Luke 1:3

Having had perfect understanding [π α ρ η κ ο λ ο υ θ η κ ο τ ι]. Incorrect. The verb means to follow closely, and hence to trace accurately. See 2 Timothy 3:10, where Rev. reads thou didst follow for thou hast fully known. Rev. renders here having traced the course. The word occurs frequently in medical writings, and sometimes, as here, with ajkribwv, accurately. Tynd., having searched out diligently.

From the very first [α ν ω θ ε ν]. Lit., from above; the events being conceived in a descending series.

Accurately [α κ ρ ι β ω ς]. From akron, the highest or farthest point. Hence to trace down to the last and minutest detail. In order [κ α θ ε ξ η ς]. Used by Luke only.