81. The Great Library Of Alexandria pappus of alexandria, who lived around the time of Roman emperor Theodosius, wasthe last of the great Greek geometers and one of his theorems is cited as http://www.geocities.com/apollonius_theocritos/page04.html

Hellenism and Multiculturalism G reek was the official language of Ptolemaic Egypt and though Egyptians continued to form the overwhelming majority of the population of the countryside, Alexandria was different. Peoples from many lands settled there and most newcomers eventually adopted Greek, the lingua franca of the whole eastern Mediterranean and beyond. Even those groups known for the conservative retention of other aspects of their culture, notably the Jews, forgot their native tongues and learned Greek. A t the Great Library Greek translations were commissioned as a matter of course. Aristeas, writing one hundred years after the Library's inception, records that Ptolemy I Soter handed over to Demetrius of Phaleron, a former pupil of Aristotle, the job of gathering books and scrolls, as well as letting him supervise a massive effort to translate the most important works of other cultures into Greek. This process began with the translation of Old Testament, for which project the library hired and housed seventy-two rabbis to produce its famous namesake, the Septuagint.

82. Archimedes - Metaweb pappus of alexandria writes that Archimedes had written a practical book on theconstruction of such spheres entitled On SphereMaking. http://www.metaweb.com/wiki/wiki.phtml?title=Archimedes

83. Euclid@Everything2.com pappus of alexandria, in his Mathematical Collection, says that Euclid was a man Pappus says that Euclid wrote four books on the Conic Sections (biblia http://www.everything2.com/index.pl?node=Euclid

84. Special Collections | The Dibner Library Of The History Of Science And Technolog Guldin s theorem has been accused by some later scholars to be a plagiarism ofthe work of pappus of alexandria, first printed in Latin in 1589 (in the http://www.sil.si.edu/libraries/Dibner/newacq_2001.htm

Highlights from Recent Acquisitions The Dibner Library acquires a Herald of Science: Joseph Lister's classic work of 1867, "On the antiseptic principle in the practice of surgery." Lister, Joseph (1827-1912). "On a new method of treating compound fracture, abscess, etc., with observations on the conditions of suppuration," in Lancet (1867): 95-96. WITH: "On the antiseptic principle in the practice of surgery," in Lancet (1867): 353-356, 668-669. Together two volumes of the Lancet, 4to. [2], 818; [2], 826 pp. The Dibner Library obtains another Herald of Science: A set of Acts of Parliament relating to the longitude problem. Recently the Dibner Library acquired a collection of Acts of the British Parliament and two period newspaper articles relating to the longitude problem and calendar reform. The purchase of the set was made possible with the Special Collections Endowment Fund. The importance of solving the problems of longitude and calendar reform were critical to the history of science and technology and this collection will enhance the research and exhibition values of the Dibner Library's holdings. "An Act for rendering more effectual an Act made in the twelfth year of the reign of her late majesty Queen Anne, intituled, 'An Act for providing a publick reward for such person or persons as shall discover the longitude at sea', with regard to the making experiments of proposals made for discovering the longitude" (1762)

85. List Of Scientists By Field Translate this page pappus of alexandria. pappus of alexandria. pappus of alexandria. Paracelsus,Theophrastus Philippus Aureolus Bombastus von Hohenheim http://www.indiana.edu/~newdsb/p.html

Pacchioni, Antonio Pacini, Filippo Pacini, Filippo Pacinotti, Antonio Pacioli, Luca Pacioli, Luca Packard, Alpheus Spring Padoa, Alessandro Pagano, Giuseppe Painter, Theophilus Shickel Paley, William Palisa, Johann Palissy, Bernard Palissy, Bernard Palladin, Aleksandr Vladimirovich Palladin, Aleksandr Vladimirovich Palladin, Vladimir Ivanovich Palladin, Vladimir Ivanovich Pallas, Pyotr Simon Pallas, Pyotr Simon Palmer, Edward Pander, Christian Heinrich Pander, Christian Heinrich Paneth, Friedrich Adolf Paneth, Friedrich Adolf Pannekoek, Antonie Papaleksi, Nikolai Dmitrievich Papanicolaou, George Nicholas Papanicolaou, George Nicholas Papin, Denis Pappus of Alexandria Pappus of Alexandria Pappus of Alexandria Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Pardies, Ignace Gaston Parenago, Pavel Petrovich Parent, Antoine Parkhurst, John Adelbert

