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Journal articles on the topic 'Apollonius'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

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1

Kim, Hyunjip. "Apollonius Rhodius and a Homeric Gloss." Eranos - Acta philologica Suecana 114, no. 1 (September 27, 2023): 1–6. http://dx.doi.org/10.33063/er.v114i1.212.

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This paper examines Apollonius Rhodius’s use of a Homeric gloss, ὁμαδέω. It argues that Apollonius adopts a double strategy in his intertextual engagement with Homer: Apollonius differentiates himself from his epic model on the one hand and establishes continuity on the other. For their appreciation, the two contrasting strategies require varying levels of familiarity with the Homeric original and Apollonius’s own epic. This reflects, I argue, the fact that Apollonius addresses different expectations from his audiences, and that he, accordingly, variously presents himself as an innovative poet or as a meticulous scholar. The double strategy lends Apollonius authority as poet and scholar.

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2

Henderson, Ian H. "Speech representation and religious rhetorics in Philostratus' Vita Apollonii." Studies in Religion/Sciences Religieuses 32, no. 1-2 (March 2003): 19–37. http://dx.doi.org/10.1177/000842980303200102.

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Philostratus' Vita Apollonii is structured by the stylistic distinction, older than Aristotle, between composed and improvisational rhetorics. Philostratus extends this bipolar theory of rhetorical styles to define for Apollonius a religious discourse beyond sophistic rhetoric, marked by silence and oracular speech. The Vita represents and evaluates speech in a variety of rhetorical modes and voices, especially those of Apollonius and the narrator. The whole continuum from vulgar lies, through sophistic rhetoric to Pythagorean or Delphic oracle is exemplified inside the range of Apollonius' own speech habits as Philostratus represents them. Whatever its merits as historical biography, Philostratus' narrative methodically interprets key possibilities of eccentric religious and political speech in the Roman Empire.

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3

Miles, Graeme. "Ominous Swans in Philostratus’ Life of Apollonius (1.5)." Mnemosyne 70, no. 5 (September 13, 2017): 758–74. http://dx.doi.org/10.1163/1568525x-12342212.

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AbstractThe opening chapters of Philostratus’Life of Apollonius of Tyanapresent readers with a series of signs foreshadowing the future character of the text’s protagonist. This article addresses a little discussed omen at Apollonius’ birth: the appearance of swans who set up a chorus around the future philosopher’s mother, startling her and bringing on his birth, before departing, apparently on their annual migration. This curious avian episode is, on closer inspection, laden with evocations, which have so far been only partially explored: of the god Apollo, and of the philosophers Pythagoras, Plato and Socrates, specifically as Apollonian philosophers.

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4

GĘBURA, Krzysztof. "Apoloniusz z Tiany. Święty czy szarlatan?" Historia i Świat 3 (September 10, 2014): 19–34. http://dx.doi.org/10.34739/his.2014.03.02.

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The present paper examines the life of Apollonius of Tyana, who lived in the Greek territory in the first century AD, a famous pagan Phytagorean philosopher and, allegedly, a man of numerous miracles. The text is divided into three parts. In the first one the sources of information about Apollonius are discussed. Many of them come from debates between pagan and Christian intellectuals, who lived after his death. The mostimportant testimony is the biography of Apollonius by Flavius Philostratos, a sophist connected with the court of Julia Domna, wife of emperor Septimius Sever. In the second part of this paper Apollonius’s unusual life is shown with an aim of evaluating which of the events reported in the sage’s biographies contain some element of historical truth and which are only implausible anecdotes. The third part of the article attempts to provide an answer to the question raised in the title. It seems that Apollonius of Tyana was neither a saint nor a charlatan in the Christian nomenclature but rather a figure who could be named theos aner (divine man) in the Hellenic(?) sense of this term. He was an eminentpagan holy man who throughout his entire life held intellectual discussions with Christians.

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5

Nelson, Paul B. "EURIPIDES'ALCESTISAND THE APOLLONIUS ROMANCE." Classical Quarterly 66, no. 1 (February 26, 2016): 421–23. http://dx.doi.org/10.1017/s0009838816000057.

