In the Feb 2019 issue of the Ensign, Elder Juan A. Uceda of the Seventy, in his article, A Personal Relationship with Our Heavenly Father Through Prayer, there is an appeal to the Greek verb πιπτω:
Matthew tells us that the Redeemer, as He prayed, demonstrated humility. “And he went a little further, and fell on his face, and prayed, saying, O my father; if it be possible, let this cup pass from me: nevertheless not as I will, but as thou wilt” (Matthew 26:39)
What does it means that he “fell on his face”? The word for “fell” in the original Greek is pipto, a verb that means “to descend from an erect to a prostrate position.” When the moment comes for personal prayer, remember that you are going to address the most intelligent and powerful being in the universe, “the Father of mercies, and the God of all comfort” (2 Corinthians 1:3). Before such a being, I cannot be casual. I feel compelled to kneel.
Greek nerds will appreciate the appeal to the Greek, no doubt.
For those who are interested, BDAG provides the following with respect to its usage in Matt 26:39 and other related texts:
all down, throw oneself to the ground as a sign of devotion or humility, before high-ranking persons or divine beings, esp. when one approaches w. a petition (LXX; TestAbr A 18 p. 100, 29 [Stone p. 48]; JosAs 14:4; ApcSed 14:2), abs. Mt 2:11; 4:9; 18:26, 29; Rv 5:14; 19:4; 22:8 (in all these places [except Mt 18:29] π. is closely connected w. προσκυνεῖν [as Jos., Ant. 10, 213 after Da 3:5 and ApcMos 27]. Sim. in many of the places already mentioned). W. var. words added (Jos., Ant. 10, 11 πεσὼν ἐπὶ πρόσωπον τ. θεὸν ἱκέτευε; Gen 17:3, 17; Num 14:5) ἐπὶ πρόσωπον (αὐτοῦ, αὐτῶν) Mt 17:6; 26:39; Lk 5:12; 17:16 e;vπὶ πρόσωπον παρὰ τοὺς πόδας αὐτοῦ); 1 Cor 14:25; ἐπὶ τὰ πρόσωπα αὐτῶν Rv 7:11; 11:16; ἐπὶ τῆς γῆς Mk 14:35. Further, the one to whom devotion is given can be added in var. ways: ἐνώπιόν τινος (cp. 2 Km 3:34) Rv 4:10; 5:8; 7:11. ἔμπροσθεν τῶν ποδῶν τινος 19:10. εἰς τοὺς πόδας τινός (Diog. L. 2, 79) Mt 18:29 v.l.; J 11:32 v.l. ἐπὶ τοὺς πόδας Ac 10:25 (v.l. adds αὐτοῦ). παρὰ τοὺς πόδας τινός Lk 8:41; 17:16 (s. above). πρὸς τοὺς πόδας τινός Mk 5:22; J 11:32; Ac 10:25 D; Hv 3, 2, 3.