Proclus's Commentary on the First Book of Euclid's Elements
(translated by Thomas Taylor, 1792)

Book I

• Book I., Chapter 1: On the Middle Nature of the Mathematical Essence.
• Book I., Chapter 2: Concerning the common Principles of Beings, and of the Mathematical Essence, bound and infinite.
• Book I., Chapter 3: What the common Theorems are of the Mathematical Essences.
• Book I., Chapter 4: How these Common Properties subsist, and by what Science they are considered.
• Book I., Chapter 5: What the Instrument is, which judges of the Mathematical Genera and Species.
• Book I., Chapter 6: Concerning the Essence of Mathematical Genera and Species.
• Book I., Chapter 7: What the Employments and Powers are of the Mathematical Science, and how far they extend themselves in their Energies.
• Book I., Chapter 8: Concerning the Utility of the Mathematical Science.
• Book I., Chapter 9: A Solution of an Objection raised by some against the Utility of the Mathematical Sciences.
• Book I., Chapter 10: A Solution of another Objection of certain Platonists, against the Utility of the Mathematical Sciences.
• Book I., Chapter 11.
• Book I., Chapter 12: What and how many are the Species of the whole Mathematical Science are, according to the Opinion of the Pythagoreans.
• Book I., Chapter 13: Another Division of the Mathematical Science, according to Geminus.
• Book I., Chapter 14: How Dialectic is the Top of the Mathematical Sciences, and what their Conjunction is, according to Plato.
• Book I., Chapter 15: From Whence the Name Mathematics originated.

Proclus's Commentary, Book II

• Book II., Chapter 1: What Part Geometry is of Mathematics, and what the Matter is of which it consists.
• Book II., Chapter 2: What kind of Science Geometry is.
• Book II., Chapter 3: From whence the whole of Geometry originated, how far it proceeds, and in what its Utility consists.
• Book II., Chapter 4: On the Origin of Geometry, and its Inventors
• Book II., Chapter 5: What Mathematical Volumes Euclid composed.
• Book II., Chapter 6: Concerning the Purport of Geometry.
• Book II., Chapter 7: From whence the Name of Elementary Institution originated, and why Euclid is called the Institutor of Elements.
• Book II., Chapter 8: Concerning the Order of Geometrical Discourses.
• Book II., Chapter 9: Concerning the Design of the first Book,---its Division,---and a previous Admonition to the Reader.
• Definitions

Proclus's Commentary, Book III

• BOOK III of Proclus's Commentary.
• Petitions or Postulates
• Axioms
• Proposition 1
• Proposition 2
• Proposition 3
• Proposition 4
• Proposition 5
• Proposition 6
• Proposition 7
• Proposition 8
• Proposition 9
• Proposition 10
• Proposition 11
• Proposition 12
• Proposition 13
• Proposition 14
• Proposition 15
• Proposition 16
• Proposition 17
• Proposition 18
• Proposition 19
• Proposition 20
• Proposition 21
• Proposition 22
• Proposition 23
• Proposition 24
• Proposition 25
• Proposition 26

Proclus's Commentary, Book IV

• BOOK IV of Proclus's Commentary.
• Proposition 27
• Proposition 28
• Proposition 29
• Proposition 30
• Proposition 31
• Proposition 32
• Proposition 33
• Proposition 34
• Proposition 35
• Proposition 36
• Proposition 37
• Proposition 38
• Proposition 39
• Proposition 40
• Proposition 41
• Proposition 43
• Proposition 44
• Proposition 45
• Proposition 46
• Proposition 47
• Proposition 48