How about chucking the drill bit in an old fasioned Yankee push-style
screwdriver??

"Steve" wrote in message
. 128...
I just finished a TV cabinet for a client. Now she wants glass doors
added.

I have the doors and associated hardware on order. The hinges will mount
in plastic pivots that sit in holes drilled into the face frame. The holes
will need to be VERY close to the corner of the opening. I wish I could
have drilled these before final assembly and painting. Oh, well....

Can anyone recommend a tool for drilling holes very close to a
perpendicular surface?