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euclid-elements-book-ii.mmd54 linesDownload Raw Back to data
1graph TD2    BookI["Book I\nFoundation"]3    Def1["Def. II.1\nRectangle contained by two strai..."]4    Def2["Def. II.2\nGnomon: parallelogram about diam..."]5    Prop1["Prop. II.1\nRectangle = sum of rectangles"]6    Prop2["Prop. II.2\nSum of rectangles = square on whole"]7    Prop3["Prop. II.3\nRectangle = rectangle + square"]8    Prop4["Prop. II.4\nSquare on whole = squares + 2×rectangle"]9    Prop5["Prop. II.5\nUnequal segments: rectangle + square = square on half"]10    Prop6["Prop. II.6\nBisected + added: rectangle + square = square"]11    Prop7["Prop. II.7\nSquare on whole + square on segment"]12    Prop8["Prop. II.8\nFour times rectangle + square"]13    Prop9["Prop. II.9\nUnequal segments: sum of squares"]14    Prop10["Prop. II.10\nBisected + added: sum of squares"]15    Prop11["Prop. II.11\nCut line: rectangle = square (golden section)"]16    Prop12["Prop. II.12\nObtuse triangle: law of cosines"]17    Prop13["Prop. II.13\nAcute triangle: law of cosines"]18    Prop14["Prop. II.14\nConstruct square = rectilinear figure"]19    BookI --> Prop120    Def1 --> Prop121    BookI --> Prop222    Def1 --> Prop223    BookI --> Prop324    Def1 --> Prop325    BookI --> Prop426    Def1 --> Prop427    BookI --> Prop528    Def1 --> Prop529    Def2 --> Prop530    BookI --> Prop631    Def1 --> Prop632    Def2 --> Prop633    BookI --> Prop734    Def1 --> Prop735    BookI --> Prop836    Def1 --> Prop837    BookI --> Prop938    Def1 --> Prop939    BookI --> Prop1040    Def1 --> Prop1041    BookI --> Prop1142    Prop6 --> Prop1143    BookI --> Prop1244    Prop4 --> Prop1245    BookI --> Prop1346    Prop7 --> Prop1347    BookI --> Prop1448    Prop5 --> Prop1449    classDef foundation fill:#95a5a6,color:#fff,stroke:#7f8c8d50    classDef definition fill:#3498db,color:#fff,stroke:#2980b951    classDef proposition fill:#1abc9c,color:#fff,stroke:#16a08552    class BookI foundation53    class Def1,Def2 definition54    class Prop1,Prop2,Prop3,Prop4,Prop5,Prop6,Prop7,Prop8,Prop9,Prop10,Prop11,Prop12,Prop13,Prop14 proposition