mmmmnn
UC-NRLF
Bq 5^3 bm
n, o. :n^o. 200
.TTTUDE, AZIMUTH,
and LINE OF POSITION
>MPR!SING TABLES FOR WORKING SIGHT OF HEAVFi^LY
BODY FOR LINE OF POSITION BY 'HIE COSINE.HAVEBSINE
FORMULA, MAKCQ SAINT HILAIRE METtiOD
AQlJIN<yS ALTITUDE WO AZ^MUTFl IT^LES FOR
UNE OF POSITION, MARCQ SAINT HILAIRE METHOD
CONTENTS
Example on inside df cmm
Tstbk I. G)rrection fo Ol^erved Altitude of Sin, Star, cr Planet
Table U. Correclioft to Obiserved Akitude of Mooc, up|>er limb, ^f •
Table ni. Logaiithiric Sinefr aflil Logarithrnic Cofinos . . «
Tabk IV, Logaritarmc !-2ayeii,ines and Natural HaYeisme^ , ,
Table V. Th§ Finding of tie Azim'jitlis , . » ,
Expiaiialion of Atfjbo'c Methoa ... ...
Table VI. AquinoV Sf^erical Traverse Table . . ; . ; . . ;- .
Table Vli, Change of Aldhide per Minute of Are of l-JoiBr An^e ^
Table Vni. Change oi Azimuth per Mi'sote of AJtiUide , . , ,
Table IX. ConveitiQMol Am^Txme .,..., ^
PUKJSHED BY TKE HYDROGRAPHIC Ornca
1 UNDER THE AUTOORmr OF THE
r SECRETARY OF THE NAVY
IThird Rcpriatl
WASHINGTON
GOVEW^MEMT HlifmKO OFfJCf,
191S
3
201.
3 IS
320
v\
\.
Example: At sea, January 15, 1916, about 8.30 a. ra., in Lat. by D. R. 30° 10^ N., Long, by D. R. 45° 15^ W.,
the sextant altitude of the sun's lower limb, bearing sout^liward and eastward, was 17° 40^ 50^'. Index correc-
tion+i" OO-"-' liright of eye, 29 feet. Watch time, 8^' 30"' W; C.-W. 3" 02"» 40». Chronometer slow of G. M. T.,
7"» 10^ Required: The altitude difference and the azimuth for laying down the line of position from the D. K.
position.
Formula: hav 2=hav (L'~(/)+cos L cos (/ ha V f
=hav (L'^d)+hav 9
Times. Declination. H. D. Eq. of T. H. D.
gh 3om iQ3 " G. M. noon, 1c
3 02 40 Jan. 15. f
______ (Jorr. S.
W. T.
C.-W.
is. 21'
18^
N. 0'
G. M. T.
. ii>
Eq. of T.
(-)toM. T.
ym lis 4 ^ o»
Corr. — .3 —
9
C. T.
G. C.
G. M. T. \
14th Jan.;
or 15th Jan.
11
32 50
7 10
S.21 ]9'.0 Corr. S. 0.1
23 40 00
- 20 00
G. M. T.
Long. W.
23 40 00
3 01 00
L. M. T. ' 20 39 00
Eq. ofT. - 9 ILl
L. A.T.
20,
= 3
29
30
48.9
n. 1
SOLUTION.
L— N. 30° lO'.O
rf-S. 21 19.0
ll.«l
log hav=9. 29213
log cos=9. 93680
log cos=9. 96922
L'-N-'d*
Calculated /i=
Observed h-Q-
Alt. diff. =
51° 29'.0
©log hav=9. 19815a
e nat hav= . 15782
nathav= . 18863
17
17
06
53
49
55
05
59
nat hav= . 34645
3' 06''=3^ 1
9-lLl Corr. 0.3
Altitude.
By obs. 17° 40' 50'
Index corr. + 1 OU
Tab. I + 8 09
/j-e-17 49 59
Azimuths. 51° E. from
Table V [as explained
in the preface to that
table].
a Since loparithraic haversines and natural haversines an: set down side by side in Table IV, the natural haversine may be found from
the logarithmic haversine without taking out the vahie of the corresponding angle.
