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Then we discover in the revelation given to the Prophet Joseph Smith in August 1830, that it was Elias who came to Zacharias and announced the birth of John the Baptist. [D&C 27:6-7 is then cited.]
This is the same Elias who held the keys of the dispensation of Abraham and who came to the Prophet Joseph Smith and Oliver Cowdery, April 3, 1836, in the Kirtland Temple and restored the keys of Abraham-s dispensation. [D&C 110:12; 128:20-21 are then cited.]
From these scriptures we learn that Noah is Gabriel and that he came to the Prophet Joseph Smith in his calling as an Elias and restored the keys of the dispensation in which the Lord made covenant with Abraham and his posterity after him to the latest generations.
The term Elias means forerunner. Noah, Elijah, John the Baptist and John the Revelator have been referred to as Elias in scripture, though the references to Elijah by this name are mistranslated. [Smith,Teachings of the Prophet Joseph Smith, p. 340; D&C 77:9, 14.]
Summarizing the facts t Joseph Smith revealed that Gabriel was Noah; Luke declared that it was the angel Gabriel who appeared to Zacharias and Mary; and the Lord has declared that Elias appeared to Zacharias and Joseph Smith. Therefore, Elias is Noah.
Joseph Fielding Smith, Answers to Gospel Questions, 3:138-141.