I don't have the book with me right now as I can't comment.
Fr. V.C. Samuel is perhaps one of the most open-minded authors you'll read from, and very lenient and understanding in the Christological controversies. So he gives his own interpretation of the events without the obvious OO polemics, although he allows an OO perspective of the views.
Nevertheless, the idea is that we stress that one person does the act through a certain faculty. We don't put each faculty as the subject of action. In other words, God was crucified humanly, rose from the dead divinely. We do not say "the human nature was crucified, and the divine nature rose the human from the dead." To us, this would sound quasi-Nestorian. We preserve the integrity of both the humanity and the divinity, while keeping the subject of action as one, i.e. God the Logos.