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" | ||||
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 ![]() |