LEADER 03903nam 2200505 450 001 996237747803316 005 20210316133424.0 010 $a90-04-35099-3 024 7 $a10.1163/9789004350991 035 $a(CKB)3710000001444477 035 $a(OCoLC)47056365$z(OCoLC)84059111$z(OCoLC)492578830 035 $a(nllekb)BRILL9789004350991 035 $a(MiAaPQ)EBC6282524 035 $a(PPN)229592112 035 $a(EXLCZ)993710000001444477 100 $a20201126d2001 uy 0 101 0 $aeng 135 $aurun####uuuua 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $2rdacarrier 200 10$aApollonius of Perga's Conica $etext, context, subtext /$fby Michael N. Fried, Sabetai Unguru 210 1$aLeiden, The Netherlands ;$aBoston ;$aKo?ln :$cBrill,$d[2001] 210 4$dİ2001 215 $a1 online resource (xii, 499 pages) $cillustrations 225 1 $aMnemosyne, bibliotheca classica Batava. Supplementum ;$v222 311 $a90-04-11977-9 320 $aIncludes bibliographical references and index. 327 $tPreliminary Material /$rMICHAEL N. FRIED and SABETAI UNGURU --$tPREFACE AND ACKNOWLEDGEMENTS /$rMICHAEL N. FRIED and SABETAI UNGURU --$tINTRODUCTION /$rMICHAEL N. FRIED and SABETAI UNGURU --$tGEOMETRICAL ALGEBRA /$rMICHAEL N. FRIED and SABETAI UNGURU --$tTHE ELEMENTS OF CONIC SECTIONS IN THE FRAMEWORK OF BOOKS I?III /$rMICHAEL N. FRIED and SABETAI UNGURU --$tBOOK IV OF THE ELEMENTS OF CONIC SECTIONS: HOW CONIC SECTIONS MEET IN THE PLANE /$rMICHAEL N. FRIED and SABETAI UNGURU --$tMAXIMUM AND MINIMUM LINES: BOOK V OF THE CONlCA /$rMICHAEL N. FRIED and SABETAI UNGURU --$tEQUALITY AND SIMILARITY: BOOK VI OF THE CONICA /$rMICHAEL N. FRIED and SABETAI UNGURU --$tDIORISMIC THEOREMS AND THE USE OF ANALOGY: BOOK VII OF THE CONICA /$rMICHAEL N. FRIED and SABETAI UNGURU --$tONCE AGAIN, THE USE OF ANALOGY IN APOLLONIUS: CONICS AND CIRCLES /$rMICHAEL N. FRIED and SABETAI UNGURU --$tTHE CONICA AS AN INTEGRAL WHOLE: ELEMENTARY AND NON-ELEMENTARY BOOKS /$rMICHAEL N. FRIED and SABETAI UNGURU --$tSOME CIRCUMSCRIBED REFLECTIONS ON THE HISTORIOGRAPHY OF HELLENISTIC MATHEMATICS /$rMICHAEL N. FRIED and SABETAI UNGURU --$tAN ENGLISH TRANSLATION OF BOOK IV OF APOLLONIUS'S CONICA /$rMICHAEL N. FRIED and SABETAI UNGURU --$tBIBLIOGRAPHY /$rMICHAEL N. FRIED and SABETAI UNGURU --$tINDEX /$rMICHAEL N. FRIED and SABETAI UNGURU --$tSUPPLEMENTS TO MNEMOSYNE /$rH. PINKSTER , H. W. PLEKET , C.J. RUIJGH , D.M. SCHENKEVELD , P. H. SCHRIJVERS and S.R. SLINGS. 330 $aThis volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica . It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum . The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica , both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians. 410 0$aMnemosyne, bibliotheca classica Batava.$pSupplementum ;$v222. 606 $aMathematics, Greek 606 $aConic sections$vEarly works to 1800 615 0$aMathematics, Greek. 615 0$aConic sections 676 $a516.15 700 $aFried$b Michael N.$055735 702 $aUnguru$b Sabetai 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996237747803316 996 $aApollonius of Perga's Conica$92842983 997 $aUNISA