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ALMANAC AND TIDE TABLE.
EXEMPLIFICATION AND CONSTRUCTION OF THE FOLLOWING TABLES.
TO FIND THE TIME OF HIGH WATER AT ANY PLACE IN THE GENERAL TIDE TABLE.
Rule. — To the time of high water at Glasgow on the given day, add or subtract the correction for the
required place as stated in the table, and the time of high water will be obtained. When the sum of the
correction, and of the time of high water in the table exceeds 12 hours, subtract 12 hours, and the remainder
will be the time of high water in the morning or evening of the given day, as the column denotes; when
the sum of the former quantities is less than 12 hours, this sum will be the time of high water required in
the evening of the preceding day, or the morning of the given day, according as the column is marked
morning or evening. Or the morning and the evening tides may be found thus : — If the morning tide be
sought, and the sum be above 12 hoars, take the time from Glasgow for the preceding evening, to which
add the correctiou for the required place; from the sum subtract 12 hours, and the remainder is the morning
tide at the place required. If the evening tide is wanted, and the sum exceed 12 hours, take the Glasgow
morning tide for the given dav, to which apply the correction for the required place, from the sum subtract
12 hours, and the remainder is the evening tide at the place required.
Required the time of high water at Peterhead, January 4, 1861.
Time of high water at Glasgow, January 4, 7 h, 26 m. p.m. §
Correction for Peterhead, — 1 13
High water at Peterhead, 6
Required the time of high water at London Bridge, January 10, 1861.
High water at Glasgow, January 10, 1 h,
Correction for London Bridge, -\~
13
40 m. P.M.
20
High water at London,
Required the time of high water at Liverpool, January 20, 1861.
High water at Glasgow, January 20, ,
Correction for Liverpool,
8 h.
4 m. P.M.
31
High water at Liverpool, 5 33
On May 2, 1861, the sun's longitude was 45° 54', and the obliquity of the ecliptic 23° 28'; required the
sun's declination.
To the log. sine of the sun's longitude at noon, 45° 54',.. 9-856201
Add the log. sine of the obliquity of ecliptic, 23° 28', 9-600118
Is the sine of the sun's declination, 1G° 37' 9'456319
Required the time of the sun's rising and setting at Glasgow in latitude 65° 52' north, longitude 4° 16'
west, on May 20, 1861.
By a table of semidiurnal arcs the approximate time of the
Sun's rising, 4 h. 8 m. Setting, 7 h. 52 m.
Longitude on time of Glasgow, "h 17 "1~ ^ 1^
4 25 8 9
The sun's declination reduced to these times is 19° 58' and 20° 6', and the polar distances are 70° 2' and
69° 54'. The horizontal refraction, less the sun's parallax, is 33' — 9" = 32' 51". Hence the follow-
ing computation : —
Zenith distance, 90° 33' 90° 33'
Polar distance, 70 2 co-secant 0-026922 69 54 co-secant 0-027291
Co-latitude, 34 8 co-secant 0-250944 34 8 co-secant 0-250944
19^ 43
97 21 J
6 m
194 35
sine 9-996408 97 17|
sine 9-073891 6 44;^
Equation of time,.
2)19 318165
sine 9-672082
H.
M.
s.
1
52
42
2
3
45
24

3
40
Eqi
sine 9-996473
sine 9-069641
2)19-344349
co-sine 9-672174
H. M. S.
4 7 4S
2
8 15 36
Equation of time, 3 43
3 41 44 8 11 53
JAMES YUILLE,
Teacher of Mathematics, Navigation, and Nautical Astronomy.

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