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A well maintained 109E should be able to turn inside a Spit at low to medium speeds with maneuvering flaps out. (at high speeds the elevator became heavy as mentioned, which limited high speed turn ability)
That should be all the proof anybody needs, but there's more.Before turning fights with the Bf 109 E type, it must be noted in every case, that
all three foreign planes have significantly smaller turning circles and turning times.
The Spit was obiously superior in performance to the Hurricane but 2.5x Hurricanes could be built for the same work required for a Spit.
Whether by design or lucky accident, the Hurricane and Spitfire complemented each other very well in the Battle as a sort of "high-low" mix, with the Hurricane being strong on numbers but a little short on performance, and the Spitfire the opposite. Sydney Camm, the Hurricane's designer, said he could have gotten better performance from the Hurricane by tweaking it a bit, but realized that the RAF needed numbers; according to Richard J. Overy's book The Air War, 1939-45, in 1939 the RAF could produce 2.5 Hurricanes using the same number of man-hours it took to produce 1 Spitfire. For a variety of reasons, RAF's Fighter Command began sending Hurricanes after bombers and Spitfires after fighters when possible, but the Hurricane proved itself able to combat the Me-109 when necessary, which was fortunate, considering the relative number of Hurricanes, Spitfires, and Me-109s participating in the Battle.