Which preposition to use with summersaults

in Occurrences 2%

If, thereafter, in the long going "up river" there came an interval of downhill, the sled turned summersaults in the air, wound its forward or backward rope round willow scrub or alder, or else advanced precipitately with an evil, low-comedy air, bottom side up, to attack its master in the shins.

before Occurrences 1%

I threw one solid quarter-mile of summersaults before that suddent cravin' was satisfied.

for Occurrences 1%

We always turned a summersault for S. When we got to Z, we gave the book a push and had a frolic around the room.

on Occurrences 1%

Often, after writing for a few hours in the morning, he stepped out of doors, and, from pure love of the fun, leaped and turned summersaults on the grass, before going up to town.

Which preposition to use with  summersaults