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A good experiment for some of us; I just tried it and got a confirmation.
Two vertical sticks in the plane parallel to the wall. They are separated
by about 20 cm from each other. Their distance from the wall also about
20 cm. And three thick lines on the wall (electric tape)...
I place the camcorder close to the sticks (its lens is 60 cm from them),
focus it manually and minimize zooming. The paralax is ALPHA (the width
of one stick) on each side. I move the camcorder to a distance of about six
meters from the sticks... The parallax is four to five times smaller...
Perhaps you have watched a horse-race portrayed on TV.