August 9, Cape Chukotskoi was doubled, an important event in the history of this expedition,—an event which Müller, in order to make results fit into his frame, has not even mentioned. The name, it is true, is not found in the journal, but it appears on Bering's chart in Du Halde's work, which Müller knew. Bering determined the southern extremity of the cape to be 64° 18', Cook 64° 13'.

August 11, the weather was calm and cloudy. At 2 o'clock in the afternoon, they saw an island toward the southeast, which Bering, in honor of the day, called St. Lawrence. At noon the latitude was found to be 64° 20', and hence the Gabriel was in the strait between Asia and America.

August 12, there was a light breeze and cloudy weather. On this day they sailed sixty-nine miles, but the difference in latitude was only 29'. At sunset the longitude was computed by the aid of the variation of the needle to be 25° 31' east of the lower Kamchatka fort, or 187° 21' east of Greenwich.

August 13, a fresh breeze and cloudy. Bering sailed during the whole day with land in sight, and the difference in latitude was only 78'.

August 14, weather calm and cloudy. They sailed 29 miles + 8¾ miles for the current. The course of the current was from south southeast to north northwest. At noon the latitude was 66° 41' when they saw high land astern, and three hours later high mountains. (East Cape is 66° 6' N. lat. and 190° 21' east of Greenwich.)

August 15, gentle wind, cloudy weather. From noon until 3 o'clock Bering sailed to the northeast, and after having sailed seven miles in this direction, he determined to turn back. At 3 o'clock he announced, that as he had now accomplished his task, it was his duty, according to his orders, to return. His bearings were then 67° 18' N. latitude, and 30° 19' east of the Kamchatka fort, or 193° 7' east of Greenwich. In Du Halde, where Bering himself gives his reasons, it is stated: "This was Captain Bering's most northerly point. He thought that he had accomplished his task and obeyed orders, especially as he no longer could see the coast extending toward the north in the same way. ("Surtout, parcequ'il ne voyait plus que les terres continuassent de courier de même du côté du Nord.") Moreover, if they should go farther, he feared, in case they should have adverse winds that they might not be able to return to Kamchatka before the end of the summer, and how were they to be able to pass the winter in such a climate, liable to fall into the hands of a people who had not yet been subjugated, and who were human only in outward appearance.[14]

When Bering turned about, his command was to steer south by west, half west. In this course they sailed with the wind at a rate of more than seven miles an hour. At 9 o'clock in the morning, they saw a high mountain on the right, where Chukchees lived, and to the left and seaward they saw an island, which in honor of the day they called Diomede.[15] This day they sailed 115 miles, and reached latitude 66° 2'.

On August 17, Bering again passed the narrowest part of the strait. The weather was cloudy, there was a fresh breeze, and they sailed along the Asiatic coast, where they saw many Chukchees, and at two places they saw dwellings. The natives fled at the sight of the ship. At 3 o'clock very high land and mountains were passed. With a very good breeze, they had been enabled to sail 164 miles, and an observation showed that they were in latitude 64° 27'. According to this, Bering was out of the strait and getting farther and farther away from the American continent.

August 18, the wind was light and the weather clear. On the 20th, beyond the Island of St. Lawrence, he met other Chukchees, who told him that they had made journeys from the Kolyma River westward to Olenek, but that they never went by sea. They knew of the Anadyr fort which lay farther to the south; on this coast there dwelt people of their race; others they did not know.