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In 1924The Classical Quarterlypublished a note by Alexander Haggerty Krappe titled ‘Euripides’Alcmaeonand the Apollonius Romance’. Drawing attention to the obscure origins of the ancient Greek and Roman novels in general and pointing out the scholarly agreement on the role love plays in both the ancient novels and Euripidean tragedy, Krappe observed that ‘Euripides was drawn upon for whole episodes in order to enrich the plot of the [ancient] novel’. Krappe then goes on in his note to attribute the plot of Euripides' lostAlcmaeonas a source of inspiration for one of the major episodes of theHistoria Apollonii Regis Tyri(to wit, the separation and reunion of Apollonius and his daughter, Tarsia). Today, this reliance of the ancient novels on Euripides is generally recognized, but, curiously, Krappe, while identifying an episode from the lostAlcmaeon, failed to identify a clear plot-borrowing from another extant Euripidean play, theAlcestis.

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6

Волошинов, Д., and Denis Voloshinov. "Visual-Graphic Design of a Unitary Constructive Model to Solve Analogues For Apollonius Problem Taking into Account Imaginary Geometric Images." Geometry & Graphics 6, no. 2 (August 21, 2018): 23–46. http://dx.doi.org/10.12737/article_5b559c70becf44.21848537.

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The Apollonius problem on construction of circles, tangent to three arbitrary given circles of a plane, is one of classical geometry’s well-studied problems. The presented paper’s materials are directed at development a unified theory for Apollonius problem solving, taking into account it’s not only real, but also invisible complex-valued images. In the paper it has been demonstrated, that fundamental geometric structures, on which Apollonius problem is based on, are applicable not only to real, but also to complex-valued data, that makes possible to eliminate many exceptions, currently existing in it. In this paper Apollonius problem’s fundamental nature and its strong correlation with projective and quadratic geometric transformations has been disclosed. It has been proved that Apollonius problem and its analogues have a single solution method, in contrast to the prevailing idea that these problems can be solved only by separate particular methods. A concept of geometric experiment proposed by the author has allowed find out many previously unknown and discussed in this paper common factors, due to the set of many computational tests in the system Simplex for visual design of geometric models. In this paper is considered an example for solving an analogue of Apollonian problem for three-dimensional space, but proposed algorithm’s operation is universal, and it can be equally applied to solving similar problems in spaces of arbitrary dimensions. Obtained results demonstrate capabilities of methods for constructive modeling and multidimensional descriptive geometry in application to solving of complex mathematical problems, and determine the trends in development for automation systems of constructive geometric modeling.

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7

Praet, Danny. "Death and the Maiden in Philostratus, About Apollonius of Tyana 4.45." Mnemosyne 75, no. 1 (January 7, 2022): 169–206. http://dx.doi.org/10.1163/1568525x-bja10128.

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Abstract The Vita Apollonii leaves much open to interpretation. In 4.45 Philostratus tells us about a young woman who was thought dead by her family and the whole of Rome. Apollonius whispers something in her ear and the maiden starts talking again. The narrator comments it was impossible for the bystanders and still is impossible for him to say whether the girl was really dead or not: whether it was a case of Scheintod which proved Apollonius’s extraordinary powers of observation or whether it was a resurrection-miracle which would signal a special ontological status for ‘the man’ from Tyana. In his suspension of judgment, Philostratus uses the words arrhêtos hê katalêpsis combining a technical term from Stoic epistemology (katalêpsis) with a concept related to the Mysteries (arrhêtos). We discuss the Philostratean interpretative strategies, link them to the Pythagorean tradition of selective communication, and read the reference in this chapter to the story of Alcestis to the epistemological debates between Stoics and Skeptics about the limits of human wisdom.

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8

Magnelli, Enrico. "Quattro brevi note al quarto libro di Apollonio Rodio." II, 2022/2 (gennaio-dicembre), no. 2 (January 10, 2023): 1–9. http://dx.doi.org/10.35948/dilef/2023.4324.

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Note esegetiche e stilistiche al quarto libro delle Argonautiche di Apollonio, vv. 604 (con un possibile intervento testuale), 725, 1094, 1285.   Exegetical notes and stylistic observations on the fourth book of Apollonius’ Argonautica, vv. 604 (with a possible textual emendation), 725, 1094, 1285.

