The term "swear by" means to use the name of something or someone as the basis or power on which the oath is made. "promise me with Yahweh as your witness"
"the God of heaven and earth." The words "heaven" and "earth" are used together to mean every thing that God created. Alternate translation: "the God of everything in heaven and earth" (See: [[rc://en/ta/man/translate/figs-merism]])
"among whom I live." Here, "I" stands for Abraham and all of his family and servants. Alternate translation: "among whom we live" (See: [[rc://en/ta/man/translate/figs-synecdoche]])