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High Barnet is so named for a reason. The traffic lights where the Meadway meets the High Street are about 150 feet higher than the tube station. For cycling a 50' high hill is about equal to one extra horizontal mile. I think it was Leeds University that first gathered this info'. They know about hills there.
Thus it might make sense for a cyclist from High Barnet or Monken Hadley to park their bike at the top of the hill, and walk down the slope to the tube station, thus saving the equivalent of three miles riding to get back to their bike when they return. This of course requires somewhere to park a bike, preferably on the south-east corner of the intersection of Barnet Hill and the Meadway, where a pathway goes down to the station.
Doubters might claim this to be totally impossible, it's a sheer drop.
But it isn't impossible. Once there was something there, long unused when I first moved to Barnet. It was then an abandoned oil merchant's shop/office, and presumably a coal merchant's office back in the days when what is now a carpark was a freight yard for the delivery of coal freight via the connection that is now the Parkland Walk.
Presumably the office's platform was monted on posts. What was once an office could be replaced by a platform with a bike rack on it, with railings at the drops for these safety concious days.
What was once an office on posts could become a bike parking platform on posts. Maybe TfL, as the tube train manager, could supply part of the money if Barnet was feeling stingy (or vice-versa)