UnivHypGeom7a: The circle and projective homogeneous coordinates

[madier1000]

Thank you for such lecture. This provides some insights that are very helpful

[EmptySpaceEnterprise]

Projective Geometry: Affine and projective geometry @00:23

Perspective and points at infinity @08:00

example of affine vs projective view @13:11

One dimensional geometry as starting point @17:48

affine space and vector space @22:30

page change @22:28

One dimensional projective geometry @26:27

page change @31:04

[brangelito]

I appreciated this. Thank you!

[peterhi503]

Wildberger, I've watched all of your videos, and this is among the best. Keep up the great work, chap.

[njwildberger]

Hi peterhi503

Thanks for the comment. Probably you deserve some kind of award for putting up with me for so long!

[Absomet]

Beautiful!



[grichard24]

I'm wondering if the projective line could also be called a "projective pencil" since it appears to be identical to a pencil fo lines.

[njwildberger]

Hi grichard24

I suppose we could use that terminology, but calling it a projective line, or as we shall do later a hyperbolic line, or in fact just ``a line'', connects more naturally with our usual 2 dim picture, in which it appears just as an ordinary line (in almost all cases).