@ Michael
<<To do that start the construction line's first point on the sphere...
I don't succeded your last tip, i must miss something !

but I have found another one! ;) Maybe the more easy for the moment :)

I draw my circle on the top of the sphere in view Top

So in view Front I can easily move the Edit Frame circle vertically to the intersection of the "curve's generator" of the sphere!

So I have my tangent circle!

So now with the Orient / Copy I can draw anywhere my circle tangent on the sphere in one click! :) (+ a right click ;)

@Bemfarmer
Courage!