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9

Arumugam, Ponmana Selvan, Won-Gil Park, and Jaiok Roh. "Stability and Instability of an Apollonius-Type Functional Equation." Mathematics 12, no. 14 (July 21, 2024): 2274. http://dx.doi.org/10.3390/math12142274.

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For the inner product space, we have Appolonius’ identity. From this identity, Park and Th. M. Rassias induced and investigated the quadratic functional equation of the Apollonius type. And Park and Th. M. Rassias first introduced an Apollonius-type additive functional equation. In this work, we investigate an Apollonius-type additive functional equation in 2-normed spaces. We first investigate the stability of an Apollonius-type additive functional equation in 2-Banach spaces by using Hyers’ direct method. Then, we consider the instability of an Apollonius-type additive functional equation in 2-Banach spaces.

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10

McPhee, Brian D. "The Argo, Danaus, and Sesostris: On Allusions to Two First-Ship Traditions in Apollonius’s Argonautica." Yearbook of Ancient Greek Epic Online 5, no. 1 (November 30, 2021): 166–95. http://dx.doi.org/10.1163/24688487-00501005.

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Abstract Against recent skepticism, this article proposes that Apollonius’s Argonautica alludes to the variant traditions that regarded either the Argo or the ship of Danaus as the first that ever sailed. Both variants predate Apollonius, and the poet nods to each at different points in his epic. Most novel is my argument that the rare word Δαναΐς (1.137) constitutes a subtle allusion to the tradition that Danaus’s ship, the “Danais” (Δαναΐς, scholium ad Argonautica 1.1–4e), was the world’s first ship. Neither tradition jibes with Apollonius’s mythological chronology, but Danaus’s voyage nevertheless provides a resonant Greco-Egyptian exemplar for the Argonautic expedition.

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11

Atherton, Catherine. "Apollonius Dyscolus and the ambiguity of ambiguity." Classical Quarterly 45, no. 2 (December 1995): 441–73. http://dx.doi.org/10.1017/s0009838800043512.

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Apollonius Dyscolus’ use of ambiguity in grammatical problem-solving has in recent years had the benefit of two scholarly studies. David Blank, in the course of his analysis of the Syntax as a whole (1982), has described the broad functions which Apollonius assigns to ambiguity. Jean Lallot's 1988 paper, ‘Apollonius Dyscole et l'ambigüité linguistique: problemes et solutions’, is devoted exclusively to the treatment of linguistic ambiguity in Apollonius’ work. Yet it is to be feared that the flood of light thrown by these scholars on what had been an unregarded corner of ancient grammar has shown up rather more than Apollonius would have cared to admit, both about the nature, and about the prospects for success, of the enterprise on which he was engaged. At the same time, certain structural features of ancient grammar, at least of the ancient grammar which Apollonius himself constructed, have come into sharper focus: features clear enough with the benefit of hindsight, but glimpsed, it appears, all too dimly by Apollonius himslf. It is now worryingly clear not only that ambiguity was ambiguous for Apollonius, but also that the ambiguity of ambiguity represented a genuine threat to the coherence and value of his work. In this paper I set out to justify both these claims.

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12

Hunt, J. M. "Apollonius Citharoedus." Harvard Studies in Classical Philology 91 (1987): 283. http://dx.doi.org/10.2307/311410.

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13

Bremer, J. M. "Full Moon and Marriage in Apollonius' Argonautica." Classical Quarterly 37, no. 2 (December 1987): 423–26. http://dx.doi.org/10.1017/s0009838800030603.

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There are two passages in which the poet introduces a full moon to accentuate a particular aspect of a scene in his narrative; 1.1228–33 and 4.166–71. I shall concentrate on the second. Commentators have contributed various suggestions but failed to understand the specific erotic-nuptial connotation of the full moon. The same applies to the more specialized contributions of Drogemiiller and Rose. I shall (1) first present the evidence for the nuptial associations of the full moon, then (2) apply this idea to the Apollonian passages, especially 4.166–71, and finally (3) add a remark about the special effect obtained by Apollonius here in relation to an Homeric passage (Od. 23.231–9).

