Exegesis:

arxamenos apo Mōuseōs kai apo pantōn tōn prophētōn lit. ‘beginning with Moses and proceeding to all the prophets.’

diermēneusen autois … ta peri heautou ‘he explained to them the things concerning himself.’

diermēneuō ‘to explain,’ ‘to expound.’

en pasais tais graphais ‘in all the scriptures,’ i.e. ‘in all the parts, or, books of scripture.’

Translation:

Beginning with Moses and all the prophets, or, ‘beginning with (the books of) M. and proceeding with (the books of) all the prophets,’ ‘first quoting (passages) from (the books of) M., next from (the books of) all the prophets’; cf. also on 16.29, and on “book of the prophet Isaiah” in 4.17. The phrase is sometimes better transposed to the end of the sentence.

He interpreted, or, ‘explained,’ ‘made clear, or, gave the meaning of’ (cf. Ekari), ‘expounded’ (which in Chokwe is rendered by a term literally meaning ‘to take-apart-a-pile’).

In all the scriptures the things concerning himself, or, “the passages which referred to himself in every part of the scriptures” (New English Bible), ‘what was said/written about him in all the scriptures’ (cf. Good News Translation). For the scriptures sometimes (e.g. in Bahasa Indonesia) an Arabic borrowing (lit. ‘the Book’), which amongst Muslims is a common designation of the Koran.

Quoted with permission from Reiling, J. and Swellengrebel, J.L. A Handbook on the Gospel of Luke. (UBS Handbook Series). New York: UBS, 1971. For this and other handbooks for translators see here . Make sure to also consult the Handbook on the Gospel of Mark for parallel or similar verses.