I know nothing about the mathematics involved in bike geometry but it looks to me like my Tryell CSI is pretty similar to a 700cc bike in most measurements:
A Wheelbase: 1,034 mm
B Seat tube length (C – T): 405 mm
C Virtual top tube length (horizontal): 545 mm
D Head tube angle: 71.0 °
E Seat tube angle: 73.5 °
F Chain stay length: 425 mm
G Bottom bracket height: 272 mm
H Total length: 1,545 mm
Even still there is no way I would ride that with no hands. My old full size bikes I could ride all day no hands, even turn corners. But both my 406 Dahon Mu and 451 Tyrell are way too unstable. Which I personally like, I love the agility, but if stability is what you want then I am not sure you can find it with smaller wheels.