Very Computer

1. Telephone wire TWO WIRE null modem cable?

I want to make a serial connection between two computers in
the house using regular telephone lines.  I already have a TWO
WIRE telephone line between the two computers, but the
following diagrams asks for a ground (GND) connection, does
anyone know if this is really required, or if there's a way to
get around that third ground wire.  

Thanks.

Marc

Diagram in my communications terminal program:

      Simplest Possible 3-wire Null Modem Cable

      MALE                                    FEMALE
      =============                           ========
      25D RS232 pin     signal       signal   25D   9D (as in AT)
      =============     ======       ======   ===   ==
                  7     GND <------> GND        7    5
                  3     RD  <------- TD         2    3
                  2     TD  -------> RD         3    2

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