E.—No. 4a,

FURTHER PAPERS RELATIVE TO THE SAN FRANCISCO MAIL SERVICE.

No. 1. Mr. Gr. A. "Woods to the Hon. J. Vogel. Sir,— Marine Survey Office, 9th May, 1870. In obedience to your instructions, I herewith enclose for your information the work of oceanic distances on the great circles, together with the local distances between certain ports in Pacific Waters; and a chart showing the routes suggested by yourself, and those proposed by Fowler, of H.M.S. " Challenger." ' I hare, &c, To the Hon. Julius Yogel, G-. A. "Woods, Postmaster-General, &c. Colonial Marine Surveyor.

the tho Mr.

Memorandum of Distances of San Fbancisco Boute via Honolulu. Assumed Positions. Latitude. Longitude. Sydney ... ... ... ... ... 33° 51' 42" S. 151° 14' E. San Francisco ... ... ... ... 37° 4830" X 122° 24' W. Cape Palliser ... ... ... ... 41° 37' S. 175° 17' E. Auckland ... ... ... ... ... 36° 50' S. 174° 49' E. Cape Farewell ... ... ... ... 40° 30' S. 172° 44' E. Manukau Heads ... ... ... ... 37° 3'S. 174° 32' E. Honolulu ... ... ... ... ... 21°18']Sr. 157° 55' W. East Capo Island ... ... ... ... 37° 40' S. 178° 36' E. Levuka, Fiji Islands ... ... ... ... 17° 41' S. 178° 49' E.

On Great Circle fob Distance. —San Francisco to Honolulu. San Francisco, Lat. 37° 48' 30" N., Long. 122° 24' "W. Honolulu ...Lat. 21° 18' X, Long. 157° 55' W. Lat. 37° 48' = 52° 12' Co. Lat., and Lat. 21° IS' = 68° 42' Co. Lat. Long. 122° 24' W., Long. 157° 55' = * diff. Long. 17° 45' i diff. Long. 17° 45' == Sine 9-4841066 Sine 3 18-9682132 Co. Lat. Sine 9-8977123 Co. Lat. Sine 9-9692720 2)38-8351975 19-4175987 19-4175987 -1 diff. Co. Lat. Sine ... 9-1568296 61° 15' S" Tang. ... 102607691 ... Sine 9-9428735 17° 2130" ... Sine 94747252 Distance, 2,083 miles = 34° 43. 00"

Honolulu to Auckland. Honolulu, Lat. 21° 18' N, Long. 157° 55' W. Auckland, Lat. 36° 50' S., Long. 174° 49' E. Lat. 21° 18' = 111 0 18' Co. Lafc., and Lat. 36° 50' = 53° 10' Co. Lat. Long. 157° 55' "W., to Long. 174° 49' E. = j diff. Long. 13° 38. i diff. Long. 13° 38' = Sine 93723735 Sine 3 187447470 Co. Lat. Sine 99692720 Co. Lat. Sine 9-9032977 38-6173167 19-3086583 ... 19-3086583 | diff. Co. Lat. Sine ... 9-6864816 22° 4355" Tang. ... 9-6221767 ... Sine 9-5870600 31° 478" ... Sine 9-7215983 Distance, 3,81414 miles = 63° 34' 16"