Book:Euclid/The Elements/Book II
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Euclid: The Elements: Book II
Published $\text {c. 300 B.C.E}$
Contents
Book $\text{II}$: Geometrical Algebra
- Proposition $1$: Real Multiplication Distributes over Addition
- Proposition $2$: Square is Sum of Two Rectangles
- Proposition $3$: Rectangle is Sum of Square and Rectangle
- Proposition $4$: Square of Sum
- Proposition $5$: Difference of Two Squares
- Proposition $6$: Square of Sum less Square
- Proposition $7$: Square of Difference
- Proposition $8$: Square of Sum with Double
- Proposition $9$: Sum of Squares of Sum and Difference (1)
- Proposition $10$: Sum of Squares of Sum and Difference (2)
- Proposition $11$: Construction of Square equal to Rectangle
- Proposition $12$: Relative Sizes of Sides of Obtuse Triangle
- Proposition $13$: Relative Sizes of Sides of Acute Triangle
- Proposition $14$: Construction of Square equal to Given Polygon