LEADER 03694nam 22007095 450 001 9910595056903321 005 20230810175825.0 010 $a3-031-11538-4 024 7 $a10.1007/978-3-031-11538-7 035 $a(MiAaPQ)EBC7084517 035 $a(Au-PeEL)EBL7084517 035 $a(CKB)24819657400041 035 $a(DE-He213)978-3-031-11538-7 035 $a(EXLCZ)9924819657400041 100 $a20220912d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBritish Versions of Book II of Euclid?s Elements: Geometry, Arithmetic, Algebra (1550?1750) /$fby Leo Corry 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (79 pages) 225 1 $aSpringerBriefs in History of Science and Technology,$x2211-4572 311 08$a3-031-11537-6 320 $aIncludes bibliographical references and index. 327 $a1. Introduction: Euclidean Background -- 2. The Main Figures: From Recorde to Wallis and Barrow -- 3. Some Lesser-known Figures -- 4. Summary and Concluding Remarks -- 5. References. 330 $aThis book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley?s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow?s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales? French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general. 410 0$aSpringerBriefs in History of Science and Technology,$x2211-4572 606 $aScience$xHistory 606 $aLogic 606 $aGeometry, Algebraic 606 $aComputer arithmetic and logic units 606 $aHistoriography 606 $aHistory$xMethodology 606 $aHistory of Science 606 $aLogic 606 $aAlgebraic Geometry 606 $aArithmetic and Logic Structures 606 $aHistoriography and Method 615 0$aScience$xHistory. 615 0$aLogic. 615 0$aGeometry, Algebraic. 615 0$aComputer arithmetic and logic units. 615 0$aHistoriography. 615 0$aHistory$xMethodology. 615 14$aHistory of Science. 615 24$aLogic. 615 24$aAlgebraic Geometry. 615 24$aArithmetic and Logic Structures. 615 24$aHistoriography and Method. 676 $a516.22 676 $a516.2094109031 700 $aCorry$b Leo$0621465 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910595056903321 996 $aBritish Versions of Book II of Euclid?s Elements: Geometry, Arithmetic, Algebra (1550?1750)$93564209 997 $aUNINA