without aid or supportindependently came to the same conclusion
independently came to the same conclusion
alone, single-handed, single-handedly, singly, solely, unaided, unassisted
individually, separatelysolo
by one's own bootstraps, on one's own, on one's own hook, on one's own initiative
collectively, conjointly, cooperatively, hand in glove(or hand and glove), hand in hand, jointly, mutually, togetheren masse
英语同义词词典收录了63618条英语词条，基本涵盖了全部常用同义词或反义词的辨析及翻译，是英语学习的有利工具。