Machazik comes from the Hebrew root chet-zayin-kuf. In this form it means "to hold," "to contain." or "tograsp." The middah teaches that we are not to grasp (eino) goodness (tova) for ourselves (l'atzmo), that is, we should refrain from taking personal credit for what is good.
Omer Davar BeShem Omro translates as "Quoting one's sources." The Hebrew root of omer is aleph-mem-reish, meaning "to say" or "to speak." The Hebrew root of davar is daled-bet-reish, meaning "saying," or "thing." Beshem comes from the Hebrew root shin-mem, which means "name."