86. Lecture Notes 2 - Math 3210 pappus of alexandria (340 AD). Pappus Theorem If points A,B and C are on oneline and A , B and C are on another line then the points of intersection of http://www-math.cudenver.edu/~wcherowi/courses/m3210/hg3lc2.html

Lecture Notes 2 Pappus of Alexandria (340 A.D.) Pappus' Theorem: If points A,B and C are on one line and A', B' and C' are on another line then the points of intersection of the lines AC' and CA', AB' and BA', and BC' and CB' lie on a common line called the Pappus line of the configuration. Axioms for the Finite Geometry of Pappus There exists at least one line. Every line has exactly three points. Not all lines are on the same point. [N.B. Change from the text] If a point is not on a given line, then there exists exactly one line on the point that is parallel to the given line. If P is a point not on a line, there exists exactly one point P' on the line such that no line joins P and P'. With the exception in Axiom 5, if P and Q are distinct points, then exactly one line contains both of them. Theorem 1.10 Each point in the geometry of Pappus lies on exactly three lines. Pf . Let X be any point. By corrected axiom 3, there is a line not containing X. This line contains points A,B,C [Axiom 2]. X lies on lines meeting two of these points, say B and C [Axiom 5]. There is exactly one line through X parallel to BC [Axiom 4]. There can be no other line through X since by Axiom 4 it would have to meet BC at a point other than A, B or C [Axioms 6 and 5], and this would contradict Axiom 2. Pappus geometry has 9 points and 9 lines.

87. Introductory Essay Jones pappus of alexandria. Book 7 of the Collection. Ed. and trans. AlexanderJones. 2 vols. New York Springer, 1986. Mueller 1981Mueller, Ian. http://wwwhs.cias.osakafu-u.ac.jp/~ksaito/Pidx_bib.html

Index of the Propositions Used in Book 7 of Pappus' Collection Ken SAITO (This article was originally printed in Jinbun Kenkyu: The Journal of Humanities, No.26(1997), Faculty of Letters, Chiba University pp. 155-188. For this printed version, write to the author Home Introductory Essay. Part 1-1: Symbols for Propositions in Part 1. ... Part 3. Index in the order of Pappus' text. Bibliography and Acknowledgements (this file) Bibliography and Acknowledgements Bibliography [Eecke] Pappus d'Alexandrie. tr. Paul Ver Eecke. 2 vols. (consecutive pagination). Paris, 1933. Reprint, Paris: Blanchard, 1982. [Gardies 1991] Gardies, J.-L. "La proposition 14 du livre V dans l'économie des Eléments d'Euclide." Revue d'histoire des sciences [Hultsch] Pappus. Pappi Alexandrini Collectionis quae supersunt. ed. and trans. F. Hultsch. 3 vols. Berlin, 1876-1878. [Jones] Pappus of Alexandria. Book 7 of the Collection. Ed. and trans. Alexander Jones. 2 vols. New York: Springer, 1986. [Mueller 1981]Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid's `Elements' . Cambridge, Mass.:The MIT Press.

88. Aust. Math. Soc. Gazette Vol 22 No 4 I believe that pappus of alexandria (c. 300 AD) deserves more credit than iscommonly attributed to him in this matter. Here is a short account of Pappus http://www.austms.org.au/Publ/Gazette/1995/Oct95/letters.html

