(4) 1864, January 9th, in longitude 90° 35′ E. the observed meridian altitude of the Sun's 1. 1. was 32° 12′ 45′′, bearing S., index error +2' 10", height of the eye 18 feet. Required the latitude.

(5) In latitude 26° 25′ the departure made good was 34 miles. Required the d.long. by parallel sailing.

ADDITIONAL FOR ONLY MATE.

(6) 1864, March 21st. Required the A. M. and P. M. tides at Sunderland.

(7) Required the course and distance, by Mercator's sailing, from Sunderland to Heligoland.

Sunderland-Lat. 54° 55' N.

Heligoland-Lat. 54° 11' N.

Long. 1° 21′ W.
Long. 7° 53′ E.

(8) 1864, December 11th, at 7h. 45m. A. M., apparent time at ship, in latitude 49° 10′ N., longitude 115° 45′ W., the Sun's observed rising magnetic amplitude was E. 20° 30′ S. Required the variation.

error

(9) 1864, May 24th, A. M. at ship, in latitude 20° 36′ S., the observed altitude of the Sun's 1.1. was 28° 46′ 10′′, index 4' 15", height of the eye 20 feet, time by chronoter 23d. 16h. 14m. 28s., which had been found to be 8m. 36s. fast on mean noon at Greenwich, on 15th January, and losing daily 3.5. Required the longitude by chrono

meter.

ADDITIONAL FOR FIRST MATE.

(10) 1864, June 6th, at 6h. 45m. A. M. mean time at ship, in latitude 10° 10′ N., longitude 100° W., the observed altitude of the Sun's 1. 1. was 44° 16′ 25", index error-2′ 10′′, height of the eye 18 feet; the bearing at the same time by azimuth compass was S. 81° 35′ E. Required the true azimuth and variation.

(11) 1864, October 10th, P. M. at ship, in latitude by account 47° 10′ S., longitude 100° E., the observed altitude of the Sun's 1. 1. near the meridian was 49° 12′ 40′′ N., height of the eye 12 feet, time by watch 10d. Oh. 28m. 16s., which was 4m. 16s. fast on apparent time at ship, but since the error was determined the ship has made 27 miles d.long. to the W. Required the latitude by reduction to the meridian.

ADDITIONAL FOR MASTER. (12) 1864, May 24th, the observed meridian altitude of the star Pollux, bearing N., was +4' 15", height of the 20 feet.

28° 45′ 15′′, index error Required the latitude.

(4) 1864, March 24th, in longitude 65° 45′ W., the observed meridian altitude of the Sun's 1. 1. was 26° 18′ 20′′, bearing N., index error +2′ 15′′, height of the eye 16 feet. Required the latitude.

(5) In latitude 70° 31′, the departure made good was 120 miles. Required the d.long. by parallel sailing.

ADDITIONAL FOR ONLY MATE.

(6) 1864, September 2nd. Required the A. M. and P. M. tides at Sheerness Dock Yard.

(7) Required the course and distance, by Mercator's sailing, from A to B.

Lat. A...73° 10′ S.

Lat. B...60° 12' S.

(8) 1864, October 15th, at 5.

Long. A...69° 47′ E.
Long. B...83° 15′ E.

30m. P. M., apparent time at ship, in latitude 47° 12′ N., longitude 15° 7' W., the Sun's magnetic amplitude was W. 11° 30′ N. Required the true amplitude and variation.

(9) 1864, January 3rd, P. M. at ship, in latitude 49° 25′ N., the observed altitude of the Sun's 1.1. was 24° 49', index error + 2′ 30′′, height of the eye 20 feet, time by chronometer 1h. 25m. 16s., which was slow 2m. for mean noon at Greenwich, on December 17th, 1863, and losing daily 25.5. Required the longitude by chronometer.

ADDITIONAL FOR FIRST MATE.

in

(10) 1864, August 2nd, mean time at ship 8h. 30m. A. M., latitude 36° 27' N., longitude 80° E., the Sun's bearing by compass was S. 59° 55′ E., the altitude of the Sun's 1. 1. was 39° 46′ 54′′, index error +8′12′′, height of the eye 14 feet. Required the variation.

(11) 1864, July 7th, P. M., at ship, in latitude by account 47° 5' N., longitude 152° 10′ W., the observed altitude of the Sun's 1. 1. near the meridian was 65° 11′ 24′′ S., index error + 3′ 15′′, height of the eye 20 feet, time by watch 56m. 26s. P.M., which was 50m. fast on apparent time at ship, but since the error was determined the ship has made 12 miles d.long. to the E. Required the latitude.

ADDITIONAL FOR MASTER.

(12) 1864, August 1st, the observed meridian altitude of the star Vega, bearing N., was 21° 46′ 45′′, index error + 3', height of the eye 17 feet. Required the latitude.

PAPER III.

FOR SECOND MATE.

(1) Multiply 397 by 125, by common logs. (2) Divide 365 by 15, by common logs.

(3)

(4) 1864, November 17th, in longitude 3° 19′ E., the observed meridian altitude of the Sun's 1. 1. was 28° 45', bearing S., 4' 15", height of the eye 16 feet. Required

index error

the latitude.