Example: At sea, August 18, 1916, in the early morning, in Lat, by D. R. 34° 10' S., Long, by D. R. 172° 26' 30'
E., the sextant altitude of the star Sirius, bearing eastward, was 25° 48' 50'^. Index correction +3' 10". Height
of eye 40 feet. Watch time of observation, 4'» 30™ 15^ C.-W., 0>' 29"^ 45\ Chronometer fast of G. M. T., 13°» 40^
Required: The altitude difference and the azimuth for laying down the line of position from the D. R. position.
Times.
W. T.
4h 30°^ 15»
C.-W.
29 45
C. T.
C. C.
5
00
13
00
40
G. M. T.
17th Aug.
R.A.M.S.
9
46
42
20
54.5
G. S. T.
Long. E.
14
11
29
29
14.5
46
L. S. T.
R. A. star
1
6
59
41
00.5
28.2
t= 4 42 27. 7
[From Nautical Almanac]
R. A. Star. Dec. star.
Aug. 1<» 0^=(j^ 41°^ 27^ 8 S. 16° 35'. 9
Sept. 1 =6 41 28 . 6 16 35 . 8
Aug. 17'^ S^^^e 41 28 . 2 16 35 . 8
SOLUTION.
t= 4" 42'»27^7
L=S. 34° 10^
d=S. 16 35.8
log hav=9. 52381
log cos=9. 91772
log cos=9. 08152
elog hav=9. 4230^
L~d=
Calculated h=
Observed /8>j<
Alt. diff.
17° 34'. 2
64° 56' 15"
25 03 45
25 43 48
nat hav=0. 26487
nat hav=0. 02333
nat hav=0. 28820
40' 03"=40'.05
R. A. mean sun.
Aug. 17^ 0^=d^ 42™ 07«.5
Reduction"! n ^r, «
forG.M.T.r 47.0
R.A.M.S. 9 42 54.5
Altitude.
By obs. 25° 48' 50"
Index corr. + 3 10
Table I
25 52 00
-» 8 12
71*25 43 48
Azimuth S. 86° E. from
Table V [as explained
in the preface to that
table].
TABLE I
GORRECTIONS TO BE APPLIED TO
THE OBSERVED ALTITUDE OF THE
SUN'S LOWER LIMB, OR OF A
STAR OR PLANET
l^^h"
^ ;^
Page 4]
TABLE I.
Astren. (
Corrections* to be Applied to the Observed Altitude of a Star
or of the Sun 'a
Lower Limb, to Find
the True Altitude.
Obs. Alt.
HEIGHT OF THE EYE. 1
8 Feet.
9 Feet.
10 Feet.
11 Feet. 1
12 Feet.
13 Feet. 1
O
*
O
*
O
*
O
*
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Con.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
5 29
10 40
5 19
10 50
5 09
11 00
5 00
11 09
4 51
11 18
4 43
11 26
40
5 39
10 30
5 29
10 40
5 19
10 50
5 10
10 59
5 01
11 08
4 53
11 16
50
5 49
10 20
5 39
10 30
5 29
10 40
5 20
10 49
5 11
10 58
5 03
11 06
7 00
5 59
10 10
5 49
10 20
5 39
10 30
5 30
10 39
5 21
10 48
5 13
10 56
10
6 08
10 01
5 58
10 11
5 48
10 21
5 39
10 30
5 30
10 39
5 22
10 47
20
6 17
9 52
6 07
10 02
5 57
10 12
5 48
10 21
5 39
10 30
5 31
