Reference for Shekalim 6:3
וְהֵיכָן הָיוּ מִשְׁתַּחֲוִים, אַרְבַּע בַּצָּפוֹן, וְאַרְבַּע בַּדָּרוֹם, שָׁלשׁ בַּמִּזְרָח, וּשְׁתַּיִם בַּמַּעֲרָב, כְּנֶגֶד שְׁלשָׁה עָשָׂר שְׁעָרִים. שְׁעָרִים דְּרוֹמִיִּים סְמוּכִין לַמַּעֲרָב, שַׁעַר הָעֶלְיוֹן, שַׁעַר הַדֶּלֶק, שַׁעַר הַבְּכוֹרוֹת, שַׁעַר הַמָּיִם. וְלָמָּה נִקְרָא שְׁמוֹ שַׁעַר הַמַּיִם, שֶׁבּוֹ מַכְנִיסִין צְלוֹחִית שֶׁל מַיִם שֶׁל נִסּוּךְ בֶּחָג. רַבִּי אֱלִיעֶזֶר בֶּן יַעֲקֹב אוֹמֵר, בּוֹ הַמַּיִם מְפַכִּים וַעֲתִידִין לִהְיוֹת יוֹצְאִין מִתַּחַת מִפְתַּן הַבַּיִת. לְעֻמָּתָן בַּצָּפוֹן סְמוּכִין לַמַּעֲרָב, שַׁעַר יְכָנְיָה, שַׁעַר קָרְבָּן, שַׁעַר נָשִׁים, שַׁעַר הַשִּׁיר. וְלָמָּה נִקְרָא שְׁמוֹ שַׁעַר יְכָנְיָה, שֶׁבּוֹ יָצָא יְכָנְיָה בְּגָלוּתוֹ. בַּמִּזְרָח, שַׁעַר נִיקָנוֹר, וּשְׁנֵי פִשְׁפְּשִׁין הָיוּ לוֹ, אֶחָד בִּימִינוֹ וְאֶחָד בִּשְׂמֹאלוֹ. וּשְׁנַיִם בַּמַּעֲרָב שֶׁלֹּא הָיָה לָהֶם שֵׁם:
And where did they bow? [The thirteen bowings mentioned above (6:1) — Where were they performed?] Four in the north, four in the south, three in the east, and two in the west, corresponding to thirteen gates. The southern gates, extending to the west: the Upper Gate [The Temple Mount rose in a slant from east to west. The gate near the west is the Upper Gate. After it came ] the Gate of Kindling [the gate of the wood lishkah, in the south of the azarah, so-called because they brought through it the wood for the altar wood pile], the Gate of the Bechoroth [through which they brought the bechoroth (the firstlings) slaughtered in the south], and the Water Gate. Why is it called "the Water Gate?" For through it is brought the flask of water for the festival (Succoth) libation. R. Eliezer b. Yaakov says: For from it water oozed and was destined to issue forth from under the threshold of the Temple [viz. (Ezekiel 47:2): "And, behold, water oozing (mefakim) from the right side," i.e., from the south, which is called right, as in (Psalms 89:13): "North and right." Ezekiel saw it (the water) in a prophetic vision issuing forth from the holy of holies, spreading apart like the proboscides of locusts, and, when reaching this gate, gathering strength, attaining to the fullness of the mouth of a flask (pach), for which reason it is called "mayim mefakim."] Corresponding to them in the north, extending west: the Gate of Yechanyah, the Gate of the Offering, [through which holy of holies are brought, which are slaughtered in the south], the Gate of the Women, [through which the women enter to place their hands upon their offerings (This, according to R. Yossi, who says that women may do so; and, according to R. Yehudah and R. Shimon, to stand by their offering], the Gate of the Song, [through which musical instruments were brought]. Why was it called "the Gate of Yechanyah"? For through it Yechanyah went to his exile [when he went to the Temple to bow down and to be granted leave in going to exile in Bavel; and he went out through that gate.] In the east, the Gate of Nikanor [(see Yoma 38a)]. There were two wickets in it, one on the right, one on the left, and two in the west, without names. [There were small gates within the large gates, which are also included in the thirteen. And even though the Gate of the Hearth also had a wicket, it is not reckoned, having been very small, whereas these were larger. This Mishnah of the thirteen gates is stated in the Yerushalmi to be in accordance with Abba Yossi b. Chanan; but the sages say that there were seven gates to the azarah and they hold these thirteen bowings to correspond to the thirteen breaches made by the Greek kings in the azarah. When the Hasmonean kings gained the upper hand and defeated them and closed the breaches, they instituted thirteen bowings, one for each closed breach.]