You mean straight lines like these?
Again, provide an orthographic projection, without showing the effect of rotation.
Can you do that? Or can you only lying like the lying scum you are?
This pic is from my reference:
Yes. Notice how it shows an orthographic projection of the round Earth where it does not consider rotation.
Notice how in this projection, the path of the shadow is a straight line?
Here is a zoomed in portion just so you can really focus:
Notice how the path of the shadow of the moon is a straight line in this orthographic projection of the round Earth?
Yes, when you map this to the surface of the round Earth it is a curve.
When you account for the rotation of Earth, and how this mapping has to change with time to account for that rotation, you can get much more complex curves.
But again, the important point is that in this fundamental plane, the path of the shadow is basically a straight line.
The reference makes it clear, the curvature is insignificant.
That azimuthal projection you are appealing to is NOT the fundamental plane.
So if you are saying the fundamental plane is a FE map, then you are saying the FE should have a straight line for the eclipse.
Is that what you want to say? Because that is saying the FE is entirely wrong.
The fundamental plane can have no straight lines (the paths of the shadows of the moon).
Proof:
From Buchanan's treatise:
The line connecting these latter points is the path of the centre of the shadow across the fundamental plane. This line is a curve, but of very slight curvature.
You mean proof you are lying scum?
That quote is saying that technically it is curved, but the curve is so slight it is basically a straight line.
Compare that to your arcs, which have obvious and significant curvature.
Compare that to your reference, which has similar arcs in figure 3, which is clearly described as a projection of a portion of the northern hemisphere (note RE again) on a plane which is perpendicular to the Earth's axis.
That's the fundamental plane
No, it isn't.
Again, it is trivial to see that it is not by comparing it to the quote describing the fundamental plane, and by the quote above which shows clearly that such curves are not expected in the fundamental plane.
It has a radius of 6,363.63 km, and you are telling your readers they are not the same or that it is not the FE map?
Yes, because they are not.
Conversely, you, being the lying scum you are, are telling everyone they are the same.
What is your basis for saying they are the same? The word "plane"
I guess you think the Mercator projection is also the FE map, because it is a projection onto a plane.
The problem with such delusional BS, is that it would produce multiple contradictory maps, which can't all be true.
There are no straight lines in the fundamental plane as it pertains to the paths of the shadows.
Again, your own reference clearly indicates that the curvature is insigifnicant.
So this BS of yours disqualifies your analysis, not mine.
"In this method the observer is supposed to be stationed in the sun and to look down on the rotating earth while the moon with its concentric umbra and penumbra is moving across it."
The Bessel fundamental plane is GEOCENTRIC. FIXED. STATIONARY. You can't have the fundamental plane rotating.
Yet here we have the quote from the reference clearly indicating the observed is stationed in the sun.
That does not sound geocentric at all.
As for rotating, again, the fundamental plane doesn't rotate. The apply the effect of rotation at a later stage.
The first stage is to construct the fundamental plane. You then plot the path of the eclipse on that fundamental plane.
You then project that onto the surface of a round rotating Earth, including taking the rotation into consideration which means the time of the moon's shadow being in a certain location needs to be taken into account.
Again, you disqualify your own analysis, I don't have to do anything.
You mean you just repeatedly lie, while entirely ignoring the quotes from the references which show you are lying.
You cannot show any fault with my analysis so you resort to these pathetic lies.
Likewise, you refuse to answer my questions because they so clearly show you are lying scum.
The fundamental plane is a flat surface, geocentric as well, on which the shadows of the "moon" are drawn. Same azimuthal map as that of Oppolzer
Repeating this lie will not save you.
It just further demonstrates your dishonesty.
Again, the image you are appealing to shows you are lying to everyone.
It clearly shows this fundamental plane based upon a RE, passing through the centre of Earth and crossing the equatorial plane.
If it was a FE model, with the fundamental plane being the FE map, it would have that fundamental plane be the equatorial plane, not at an angle to it.
Yet again, your own reference shows you are lying to everyone.
How many times do we have to go through this?
No one is asking you to repeat the same refuted BS.
What you actually need to do is try to justify your BS.
Can you find a single reference which describes the map of Oppolzer, or a comparable map as the fundamental plane?
NO!
Can you find a single reference discussing this clearly RE method, as a FE method? And no, your own dishonest ramblings is not a reference.
Can you find a single reference claiming this fundamental plane is perpendicular to the north pole or Earth's axis or parallel to the equatorial plane?
Can you find a single reference clearly describing the path of an eclipse in the fundamental plane and ideally showing its path. So far the best you have appears to show it is a straight line, or a line with insignificant curvature.
Or, can you actually answer the question you continue to avoid because you know answering them will make it trivial to show everyone you are lying scum by showing what is actually expected for the FE model?
Either way, stop thinking of this as "how many times to go through this". Stop spamming the same refuted BS. Actually start dealing with what has been said.