We report a new measurement of R-b = Gamma(Z0-->b (b) over bar)/Gamma(
Z0-->hadrons) using a double tag technique, where the b hemisphere sel
ection is based on the reconstructed mass of the B hadron decay vertex
. The measurement was performed using a sample of 130 x 10(3) hadronic
Z(0) events, collected with the SLD detector at SLC. The method utili
zes the 3D vertexing abilities of the CCD pixel vertex detector and th
e small stable SLC beams to obtain a high b-tagging efficiency and pur
ity. We obtain R-b = 0.2142 +/- 0.0034(stat) +/- 0.0015(syst) +/- 0.00
02(R-c). [S0031-9007(97)05018-7].