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14

Tondera, Adam. "Polemika Euzebiusza z Cezarei z Sossianusem Hieroklesem na temat porównania Apoloniusza z Tiany i Chrystusa jako reprezentantów kultury pogańskiej i chrześcijańskiej." Vox Patrum 64 (December 15, 2015): 491–502. http://dx.doi.org/10.31743/vp.3727.

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In the period of the growing importance of Christianity the pagan culture put forward Apollonius of Tyana as its eminent representative and a rival of Christ. At the beginning of the “great persecution” of the Christians Sossianus Hierocles, a high official in the administration of Diocletian, published his anti-Christian tract called The Lover of Truth, in which he drew a formal comparison between Apollonius and Christ. This way he tried to exalt Apollonius and the authors of the stories about him and the followers of the pagan culture. On the other hand he wanted to humiliate Christ and his apostles and all the Christians. Eusebius of Caesarea, the Christian historian, wrote a treatise in answer, in which he submitted the imagine of Apollonius, used by Hierocles in his anti- Christian propaganda, to a critical examination. His historical and philosophical critique reverses the objections of the adversary and shows some elements of pagan culture, represented by Apollonius, which should pass away.

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15

Nelis, Damien P. "Apollonius Rhodius,Argonautica4.12." Classical Quarterly 41, no. 1 (May 1991): 250–51. http://dx.doi.org/10.1017/s0009838800003748.

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16

Tzoumas, George M., and Ioannis Z. Emiris. "Apollonius circle conflict." ACM SIGSAM Bulletin 39, no. 4 (December 2005): 143–46. http://dx.doi.org/10.1145/1140378.1140388.

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17

Cobb, Matthew Adam. "Apollonius in India: The Vita Apollonii and the Indo-Graphic Tradition." Classical Journal 118, no. 4 (April 2023): 440–73. http://dx.doi.org/10.1353/tcj.2023.0011.

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18

Boter, Gerard. "The title of Philostratus’ Life of Apollonius of Tyana." Journal of Hellenic Studies 135 (2015): 1–7. http://dx.doi.org/10.1017/s0075426915000026.

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Abstract:The title of Philostratus’ Life of Apollonius of Tyana as it stands in all editions since Kayser’s 1844 edition, Tὰ ὲç τòν Tυανέα Ἀπολλώνιοώ is not correct. The genuine title of the work is Eἰç τòν Tυανέα Ἀπολλώνιον. The suggestion by Ewen Bowie, that the title of the work characterizes it as a novel, must therefore be dismissed. The meaning of the title is ambiguous: it means both ‘About Apollonius of Tyana’ and ‘In honour of Apollonius of Tyana’. This ambiguity may very well have been intended by Philostratus.

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19

Fortes, Fabio. "Between Poets and Philologists." Nuntius Antiquus 16, no. 1 (August 5, 2020): 57–76. http://dx.doi.org/10.35699/1983-3636..20985.

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Well known in the grammatical tradition as the formulator of the first treatise about the construction or syntax of the Greek language, Apollonius Dyscolus (2nd c. AD) devotes his Περὶ συντάχεως to a thorough examination of the Greek language, focusing mainly on its logical organization. However, the extensive reading of Apollonius’ work under this key has contributed to the overshadowing of the ‘philological’ dimension of this treatise perceived in the numerous analyses of constructions derived from poetic use, as well as in the quotations and allusions to poets and philologists within his work. Considering that the justification by Apollonius in his prologue was the “understanding of the writers and poets”, we ask ourselves: what role do poets and prose writers play in this study? We intend to show that Apollonius, despite never abandoning entirely the logic framework of his syntactic theory, puts in evidence a close reading of the Alexandrian philological tradition, both in the examples, quotations and allusions of poets and philologists, and in the procedure of analysis of Homer passages.

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20

Blank, David L. "Apollonius and maximus on the order and meaning of the oblique cases." Historiographia Linguistica 13, no. 2-3 (January 1, 1986): 241–57. http://dx.doi.org/10.1075/hl.13.2-3.07bla.

