メインコンテンツ | サブコンテンツ | ||||
---|---|---|---|---|---|
theorem00 | The concept of "Famous Theorems" | ||||
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 | ||||
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 |