Google maps, regardless of its visual representation, is a flat plane with no positive curve whatsoever. NASA's Spherical system is completely untenable from a navigational perspective, being as we don't live on a planet.
good it shows you have a functioning brain. One could EASILY place a plane and its attendant circle between W Palm ( Boca has no International airport)and Manila or any other place
What would be the best device to measure this in the real world? And fwiw, this is spherical trigonometry not "spherical geometry" as there are no Euclidean straight lines in "spherical geometry."
I still dont understand... The curve is already counted in on a flat projection of the earth.. thats why continents and states are distorted. So wouldnt that mean that the shortest path on a flat projection of the earth would be a straight line...
Sailors have always used plane geometry, excepting the ones who got lost. the Sea is 'level and longitude lines grow further apart the further south the latitude. Great Circle sailing is a completely bogus application. Earth is not a planet, much less a globe.
The term he used was antipodal points. 'In mathematics, antipodal points of a sphere are those diametrically opposite to each other (the specific qualities of such a definition are that a line drawn from the one to the other passes through the center of the sphere so forms a true diameter).[1] This term applies to opposite points on a circle or any n-sphere.'
All flight planning software uses an ellipsoid (like WGS 84) and a hundred thousand flights per day arrive at their destination. So I'd say that the predictions of spherical/ellipsoidal geometry as it relates to the Earth have been verified literally millions of times.
If you are actually suggesting planes navigate using spherical geometry and the Great Circle, that flies in the face of reality. Planes use the polar coordinate system, which is cartesian in nature, just with zero at the center point directly under Polaris. Earth is not a planet, to begin with, and certainly all patents for aircraft are based on a fixed plane, i.e. flat earth. So you are lying to yourself and living a total fantasy if you think aircraft follow a curved path of any sort. The path is curved because the maps are curved. Look at the flight path on an Azimuthal Equidistant map and you will see its a strait line over a level plane.
@@haven216 How so? polar coordinates have the north pole at the center of an x,y,z axis with everything in the positive y quadrants above sea level. Spherical and cartesian coordinates are the same things in this sense.
Mindless flattard garbage. The distance from Johannesburg to Sydney is 12000km. Direct flights between the two cities are conducted weekly. On a moronic flat earth the straight line distance is more than 23000km. There is no commercial aircraft capable of revenue flight across that distance. You flattards suck at basic geometry.
@@TruckerCarlson- congratulations, you are 100% incorrect. In a three dimensional Polar coordinate system, points are defined by a distance from the origin and two angles from two reference planes (usually orthogonal) which is completely different from a Cartesian coordinate system where points are defined by three distances from the origin along three (usually orthogonal) reference planes.
“Planes use the polar coordinate system, which is Cartesian in nature”... This is hilarious to anyone who has studied anything more than the most basic geometry.
Um it's either a line or it ain't. Calling circles lines is just BS. To me this proves that the earth is flat after all and I dont need mental gymnastics to try to show otherwise.
My understanding that has been that Euclid was doing his geometry on a 2-d plane and that it wasn't until Gauss measured the region around Gottengen in a large survey map, that it was that the differences were discovered between the two.
Its my understanding Euclid was the Last real Mathematician, and everyone after him violated his 5th postulate, thus creating an imaginary world where parallel lines intersect, and we are now living in a non-Euclidean matrix that is a complete hoax.