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Summary Apollonius Dyscolus’ science of syntax examines the expression of meanings and is founded on the assumption that the system of meanings and expressions is well ordered. The order of the various expressions involving cases is based on the logic of what they express, and therefore the order of verbal predicates and of spatial relations must not be confused with the order of the case-forms in which they are expressed. Just such a confusion lies behind the passage in which Maximus Planudes is commonly thought to have originated a “localist” theory of case: a summary of the introduction to Apollonius’ Syntax, in which the order of the cases received a passing mention, is embellished by Maximus with material adapted (by way of Heliodorus) from Apollonius’ discussion of the order of spatial relations, each of which may be expressed by a certain case. Besides being unoriginal and misguided in its interpretation of Apollonius, the resulting exposition of Maximus is not even a “localist” theory of case-meaning, as has often been uncritically claimed.

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21

Manuello, Patrick. "Testimonianze greche e romane su Apollonio Rodio." Florentia Iliberritana 31 (October 15, 2021): 81–98. http://dx.doi.org/10.30827/floril.v31i.17872.

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This paper focuses on Greek and Roman testimonies on Apollonius of Rhodes in order to clarify what the Ancients knew about the poet of Argonautica. By analysing a representative number of authors we find out that ancient writers rarely refer to Apollonius' life or to the composition of the poem. What rather seems to have interested them was not only the references to the Argonauts legends which the authoritative poem contained but also the not survived erudite works (in particular the κτίσεις). Some authors also (Dionysius Longinus' On the Sublime, Quintilian, Fronto, Gellius, Macrobius and Servius) mentioned Apollonius in passages concerning literary questions and useful to get an idea of some aspects of ancient reception of the poem.

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22

Brocquet, Sylvain. "Apollonius Dyscole et l’adverbe." Histoire Épistémologie Langage 27, no. 2 (2005): 121–40. http://dx.doi.org/10.3406/hel.2005.2663.

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23

HAMBLENNE, P. "Peut-on dater Apollonius?" Recherches de Théologie et Philosophie Médiévales 57 (January 1, 1990): 5–33. http://dx.doi.org/10.2143/rtpm.57.0.2016307.

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24

Giangrande, Giuseppe. "Dreams in Apollonius Rhodius." Quaderni Urbinati di Cultura Classica 66, no. 3 (2000): 107. http://dx.doi.org/10.2307/20546657.

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25

O’Hara, James J. "THE AENEID AND APOLLONIUS." Classical Review 54, no. 2 (October 2004): 374–76. http://dx.doi.org/10.1093/cr/54.2.374.

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26

Kyriakou, Poulheria. "Narrator and poetic divinities in Apollonius Rhodius’ Argonautica." Trends in Classics 10, no. 2 (December 19, 2018): 367–91. http://dx.doi.org/10.1515/tc-2018-0026.

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Abstract The role of poetic divinities in the proem of Apollonius’ Argonautica (1.1–22) has been discussed extensively in scholarly literature, often in conjunction with subsequent references to them. As several discussions are based on tendentious hypotheses or contain inaccuracies, I revisit the relationship of narrator and divinities in the proem and the rest of the poem. Apollonius’ proem is innovatively ambiguous but does not mark a radical break with tradition. The invocations of the Muses in fragments of Simonides (fr. 11.20–24 W2) and Empedocles (DK 31 B 131) are important precedents. Apollonius’ subsequent references to poetic divinities clarify the ambiguity in the proem and form a consistent picture, which does not portray a reversal of the relationship between poet and divinities sketched in the proem.

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Raggetti, Lucia. "Apollonius of Tyana’s Great Book of Talismans." Nuncius 34, no. 1 (February 25, 2019): 155–82. http://dx.doi.org/10.1163/18253911-03401006.

