求翻译：达特茅斯学院案判决的胜利历史地确立了美国私立大学的法律地位。正如比尔德所言:该判决给私立院校的前进都开辟了道路"在这里法治精神在教育领域显示了自己的威力；是什么意思？

The victory of the history of the Dartmouth College case decision to establish the legal status of U.S. private universities. As Beard says: This ruling opened the way forward to the private institutions "in the spirit of the rule of law in the field of education to show their power;