3週4日目 お急ぎのところ
Development・time・result
接続：Vる／ている／た＋ところを
no matter the situation; just in time to be discovered
注意 / Note：Different from the other two forms: 〜ところを, that very situation is the OBJECT of the following action — being seen, being caught, being called. There is another fixed usage in social greetings: 「お忙しいところをすみません」.
比較 / Compare：Same song: 〜ところに／〜ところへ. These models are often mistakenly chosen for each other — carefully read the 接続 and nuances above and then decide.
よく出る形 / Common form：動辞書形／ている／た＋ところを。The latter is also 見つかる・捕まる・助ける・呼び止める. Social form: お忙しい／お疲れの＋ところを.
お忙しいところを、ありがとうございます。
Thank you even though you're busy.
逃げているところを警察に捕まった。
While running away, he was caught by the police.
居眠りをしているところを先生に見つかった。
While he was dozing off, he was caught by his teacher.