LEADER 03805nam 2200613Ia 450 001 9910784042703321 005 20230721025430.0 010 $a1-281-12135-5 010 $a9786611121358 010 $a981-270-884-7 035 $a(CKB)1000000000334162 035 $a(EBL)312341 035 $a(OCoLC)476099794 035 $a(SSID)ssj0000101765 035 $a(PQKBManifestationID)11138395 035 $a(PQKBTitleCode)TC0000101765 035 $a(PQKBWorkID)10043975 035 $a(PQKB)11003465 035 $a(MiAaPQ)EBC312341 035 $a(WSP)00006338 035 $a(Au-PeEL)EBL312341 035 $a(CaPaEBR)ebr10188709 035 $a(CaONFJC)MIL112135 035 $a(OCoLC)317384466 035 $a(EXLCZ)991000000000334162 100 $a20070327d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAmazing traces of a Babylonian origin in Greek mathematics$b[electronic resource] /$fJo?ran Friberg 210 $aHackensack, N.J. ;$aLondon $cWorld Scientific$dc2007 215 $a1 online resource (497 p.) 300 $aDescription based upon print version of record. 311 $a981-270-452-3 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; 1. Elements II and Babylonian Metric Algebra; 2. El. I.47 and the Old Babylonian Diagonal Rule; 3. Lemma El. X.28/29 1a, Plimpton 322, and Babylonian igi-igi.bi Problems; 4. Lemma El. X.32/33 and an Old Babylonian Geometric Progression; 5. Elements X and Babylonian Metric Algebra; 6. Elements IV and Old Babylonian Figures Within Figures; 7. El. VI.30, XIII.1-12, and Regular Polygons in Babylonian Mathematics; 8. El. XIII.13-18 and Regular Polyhedrons in Babylonian Mathematics; 9. Elements XII and Pyramids and Cones in Babylonian Mathematics 327 $a10. El. I.43-44, El. VI.24-29, Data 57-59, 84-86, and Metric Algebra11. Euclid's Lost Book On Divisions and Babylonian Striped Figures; 12. Hippocrates' Lunes and Babylonian Figures with Curved Boundaries; 13. Traces of Babylonian Metric Algebra in the Arithmetica of Diophantus; 14. Heron's, Ptolemy's, and Brahmagupta's Area and Diagonal Rules; 15. Theon of Smyrna's Side and Diagonal Numbers and Ascending Infinite Chains of Birectangles; 16. Greek and Babylonian Square Side Approximations; 17. Theodorus of Cyrene's Irrationality Proof and Descending Infinite Chains of Birectangles 327 $a18. The Pseudo-Heronic GeometricaAppendix 1. A Chain of Trapezoids with Fixed Diagonals; Appendix 2. A Catalog of Babylonian Geometric Figures; Index of Texts, Propositions, and Lemmas; Index of Subjects; Bibliography; Comparative Mesopotamian, Egyptian, and Babylonian Timelines 330 $aA sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian "metric algebra," a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tab 606 $aMathematics, Greek 606 $aMathematics, Babylonian 615 0$aMathematics, Greek. 615 0$aMathematics, Babylonian. 676 $a510.938 700 $aFriberg$b Jo?ran$0756005 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784042703321 996 $aAmazing traces of a Babylonian origin in Greek mathematics$93855049 997 $aUNINA