This subsection is dedicated to the propositions of Book 2 of “Euclid’s Elements”.

- Proposition: 2.01: Summing Areas or Rectangles
- Proposition: 2.02: Square is Sum of Two Rectangles
- Proposition: 2.03: Rectangle is Sum of Square and Rectangle
- Proposition: 2.04: Square of Sum
- Proposition: 2.05: Rectangle is Difference of Two Squares
- Proposition: 2.06: Square of Sum with One Halved Summand
- Proposition: 2.07: Sum of Squares
- Proposition: 2.08: Square of Sum with One Doubled Summand
- Proposition: 2.09: Sum of Squares of Sum and Difference
- Proposition: 2.10: Sum of Squares (Half)
- Proposition: 2.11: Constructing the Golden Ratio of a Segment
- Proposition: 2.12: Law of Cosines (for Obtuse Angles)
- Proposition: 2.13: Law of Cosines (for Acute Angles)
- Proposition: 2.14: Constructing a Square from a Rectilinear Figure