We report on the first measurement of the spin-dependent structure function g1d of the deuteron in the deep inelastic scattering of polarised muons off polarised deuterons, in the kinematical range 0.006

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The Brookhaven Alternating Gradient Synchrotron polarized proton beam incident on a beryllium target was used for inclusive A production at beam momenta of 13.3 and 18.5 GeV/c. The beam polarization was transverse to the beam direction with magnitude 0.63 at 13.3 GeV/c and 0.40 at 18.5 GeV/c. The A polarization was measured and found to be in agreement with results from earlier experiments which used unpolarized proton beams. Analyzing power AN and spin transfer DNN of the A's were both measured and compared with a hyperon-polarization model in which the polarization arises from a Thomas-precession effect. There is good agreement with its predictions: AN =O and DNN =O. In particular, our measurement of ( DNN ) = -0.009f 0.015 supports the idea that the valence quarks carry all of the hadron spin, since this assumption is implicit in the model's use of SU(6) wave functions to form final-state hadrons from beam fragments and sea quarks. The presence of substantial Ks samples at both beam momenta and x's at 18.5 GeV/c prompted a measurement of their analyzing powers, which yielded AN(Ks)= -0.094k0.012 at 13.3 GeV/c beam momentum and -0.076+0.015 at 18.5 GeV/c, and ~~(~) = 0 . 0 3 1 0 . 1 0 .

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