Скачать или смотреть Projective Morphology 8: Curves of the Second Order

How to draw a curve with a straight edge. By pure synthetic morphology without any measurement, you can construct a conic. You can plot it point by point, or wrap it tangent by tangent.

Drawing the exercises yourself is recommended. Large sheets of paper are recommended.

This presentation is part of a series:
1 Polarity    • Projective Morphology 1:  Polarity  
2 The Infinitely Distant    • Projective Morphology 2:  The Infinitely D...  
3 Metamorphosis    • Projective Morphology 3:  Metamorphosis  
4 Desargues's Triangle Theorem    • Projective Morphology 4:  Desargues's Tria...  
5 Harmonic Conjugates    • Projective Morphology 5:  Harmonic Conjugates  
6 The Fundamental Harmonic Figure    • Projective Morphology 6:  The Fundamental ...  
7 Perspective and Projection    • Projective Morphology 7:  Perspective and ...  
Interlude    • Projective Morphology:  Interlude  
8 Curves of the Second Order    • Projective Morphology 8:  Curves of the Se...  
9 Proof of Steiner    • Projective Morphology 9:  Proof of Steiner  
10 Conic Sections    • Projective Morphology 10:  Conic Sections  
11 The Theorems of Pascal and Brianchon    • Projective Morphology 11:  The Theorems of...  
12 Pole and Polar    • Projective Morphology 12:  Pole and Polar  
13 Inversion    • Projective Morphology 13:  Inversion  
14 Progression and Involution    • Projective Morphology 14:  Progression and...  
15 The Imaginary    • Projective Morphology 15:  The Imaginary  
16 Counterspace    • Projective Morphology 16:  Counterspace  
The Human Skeleton    • Projective Morphology Applied:  The Human ...  

Other topics: conic sections, degenerate conics, Pascal line, Brianchon point, Desargues's Triangle Theorem, Jakob Steiner, Angelo Rovida, Heinrich Pestalozzi, Alexander von Humboldt, Wilhelm von Humboldt