Using data from CLEO II at the Cornell Electron Storage Ring we provid
e a new measurement of the branching fraction for D0 --> pi+pi-, and w
e present the first measurements of D0 --> pi0pi0 and of D+ --> pi+pi0
, which is due to an isospin changing DELTAI = 3/2 transition. From th
ese data we extract the ratio of isospin amplitudes \A2/A0\, and the c
osine of the relative phase delta = delta2 - delta0 between these ampl
itudes, for D --> pipi decays. Unlike the situation in kaon decay wher
e A2 is strongly suppressed, we find \A2/A0\ = 0.72 +/- 0.13 +/- 0.11
and cos delta = 0.14 +/- 0.13 +/- 0.09.