages I seek to contribute to the growing understanding of the distinct characteristics of tragic male and female language, and to argue for the role that the study of those characteristics can play in textual criticism.

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47

Sidoli, Nathan. "Rashed, Roshdi, and Athanase Papadopoulos. Menelaus’ ‘Spherics’: Early Translation and al-Māhānī/al-Harawī’s Version." Aestimatio: Critical Reviews in the History of Science 14 (August 4, 2020): 14–21. http://dx.doi.org/10.33137/aestimatio.v14i0.34673.

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48

Schief, Wolfgang Karl. "Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus’ and Carnot’s Theorems." Journal of Nonlinear Mathematical Physics 10, sup2 (January 2003): 194–208. http://dx.doi.org/10.2991/jnmp.2003.10.s2.16.

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49

He, Zhenzhu, Abdelrahman Elbaz, Bingbing Gao, Junning Zhang, Enben Su, and Zhongze Gu. "Disposable Morpho menelaus Based Flexible Microfluidic and Electronic Sensor for the Diagnosis of Neurodegenerative Disease." Advanced Healthcare Materials 7, no. 5 (January 18, 2018): 1701306. http://dx.doi.org/10.1002/adhm.201701306.

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50

Sais, Lilian Amadei. "Helena em Odisseia IV." Nuntius Antiquus 10, no. 1 (June 30, 2014): 103–22. http://dx.doi.org/10.17851/1983-3636.10.1.103-122.

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The aim of this paper is to present a brief analysis of Helen in Book IV of Homer’s Odyssey. Book IV displays the well- known stories of Helen and Menelaus, symmetric in form but opposite in the way Helen is represented. An approach of Helen’s ambiguity in this book may help to establish the tension it generates in the whole of Odyssey. Besides that, the meaning of this ambiguity and tension can be seen as potentially influencing other female characters, like Penelope herself.

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