Luke is supposed to have mentioned this concerning Peter, recapitulating. For Peter ran to the sepulchre at the same time that John also went, as soon as it had been told to them alone by the women, (especially Mary Magdalene,) that the body was taken away. But the vision of Angels took place afterwards. Luke therefore mentioned Peter only, because to him Mary first told it. It may also strike one, that Luke says that Peter, not entering but stooping down, saw the linen clothes by themselves, and departed wondering, whereas John says, that he himself saw the linen clothes in the same position, and that he entered after Peter. We must understand then that Peter first saw them stooping down, which Luke mentions, John omits, but that he afterwards entered before John came in.
Reproduced in full. Translation: Oxford 1841 (Newman), public domain (Public domain).