10 38
7 30
6 26
9 43
6 16
9 53
6 06
10 03
5 57
10 12
5 48
10 21
5 40
10 29
40
6 34
9 35
6 24
9 45
6 14
9 55
6 05
10 04
5 56
10 13
5 48
10 21
50
6 42
9 27
6 32
9 37
6 22
9 47
6 13
9 56
6 04
10 05
5 56
10 13
8 00
6 50
9 19
6 40
9 29
6 30
9 39
6 21
9 48
6 12
9 57
6 04
10 05
10
6 57
9 12
6 47
9 22
6 37
9 32
6 28
9 41
6 19
9 50
6 11
9 58
20
7 04
9 05
6 54
9 15
6 44
9 25
6 35
9 34
6 26
9 43
6 18
9 51
8 30
7 11
8 58
7 01
9 08
6 51
9 18
6 42
9 27
6 33
9 36
6 25
9 44
40
7 18
8 51
7 08
9 01
6 58
9 11
6 49
9 20
6 40
9 29
6 32
9 37
50
7 24
8 45
7 14
8 55
7 04
9 05
6 55
9 14
6 46
9 23
6 38
9 31
9 00
7 30
8 39
7 20
8 49
7 10
8 59
7 01
9 08
6 52
9 17
6 44
9 25
20
7 42
8 27
7 32
8 37
7 22
8 47
7 13
8 56
7 04
9 05
6 56
9 13
40
7 53
8 16
7 43
8 26
7 33
8 36
7 24
8 45
7 15
8 54
7 07
9 02
10 00
8 04
8 05
7 54
8 15
7 44
8 25
7 35
8 34
7 26
8 43
7 18
8 51
20
8 14
7 55
8 04
8 05
7 54
8 15
7 45
8 24
7 36
8 33
7 28
8 41
40
8 23
7 46
8 13
7 56
8 03
8 06
7 54
8 15
7 45
8 24
7 37
8 32
11 00
8 32
7 37
8 22
7 47
8 12
7 57
8 03
8 06
7 54
8 15
7 46
8 23
30
8 44
7 25
8 34
7 35
8 24
7 45
8 15
7 54
8 06
8 03
7 58
8 11
12 00
8 55
7 14
8 45
7 24
8 35
7 34
8 26
7 43
8 17
7 52
8 09
8 00
30
9 06
7 03
8 56
7 13
8 46
7 23
8 37
7 32
8 28
7 41
8 20
7 49
13 00
9 16
6 53
9 06
7 03
8 56
7 13
8 47
7 22
8 38
7 31
8 30
7 39
30
9 25
6 44
9 15
6 54
9 05
7 04
8 56
7 13
8 47
7 22
8 39
7 30
14 00
9 33
6 36
9 23
6 46
9 13
6 56
9 04
7 05
8 55
7 14
8 47
7 22
15 00
9 49
6 20
9 39
6 30
9 29
6 40
9 20
6 49
9 11
6 58
9 03
7 06
16 00
10 02
6 07
9 52
6 17
9 42
6 27
9 33
6 36
9 24
6 45
9 16
6 53
17 00
10 15
5 54
10 05
6 04
9 55
6 14
9 46
6 23
9 37
6 32
9 29
6 40
18 00
10 25
5 44
10 15
5 54
10 05
6 04
9 56
6 13
9 47
6 22
9 39
6 30
19 00
10 35
5 34
10 25
5 44
10 15
5 54
10 06
6 03
9 57
6 12
9 49
5 20
20 00
10 43
5 25
10 33
5 35
10 23
5 45
10 14
5 54
10 05
6 03
9 57
6 11
22 00
10 59
5 09
10 49
5 19
10 39
5 29
10 30
5 38
10 21
5 47
10 13
5 55
24 00
11 12
4 56
11 02
5 06
10 52
5 16
10 43
5 25
10 34
5 34
10 26
5 42
26 00
11 23
4 45
11 13
4 55
11 03
5 05
10 54
5 14
10 45
5 23
10 37
5 31
28 00
11 33
4 35
11 23
4 45
11 13
4 55
11 04
5 04
10 55
5 13
10 47
5 21
30 00
11 41
4 27
11 31
4 37
11 21
4 47
11 12
4 56
11 03
5 05
10 55
5 13
32 00
11 49
4 19
11 39
4 29
