I don't follow the argument about the moon phases either. Could you try to summarize it in a couple sentences? What does it prove? Perhaps leave out all the fluff and the pictures.
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There are many things about the phases of the moon that demonstrate how the earth's surface is spheroidal.
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For example:
-- Everywhere on the earth where the moon is visible, everyone always sees the same phase at the same time.
There is no exception to this fact.
But if the earth were "flat," viewers separated by a few thousand miles would always see a DIFFERENT phase.
That NEVER happens. Therefore, the earth cannot be "flat."
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-- At the first quarter moon and the last quarter moon, at that very hour the moon makes a right triangle with the sun and earth.
With the moon at the 90 degree corner, we can measure the angle of the earth's corner, which turns out to be 89.6 degrees.
Since the sum of the three interior angles of any triangle is 180 degrees, that leaves 0.4 degrees for the sun's corner.
This is a very thin and long triangle, with the earth and moon at one end and the sun at the other end.
The sun is placed over 300 times further from earth than the moon is from the earth.
This is impossible on a "flat" earth model, therefore the "flat" earth model is shown to be impossible.
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-- When we look up at the moon from waxing crescent to waning crescent (all except new moon) we see the following:
The moon's illuminated side always faces the sun. Therefore we can see it's the sun that makes the moon light up.
Flat-earthers are all in disagreement about this so they have all kinds of silly explanations, like:
-- The moon is translucent and you can see stars shining through it
The moon does not shine by the sun's light but is illuminated from inside (somehow but we don't know how).
The moon is a flat disk not a globe and the phases we see have nothing to do with the sun (?).
Since none of their silly claims ever amount to a "hill of beans" consequently flat-earthism is relegated to urban legend.
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-- The full moon at midnight is always directly overhead, from any point of view on earth. Therefore:
We can easily imagine where the sun is located in order to make the moon look this way.
With the moon overhead at "high noon" position in the sky, the sun must be under our feet on the other side of the earth.
The moon, earth and sun must be in a straight line in space for us to see the moon "full" as we do in a full moon.
-- But flat-earthers claim the sun is circling above the "flat" earth and is therefore behind our back, to the north.
If the sun were where flat-earthers say it is, we ought to see a shadow at the bottom of the moon, not a full moon.
Since we never see a shadow at the bottom of the moon during full moon, the earth cannot be "flat."
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Do you need more examples?
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