extension of a straight line; (conclusion) following as an extension of (an argument)
この政策は前政権の延長線上にある。
This policy lies on the extension of the previous administration's line.
今回の事件は過去の問題の延長線上で起きた。
This incident occurred as a natural continuation of past problems.
延長線上で考えると次のステップは自然に見えてくる。
Thinking along the same line, the next step becomes naturally apparent.