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8 ALMANAC AND TIDE TABLE.
EXEMPLIFICATION AND CONSTRUCTION OF THE FOLLOWING TABLES.
TO FIND THE TlilE OF HIGH WATER AT AKY PLACE IN THE GENERAL TIDE TABLE.
EtTLE. — 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 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 Glasgovr
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, July 10th, 1866. h. m.
High water at Glasgow, July 10th, 11 39 a.m.
Correction for Peterhead, 1 3
High water at Peterhead, 10 36 a.m.
Required the time of high water at London Bridge, August 10th, 186G. ii. m.
High water at Glasgow, August 10th, 1866, 1 56 p.m.
Correction for London Bridge, -j- 30
High water at London Bridge 2 26 p.m.
Astronomical Seasons of the Tear 1866. — Spring begins, or the sua enters Aries, March 20, 7 h.
65 m. P.M. ; summer begins, or the sun enters Cancer, June 21, 4 h. 33 m. p.m. ; autumn begins, or the sun
enters Libra, Sept. 23, 6 h. 51 m. a.m. ; winter begins, or the sun enters Capricornus, Dec. 22, h. 49 m. a.m.
July 6th, 1866, the sun's longitude is 104° 7'; and the obliquity of the ecliptic 23° 27' 14''; required
the sun's declination at noon.
To the log. sine of the sun's longitude at noon, 104° 7' 1", 9-986CS9
Add the log. sine of the obliquity of ecliptic, 23° 27' 14", 9-599896
To the sine of the sun's declination, 22° 42' 19," 9-586685
Required the time of rising and setting of the sun at Glasgow, July 10th, 1866, in lat. 55° 52' N..
long. 4° 16' W.
The approximate time of the rising and setting is :
Rising, 3 h. 32 m. Setting, 8 h. 28 m.
Longitude of Glasgow, 17 Longitude of Glasgow, 17
3 49 8 45
The sun's declination reduced to these times is 22° 18' and 22'^ 12', and the polar distances are 67° 4'2
and 67° 48' — the horizontal refraction less the sun's parallax. Hence the following computation : —
Zenith distance, 90° 33' 90° 33'
Polar distance 67 42 co-secant 0'033760 67 48 co-secant 0-033450
Co-latitude, 34 08 co-secant 0-250944 34 08 co-secant 0-250944
192 23
96 11
5 38
II.
M.
s.
1
42
48
2
3
25
36
Equation of time,.,.
+
4
57
3
30
33
Longitude iu time,.
•-t-
17

Time of rising,
3
47
33
192
29
sine 9-997466
96
14
sine 9-997425
sine 8-991943
5
41
sine 8-995768
2)19-274113
2)19-277587
sine 9-637056
co-sine 9-638793
H. M. S.
4 16 48
2
8 33 36
Equation
of time,,.. 5 3
8 38 39
Longitude in time,.. -}- 17
Time of setting, 8 55 39
JAMES YUILLE,
Teacher of Mathematics, Navigation, and Nautical Astronomy.

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