メインコンテンツ | サブコンテンツ | ||||
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theorem00 | The concept of "Famous Theorems"
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theorem01 | Theorem of Morley
| Exproring feature | Content of theorem | ||

theorem02 | Mid points theorem
| Content of theorem | Understaing with track | Understanding with measurement Let's move point A. What do you find? L... | Clue for proof |

Related figure | |||||

theorem03 | Theorem of incribed angles
| Special case | Combination of special cases | Understanding with measurement | Understanding with the other cases |

theorem04 | Pythagolean theorem
| Conjecture | Measurement (Area of squares) | measurement (Length of sides) | Euclidean additional line and measurement |

Euclidean additional line and "which case the relationship does not exist" | Congruence of triangles | ||||

theorem05 | Pappus' theorem
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theorem06 | 方べきの定理
| Transformation and conjecture | Measurement and conjecture | Specialize and conjecture | Confirm |

Triangle and proof (1) | Generalization and clasification | Triangle and proof (2) | Triangle and proof (3) | ||

theorem07 | Simson's theorem
| What is the feature | Confirm the different cases | See as the relationship between three points | See as the transformation of triangle |

See as the change of the area of triangle | Maximum of the area of triangle | Area of triangle and circumcenter | Area of triangle and circle | ||

theorem08 | Menelaus' theorem
| Observation and conjecture | Observation and confirm | Observation | |

theorem09 | Cheva's theorem
| Observation and conjecture | Observation and confirm | Observation | |

theorem10 | Desargues' theorem
| Observation and conjecture | Secret of three points | Relationship of three points | Different cases |

theorem11 | Euler line
| Observation and conjecture | Observation and conjecture | Observation and conjecture | |

theorem12 | Newton's theorem (Newton's line)
| Observation and conjecture | Observation and conjecture | ||

theorem13 | Newton's theorem
| Observation and conjecture | Observation and conjecture | ||

theorem14 | Pappus' theorem
| Observation and conjecture | Observation and conjecture | Observation and conjecture | This is not enough |

theorem15 | Pascal's theorem
| Observation and conjecture | Observation and conjecture | Observation and conjecture | This is not enough |

theorem16 | Feuerbach's theorem
| Four circles | This circle | Feature of circle (1): Three points circle | Feature of circle (2): Three points circle |

Six points circle | Nine points circle |