Yoma 17A

אלא לאו שמע מינה, רבי אליעזר בן יעקב היא. שמע מינה.

Rather, must one not conclude from it that that the mishnayot in tractate Middot are in accordance with the opinion of R' Eliezer ben Ya’akov? The Talmud concludes: Indeed, conclude from it that this is so.

רב אדא בריה דרב יצחק אמר: האי לשכה אקצויי מקציא, ודאתי מצפון מתחזיא ליה בדרום, ודאתי מדרום מתחזיא ליה בצפון.

§ In an additional attempt to resolve the contradiction with regard to the Chamber of the Lambs, Rav Adda, son of Rav Yitzḥak, said: This chamber was removed from the corner, as it was not actually in the corner of the Hall of the Hearth but was located along the middle of the western side of the hall. And therefore, for one who comes from the north, the chamber appears to him to be in the south of the hall; and for one who comes from the south, the chamber appears to him to be in the north of the hall.

ומסתברא דבמערבית דרומית הואי. ממאי ⁠— מדרמינן לחם הפנים אלחם הפנים,

The Talmud comments: In any event, it is reasonable to say that this chamber was closer to the southwest corner than it was to the northwest corner. From where does one arrive at that conclusion? From the fact that we raise a contradiction between the Mishnah in tractate Tamid, where we learned that the chamber in which the showbread was prepared stood in the northeast corner, and the Mishnah in tractate Middot, where we learned that the chamber in which the showbread was prepared stood in the southeast corner.

ומשנינן, אמר רב הונא בריה דרב יהושע: מר קא חשיב דרך ימין, ומר קא חשיב דרך שמאל.

And we resolve the contradiction based on what Rav Huna, son of Rav Yehoshua, said: The Master in tractate Middot envisions the chambers as one coming via the right, from the south to the east, then to the north and then to the west. And the Master in tractate Tamid envisions the chambers as one coming via the left, from the south to the west, then to the north and then to the east. Both agree with regard to the location of the chamber in which the showbread was prepared; they merely describe that location from different perspectives.