Leif bought a ship from Bjarni and then sailed to find Vinland

From the Saga of the Greenlanders.

Leif, the son of Erik the Red of Brattahlid, sought out Bjarni and purchased his ship. He hired himself a crew numbering thirty-five men altogether. Leif asked his father Eirik to head the expedition.

Eirik was reluctant to agree, saying he was getting on in years and not as good at bearing the cold and wet as before. Leif said he still commanded the greatest good fortune of all his kinsmen. Eirik gave in to Leif's urgings and, when they were almost ready set out from his farm on horseback. When he had but a sort distance left to the ship, the horse he was riding stumbled and threw Eirik, injuring his foot. Eirik then spoke: 'I am not intended to find any other land than this one where we now live. This will be the end of our traveling together.'

Eirik returned home to Brattahlid, and Leif boarded his ship, along with his companions, thirty-five men altogether. One of the crew was a man called Tyrkir, from a more southerly country

Once they had made the ship ready they put to sea and found first the land which Bjarni and his companions had seen last.

They sailed up to the shore and cast anchor, put out a boat and rowed ashore. There they found no grass, but large glaciers covered the highlands and the land was like a single flat slab of rock from the glaciers to the sea. This land seemed to them of little use. Leif then spoke: "As far as this land is concerned it can't be said of us as of Bjarni that we did not set foot on shore. I am now going to name this land and call it Helluland [Stone-slab land]."

They then returned to their ship, put out to sea and found a second land. Once more they sailed close to the shore and cast anchor, put out a boat and went ashore.

This land was flat and forested, sloping gently seaward and they came across many beaches of white sand. Leif then spoke. "This land shall be named for what it has to offer and called Markland [Forest land]." They returned to their ship without delay.

After this they sailed out to sea and spent two days at sea with a northeasterly wind before they saw land. They sailed towards it and came to an island, which lay to the north of the land, where they went ashore.

In the fine weather they found dew on the grass, which they collected in their hands and drank of, and thought they had never tasted anything as sweet.

Afterwards they returned to their ship and sailed into the sound, which lay between the island and the headland, which stretched out northwards from the land. They rounded the headland and steered westward. Here there were extensive shallows at low tide and their ship was soon stranded, and the sea looked far away to those aboard ship

Their curiosity to see the land was so great that they could not be bothered to wait for the tide to come in and float their stranded ship, and they ran aground where a river flowed into the sea from a lake. When the incoming tide floated the ship again they moved it up into the river and from there into the lake, where they cast anchor. They carried their sleeping sacks ashore and built booths. Later they decided to spend the winter there and built large houses.