You claimed sextants don't plot onto a sphere, I showed that yes, the math indeed takes a sextants measurements and plots it onto a sphere. This is a simple fact, the math is very clear.
You showed that math doesn't actually plot things on a sphere.
Please show where I showed math that doesn't plot data onto a sphere for a sextant. I'll quote myself earlier, saying the opposite.
You stated quite succinctly that ships do not carry spheres for charting.
You stated they carry flat charts and maps.
You wrote it, I didn't.
Why would you ask me to show you something you wrote?
If I draw a picture of you on paper does it mean you are flat?
You and I both know that I am not flat.
The reason we know this is simple.
Simply by standing in the same room, you can see that.
No such luck with the supposed globe.