I basically have the exact same bars on my 1901 Wolff-American Racer as you do on your bike.
My bike is set up as a Racer would have raced the bike in the early 1900 era.
This photo and bike is about 1893 so just about all the Safeties back then had rear sloping top tubes. I think this is F.J. Osmond and he might be on his Buckingham and Adams "Champion Racer" in this photo.
Racers hadn't quite figured out their exact racing position yet as this particular...