11 29
4 39
11 20
4 48
11 11
4 57
11 03
5 05
34 00
11 56
4 12
11 46
4 22
11 36
4 32
11 27
4 41
11 18
4 50
11 10
4 58
36 00
12 02
4 06
11 52
4 16
11 42
4 26
11 33
4 35
11 24
4 44
11 16
4 52
38 00
12 07
4 01
11 57
4 11
11 47
4 21
11 38
4 30
11 29
4 39
11 21
4 47
40 00
12 12
3 55
12 02
4 05
11 52
4 15
11 43
4 24
11 34
4 33
11 26
4 41
45 00
12 23
3 44
12 13
3 54
12 03
4 04
11 54
4 13
11 45
4 22
11 37
4 30
50 00
12 31
3 35
12 21
3 45
12 11
3 55
12 02
4 04
11 53
4 13
11 45
4 21
55 00
12 38
3 27
12 28
3 37
12 18
3 47
12 09
3 56
12 00
4 05
11 52
4 13
60 00
12 44
3 20
12 34
3 30
12 24
3 40
12 15
3 49
12 06
3 58
11 58
4 06
65 00
12 51
3 13
12 41
3 23
12 31
3 33
12 22
3 42
12 13
3 51
12 05
3 59
70 00
12 56
3 07
12 46
3 17
12 36
3 27
12 27
3 36
12 18
3 45
12 10
3 53
75 00
13 00
3 02
12 50
3 12
12 40
3 22
12 31
3 31
12 22
3 40
12 14
3 48
80 00
13 06
2 56
12 56
3 06
12 46
3 16
12 37
3 25
12 28
3 34
12 20
3 42
85 00
13 10
2 51
13 00
3 01
12 50
3 11
12 41
3 20
12 32
3 29
12 24
3 37
90 00
13 14
2 46
13 04
2 56
12 54
3 06
12 45
3 15
12 36
3 24
12 28
3 32
1
Additio
■^AL COEB.
Day
of month.
Jan.
Feb.
Mar.
Apr
May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
„
„
„
„
„
„
„
„
„
„
„
„
FOE SC
rs'9 Alt.
l9t 1
to 15th...
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+11
+16
16th
to 3l8t..
+17
+12
+4
-4
-11
-14
-13
-9
-1
+7
+14
+18
*Thecc
rrections for the ob?
erved altitude of a £
tar or Planet involves the dip
and the refraction;
md for the observed altitude
of the Sun
's lower limb, the di
p, refraction, paralls
X, and mean somidiameter, w
hich is taken at 16'.
A supplementary correction
taking ace
ount of the variatioi
1 of the Sim's semidi
ameter in the different month.
5 of the year is given
at the foot of the main table.
C3oa5A.CYN-6vvw v-> JwViX"
TABLE I.
[Page 5
Corrections to be Applied to the ObBcrved Altitude of a Star or of the Sun'e
the True Altitude — Continued.
Lower Limb, to Find
Obs. Alt.
HEIGHT OF THE EYE. 1
14 Feet.
15 Feet.
16 Feet.
17 Feet.
18 Feet.
19 Feet. 1
O
Sun's
Corr.
(+)
*
star's
Corr.
(-)
O
Sun's
Corr.
(+)
*
Star's
Corr.
(-)
O
Sun's
Corr.
(+)
star's
Corr.
(-)
O
Sun's
Corr.
(+)
*
star's
Corr.
(-)
O
Sun's
Corr.
(+)
*
star's
Corr.
(-)
O
Sun's
Corr.
(+)
*
Star's
Corr.
