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We report a measurement of the strong coupling constant, αs(Mz ), extracted from inclusive jet production in pp̅ collisions at √s =1800 GeV. The QCD prediction for the evolution of αs with jet transverse energy ET is tested over the range 40 TET for the renormalization scale. The data show good agreement with QCD in the region below 250 GeV. The value of αs at the mass of the Z0 boson averaged over the range 40 < T < 250 GeV is found to be αs(Mz )= 0.1178 ± 0.0001(stat)-0.0095+0.0081 (expt. syst). The associated theoretical uncertainties are mainly due to the choice of renormalization scale (-4%+6%) and input parton distribution functions (5%).