SCRIPTURA

Classical Greek

Elements · Στοιχεῖα

Euclid

Translated by Thomas Little Heath

The thirteen books of geometry and number theory that taught mathematics for two thousand years, from the definition of a point to the five regular solids.

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  • Greek: ed. Johan Ludvig Heiberg, from the Perseus Digital Library (canonical-greekLit, tlg1799.tlg001, CC BY-SA 4.0).
  • English: Thomas Little Heath, from the Perseus Digital Library (tlg1799.tlg001.perseus-eng2). Notes are not included.
  • Rows follow the references the two texts share (books, chapters and sections), cut where both reach the end of a sentence.

Contents · 49

  1. 1Book I · Definitions
  2. 2Book I · Postulates
  3. 3Book I · Common Notions
  4. 4Book I · Propositions · 1–17
  5. 5Book I · Propositions · 18–33
  6. 6Book I · Propositions · 34–48
  7. 7Book II · Definitions
  8. 8Book II · Propositions · 1–8
  9. 9Book II · Propositions · 9–14
  10. 10Book III · Definitions
  11. 11Book III · Propositions · 1–13
  12. 12Book III · Propositions · 14–27
  13. 13Book III · Propositions · 28–37
  14. 14Book IV · Definitions
  15. 15Book IV · Propositions · 1–10
  16. 16Book IV · Propositions · 11–16
  17. 17Book V · Definitions
  18. 18Book V · Propositions · 1–13
  19. 19Book V · Propositions · 14–25
  20. 20Book VI · Definitions
  21. 21Book VI · Propositions · 2–14
  22. 22Book VI · Propositions · 15–22
  23. 23Book VI · Propositions · 23–33
  24. 24Book VII · Definitions
  25. 25Book VII · Propositions · 1–19
  26. 26Book VII · Propositions · 20–39
  27. 27Book VIII · Propositions · 1–11
  28. 28Book VIII · Propositions · 12–27
  29. 29Book IX · Propositions · 1–15
  30. 30Book IX · Propositions · 16–36
  31. 31Book XI · Definitions · 10
  32. 32Book XI · Definitions · 10
  33. 33Book XI · Definitions · 10
  34. 34Book XI · Definitions · 10
  35. 35Book XI · Definitions · 10
  36. 36Book XI · Definitions · 10
  37. 37Book XI · Definitions · 10
  38. 38Book XI · Definitions · 10
  39. 39Book XI · Definitions · 10–28
  40. 40Book XI · Propositions · 1–17
  41. 41Book XI · Propositions · 18–27
  42. 42Book XI · Propositions · 28–35
  43. 43Book XI · Propositions · 36–39
  44. 44Book XII · Propositions · 4–10
  45. 45Book XII · Propositions · 10–13
  46. 46Book XII · Propositions · 14–18
  47. 47Book XIII · Propositions · 2–11
  48. 48Book XIII · Propositions · 12–16
  49. 49Book XIII · Propositions · 16–18