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Abstract The Great Book of Talismans (MS Paris BnF Ar. 2250) composed by Apollonius of Tyana is one of the Greek texts that have reached us in its Arabic recension. The Arabic not only preserves a part of the text lost in Greek, but it may bear witness to a more ancient layer of the textual tradition than the Byzantine one, along with the clues to a refined intellectual operation to recontextualize the whole work in the cultural milieu of reception. The kind of public talisman prepared by Apollonius – a metallic plaque or statue inscribed with magical names, either buried or placed on an elevated spot, sometimes protected by a shrine – became a model for talisman making. Some of Apollonius’ talismans, moreover, circulated as erratic textual blocks, entering the Arabic Hermetic literature and, more generally, texts on natural sciences and the technical literature. This paper reconstructs the transmission of the Great Book of Talismans, and offers an anthology of the talismans that Apollonius realized for a number of Near Eastern cities (Alexandria, Antioch, Emesa, Ephesus, Edessa), along with three comparanda that concretely exemplify the fluidity in the transmission of these materials.

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Philbrick, Rachel. "THE LITERARY POLEMICS OF ANTH. PAL. 11.275." Classical Quarterly 70, no. 1 (May 2020): 261–67. http://dx.doi.org/10.1017/s0009838820000452.

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Καλλίμαχος τὸ κάθαρμα, τὸ παίγνιον, ὁ ξύλινος νοῦς,αἴτιος ὁ γράψας Αἴτια Καλλίμαχος.Callimachus [means] trash, trifle, wooden mind:the cause is the Callimachus who wrote Causes.This abusive epigram, probably composed in the first century c.e. by a certain Apollonius ‘Grammaticus’, has become famous on account of its false attribution to Apollonius of Rhodes and of its consequent identification as ‘evidence’ for the literary feud between Apollonius and Callimachus. Its literary features have attracted less interest. Cameron, for one, dismissed it, finding ‘no coherent literary thrust to the polemic’. I argue here that this epigram in fact shows close engagement with the poetics of Callimachus and his language of literary self-definition. As we find in other anti-Callimachean epigrams, the author of Anth. Pal. 11.275 crafts his insults by appropriating and transforming several Callimachean terms of literary-aesthetic value, which he then directs back against their creator.

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29

Ripco Sipos, Elvira. "Apollonius' problems in grammar school." Teaching Mathematics and Computer Science 7, no. 1 (2009): 69–85. http://dx.doi.org/10.5485/tmcs.2009.0205.

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30

Lallot, Jean. "Sujet/prédicat chez Apollonius Dyscole." Archives et documents de la Société d'histoire et d'épistémologie des sciences du langage 10, no. 1 (1994): 35–47. http://dx.doi.org/10.3406/hel.1994.3392.

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31

Hunt, John. "Readings in Apollonius of Tyre." Harvard Studies in Classical Philology 99 (1999): 341. http://dx.doi.org/10.2307/311489.

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32

KOBAYASHI, Osamu. "Apollonius Points and Anharmonic Ratios." Tokyo Journal of Mathematics 30, no. 1 (June 2007): 117–19. http://dx.doi.org/10.3836/tjm/1184963650.

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33

Keyser, Paul T. "Apollonius the Sophist on τρίγληνα." Glotta 92, no. 1 (April 2016): 139–44. http://dx.doi.org/10.13109/glot.2016.92.1.139.

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34

Beck, Deborah. "Expressive Narration in Apollonius’ Argonautica." Syllecta Classica 25, no. 1 (2014): 33–58. http://dx.doi.org/10.1353/syl.2014.0001.

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Adkin, N. "Apollonius of Tyana in Jerome." Sacris Erudiri 39 (January 2000): 67–79. http://dx.doi.org/10.1484/j.se.2.303669.

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36

Nelis, Damien P. "Iphias: Apollonius Rhodius,Argonautica1.311–61." Classical Quarterly 41, no. 1 (May 1991): 96–105. http://dx.doi.org/10.1017/s0009838800003578.

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As an Apollo-like (1.307–9) Jason leaves home to start the long journey in quest of the Golden Fleece a strange incident occurs: The first thing to be said about this scene is that it is almost certainly an invention of Apollonius Rhodius.

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37

Matei-Chesnoiu, Monica. "The authority of geography in Pericles, Prince of Tyre: Jacob Falckenburgk and Dionysius Periegetes." Sederi, no. 24 (2014): 119–39. http://dx.doi.org/10.34136/sederi.2014.6.

