Joshua 18:13

13 and the border hath gone over thence to Luz, unto the side of Luz (it [is] Beth-El) southward, and the border hath gone down [to] Atroth-Addar, by the hill that [is] on the south of the lower Beth-Horon;

Joshua 18:13 Meaning and Commentary

Joshua 18:13

And the border went over from thence towards Luz
From Bethaven, where the northern border ended, the western began, and went on to Luz:

to the side of Luz, which is Bethel, southward;
that is, passed along, leaving that city to the south, which formerly was called Luz, but now Bethel, which though distinct places formerly, yet being very near, might in process of time be joined; (See Gill on Joshua 16:2);

and the border descended to Atarothadar,
the same with Archiataroth, (See Gill on Joshua 16:2), and (See Gill on Joshua 16:5):

near the hill that [lieth] on the south side of the nether Bethhoron;
so called to distinguish it from Bethhoron the upper, situated on an hill or mountain, ( Joshua 16:5 ) ; this was rebuilt by Solomon, ( 1 Kings 9:17 ) .

Joshua 18:13 In-Context

11 And a lot goeth up [for] the tribe of the sons of Benjamin, for their families; and the border of their lot goeth out between the sons of Judah and the sons of Joseph.
12 And the border is to them at the north side from the Jordan, and the border hath gone up unto the side of Jericho on the north, and gone up through the hill-country westward, and its outgoings have been at the wilderness of Beth-Aven;
13 and the border hath gone over thence to Luz, unto the side of Luz (it [is] Beth-El) southward, and the border hath gone down [to] Atroth-Addar, by the hill that [is] on the south of the lower Beth-Horon;
14 and the border hath been marked out, and hath gone round to the corner of the sea southward, from the hill which [is] at the front of Beth-Horon southward, and its outgoings have been unto Kirjath-Baal (it [is] Kirjath-Jearim), a city of the sons of Judah: this [is] the west quarter.
15 And the south quarter [is] from the end of Kirjath-Jearim, and the border hath gone out westward, and gone out unto the fountain of the waters of Nephtoah;
Young's Literal Translation is in the public domain.