missed 1st base mechanic

[archangel]

Ok, I'm a big believer in looking/finding for your own answers--just another good reason to get my nose back in the books.
There also comes a time when one just has to say 'You're a dummy, ask for help".....
I'm looking for the FED mechanic for BU when the BR beats the throw to F3 but misses the bag.
Its been my understanding that a silent "safe" arms outstretched mechanic is the recommended one, as the runner is considered to have "safely reached the bag" until an appeal.... whereas a "no mechanic" tips off the defense= unfair advantage. The defense then has to appeal or tag the BR or bag prior to BR returning to the bag.

I can only find casebook 8-2-3(pg67) "BR ...arrives safely but misses 1st base..." or the Umpires Manual (pg 35) #19 Appeal Play: "When an umpire observes a base running error, he should make no verbal or non verbal statement that could tip either team."

If possible, the book and page # would be appreciated.
Thanks, Dan