Australian Math Society Web Site - the Gazette LETTERS Pappus and Mathematical Induction There is a common belief that the method of mathematical induction is a product of Western civilisation, discovered by Maurolyco (1495-1575) and that the first clear account of the method was given by Pascal. The term `mathematical induction' was first used by the English mathematician Auguste de Morgan in 1838. In his `Justification Theorem', Dedekind proved that this procedure does not lead to logical complications. (See [1], [2].) I believe that Pappus of Alexandria (c. 300 A.D.) deserves more credit than is commonly attributed to him in this matter. Here is a short account of Pappus' proof of one of his theorems. On the same line segment , three semicircles are drawn so that they are tangent in pairs. In the region bounded by the three semicircles, a chain of tangent circles is inscribed in the manner shown below. The diameters of these tangent circles are denoted by and the distances of their centres to the baseline by respectively. Pappus' Theorem states that

89. Table Of Contents Mensuration Heron of Alexandria. 16. pappus of alexandria. 17. Algebra Diophantusof Alexandria. 18. Commentators and Minor Writers. Appendix. Indices. http://web.doverpublications.com/cgi-bin/toc.pl/0486432319

American History, American...... American Indians Anthropology, Folklore, My...... Antiques Architecture Art Bridge and Other Card Game...... Business and Economics Chess Children Clip Art and Design on CD-...... Coloring Books Cookbooks, Nutrition Crafts Detective, Ghost , Superna...... Dover Patriot Shop Ethnic Interest Features Gift Certificates Gift Ideas History, Political Science...... Holidays Humor Languages and Linguistics Literature Magic, Legerdemain Military History, Weapons ...... Music Nature Performing Arts, Drama, Fi...... Philosophy and Religion Photography Posters Psychology, Education Puzzles, Amusement, Recrea...... Science and Mathematics Shakespeare Shop Sociology, Anthropology, M...... Sports, Out-of-Door Activi...... Stationery, Gift Sets Stationery, Seasonal Books...... Summer Fun Shop Summer Reading Shop Teacher's Store Travel and Adventure Women's Studies Clearance Center A Manual of Greek Mathematics by Sir Thomas L. Heath ISBN: 0486432319 Dover Publications Price: $29.95 click here to see this book This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers, and those seeking a historical perspective on mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones. 1931 ed.

90. HISTORY OF MATHEMATICS IN THE LAST 25 YEARS: NEW DEPARTURES, NEW QUESTIONS, NEW Analysis and sophistics in Pappus s Collectio Mathematica’. The mathematicalCollection written by pappus of alexandria in the 4th cent. http://www.tau.ac.il/humanities/cohn/activities/international_work/workshop2001/

Annual International Workshop History of Mathematics in the Last 25 Years New Departures, New Questions, New Ideas May 14-17, 2001 Tel-Aviv and Jerusalem Abstracts The emergence of the set-theoretical approach in mathematics The talk will explore the gradual rise of a set-theoretical approach to mathematical problems in German authors of the period 1850–1914. This includes Dirichlet’s work on real functions, Riemann’s work on function theory and differential geometry, Dedekind’s work on algebra and algebraic number theory, the work of Cantor and others on real functions and point-sets, attempts to bring to completion the arithmetization of mathematics, and many other later contributions (most notably, those of Hilbert). As can easily be seen from this list, set theory did not just emerge from the field of analysis, as used to be the opinion of historians on the basis of their study of Cantor’s career. In the talk we shall likewise consider the broad diffusion of set theory as the preferred language for modern mathematics around 1900, and the leading role played by Hilbert in this episode. Also present will be the emergence of logicism, which we shall understand as a result of the rise of set-theoretical mathematics, coupled with an old, “logical” conception of sets; and the problems posed by the set-theoretical paradoxes, showing that this “logical” conception was untenable and calling for axiomatization and formalization.

91. Re: Isidoros And Anthemios - Great Buildings Online - Architecture Forum Menelaus of Alexandria (Egypt), pappus of alexandria (Egypt), Sporus ofNicaea (Turkey), Theon of Alexandria (Egypt), Theon of Smyrna (Turkey), http://www.designcommunity.com/discussion/24882.html

