References for Euclid


  1. I Bulmer-Thomas, J E Murdoch, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/topic/Euclid.aspx
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9033178/Euclid

Books:

  1. J L Berggren and R S D Thomas, Euclid's 'Phaenomena' : A translation and study of a Hellenistic treatise in spherical astronomy (Princeton, NJ, 1996).
  2. H L L Busard, The Latin translation of the Arabic version of Euclid's 'Elements' commonly ascribed to Gerard of Cremona (Leiden, 1984).
  3. H L L Busard (ed.), The Mediaeval Latin translation of Euclid's 'Elements' : Made directly from the Greek (Wiesbaden, 1987).
  4. C B Glavas, The place of Euclid in ancient and modern mathematics (Athens, 1994).
  5. D H Fowler, The mathematics of Plato's academy : a new reconstruction (Oxford, 1987).
  6. P M Fraser, Ptolemaic Alexandria (3 vols.) (Oxford, 1972).
  7. T L Heath, A history of Greek mathematics 1 (Oxford, 1931).
  8. T L Heath, The Thirteen Books of Euclid's Elements (3 Volumes) (New York, 1956).
  9. J Itard, Les livres arithmétique d'Euclide (Paris, 1962).
  10. S Ito, The medieval Latin translation of the 'Data' of Euclid (Boston, Mass., 1980).
  11. C V Jones, The influence of Aristotle in the foundation of Euclid's 'Elements' (Spanish), Mathesis. Mathesis 3 (4) (1987), 375-387 (1988).
  12. G R Morrow (ed.), A commentary on the first book of Euclid's 'Elements' (Princeton, NJ, 1992).
  13. I Mueller, Philosophy of mathematics and deductive structure in Euclid's 'Elements' (Cambridge, Mass.-London, 1981).
  14. P Schreiber, Euklid : Biographien Hervorragender Naturwissenschaftler, Techniker und Mediziner (Leipzig, 1987).
  15. H Wussing, Euclid, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983).

Articles:

  1. R C Archibald, The first translation of Euclid's elements into English and its source, Amer. Math. Monthly 57 (1950), 443-452.
  2. G Arrighi, Some indirect Latin versions of Euclid's 'Elements' (Italian), Rend. Accad. Naz. Sci. XL Mem. Mat. (5) 11 (1) (1987), 155-159.
  3. G Arrighi, Notes on Euclid's 'Elements' (Italian), in Proceedings of the Study Meeting in Memory of Giuseppe Gemignani (Modena, 1995), 87-91.
  4. B Artmann, Euclid's 'Elements' and its prehistory, in On mathematics (Edmonton, AB, 1992), 1-47.
  5. G Aujac, Le rapport 'di isou' (Euclide V, définition 17) : Définition, utilisation, transmission, Historia Math. 13 (4) (1986), 370-386.
  6. N G Bashmakova, The arithmetical books of Euclid's 'Elements' (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. (1) (1948), 296-328.
  7. J L Berggren and R S D Thomas, Mathematical astronomy in the fourth century B.C. as found in Euclid's 'Phaenomena', Physis Riv. Internaz. Storia Sci. (N.S.) 29 (1) (1992), 7-33.
  8. A C Bowen, Euclid's 'Sectio canonis' and the history of Pythagoreanism, in Science and philosophy in classical Greece (New York, 1991), 167-187.
  9. C D Brownson, Euclid's 'Optics' and its compatibility with linear perspective, Arch. Hist. Exact Sci. 24 (3) (1981), 165-194.
  10. M K Bucel', Rational numbers and quadratic irrationalities in Euclid's 'Elements' (Russian), in History and methodology of the natural sciences XIV : Mathematics, mechanics (Moscow, 1973), 60-64.
  11. H E Burton, The optics of Euclid, J. Opt. Soc. Amer. 35 (1945), 357-372.
  12. H L L Busard, The translation of the 'Elements' of Euclid from the Arabic into Latin by Hermann of Carinthia (?), Janus 54 (1967), 1-140.
  13. J Cassinet, La relation d'ordre entre rapports dans les 'éléments' d'Euclide : développements au XVIIe siècle, in Histoire de fractions, fractions d'histoire (Basel, 1992), 341-350.
  14. G de Young, The Arabic textual traditions of Euclid's 'Elements', Historia Math. 11 (2) (1984), 147-160.
  15. V M Eremina, Aristotle on transitional unprovable propositions and five general concepts of Euclid (Russian), Istor.-Mat. Issled. 32-33 (1990), 290-300.
  16. M Federspiel, Sur la définition euclidienne de la droite, in Mathématiques et philosophie de l'antiquité à l'âge classique (Paris, 1991), 115-130.
  17. E Filloy, Geometry and the axiomatic method. IV : Euclid (Spanish), Mat. Ense nanza 9 (1977), 14-21.
  18. R Fischler, A remark on Euclid II, 11, Historia Math. 6 (4) (1979), 418-422.
  19. M Folkerts, Adelard's versions of Euclid's 'Elements', in Adelard of Bath (London, 1987), 55-68.
  20. D H Fowler, An invitation to read Book X of Euclid's 'Elements', Historia Math. 19 (3) (1992), 233-264.
  21. D H Fowler, Book II of Euclid's 'Elements' and a pre-Eudoxan theory of ratio. II, Sides and diameters, Arch. Hist. Exact Sci. 26 (3) (1982), 193-209.
  22. D H Fowler, Book II of Euclid's 'Elements' and a pre-Eudoxan theory of ratio, Arch. Hist. Exact Sci. 22 (1-2) (1980), 5-36.
  23. D H Fowler, Investigating Euclid's Elements, British J. Philos. Sci. 34 (1983), 57-70.
  24. J-L Gardies, L'organisation du livre XII des 'éléments' d'Euclide et ses anomalies, Rev. Histoire Sci. 47 (2) (1994), 189-208.
  25. J-L Gardies, La proposition 14 du livre V dans l'économie des 'éléments' d'Euclide, Rev. Histoire Sci. 44 (3-4) (1991), 457-467.
  26. I Grattan-Guinness, Numbers, magnitudes, ratios, and proportions in Euclid's 'Elements' : how did he handle them?, Historia Math. 23 (4) (1996), 355-375.
  27. A W Grootendorst, Geometrical algebra in Euclid (Dutch), in Summer course 1991 : geometrical structures (Amsterdam, 1991), 1-26.
  28. H Guggenheimer, The axioms of betweenness in Euclid, Dialectica 31 (1-2) (1977), 187-192.
  29. M D Hendy, Euclid and the fundamental theorem of arithmetic, Historia Math. 2 (1975), 189-191.
  30. R Herz-Fischler, What are propositions 84 and 85 of Euclid's 'Data' all about?, Historia Math. 11 (1) (1984), 86-91.
  31. J Hjelmslev, Über Archimedes' Grössenlehre, Danske Vid. Selsk. Mat.-Fys. Medd. 25 (15) (1950).
  32. J P Hogendijk, The Arabic version of Euclid's 'On divisions', in Vestigia mathematica (Amsterdam, 1993), 143-162.
  33. J P Hogendijk, Observations on the icosahedron in Euclid's 'Elements', Historia Math. 14 (2) (1987), 175-177.
  34. J P Hogendijk, On Euclid's lost 'Porisms' and its Arabic traces, Boll. Storia Sci. Mat. 7 (1) (1987), 93-115.
  35. W R Knorr, When circles don't look like circles : an optical theorem in Euclid and Pappus, Arch. Hist. Exact Sci. 44 (4) (1992), 287-329.
  36. W R Knorr, On the principle of linear perspective in Euclid's 'Optics', Centaurus 34 (3) (1991), 193-210.
  37. W R Knorr, Euclid's tenth book : an analytic survey, Historia Sci. 29 (1985), 17-35.
  38. W Knorr, Problems in the interpretation of Greek number theory : Euclid and the 'fundamental theorem of arithmetic', Studies in Hist. and Philos. Sci. 7 (4) (1976), 353-368.
  39. W R Knorr, What Euclid meant : on the use of evidence in studying ancient mathematics, in Science and philosophy in classical Greece (New York, 1991), 119-163.
  40. K Kreith, Euclid turns to probability, Internat. J. Math. Ed. Sci. Tech. 20 (3) (1989), 345-351.
