Haven't fallen, but have come so close, managed to free a foot just in time. And it's always been when Iv'e stopped, and shifted my weight to the other side.
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1st bike - 1962 Schwinn Varsity (bought new and wish I still had it, left it in Siagon, Viet Nam 1965)
1962 Schwinn Varsity (could be a twin of my first bike)
1969 Peugeot PX10E
1972 Schwinn Sports Tourer (bought new)
1982 Peugeot PH19 Mixte
1989 Novara Aspen