(-)
6 30
4 35
11 34
4 27
11 42
4 20
11 49
4 13
11 56
4 06
12 03
3 59
/ //
12 10
40
4 45
11 24
4 37
11 32
4 30
11 39
4 23
11 46
4 16
11 53
4 09
12 00
50
4 55
11 14
4 47
11 22
4 40
11 29
4 33
11 36
4 26
11 43
4 19
11 50
7 00
5 05
11 04
4 57
11 12
4 50
11 19
4 43
11 26
4 36
11 33
4 29
11 40
10
5 14
10 55
5 06
11 03
4 59
11 10
4 52
11 17
4 45
11 24
4 38
11 31
20
5 23
10 46
5 15
10 54
5 08
11 01
5 01
11 08
4 54
11 15
4 47
11 22
7 30
5 32
10 37
5 24
10 45
5 17
10 52
5 10
10 59
5 03
11 06
4 56
11 13
40
5 40
10 29
5 32
10 37
5 25
10 44
5 18
10 51
5 11
10 58
5 04
11 05
50
5 48
10 21
5 40
10 29
5 33
10 36
5 26
10 43
5 19
10 50
5 12
10 57
8 00
5 56
10 13
5 48
10 21
5 41
10 28
5 34
10 35
5 27
10 42
5 20
10 49
10
6 03
10 06
5 55
10 14
5 48
10 21
5 41
10 28
5 34
10 35
5 27
10 42
20
6 10
9 59
6 02
10 07
5 55
10 14
5 48
10 21
5 41
10 28
5 34
10 35
8 30
6 17
9 52
6 09
10 00
6 02
10 07
5 55
10 14
5 48
10 21
5 41
10 28
40 6 24
9 45
6 16
9 53
6 09
10 00
6 02
10 07
5 55
10 14
5 48
10 21
50
6 30
9 39
6 22
9 47
6 15
9 54
6 08
10 01
6 01
10 08
5 54
10 15
9 00
6 36
9 33
6 28
9 41
6 21
9 48
6 14
9 55
6 07
10 02
6 00
10 09
20
6 48
9 21
6 40
9 29
6 33
9 36
6 26
9 43
6 19
9 50
6 12
9 57
40
6 59
9 10
6 51
9 18
6 44
9 25
6 37
9 32
6 30
9 39
6 23
9 46
10 00
7 10
8 59
7 02
9 07
6 55
9 14
6 48
9 21
6 41
9 28
6 34
9 35
20
7 20
8 49
7 12
8 57
7 05
9 04
6 58
9 11
6 51
9 18
6 44
9 25
40
7 29
8 40
7 21
8 48
7 14
8 55
7 07
9 02
7 00
9 09
6 53
9 16
11 00
7 38
8 31
7 30
8 39
7 23
8 46
7 16
8 53
7 09
9 00
7 02
9 07
30
7 50
8 19
7 42
8 27
7 35
8 34
7 28
8 41
7 21
8 48
7 14
8 55
12 00
8 01
8 08
7 53
8 16
7 46
8 23
7 39
8 30
7 32
8 37
7 25
8 44
30
8 12
7 57
8 04
8 05
7 57
8 12
7 50
8 19
7 43
8 26
7 36
8 33
13 00
8 22
7 47
8 14
7 55
8 07
8 02
8 00
8 09
7 53
8 16
7 46
8 23
30
8 31
7 38
8 23
7 46
8 16
7 53
8 09
8 00
8 02
8 07
7 55
8 14
14 00
8 39
7 30
8 31
7 38
8 24
7 45
8 17
7 52
8 10
7 59
8 03
8 06
15 00
8 55
7 14
8 47
7 22
8 40
7 29
8 33
7 36
8 26
7 43
8 19
7 50
16 00
9 08
7 01
9 00
7 09
8 53
7 16
8 46
7 23
8 39
7 30
8 32
7 37
17 00
9 21
6 48
9 13
6 56
9 06
7 03
8 59
7 10
8 52
7 17
8 45
7 24
18 00
9 31
6 38
9 23
6 46
9 16
6 53
9 09
7 00
9 02
7 07
8 55
7 14
19 00
9 41
6 28
9 33
6 36
9 26
6 43
9 19
6 50
9 12
6 57
9 05
7 04
20 00
9 49
6 19
9 41
6 27
9 34
6 34
9 27
6 41
9 20
6 48
9 13
6 55
22 00
10 05
6 03
9 57
6 11
9 50
6 18
9 43
6 25
9 36
6 32
9 29
6 39
24 00
10 18
5 50
10 10
5 58
10 03
6 05
9 56
6 12
9 49
6 19
9 42
6 26
26 00
10 29
5 39
10 21
5 47
10 14
5 54
10 07
6 01
10 00
6 08
9 53
6 15
28 00
10 39
5 29
10 31
5 37
10 24
