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Flat Earth Q&A / Moon issues...
« on: May 01, 2006, 09:02:42 PM »
I'm gonna throw out the obvious bone here...
The moon isn't a flat disc, but a convex one?
The moon isn't a flat disc, but a convex one?
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Well, as I pointed out before, their compasses are designed around the assumption that the Earth is round. They travel in a large circle which comes close to the southern edge, and as soon as they are halfway through the circle or course their compasses will start pointing north.
Let's put this in math terms. Start on a Riemann sphere at the origin, and walk an absolutely straight line towards the infinity pole.. With the SLIGHTEST deviation in your initial direction, you will just walk in a big circle and wind up back at the origin, even though your path is absolutely straight. The Riemann sphere is isometric to the complex plane, so the line you just walked on the sphere corresponds to a large curve in the plane.
1. Compasses and GPS system rely on the hypothesis that the earth is round to keep you in a straight line. Since the hypothesis is false, the results are inaccurate, and you travel in a big circle, thus reaching your starting point eventually.