No

Characters.

Natural Numbers.

Logarithms.

Arith. Comp.
Logarithms.

3.1415926536-circum. of a circle to Dr=1 0.4971499 9.5028501
9.86960440-square of the former
0.9942997 9.0057003
0.78539816, this x square of Dr-area of C. 9.8950899 0.1049101
0.52359878, this x cube of Dr-solidity of sph. 9.7189986 0.2810014
0.07957747, this x circum. 2 of a cir. =area 8.9007902 1.0992098
57.29577951 the length of an arc-rad. in deg. 1.7581226 8.2418774
3437'.74677

206264".81

minutes 3.5362739 6.4637261 seconds 5.3144251 4.6855749

0.01745329-length of an arc of one degree 8.2418773 1.7581227
0.0002908882
minute 6.4637261 3.5362739

4.9353264 5.0646736

10800

3600:

86164.0908-time of the earth's rotation
365d 5h 48m 50s=31556930s length of tr. yr. 7.4990948 2.5009052
|365.242245-length of the trop. yr. in days 2.5625810 7.4374190
365.256389=
sid. year in days 2.5625978 7.4374022
Log. to convert sidereal into mean solar time 9.9988126 0.0011874
20".36-coefficient of aberration
1.3087778 8.6912222
.0.9666110 9.0333890

9".26 coefficient of nutation 24856 miles

mean circumference of earth 4.39543125.6045688 diameter of the earth 3.8982863 6.1017137

7912

35 Mile Geog.

36

6075.6 feet length of geogr. or naut. mile 3.7835892 6.2164108 3.7226339 6.2773661

English 5280 feet=

37 R. of N. & E. 1.15068 to 1=ratio of naut. to English mile 0.0609553 9.9390447 38 Metre

39.37079 English inches, at 62° F.

English mile

34 do

1.5951741 8.4048259

32.1908 feet-force of grav. at London 1.5077315 8.4922685

32.2041

16.0954

16.10205

59 Thermometer x Centigrade

60

61

Edinburgh 1.5079113 8.4920887 -half the above at London 1.2067015 8.7932985

Edinburgh 1.2068813 8.7931187

(32°+x) Fahrenheit xo Reaumur

(x32°) Reaumur
(32°+x) Fahrenheit

=

=

-32°) Centig.

x Centigrade

0.7933590 9.2066410

03928979 9.6071021

1.5479787 8.4520213

1.7855223 8.2144777

1.1884785 8.8115215

0.3433805 9.6566195

9.6377843 0.3622157

0.3622157 9.6377813

0.4342945 9.5657055

1.5926130 8.4073870

Edinburgh 1.5927928 8.4072072

Months.

TO FIND THE TIME OF HIGH WATER.

Years.
1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818
Sep. Nov. 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837
1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
Oct. Dec. 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875
1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894
Correction to be added to the time of High Water at Full and Change.

h m h mh mh m h mh mh mh mh m h mh mh m h mh m h m h m

29 28 27 26 24 22
30 29 28 27 25
30 29 28 26 24
30 29 27 25

25

23 21

3 112 45 22 21

5 40 14 30

0 3610 918 0 2 2112 821 31

4 37 13 54 23 42

3 44 13 19 23

3

6 5815 11

1 1110 53 19

3 112 4522 21

5 40 14 30

23

30

96

6

4

9

6 5

9

10

12

10

234567

6889

789

16 14 15 13 12 11 10
17 15 16 14 13 12 11
18 16 17 15 14 13 12 10
19 17 18 16 15 14 13 11
20 18 19 17 16 15 14 12
21 19 20 18 17 16 15 13
19 18 17 16 14
20 19 18 17 15
21 20 19 18 16
22 21 20 19 17
23 22 21 20 18 16
24 23 22 21 19 17

6

3 113 19 23

11 20 31

3

6 58 15 56

12 21 31

8 14 16 51

13 22 21

14 23 3

15 23 42

28

29

6 58 15 11
8 14 15 56
0 0 9 17 16 51
0 36 10 918 0
1 1110 53 19 18
1 4611 33 20 31
2 21 12 821 31

