deduce

verb (used with object), de·duced, de·duc·ing.

1. to derive as a conclusion from something known or assumed; infer: From the evidence the detective deduced that the gardener had done it.
2. to trace the derivation of; trace the course of: to deduce one’s lineage.

verb (tr)

1. (may take a clause as object) to reach (a conclusion about something) by reasoning; conclude (that); infer
2. archaic to trace the origin, course, or derivation of

v.

early 15c., from Latin deducere “lead down, derive” (in Medieval Latin, “infer logically”), from de- “down” (see de-) + ducere “to lead” (see duke (n.)). Originally literal; sense of “draw a conclusion from something already known” is first recorded 1520s, from Medieval Latin. Related: Deduced; deducing.