Design Community Architecture Discussion Message - Re: Isidoros and Anthemios - Great Buildings Online Responses Architecture Forum Architecture Students Architecture Scrapbook ... ArchitectureWeek Posted by Just a visitor on January 16, 2003 at 10:21:21: In Reply to: Re: Isidoros and Anthemios - Great Buildings Online posted by Kevin Matthews on November 23, 1999 at 00:22:59: Dear Mr. Matthews, I would like to support what Mrs. Grigoris said about the unfortunate way in which Anthemios And Isidoros are presented. One gets a very strong impression, that those architects were of Turkish origin, after reading the biography of them presented in http://www.greatbuildings.com/architects/Isidoros_and_Anthemios.html I would like to provide you with a few references that should help you correct this: 1) John Warren, Greek mathematics and the architects to Justinian, Coach Publishing House, Sussex, England, 1971 2) Heath, Sir Thomas Little, A History of Greek Mathematics (2 Vols.) Clarendon Press, Oxford, 1921. Reprint: Dover Publ., New York, 1981 3)G.L. Huxley, Anthemius of Tralles, A study of later Greek Geometry, Cambridge, Massachusetts, 1959

92. The History Of Mathematics - Library Center For E-courses pappus of alexandria The Mac Tutor History of Mathematics Archive, University of pappus of alexandria . ? http://lib.haifa.ac.il/www/mesila/math/sites.htm

The History of Mathematics Trinity College, Dublin:á åôñàðù íåçúá íéøúà David R. Wilkins éãé ìò The History of Mathematics David R. Wilkins : é"ò êøòð History of mathematics resources Indexes of Biographies MacTutor History of Mathematics archive:êåúî Mathematicians of the Seventeenth and EigHteenth Centuries Mathematics Genealogy Project Mathematical Journey through Time The Mactutor History of Mathematics archive University of st Andrews Scotland,School of Mathematics and Statistics:êåúî Philosophy and History of Science Kyoto University World of Scientific Biography Erics Treasure Trove of Scientific Biography Arabic mathematics : forgotten brilliance? Doubling the cube History Topics: Babylonian mathematics History Topics: Ancient Egyptian mathematics ... udoxus of Cnidus The Mac Tutor History of Mathematics Archive, University of St. Andrews êåúî Eudoxus of Cnidus An Introduction to the works of Euklid with an Emphasis on the Elements Euclid of Alexandria The Mac Tutor History of Mathematics Archive University of St. Andrews:êåúî

93. MULTILANGUAGE TITLES ENGLISH ESPAÑOL FRANÇAIS ITALIANO READ-AND Greek Cosmologists (Serial), by David J. Furley, 2000; pappus of alexandriaand the Mathematics of Late Antiquity (Cambridge Classical Studies), http://members.fortunecity.com/jonhays/multiread.htm

web hosting domain names photo sharing MULTILANGUAGE TITLES ENGLISH ESPAÑOL FRANÇAIS ITALIANO READ-AND- HEED LEIDO-Y- LISEZ-ET- OBSERVEZ LEGGA-E- FACCIA-ATTENZIONE LESENSIE-UND- BEACHTENSIE Books below available Books in your language? Send haysjohnva@ hotmail.com disponibles Amazon.com ¿Libros en su lengua? Envíe haysjohnva@ hotmail.com Livres ci-dessous sdisponibles Amazon.com. Livres en votre langue? Envoyez haysjohnva @hotmail.com Libri sotto disponibili Amazon.com. Libri in vostra lingua? Trasmetta haysjohnva @hotmail.com Bücher unter verfügbam Amazon.com Bücher in Ihrem Sprache? Schickt haysjohn va@hotmail.com ANTIQUE ANTIQUO ANTIQUITÉ ANTICO ANTIQUITÄT LI> Stonehenge Decoded , Gerald S. Hawkins, 1965. The Ascent of Man , J. Bronowski, 1973 Episodes from the Early History of Mathematics , A. Aaboe, 1964. Geometry and Algebra in Ancient Civilizations , B. L. van der Waerden, 1983 Science Awakening I : Egyptian, Babylonian and Greek Mathematics , by B. L. Van der Waerden The Exact Sciences in Antiquity , Otto Neugebauer, 1957 EGYPTIAN EGIPCIO EGYPTIEN EGIZIANO ÄGYPTER The Egyptian Philosophers : Ancient African Voices from Imhotep to Akhenaten , Dr. Molefi Kete Asante, 2000

