Projective Morphology 12:  Pole and Polar
Channel: Daniel Hafner
Date: 2021-01-28

A conic section can also be seen as an harmonic locus.  This lets you construct tangents to a conic section with nothing but a straight edge.

Familiarity with harmonic conjugates is presupposed.

Sorry if some of the pictures appear too briefly.

This presentation is part of a series:
     1 Polarity  https://youtu.be/1xcRJdxgKuU
     2 The Infinitely Distant  https://youtu.be/nlKTRYDBi1Q
     3 Metamorphosis  https://youtu.be/mW705pKwUvo
     4 Desargues's Triangle Theorem  https://youtu.be/S9uJbCtc1IM
     5 Harmonic Conjugates  https://youtu.be/9dSysBCjMtQ
     6 The Fundamental Harmonic Figure  https://youtu.be/xM__3Rv21BY
     7 Perspective and Projection  https://youtu.be/exly1JXIGSM
     Interlude  https://youtu.be/Us3Hj_CBhBU
     8 Curves of the Second Order  https://youtu.be/gMvsutuNTGg
     9 Proof of Steiner  https://youtu.be/g5CocUQwdbc
     10 Conic Sections  https://youtu.be/m-3Dt-NDMQ0
     11 The Theorems of Pascal and Brianchon  https://youtu.be/Y8mf3gP5tCg
     12 Pole and Polar  https://youtu.be/6DN5ahPHG_Y
     13 Inversion  https://youtu.be/YueFf2XFmXE
     14 Progression and Involution  https://youtu.be/gEJsKXVM0Bk
     15 The Imaginary  https://youtu.be/paKMtN0c6bw
     16 Counterspace  https://youtu.be/hY0ETd75IjM
     The Human Skeleton  https://youtu.be/JzLMQVCjg24

Other topics:  projective geometry, synthetic geometry