Note 67 — VII.

The time, which we took from the Cape Observatory by four excellent chronometers, gave, on our voyage between the Cape and St. Paul, a period of forty-six days, a difference of 3 h. 56 min. 11 sec., which the island was E. of the Cape, so that adding the Longitude of the latter East of Greenwich (by nautical almanack), 1 h. 13 min. 55 s., we have the Longitude of St. Paul 5 h. 10 min. 6 s. East of Greenwich (77° 31′ 30″ E.) Between Madras and St. Paul, during a long passage of sixty-seven days, and with six chronometers somewhat less accurately set than the preceding, St. Paul was found by observation to be 0 h. 10 min. 51.8 sec. West of Madras (2° 42′ 55″ W.) By the longitude of the Observatory of Madras, 5 h. 20 min. 57 sec. East of Greenwich (80° 14′ 15″ E.), as furnished by the Director of the Observatory, Major Jacobs (whereas the nautical almanack gave 5 h. 21 m. 3.77 sec. = 80° 16′ 0½″). The longitude of St. Paul would be 5 h. 10 m. 5.2 s. East of Greenwich (77° 31′ 23″ E.) The average of the two measurements gives as the average 5 h. 10 m. 5.6 sec., or 77° 31′ 26″ E. to be assumed as the final longitude of St. Paul, while the latitude was taken from the various means of the height of the sun at the meridian on an average of days. An additional computation in which allowances were made for the various corrections, gave, as the latitude, 38° 42′ 47″ S.