  41. P Kunitzsch, 'The peacock's tail' : on the names of some theorems of Euclid's 'Elements', in Vestigia mathematica (Amsterdam, 1993), 205-214.
  42. T Lévy, Les 'éléments' d'Euclide : le texte et son histoire, in Mathématiques- philosophie et enseignement (Yamoussoukro, 1995), 10-13.
  43. Y Z Liang and C F Yao, Tracing the origins of Euclid's 'Elements of geometry' (Chinese), Natur. Sci. J. Harbin Normal Univ. 3 (1) (1987), 94-100.
  44. D E Loomis, Euclid : rhetoric in mathematics, Philos. Math. (2) 5 (1-2) (1990), 56-72.
  45. R Lorch, Some remarks on the Arabic-Latin Euclid, in Adelard of Bath (London, 1987), 45-54.
  46. A I Markusevic, On the classification of irrationalities in Book X of Euclid's 'Elements' (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. (1) (1948), 329-342.
  47. F A Medvedev, Corniform angles in Euclid's 'Elements' and Proclus's 'Commentaries' (Russian), Istor.-Mat. Issled. 32-33 (1990), 20-34.
  48. V N Molodsii, Was Euclid a follower of Plato? (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. (2) (1949), 499-504.
  49. I Mueller, Euclid's 'Elements' and the axiomatic method, British J. Philos. Sci. 20 (1969), 289-309.
  50. I Mueller, Sur les principes des mathématiques chez Aristote et Euclide, in Mathématiques et philosophie de l'antiquité à l'âge classique (Paris, 1991), 101-113.
  51. I Mueller, On the notion of a mathematical starting point in Plato, Aristotle, and Euclid, in Science and philosophy in classical Greece (New York, 1991), 59-97.
  52. T Murata, Quelques remarques sur le Livre X des 'Eléments' d'Euclide, Historia Sci. (2) 2 (1) (1992), 51-60.
  53. T Murata, A tentative reconstruction of the formation process of Book XIII of Euclid's 'Elements', Comment. Math. Univ. St. Paul. 38 (1) (1989), 101-127.
  54. V A Ogannisjan, Euclid (Russian), Armjan. Gos. Ped. Inst. Sb. Naucn. Trud. Ser. Fiz.-Mat. Vyp. 3 (1966), 69-80.
  55. S R Palmquist, Kant on Euclid : geometry in perspective, Philos. Math. (2) 5 (1-2) (1990), 88-113.
  56. A E Raik, The tenth book of Euclid's 'Elements' (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. (1) (1948), 343-384.
  57. K Saito, Debate : Proposition 14 of Book V of the 'Elements'---a proposition that remained a local lemma. Comment on : 'Proposition 14 of Book V in the organization of Euclid's 'Elements'', Rev. Histoire Sci. 47 (2) (1994), 273-284.
  58. K Saito, Duplicate ratio in Book VI of Euclid's 'Elements', Historia Sci. (2) 3 (2) (1993), 115-135.
  59. K Saito, Compounded ratio in Euclid and Apollonius, Historia Sci. 31 (1986), 25-59.
  60. K Saito, Book II of Euclid's 'Elements' in the light of the theory of conic sections, Historia Sci. 28 (1985), 31-60.
  61. P Schreiber,Euklid und die 'Elemente' aus heutiger Sicht, Mitt. Math. Ges. DDR 1 (1984), 71-82.
  62. A Seidenberg, Did Euclid's 'Elements, Book I,' develop geometry axiomatically?, Arch. History Exact Sci. 14 (4) (1975), 263-295.
  63. G Simon, Aux origines de la théorie des miroirs : sur l'authenticité de la 'Catoptrique' d'Euclide, Rev. Histoire Sci. 47 (2) (1994), 259-272.
  64. E I Slavutin, Euclid's 'Data' (Russian), Istor.-Mat. Issled. Vyp. 22 (1977), 229-236, 303.
  65. A Szab, The origins of Euclid's terminology. I (Hungarian), Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 10 (1960), 441-468.
  66. A Szabo, Ein Satz über die mittlere Proportionale bei Euklid (Elem. III 36), Comment. Math. Univ. St. Paul. 39 (1) (1990), 41-51.
  67. A Szabo, Euclid's terms in the foundations of mathematics. II (Hungarian), Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 11 (1961), 1-46.
  68. C M Taisbak, Zeuthen and Euclid's 'Data' 86 algebra - or A lemma about intersecting hyperbolas?, Centaurus 38 (2-3) (1996), 122-139.
  69. C M Taisbak, Elements of Euclid's 'Data', in On mathematics (Edmonton, AB, 1992), 135-171.
  70. W Theisen, Euclid, relativity, and sailing, Historia Math. 11 (1) (1984), 81-85.
  71. W Theisen, A note on John of Beaumont's version of Euclid's 'De visu', British J. Hist. Sci. 11 (38, 2) (1978), 151-155.
  72. R Tobin, Ancient perspective and Euclid's 'Optics', J. Warburg Courtauld Inst. 53 (1990), 14-41.
  73. G Toussaint, A new glance at Euclid's second proposition (Spanish), Mathesis 9 (3) (1993), 265-294.
  74. G Toussaint, A new look at Euclid's second proposition, Math. Intelligencer 15 (3) (1993), 12-23.
  75. B Vahabzadeh, Two commentaries on Euclid's definition of proportional magnitudes, Arabic Sci. Philos. 4 (1) (1994), 181-198.
  76. G Valabrega Elda, A hypothesis on the origin of Euclid's geometric algebra (Italian), Boll. Un. Mat. Ital. A (5) 16 (1) (1979), 190-200.
  77. B Vitrac, La Définition V.8 des 'éléments' d'Euclide, Centaurus 38 (2-3) (1996), 97-121.
  78. R J Wagner, Euclid's intended interpretation of superposition, Historia Math. 10 (1) (1983), 63-70.
  79. A Weil, Who betrayed Euclid? : Extract from a letter to the editor, Arch. History Exact Sci. 19 (2) (1978/79), 91-93.
  80. M Ya Vygodskii, Euclid's 'Elements' (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. (1) (1948), 217-295.

January 1999


MacTutor History of Mathematics
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