The Israelites now sent ambassadors to King Sihon of the Amorites with this message:
"Let us travel through your land. We will stay on the king's road until we have crossed your territory. We will not trample your fields or touch your vineyards or drink your well water."
But King Sihon refused to let them cross his land. Instead, he mobilized his entire army and attacked Israel in the wilderness, engaging them in battle at Jahaz.
But the Israelites slaughtered them and occupied their land from the Arnon River to the Jabbok River. They went only as far as the Ammonite border because the boundary of the Ammonites was fortified.
References for Numbers 21:24
So Israel captured all the towns of the Amorites and settled in them, including the city of Heshbon and its surrounding villages.
Heshbon had been the capital of King Sihon of the Amorites. He had conquered a former Moabite king and seized all his land as far as the Arnon River.
For this reason the ancient poets wrote this about him: "Come to Heshbon, city of Sihon! May it be restored and rebuilt.
A fire flamed forth from Heshbon, a blaze from the city of Sihon. It burned the city of Ar in Moab; it destroyed the rulers of the Arnon heights.
Your destruction is certain, O people of Moab! You are finished, O worshipers of Chemosh! Chemosh has left his sons as refugees, and his daughters as captives of Sihon, the Amorite king.
We have utterly destroyed them, all the way from Heshbon to Dibon. We have completely wiped them out as far away as Nophah and Medeba."
References for Numbers 21:30
So the people of Israel occupied the territory of the Amorites.
After Moses sent men to explore the Jazer area, they captured all the towns in the region and drove out the Amorites who lived there.
Then they turned and marched toward Bashan, but King Og of Bashan and all his people attacked them at Edrei.
The LORD said to Moses, "Do not be afraid of him, for I have given you victory over Og and his entire army, giving you all his land. You will do the same to him as you did to King Sihon of the Amorites, who ruled in Heshbon."
And Israel was victorious and killed King Og, his sons, and his subjects; not a single survivor remained. Then Israel occupied their land.