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Taking into account the complex authorship of Pericles, Prince of Tyre, this paper surveys the intertextual influence of the Latin verse narrative of the Apollonius saga by Jacob Falckenburgk (London, 1578) and Thomas Twayne’s translation of Orbis terrae descriptio (The Surveye of the world) by Dionysius Periegetes (London, 1572) on the erratic geography of Pericles. Drawing on the Pericles/Apollonius tales (the play and its Latin verse and English prose intertexts), as well as the ancient geographic narrative describing the Eastern Mediterranean spaces of the settings, the play decentres the authority of ancient geography maintained via the well-travelled Apollonius tale or through the weight of classical texts. Pericles destabilizes the authority of both classical language and geography through a process of defamiliarization of and distancing from the legitimization of ancient texts and geographic tradition. Through the suggestion of alterity during the dramatic interaction, the play incorporates the recognition of difference and the support of tolerance within early modern transnational communities.

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Tondera, Adam. "Związek między chrystologią a teorią praw natury w traktacie Euzebiusza z Cezarei "Przeciwko Hieroklesowi"." Vox Patrum 57 (June 15, 2012): 713–25. http://dx.doi.org/10.31743/vp.4166.

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The apologetic treatise Against Hierocles is a polemical reply of Eusebius of Caesarea to an antichristian work of Sossianus Hierocles who drew a comparison between Apollonius of Tyana and Christ. The philosophical aspect of the Eusebius’ polemics contains his critique of the image of Apollonius as a „divine man” in the Philostratus’ The Life of Apollonius of Tyana. Eusebius negates the alleged divinity of the hero of Philostratus on the ground of the providential conception of the world, according to which human nature, in virtue of the order established by the Providence, is not able to rise to divine because of its limits. An approach of both natures is possible solely through a mission of a being that belongs to the heavenly sphere and is illuminated and sent by God. Only the envoy of heavens, who brings the salvation to the whole human race and leaves „the effects of eternal divinity” to people, can be really considered divine.

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DUBANOV, A. A. "VISUALIZATION OF THE APOLLONIUM CIRCLE DURING GEOMETRIC SIMULATION OF THE METHOD OF PARALLEL APPROXIMATION ON THE PLANE." Applied Mathematics and Fundamental Informatics 6, no. 4 (2019): 023–31. http://dx.doi.org/10.25206/2311-4908-2019-6-4-23-31.

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This article presents a quasidiscrete geometric model of the problem of simple pursuit on a plane by the method of parallel approximation. For each moment of time, the Apollonius circle and associated characteristic lines are constructed. In this geometric model, for the predetermined target path, the optimal path of the pursuer is found. Modeling was performed in the computer mathematics system MathCAD. Based on the simulation results, an animated video was made, where you can view the movement and transformation of the Apollonius circle and associated characteristic points and lines.

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Wang, Chunyan, Weixiang Shi, and Li Liang. "Cooperative Hunting Strategy with a Superior Evader Based on Differential Game." Complexity 2022 (June 9, 2022): 1–9. http://dx.doi.org/10.1155/2022/2239182.

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This paper considers a pursuit-evasion game with multiple pursuers and a superior evader. A novel cooperative pursuit strategy is proposed to capture a faster evader while maintaining a formation. First, the initial states including position distribution and the minimum required number of pursuers for ensuring capture are obtained based on the idea of Apollonius circle. Second, a cost function is designed, and the cooperative hunting strategy is developed using the distances between the centers of multiple Apollonius circles. Finally, numerical simulation and UAVs flying tests are provided to demonstrate the effectiveness of the proposed cooperative hunting strategy.

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Arthur-Montagne, Jacqueline. "Judicial Prayers and Biblical Models in the Story of Apollonius 32." American Journal of Philology 144, no. 4 (December 2023): 607–43. http://dx.doi.org/10.1353/ajp.2023.a927943.

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Abstract: The layering of classical and biblical language in the Story of Apollonius has fueled debate about the readership and religious contexts of the late Latin romance. This article analyzes the mixture of pagan and biblical elements in the central murder plot of Tarsia, for which two characters plead their innocence to an unnamed god. A reinterpretation of the intertexts in their parallel prayers reveals how the romance combines the formulae of judicial prayers and the Latin Vulgate to shape reader response to the episode. Apollonius 32 thereby accommodates readers from diverse religious traditions and foreshadows the story's final administration of justice.

