@farmerman,
Let one of those T.V. commercial flashlights represent the sun.
Let a tennis ball represent the moon.
Let a basketball represent Earth.
Let the tennis ball pass between the flashlight and the basketball.
Let one of the lines around the basketball represent the path of the shadow of the tennis ball on the basketball.
The diameters of the sun and the moon, in combination with the distances between the Earth/sun/moon are such that only in the direct path of the shadow of the moon ( the center of the line ) will the moon totally block the surface of the sun. If I hold this phone between the T.V., at a certain distance from my eyes, it will totally block the T.V. screen. If I move my head slightly, (representing a slightly different view-point on Earth ) part of the screen will become visible.
Oh man! I just answered the wrong question. Maybe it will help someone.
As far as totality lasting longer in Mikanda, I think it has to do with the Earth rotating so that that town "rides along" with the shadow. I don't know. What do you think I am ? ! A rocket surgeon ! ? Sorry. This ain't the rant forum.