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Aug 8, 2015 at 3:11 vote accept Jake
Aug 7, 2015 at 19:37 comment added KWillets Good point, your vertical distance from the true line is <1 all the way up.
Aug 7, 2015 at 16:51 comment added Kittsil As you approach $(a,b)$, the maximum error decreases. If you know the acceptable error beforehand, it would be easy to derive the geometric formula for when steps are guaranteed to start falling within that range.
Aug 7, 2015 at 6:46 history answered KWillets CC BY-SA 3.0