5 44
10 17
5 51
10 10
5 58
10 03
6 05
30 00
10 47
5 21
10 39
5 29
10 32
5 36
10 25
5 43
10 18
5 50
10 11
5 57
32 00
10 55
5 13
10 47
5 21
10 40
5 28
10 33
5 35
10 26
5 42
10 19
5 49
34 00
11 02
5 06
10 54
5 14
10 47
5 21
10 40
5 28
10 33
5 35
10 26
5 42
36 00
11 08
5 00
11 00
5 08
10 53
5 15
10 46
5 22
10 39
5 29
10 32
5 36
38 00
11 13
4 55
11 05
5 03
10 58
5 10
10 51
5 17
10 44
5 24
10 37
5 31
40 00
11 18
4 49
11 10
4 57
11 03
5 04
10 56
5 11
10 49
5 18
10 42
5 25
45 00
11 29
4 38
11 21
4 46
11 14
4 53
11 07
5 00
11 00
5 07
10 53
5 14
50 00
11 37
4 29
11 29
4 37
11 22
4 44
11 15
4 51
11 06
4 58
11 01
5 05
55 00
11 44
4 21
11' 36
4 29
11 29
4 36
11 22
4 43
11 15
4 50
11 08
4 57
60 00
11 50
4 14
11 42
4 22
11 35
4 29
11 28
4 36
11 21
4 43
11 14
4 50
65 00
11 57
4 07
11 49
4 15
11 42
4 22
11 35
4 29
11 28
4 36
11 21
4 43
70 00
12 02
4 01
11 54
4 09
11 47
4 16
11 40
4 23
11 33
4 30
11 26
4 37
75 00
12 06
3 56
11 58
4 04
11 51
4 11
11 44
4 18
11 37
4 25
11 30
4 32
80 00
12 12
3 50
12 04
3 58
11 57
4 05
11 50
4 12 11 43
4 19
11 36
4 26
85 00
12 16
3 45
12 08
3 53 12 01
4 00
11 54
4 07 11 47
4 14
11 40
4 21
90 00
12 20
3 40
12 12
3 48 12 05
3 55
11 58
4 02 11 51
4 09
11 44
4 16 1
1
Additional Core.
Day of Month.
Jan.
Feb.
Mar.
Apr.
May. i
rune.
July.
Aug.
Sept.
Oct.
Nov.
Dec,
//
//
//
//
//
//
//
//
//
//
It
»
FOE Sun's Alt,
lstt<
16th
)15th...
to 31st..
.+18
.+17
+15
+12
+8
+4
-4
-8 -
-11 -
-13
-14
-14
-13
-11
- 9
-5
-1
+3
+7
+11
+14
+16
+18
* The corrections for the obs
of the Sun's lower lunb, the dip
taking account of the variation
erved altitude of a Star or Planet involves the dip and the refraction;
, refraction, parallax, and mean seinidiameter, which is taken as 16'.
of the Sun's semidiameter in the difierent months of the year is given
md for the observed altitude
A supplementary correction
it the foot of the main table.
380074
Page 6]
TABLE I.
Corrections to be Applied to the Observed Altitude of a Star
or of the Sun's
Lower Limb, to Find
the True Altitude — Continued.
Ob9. Alt.
HEIGHT OF THK EYE. 1
20 Feet.
21 Feet.
22 Feet.
23 Feet.
24 Feet.
25 Feet. 1
O
*
O
*
O
*
G
*
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
star's
Sun's
Star's
Sun's
star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
/
6 30
3 52
12 17
3 46
/ //
12 23
3 39
12 30
3 33
12 36
3 27
12 42
3 21
12 48
40
4 .2
12 07
3 56
12 13
3 49
12 20
3 43
12 26
3 37
12 32
3 31
12 38
50
4 12
11 57
4 06
12 03
3 59
12 10
3 53
12 16
3 47
12 22
3 41
12 28
7 00
4 22
11 47
4 16
11 53
4 09
12 00
4 03
12 06
3 57
12 12