94. Encyclopedia: Euclid pappus of alexandria is one of the most important mathematicians of ancient Greektime, known for his work Synagoge or Collection (c. http://www.nationmaster.com/encyclopedia/Euclid

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Euclid" also viewed: Parallel postulate Euclid's Elements Non_Euclidean geometry Euclidean geometry ... Eugenio Beltrami What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Petri Gerdt Peter Hollingworth Peter Doherty Peter Cosgrove ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Euclid Updated 5 days 9 hours 14 minutes ago. Other descriptions of Euclid Euclid of Alexandria Greek ) (ca. 325 BC 265 BC ) was a Greek mathematician who taught at Alexandria in Egypt almost certainly during the reign ( 323 BC 283 BC ) of Ptolemy I . Now known as "the father of geometry ," his most famous work is Elements , widely considered to be history's most successful textbook . Within it, the properties of geometrical objects and integers are deduced from a small set of axioms , thereby anticipating (and partly inspiring) the axiomatic method of modern mathematics Centuries: 5th century BC - 4th century BC - 3rd century BC Decades: 370s BC 360s BC 350s BC 340s BC 330s BC - 320s BC - 310s BC 300s BC 290s BC 280s BC 270s BC 330 BC 329 BC 328 BC 327 BC 326 BC - 325 BC - 324 BC 323 BC 322... Centuries: 4th century BC - 3rd century BC - 2nd century BC Decades: 310s BC 300s BC 290s BC 280s BC 270s BC - 260s BC - 250s BC 240s BC 230s BC 220s BC 210s BC Years: 270 BC 269 BC 268 BC 267 BC 266 BC - 265 BC - 264 BC 263 BC...

95. Euclid Euclid of alexandria is the most prominent mathematician of antiquity best The picture of Euclid drawn by pappus is, however, certainly in line with the http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html

Euclid of Alexandria Born: about 325 BC Died: about 265 BC in Alexandria, Egypt Click the picture above to see six larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Euclid of Alexandria is the most prominent mathematician of antiquity best known for his treatise on mathematics The Elements . The long lasting nature of The Elements must make Euclid the leading mathematics teacher of all time. However little is known of Euclid's life except that he taught at Alexandria in Egypt. Proclus , the last major Greek philosopher, who lived around 450 AD wrote (see [1] or [9] or many other sources):- Not much younger than these pupils of Plato is Euclid, who put together the "Elements", arranging in order many of Eudoxus 's theorems, perfecting many of Theaetetus 's, and also bringing to irrefutable demonstration the things which had been only loosely proved by his predecessors. This man lived in the time of the first Ptolemy; for Archimedes , who followed closely upon the first Ptolemy makes mention of Euclid, and further they say that Ptolemy once asked him if there were a shorted way to study geometry than the Elements, to which he replied that there was no royal road to geometry. He is therefore younger than Plato 's circle, but older than

96. PAPPUS, Of Alexandria., Mathematicae Collectiones. Ed. by Federico Commandino. Numerous woodcut illus. diagrams in the text.4 pl (the last a blank), 334 (ie, 332) pp. Folio, cont. limp vellum (title a bit http://www.polybiblio.com/jahill/HillBibl-Selections697.0.html

Jonathan A. Hill, Bookseller Inc. Commandino's Mathematical Renaissance Completed PAPPUS, of Alexandria. Mathematicae Collectiones. Pesaro: H. Concordia, 1588. This item is listed on Bibliopoly by Jonathan A. Hill, Bookseller Inc. ; click here for further details.

