_Tuesday, August 1st._--The Great Eastern continued on her way without let or hindrance all night and early morning, increasing her speed to 7 knots an hour, although there was a strong breeze at times. The sea continued to favour us greatly, and the ship’s deck scarcely ever varied from a horizontal plane. At noon our position was, Lat. 51° 52´ 30´´, Long. 36° 3´ 30´´: making 155 miles run since yesterday. Cable paid out 1081·55 miles. Distance from Valentia, 948 miles: distance from Heart’s Content, 717 miles. We were without soundings; but it was supposed we were passing over the line on the chart where they varied from 1975 to 2250 fathoms. The Terrible was at her usual station, about two miles away; but we gave up all hopes of seeing the Sphinx till we reached Heart’s Content. It was calculated that at our present rate we would see land on Friday evening, or first thing on Saturday morning. In preparation for our arrival the crew were employed in transferring the shore end of the Cable from the main to the after tank. It would be painful to dwell on the tenour of our conversation. The wisest men forgot the lessons of the past few days. It seemed quite certain that the right step had been taken, and that the man, or men, who had caused the previous mishaps had been effectually checkmated. The praises of the Great Eastern were on every tongue. Had no fault occurred, our task would have been nearly ended by this time. Her mission is undoubtedly the laying of Atlantic Cables, and she did it nobly as far as in her lay on this occasion. _Wednesday, August 2nd._--In the course of the night the wind, accompanied by a dense fog, rose from the westward. Then it suddenly shifted to N.N.W.; but although the sea was high, there was no rolling or pitching, and none of the sleepers were aroused from slumber, which was favoured by the ceaseless rumble of the machinery. They were, however, awakened but too speedily. Again the great enterprise on which so much depended, and on which so many hearts and eyes were fixed, was rudely checked.