Key: (to avoid repeating myself and condense; nothing new is being stated in the KEY)
OP = Orthographic Projection
Point 1/2 = Parrallel lines converge due to perspective.
FOV: Field of View
This is going to be long, so I'm working on explaining it in a youtube video. Funny (for me at least) I am typing this up on September 30, 2016; the day before Obama hands over the internet ICANN to international corporations and countries... so RIP internet, it was fun without censorship. Heregoes...Totes, Great well written response, thanks; I think I get it better now, though I still take issue. The 2 images posted take into consideration perspective, with a caveat; in order to achieve the perspective of the
OP 'side view' (the top image), you must be an impossible/unachievable distance away -
Tom's - and partially, my - argument. Thanks for that response, your 3 recent topics here were 3 of my FE favorites prior to your posting them, as I put rather pathetically
previously when I anticipated the SCP one the day before you posted it; these 3 recent topics (
SCP,
Perspective/Sun,
Southern Hemisphere December) are really one and the same issue, just seen 'from different angles'
xD lol
That said, I really don't know much about angles. My experience comes largely from simulated planes (video games), as mentioned above, I admit. From what I can tell, no new info is presented here, other than the mechanics of angles and perspective being more elaborated on. Which you do an honorable effort of, and somewhat improves my opinion of academic institutions everywhere.
SO lets get into the Meat (hopefully no hot potatoes slip in) of this post:
1. Parallel lines are parallel.
2.
Parallel lines converge due to perspective;
even those in a OP diagram, if drawn to 'infinity'.
3. We only see objects, at best, a few hundred miles in any direction at best from anywhere on Earth (
FoV). Caveat: the sun and stars (more on this later).
4. The FE sun is ~3,000 miles above the Earth.
5. It is impossible to demonstrate perspective of 1-4 within the
FoV of 3.
6. My 'few hundred' miles is quite generous. I have seen images where islands or mountains are visible over 125 miles away, but
many sources cite 50-100 miles as the 'limit' of or
FoV (
2), (
3). With Cameras/telescopes it is notably possible to see much further, ofc.
7. The image presented here has many flaws:
7a) Distance. 3,000 miles to the sun; this image covers many times that; over 12,000 miles; over half the actual equatorial distance.
7b) The perspective, viewing the sun traveling 'parallel' with the Earth, is impossible to achieve.
7c) The sun doesn't move in a straight line as depicted here on the FE model, but rotates East to West (clockwise as viewed from North Pole).
7d) The Orthographic Projection here does not accurately demonstrate the convergence of parallel lines; the top image is an impossible 'god's eye' perspective, for one; and for two, if you trace converging lines, they converge a great distance before 12,000 miles away; what the image here is depicting.
8 ) You can't understand the rest of this post without watching this (brief) youtube video.
You get the point from the video now? Okay...
At least, that is what I think
Tom means about 'infinities' is that the image presented here is an impossible 'infinity' away from what we observe, looking at our observation on the FE model. Alternatively, there is also an 'infinity' in an
OP as the sun gets 'further and further' away (a great point against the flat Earth, and what this topic was started to point out, and
Tom and myself realize that, no one is arguing). But as stated above, we can't see anything beyond ~50-140 miles from the surface Earth (more on that later). But the mechanics here don't work, as the sun has to start coming back 'the other way' somewhere in the neighborhood of 12k-18k out on FE model (this is where I don't know the FE model well enough, but we can at least agree the sun doesn't literally travel in a straight line forever - well, you could, technically, but you'd have to create a whole other model for that).
So, lets look at the image. The common Flat Earth model shows the sun as being ~3,000 miles above the surface. This image illustrates an impossible phenomenon then (
point 1 above); as
Tom Bishop has already stated;
no man has ever seen more than a few hundred miles in any direction; and the sun 'sets' either
long before reaching, or
as it reaches, that point. What
Tom is saying here, is it is impossible to attain the perspective in that image, observing an observer observing the sun moving parallel to the ground, in a
clockwise circle/spiral, not a straight line as depicted here. Illustration: (yes I borrowed it again sorry)
So, that image is not applicable to our observations; look at the 'ground' beneath the Red, Orange, and Yellow 'dot' or 'ball'; it is much farther than the distance from the ground to them; thus
more than 3 thousand miles (even the globe states the circumference at the equator to be no more than 25,000 miles). I'll call this
Point 3 for now. Keep in mind that half the circumference is roughly 12,300 miles; the limit of 'globular perspective', before the 'curve' is on 'the other side of the globe'. For FE, this represents approximately one-half the equatorial circle. The commonly agreed-upon 3,000 miles to the sun on Flat Earth is outmatched by the ground covered no matter how it is calculated; and
Point 2, parallel lines converge due to perspective (assuming the sun moves parallel to the Earth in FE model). This image is WAAAAY out of proportion. The equator is only 12k miles across; this image goes way further! Up to 18k! The sun is going the other way at that point.
With that ridiculous 20k mile perspective taken into consideration, the line would be more like this:
Again that is generous at best.... as there is no way for us to know what a 20k mile line would look like, let alone 2 parallel ones, from being sandwiched between them.
Now, just as
p-brane did, obviously your image is not meant to be to scale. But again, as
Tom said, this 'several thousand mile perspective' is simply impossible. So, lets look at some common blueprints instead, which use
principles of orthographic projection, and compare the actual buildings to the blueprints.
In this image the lines are parallel. But stand at the foot of the building to the left or right, and the roof and floor 'lines' will be 'converging', like
this.
Alternatively....
Uh ooh... the parallel lines of the blueprints... converge... in reality...
while the lines are drawn perfectly parallel in a schematic, you can't stop them from converging due to perspective, try as you may; esp. if you
continue the line indefinitely; yes, it stays 'parallel' in reality, but
it is impossible to see from any point (when continued 'indefinitely') without a 'god's eye view'; even navigating the parallel lines, from every point within it, they appear to converge.
No amount of equations can defy that, though they may serve as a red herring to those unable to understand.
Additionally, maybe you can call the 'few hundred mile'
FoV the 'Earth's curvature', but the higher you go, the wider the
FoV gets, so there's that as well...
Anyway I'm no shill or whatever so I have no
angle other than perhaps too much time on my hands. This is a very good topic, I hope I don't insult with my lack of understanding; this is just what I've posted based on how I think I understand it... I could be wrong, but it seems right to me.