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Patrascu, Ion, and Florentin Smarandache. "Some Properties of the Harmonic Quadrilateral." International Frontier Science Letters 1 (July 2014): 11–15. http://dx.doi.org/10.18052/www.scipress.com/ifsl.1.11.

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Mason, H. C. "Jason’s Cloak and the Shield of Heracles." Mnemosyne 69, no. 2 (February 4, 2016): 183–201. http://dx.doi.org/10.1163/1568525x-12341830.

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This article discusses the relationship between Apollonius Rhodius and pseudo-Hesiod. It argues that the ecphrasis on Jason’s cloak (Arg. 1.721-767) alludes extensively to the Shield of Heracles and to other Hesiodic poetry. Although some of the parallels in question have been noted before, many have been underplayed or overlooked. Apollonius’ references to ‘Hesiod’ should direct the audience’s reading of the Argonautica: the echoes of the Shield of Heracles focus attention on Heracles, who functions as a foil to Jason throughout the Argonautica, and invite comparison and contrast between the two heroes. The recognition of these allusions also has implications for certain problems in Hellenistic poetry.

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Callipo, Manuela. "Hyparktikón et substantivum : entre verbe et nom dans la grammaire grecque et latine." Histoire Epistémologie Langage 40, no. 2 (2018): 103–20. http://dx.doi.org/10.1051/hel/2018013.

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Apollonius Dyscole range parmi les hyparktikà rhḗmata les verbes aussi bien copulatifs que d’appellation : son usage reste un unicum dans l’ensemble du corpus grammatical grec tel qu’il nous a été transmis. Le système apollonien peut être expliqué – nous semble-t-il – par sa conception du nom, censé signifier à la fois la substance et la qualité du référent et donc lié à la signification de l’hyparxis / ousía : le fait de nommer un référent en implique l’existence du moins au niveau linguistique. Priscien de son côté, influencé par son arrière-plan platonicien, limite le verbum substantivum (calque de hyparktikòn rhḗma) au seul verbe sum, mais pour la première fois dans l’histoire de la linguistique ancienne transpose l’adjectif substantivum de la classe verbale à la classe nominale : il récupère ainsi d’une certaine manière l’héritage d’Apollonius et en même temps resserre à l’extrême les liens entre le nom et la substance.

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Lambert, Frédéric. "Aspects de l'énonciation chez Apollonius Dyscole." Histoire Épistémologie Langage 8, no. 2 (1986): 39–52. http://dx.doi.org/10.3406/hel.1986.2222.

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White, Heather. "Textual Problems in Apollonius Rhodius' Argonautica." L'antiquité classique 61, no. 1 (1992): 135–57. http://dx.doi.org/10.3406/antiq.1992.1136.

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Gross, Nicolas, and Charles R. Beye. "Ancient Epic Poetry: Homer, Apollonius, Virgil." Classical World 88, no. 3 (1995): 218. http://dx.doi.org/10.2307/4351696.

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Noegel, Scott. "Apollonius' "Argonautika" and Egyptian Solar Mythology." Classical World 97, no. 2 (2004): 123. http://dx.doi.org/10.2307/4352843.

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Kelly, Adrian. "APOLLONIUS AND THE END OF THEAENEID." Classical Quarterly 64, no. 2 (November 20, 2014): 642–48. http://dx.doi.org/10.1017/s0009838814000214.

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The death of Turnus is one of theAeneid's most controversial and variously interpreted episodes – anything from the triumphant vindication of Aeneas and the Roman future, to the poet's last, resounding plaint against Augustan totalitarianism, with all the more nuanced shades of opinion in between. Virgilian scholarship has recently become tired of the opposition between ‘optimist’ and ‘pessimist’ perspectives, but one piece of potentially important evidence has not found its way into the argument. As often, it is a matter of intertexts, and it begins, unsurprisingly, with theIliad.

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Fulton, Neale L., and Union H. N. Huynh. "Conflict Management: Apollonius in airspace design." Safety Science 72 (February 2015): 9–22. http://dx.doi.org/10.1016/j.ssci.2014.07.019.

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