flat, page-620

"Why can't you get angles from a curved surface?"

Ummm, an angle is two straight lines meeting at a vertex. That's why. This is fundamental stuff.

"If you slice through the surface of a sphere, you will get different sized cross-sections..."

Yes you would, and the cross sections would all be FLAT.

So then you would be measuring angles from a flat baseline?

Yes, that's what I have been saying all along.

But nobody is cutting up sphere earths like oranges and measuring angles to stars.

We measure the angles from the surface, so the surface must be flat.

Don't shoot the messenger.