Ar
Ar is a Moabite city named at the southern edge of Israel's wilderness route, fixed in Scripture both as a Yahweh-granted possession reserved to the sons of Lot and as a city later devoured in the Sihon poem and again in the Isaiah burden of Moab. The narrow body of references gives Ar two registers: a frontier-marker on the Arnon side of Moab during the wilderness approach, and a destruction-name in the prophetic and proverbial poetry of Moab's undoing.
A City of Moab on the Arnon Frontier
Ar first appears in the Numbers itinerary as the geographical anchor of the Arnon valley: "And the slope of the valleys that inclines toward the dwelling of Ar, And leans on the border of Moab" (Num 21:15). The verse fixes Ar as the dwelling toward which the valleys slope and as the leaning-point of Moab's border, situating the city at the watershed between Moabite territory and the Amorite kingdom to the north.
In Deuteronomy the city is treated as a Yahweh-reserved possession off-limits to Israel: "Don't vex Moab, neither contend with them in battle; for I will not give you of his land for a possession; because I have given Ar to the sons of Lot for a possession" (Deut 2:9). The not-give and given-Ar clauses ground the prohibition in a prior Yahweh-grant of Ar to Lot's descendants, binding Moab's land to an inheritance-claim that Israel must respect on its march.
The Border Crossing
The transit-stage of the Deuteronomy review puts Ar on the boundary line Israel is told to cross: "You are this day to pass over Ar, the border of Moab" (Deut 2:18). The this-day pass-over directive binds the day to a frontier-crossing, with Ar standing as the named border-point of Moab at the transition into the next stage of the journey. The crossing of Ar opens directly into the Sihon stage: "You⁺ rise up, take your⁺ journey, and pass over the valley of the Arnon: see, I have given into your hand Sihon the Amorite, king of Heshbon, and his land; begin to possess it, and contend with him in battle" (Deut 2:24).
The same review remembers Ar as the seat of the Moabites who supplied Israel during the journey: "as the sons of Esau who dwell in Seir, and the Moabites who dwell in Ar, did to me; until I will pass over the Jordan into the land which Yahweh our God gives us" (Deut 2:29). The dwell-in-Ar phrase pairs the Moabites of Ar with the sons of Esau in Seir as the two non-belligerent neighbors whose territories Israel skirts on its way to the Jordan.
Devoured by the Fire from Heshbon
The Sihon-poem in Numbers 21 names Ar as the city consumed in the Amorite king's earlier conquest. The setting is announced first: "Heshbon was the city of Sihon the king of the Amorites, who had fought against the former king of Moab, and taken all his land out of his hand, even to the Arnon" (Num 21:26). The being-verb identifies Heshbon as Sihon's city, the fighting-clause has him against the former king of Moab, and the taking-clause strips all the Moabite land out of his hand as far as the Arnon.
The proverb itself then exhibits Ar as the named fire-target: "Therefore those who speak in proverbs say, You⁺ come to Heshbon; Let the city of Sihon be built and established: For a fire has gone out of Heshbon, A flame from the city of Sihon: It has devoured Ar of Moab, The lords of the high places of the Arnon" (Num 21:27-28). The fire-from-Heshbon and flame-from-the-city-of-Sihon parallel set the agent, and the devour-clause sets Ar of Moab as the consumed object, paired with the lords of the high places of the Arnon. The lament that follows widens the loss: "Woe to you, Moab! You are undone, O people of Chemosh: He has given his sons as fugitives, And his daughters into captivity, To Sihon king of the Amorites. We have shot at them; Heshbon is perished even to Dibon, And we have laid waste until the fire is kindled, which [reaches] to Medeba" (Num 21:29-30). The Moab-Chemosh address binds the people to their god, and the captivity-clauses give the sons and daughters into Sihon's hand.
Laid Waste in the Night
Isaiah's burden of Moab repeats Ar's fate as a night-event paired with Kir: "The burden of Moab. For in a night Ar of Moab is laid waste, [and] brought to nothing; for in a night Kir of Moab is laid waste, [and] brought to nothing" (Isa 15:1). The in-a-night frame collapses the destruction into a single watch, and the laid-waste / brought-to-nothing pair of verbs is repeated over both cities so that Ar of Moab and Kir of Moab stand as the twin named-anchors of the burden's opening verdict.
The Two Registers
Across the Pentateuch and the Prophets Ar holds two registers in tension. In the Deuteronomy review it is a Yahweh-granted Moabite possession, a border the Israelites must respect and pass over without contention, the dwelling of the Moabites who supplied them on the road. In the Numbers proverb and the Isaiah burden it is a fire-devoured and night-laid-waste city, named as the casualty first of Sihon's earlier Amorite conquest and later of the prophetic word against Moab. The same border-city is therefore exhibited both as a reserved-inheritance the wilderness generation must not vex and as the proverbial and prophetic emblem of Moab's undoing.