Athanasius, answering the question why Jesus, having become incarnate, had to die a public death like crucifixion (instead of just dying and being raised privately):
For as it was not fitting for the Word of God, being the life, to inflict death himself on his own body, so neither was it suitable to fly from death offered by others, but rather to follow it up unto destruction, for which reason he naturally neither laid aside his body of his own accord, nor, again, fled from the Jews when they took counsel against him. But this did not show weakness on the Word’s part, but, on the contrary, showed him to be the Saviour and Life; in that he both awaited death to destroy it and hasted to accomplish the death offered him for the salvation of all. And besides, the Saviour came to accomplish not his own death, but the death of men; when he did not lay aside his body by a death of his own—for he was life and had none—but received that death which came from men, in order perfectly to do away with this when it met him in his own body.
Now, death must precede resurrection, as it would be no resurrection did not death precede; so that if the death of his body had taken place anywhere in secret, the death not being apparent nor taking place before witnesses, his resurrection too had been hidden and without evidence. Or why, while when he had risen he proclaimed the resurrection, should he cause his death to take place in secret? or why, while he drove out evil spirits in the presence of all, and made the man blind from his birth recover his sight, and changed the water into wine, that by these means he might be believed to be the Word of God, should he not manifest his mortal nature as incorruptible in the presence of all, that he might be believed himself to be the Life?
— Athanasius, On the Incarnation, para 22.