I sent you plenty of proofs that the circles are magnified but stay circular in the other message. Take the video and go to 10:10 for example. Sadly it’s not animated, which the video I remember was. But it does show an arbitrary off-axis circle that still is mapped to a (much larger and further out) circle.
Wichtig: Die Kreistreue gilt generell nur für die Kreislinie. Der Mittelpunkt des Objektkreises wird z. B. nicht als Mittelpunkt des Bildkreises abgebildet. Hiervon sind nur die Fälle, bei denen der Kreiskegel gerade ist, ausgenommen.
Important: The circle fidelity generally only applies to the circle line. The centre of the object circle, for example, is not depicted as the centre of the image circle. The only exceptions to this are cases where the cone of the circle is straight.
Exactly, unless it’s the cone of the circle is straight, i.e. the circle is around the (north) pole, the centers of the circles on the globe and on the map aren’t identical.
I sent you plenty of proofs that the circles are magnified but stay circular in the other message. Take the video and go to 10:10 for example. Sadly it’s not animated, which the video I remember was. But it does show an arbitrary off-axis circle that still is mapped to a (much larger and further out) circle.
I get it now. The German Wikipedia article contains an explanation of my missconception:
Great that’s cleared up. This is saying the center-points differ between the globe and the projection? That would match my expectations too.
Exactly, unless it’s the cone of the circle is straight, i.e. the circle is around the (north) pole, the centers of the circles on the globe and on the map aren’t identical.