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BookI["Book I\nFoundation"]
Def1["Def. II.1\nRectangle contained by two strai..."]
Def2["Def. II.2\nGnomon: parallelogram about diam..."]
Prop1["Prop. II.1\nRectangle = sum of rectangles"]
Prop2["Prop. II.2\nSum of rectangles = square on whole"]
Prop3["Prop. II.3\nRectangle = rectangle + square"]
Prop4["Prop. II.4\nSquare on whole = squares + 2×rectangle"]
Prop5["Prop. II.5\nUnequal segments: rectangle + square = square on half"]
Prop6["Prop. II.6\nBisected + added: rectangle + square = square"]
Prop7["Prop. II.7\nSquare on whole + square on segment"]
Prop8["Prop. II.8\nFour times rectangle + square"]
Prop9["Prop. II.9\nUnequal segments: sum of squares"]
Prop10["Prop. II.10\nBisected + added: sum of squares"]
Prop11["Prop. II.11\nCut line: rectangle = square (golden section)"]
Prop12["Prop. II.12\nObtuse triangle: law of cosines"]
Prop13["Prop. II.13\nAcute triangle: law of cosines"]
Prop14["Prop. II.14\nConstruct square = rectilinear figure"]
BookI --> Prop1
Def1 --> Prop1
BookI --> Prop2
Def1 --> Prop2
BookI --> Prop3
Def1 --> Prop3
BookI --> Prop4
Def1 --> Prop4
BookI --> Prop5
Def1 --> Prop5
Def2 --> Prop5
BookI --> Prop6
Def1 --> Prop6
Def2 --> Prop6
BookI --> Prop7
Def1 --> Prop7
BookI --> Prop8
Def1 --> Prop8
BookI --> Prop9
Def1 --> Prop9
BookI --> Prop10
Def1 --> Prop10
BookI --> Prop11
Prop6 --> Prop11
BookI --> Prop12
Prop4 --> Prop12
BookI --> Prop13
Prop7 --> Prop13
BookI --> Prop14
Prop5 --> Prop14
classDef foundation fill:#95a5a6,color:#fff,stroke:#7f8c8d
classDef definition fill:#3498db,color:#fff,stroke:#2980b9
classDef proposition fill:#1abc9c,color:#fff,stroke:#16a085
class BookI foundation
class Def1,Def2 definition
class Prop1,Prop2,Prop3,Prop4,Prop5,Prop6,Prop7,Prop8,Prop9,Prop10,Prop11,Prop12,Prop13,Prop14 proposition |