4 3713 54 23 42 8 1415 56
5 40 14 30 0 0 9 1716 51
6 5815 11 0 36 10 918 0
1 1110 5319 18
27 9 17 16 51 1 4611 33 20 31
28 10 9 18 2 2112 821 31
29 10 53 19 18 3 112 45 22 21
30 11 33 20 31 3 44 13 19 23
112 821 31 4 37 13 5423 42 9 17 16 51
2 12 45 22 21 5 40 14 30 0 010 918 0
3 13 19 23 3 6 5815 11
4 13 54 23 42 8 1415 56
5 14 30 0 0 9 17 16 51
15 11 0 3610 918 0 2 21 12
7 15 56 1 11 10 5319 18
8 16 51 1 46 11 33 20 31
9 18 0 2 2112 821 31
10 19 18 3 112 4522 21
918 0 2 2112 821 31
3 44 13 19 23
53 19 18 3 112 45 22 21
4 37 13 5423 42
33 20 31 3 4413 1923 3
4014 30 0 0 9 17 18 0 2 2112 821 31 4 37 13 5423 42
0 36 10 919 18 3 112 45 22 21 5 40 14 30
1 1110 53 20 31 3 44 13 19 23 3
1 4611 3321 31 4 37 13 54 23 42 8 1415 56
2 2112 822 21 5 4014 30 0 0 9 17 16 51
3 112 4523 3 6 58 15 11 0 36 10
3 44 13 19 23 42 8 1415 56 1 1110 5319 18
4 37 13 54 0 0 9 1716 51 1 46'11 33 20 31

3 112 45 22 21
3 4113 19 23 3
4 37 13 5423 42
5 40 14 30
6 58 15 11
38 14 15 56

33 20 31
821 31

45 22 21
3
3 4113 54 23 42
4 37 14 30 0 0 9 17 16 51
5 4015 11

6 58 15 11

3 112 4522 21
3 4413 1923 3
4 37 13 5423 42
5 40 14 30 0 0 9
0 3610

6 5815 11

8 14 15 56

8 14 15 56

0 36 10

1 11 10

h mh mh m
8 14 15 56 1 1110 5319 18
18
0 0 9 17 16 51 1 4611 33 20 31
33 20 31 3 4413 19 23
0 36 10 918 0 2 2112 821 31
821 31 4 37 13 54 23 8 1415 56 1 11 10 5319 18 3 112 45 22 21
5 40 14 30 0 0 9 17 16 51 1 46 11 33 20 31 3 44 13 19 23 3
6 58 15 11 0 3610 918 0 2 2112 821 31 4 37 13 5423 42
8 1415 56 1 1110 53 19 18 3 112 45 22 21 5 40 14 30 0 0
0 0 9 1716 51 1 46 11 33 20 31 3 44 13 19 23 3 6 5815 11
0 36 10 918 0 2 2112 821 31 4 37 13 5423 42 8 1415 56
1 11 10 5319 18 3 112 4522 21 5 40 14 30 0 0 9 17 16 51
1 4611 33 20 31 3 44 13 19 23 3 6 58 15 11
2 21 12 821 31 4 37 13 54 23 42 8 1415 56
5 40 14 30 0 0 9 17 16 51
0 3610 918 0
1 1110 5319 18
1 46 11 33 20 31
2 2112 821 31
3 112 4522 21
3 44 13 19 23
4 37 13 5423 42
5 40 14 30

1 4611

6 58 15 11

Moon's

Moon's Horizontal Parallax.

Transit 54 55 56' 57' 58' 59' 60' Moon's Moon's 54' 55' 56' 57' 58' 59' 60'

24

Transit Transit

Moon's
Transit

m h m 0 10 10 52 54 56 59 62 65 68 10

0-56-58 -60-62-65-69-7218

20

20 49 51

53 55 58 60 63

20

9

8

7 6 5

10 10 9

8

50 15 14 13

13 12

12

11

(PART 1.) TABLE LXVI.—For Finding the Height of the Tide.

2+ 4+ 624 0

(PART II.)