97. Biografi: Pappus pappus av alexandria er den siste av de store greske geometerne, og en av hansteoremer regnes som fundamentet for den moderne projektive geometrien. http://www.matematikk.org/artikkel/vis.php?id=875

98. Bibliography pappus, of alexandria, fl. ca. 320, Pappi Alexandrini collectionis quae supersunt /libris manu scriptis edidit Latina inerpretatione et commentariis http://www.library.cornell.edu/math/bibliography/display.cgi?start=P&

99. Apollonius Of Perga Library Of Congress Citations Other authors pappus, of alexandria. Eutocius, of Ascalon. Heiberg, JL (JohanLudvig), 18541928. Series Entry Bibliotheca scriptorum Graecorum et http://www.malaspina.edu/~mcneil/cit/citlcapollonius1.htm

Apollonius of Perga : Library of Congress Citations The Little Search Engine that Could Down to Name Citations LC Online Catalog Amazon Search Book Citations (12 Records) Author: Apollonius, of Perga. Uniform Title: Keonika. French. Title: Les coniques d'Apollonius de Perge; 6uvres traduites pour la premiaere fois du grec en franpcais avec une introduction et des notes par Paul ver Eecke. Published: Bruges, Desclbee, de Brouwer et cie, 1923. Description: L p., 1 l., 656 p. front., diagrs. 28 cm. LC Call No.: QA31 .A6 1923 Notes: "Ouvrage publibe sous les auspices de la Fondation universitaire de Belgique." Subjects: Mathematics, Greek. Conic sections. Other authors: Ver Eecke, Paul, 1867- tr. Control No.: 24025507 //r842 Author: Apollonius, of Perga. Uniform Title: Keonika. English Title: Conics. Book I- Translated into English from the Greek by R. Catesby Taliaferro ... Published: [Annapolis, Md.] c1939- Description: v. diagrs. 28 cm. Series: The classics of the St. John's program LC Call No.: QA31 .A5 1939 Dewey No.: 513.22 Notes: At head of title: Apollonius of Perga. Mimeographed. Subjects: Mathematics, Greek. Conic sections. Other authors: Taliaferro, R. Catesby (Robert Catesby), 1907- tr. Control No.: 40008976 //r90 Author: Apollonius, of Perga. Title: Treatise on conic sections [microform] / edited in modern notation, with introductions including an essay on the earlier history of the subject by T.L. Heath. Published: Cambridge : University Press, 1896. Description: clxx, 254 p. : ill. ; 23 cm. LC Call No.: Microfilm 84/6746 (Q) Notes: Contents: Introduction: pt. I. The earlier history of conic sections among the Greeks. pt. II. Introduction to the "Conics" of Apollonius The "Conics" of Apollonius. Call number of original: QA31.A5 1896. Master microform held by: DLC. Microfilm. Washington, D.C. : Library of Congress Photoduplication Service, 1984. 1 microfilm reel ; 35 mm. Control No.: 84196497 //r85

100. EGMON PEREIRA - Site Oficial Translate this page pappus de alexandria. Matemático Grego. pappus viveu no início da era Cristãquando a atividade matemática estava em um período de declínio. http://egmonpereir.vilabol.uol.com.br/cientistas.htm

brook taylor Matemático Inglês. Taylor nasceu em uma família de posses. Artistas e músicos eram recebidos freqüentemente na casa de Taylor, os quais, sem dúvida, tiveram uma influência duradoura sobre o jovem Brook. Anos mais tarde, ele publicou um trabalho definitivo sobre a teoria matemática da perspectiva e obteve resultados importantes sobre as vibrações das cordas. Existe também um trabalho não - publicado, On Musick, que faria parte de uma publicação conjunta com Isaac Newton. A vida de Taylor foi marcada por infelicidade, doença e tragédia. Como a sua primeira mulher não era rica o suficiente para agradar o pai, os dois homens discutiram intensamente e se separaram. Subseqüentemente, a sua mulher morreu em um parto. Então, após casar - se de novo, a sua sgunda mulher também morreu de parto, embora a sua filha tenha sobrevivido. O período mais produtivo de Taylor foi de 1714 a 1719 durante o qual escreveu sobre uma variedade de assuntos - magnetismo, ação capilar, termômetros, perspectivas, e cálculos; em seus últimos anos dedicou os seus esforços para escrever sobre religião e filosofia. De acordo com Taylor, o resultado que leva o seu nome foi motivado por uma conversa em um café sobre os trabalhos de Newton a respeito do movimento planetário e os trabalhos de Halley ( do cometa de "Halley" ) sobre raizes de polinômios.

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