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ALMANAC AND TIDE TABLE.
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 hours, take the time from Glasgow for the preceding evening, to which
add the correction 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 day, 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, September 10, 1857.
Time of high water at Glasgow, September 10, 6 h. 38 m. p.m.
Correction for Peterhead, — 1 2
High water at Peterhead, 5 36
Required the time of high water at London Bridge, January 20, 1857.
Time of high water at Glasgow, January 20, 8 h. 54 m., tm.
Correction for London Bridge, -\- 20
High water at London Bridge,.
14
Required the time of high water at Liverpool, Januarj' 20, 1857,
Time of high water at Glasgow, January 20, 8 h. 54 m., p.ji.
Correction for Liverpool, — 1 25
High water at Liverpool, 7 29
On May 10, 1857, the sun's longitude was 49° 44', and the obliquity of the ecliptic 23° 28', required
the sun's declination at noon.
To the log. sine of sun's longitude at noon, 49° 44', 9-882550
Add the log. sine of obliquity of ecliptic, 23° 28', 9-600118
The sum (rejecting 10° from the indices) is the sine of the sun's declina-
tion, 17° 41', = 9-482668
Required the time of the sun's rising and setting at Glasgow, in latitude 55° 52' north, longitude 4° 16'
west, on May 20, 1857.
By a table of semidiurnal arcs, the approximate time of the sun's rising and setting is —
Rising 4h. 8 m. Setting, 7 h. 52 m.
Longitude in time of Glasgow, -{- 17 -\- 17
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
G9° 54'. The horizontal refraction, less sun's parallax, is 33' — 17 9 = 90° 33' 8". Hence the foll<"wiiig
computation : —
Zenith distance 90° 33'
Polar distance, 70 2
Co-latitude, 34 8
194 43
97 2U
6 48|
n. M.
co-secant 0-026922
co-secant 250944
sine 9-996408
sine 9-073891
co-secant 0-027291
co-secant 250944
sine 9-996473
sine 9-069641
2)19-348] 65
sine 9-674082
1 52
42
2
2)19-344349
co-sine 9-672174
H. M. s.
4 7 48
2
Equation of time, .
3 45 24
3 34
8 15 36
Equation of time, 3 44
11 52
Time of rising, 3 41 40 Time of setting,
j^OXE. — The latitude of Glasgow is 55° 52' north, the longitude 4° 16' west of Greenwich; consequently
there are 17 minutes of difference of time between the clocks of Greenwich and the clocks of Glasgow, the
Greenwich time beiog earlier. The clocks of the United Kingdom are now generally adjusted to Green-
wich time.
JAMES YUILLE,
Teacher of Mathematics, Navigation, and Nautical Astronomy,
25 Clyde Place, South Side Broomielaw, Glasgow.

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