00.995a+0.1496 0.883a+0.1176 0.795a+0.0826 0 0 0 40 12 401.104a+0.0386 0.970a+0.030b0.874a+0.0216 0 10 1 2013 201.138a+0.000b 1.000a+0.0006 0.901a+0.0006 0 20 2 14 01.104a+0.0386 0.970a+0,0306 0.874a+0.0216 0 30 2 40 14 400.995a+0.1496 0.883a+0.1176 0.795a+0.0826 0 40 3 2015 20 0.853a+0.31960.750a+0.250b0.676a+0.1766 0 50 4 016 00.668a+0.527b0.587a+0.4136 0.529a+0.2906 1 0 4 40 16 400.460a+0.7496 0.413a+0.5876 0.372a+0.4126 1 10 5 2017 20 0.284a+0.9586 0.250a+0.750b0.225a+0.5276 1 20 6 018 00.133a+1.12760.117a+0.8836 0.105a+0.6216 1 30 6 4018 400.034a+1.2386 0.030a+0.9706 0.027a+0.6826 1 40 7 2019 200.000a+1.277b0.000a+1.0006 0.000a+0.7036 1 50 8 020 00.034a+1.2386 0.030a+0.970b0.027a+0.6826 2 0 8 40 20 40 0.133a+1.12760.117a+0.88360.105a+0.6216 2 10 9 20 21 20 0.284a+0.9586 0.250a+0.750b0.225a+0.5276 2 20 10 022 00.460a+0.7496 0.413a+0.5876 0.372a+0.4126 2 30 10 4022 400.668a+0.52760.587a+0.4136 0.529a+0.2906 2 40 11 2023 20 0.853a+0.31960.750a+0.250b|0 676a+ 0.1766 2 50 12 024 00.995a+0.1496 0.883a+0.1176 0.795a+ 0.0826 3 0

Diminution of the Semidiameters of the Sun and Moon on account of their Declinations.

10

0012345680

001223568

0

3

01123467

0 11 12

12

12 13 13

13

21

42 43 44 45 45 46

12 14

14

15 15 15

16

22

47 47 48 49 49 50

10 10 10 11 11 11

Moon's Transit.

19 35 35
20 39 39 40 40 41 42 30 87 88 89

TABLE LXVIII.-Difference of the Diminished Semidiameters.

36 37 37

38

29

81 82

83

84 85 86

90 91 92

Moon's Transit.

10 40 38 37 35
20 44 42 40 37 35 34 32 30

47 45 42 40 38 36 34 32 31 29 28 26 25 24 22 21 20

27

25 24

23 22 21

20 19 17

30

29

27

26 25

23 22 21

20 19

20

10

29 28 25 24 23 21 54 51 48 45 43 31 29 28 26 25 24 22 4 0 57 54 51 48 45 42 40 38 36 34 32 30 29 27 26 24 23 10 60 56 53 50 47 44 42 39 37 35 33 31 30 20 62 59 55 | 52 | 49 46 43 41 38 36 34 32 30 30 65 61 57 54 50 47 44 42 39. 37 35 33 31 40 67 63 59 55 52 48 45 42 40 38 50 70 65 61 56 53 49 46 43 40 38 36 5 0 71 67 62 57 53 50 46 43 41 38 36 33 31 10 73 68 63 58 54 50 46 43 40 38 35 33 31 20 74 69 63 58 54 50 46 43 40 37 35 32 30 30 75 69 63 58 53 49 45 42 39 36 34 32 30 28 38

34 32 31

36 | 34 | 32

50 74 68 61

56 50 46 42 39 36

6 0 72 66 59

53 48 44 40 37 34

100

1.01 +0.08+

0.46

260 50

110

0.96

0.16

0.44 250

120

0.89

0.24

0.41

130

0.79

0.30

0.36

140 0.66

0.36

0.30

1.00586 0.64404 1.00316 136.64 1.00670 0.57485 1.00362 156.25 240 60 1.00749 0.50126 1.00404 174-63 230 65 1.00820 0.42377 1.00443 191.26 220 70 1.00882 0.34302 1.00476 205.61 0.24 210 75 1.00932 0.25960 4.00503 0.16 200 80 0.17421 1.00523 225.82 0.18 0.46 0.08 190 85 0.08764 1.00535 231.08 -0.00+ + 0.47+ -0.00+ 180 90 1.00998 0.00000 1.00539 232.85

217.25

1.00968
1.00991

* In bissextile years subtract one day in the months of January and February from the number of days.