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# Famous Theorems

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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

Forum of Gemetric Constructor by Y.Iijima