3 51
12 18
10
4 31
11 38
4 25
11 44
4 18
11 51
4 12
11 57
4 06
12 03
4 00
12 09
20
4 40
11 29
4 34
11 35
4 27
11 42
4 21
11 48
4 15
11 54
4 09
12 00
7 30
4 49
11 20
4 43
11 26
4 36
11 33
4 30
11 39
4 24
11 45
4 18
11 51
40
4 57
11 12
4 51
11 18
4 44
11 25
4 38
11 31
4 32
11 37
4 26
11 43
50
5 05
11 04
4 59
11 10
4 52
11 17
4 46
11 23
4 40
11 29
4 34
11 35
8 00
5 13
10 56
5 07
11 02
5 00
11 09
4 54
11 15
4 48
11 21
4 42
11 27
10
5 20
10 49
5 14
10 55
5 07
11 02
5 01
11 08
4 55
11 14
4 49
11 20
20
5 27
10 42
5 21
10 48
5 14
10 55
5 08
11 01
5 02
11 07
4 56
11 13
8 30
5 34
10 35
5 28
10 41
5 21
10 48
5 15
10 54
5 09
11 00
5 03
11 06
40
5 41
10 28
5 35
10 34
5 28
10 41
5 22
10 47
5 16
10 53
5 10
10 59
50
5 47
10 22
5 41
10 28
5 34
10 35
5 28
10 41
5 22
10 47
5 16
10 53
9 00
5 53
10 16
5 47
10 22
5 40
10 29
5 34
10 35
5 28
10 41
5 22
10 47
20
6 05
10 04
5 59
10 10
5 52
10 17
5 46
10 23
5 40
10 29
5 34
10 35
40
6 16
9 53
6 10
9 59
6 03
10 06
5 57
10 12
5 51
10 18
5 45
10 24
10 00
6 27
9 42
6 21
9 48
6 14
9 55
6 08
10 01
6 02
10 07
5 56
10 13
20
6 37
9 32
6 31
9 38
6 24
9 45
6 18
9 51
6 12
9 57
6 06
10 03
40
6 46
9 23
6 40
9 29
6 33
9 36
6 27
9 42
6 21
9 48
6 15
9 54
11 00
6 55
9 14
6 49
9 20
6 42
9 27
6 36
9 33
6 30
9 39
6 24
9 45
30
7 07
9 02
7 01
9 08
6 54
9 15'
6 48
9 21
6 42
9 27
6 36
9 33
12 00
7 18
8 51
7 12
8 57
7 05
9 04
6 59
9 10
6 53
9 16
6 47
9 22
30
7 29
8 40
7 23
8 46
7 16
8 53
7 10
8 59
7 04
9 05
6 58
9 11
13 00
7 39
8 30
7 33
8 36
7 26
8 43
7 20
8 49
7 14
8 55
7 08
9 01
30
7 48
8 21
7 42
8 27
7 35
8 34
7 29
8 40
7 23
8 46
7 17
8 52
14 00
7 56
8 13
7 60
8 19
7 43
8 26
7 37
8 32
7 31
8 38
7 25
8 44
15 00
8 12
7 57
8 06
8 03
7 59
8 10
7 53
8 16
7 47
8 22
7 41
8 28
16 00
8 25
7 44
8 19
7 50
8 12
7 57
8 06
8 03
8 00
8 09
7 54
8 15
17 00
8 38
7 31
8 32
7 37
8 25
7 44
8 19
7 50
8 13
7 56
8 07
8 02
18 00
8 48
7 21
8 42
7 27
8 35
7 34
8 29
7 40
8 23
7 46
8 17
7 52
19 00
8 58
7 11
8 52
7 17
8 45
7 24
8 39
7 30
8 33
7 36
8 27
7 42
20 00
9 06
7 02
9 00
7 08
8 53
7 15
8 47
7 21
8 41
7 27
8 35
7 33
22 00
9 22
6 46
9 16
6 52
9 09
6 59
9 03
7 05
8 57
7 11
8 51
7 17
24 00
9 35
6 33
9 29
6 39
9 22
6 46
9 16
6 52
9 10
6 58
9 04
7 04
26 00
9 46
6 22
9 40
6 28
9 33
6 35
9 27
6 41
9 21
6 47
9 15
6 53
28 00
9 56
6 12
9 50
6 18
9 43
6 25
9 37
6 31
9 31
6 37
9 25
6 43
30 00
10 04
6 04
9 58
6 10
9 51
6 17
9 45
6 23
9 39
6 29
9 33
6 35
32 00
10 12
5 56
10 06
6 02
9 59
6 09
9 53
6 15
9 47
6 21
9 41
6 27
34 00
10 19
5 49
10 13
5 55
10 06
6 02
10 00
6 08
9 54
6 14
9 48
6 20
36 00
10 25
5 43
10 19
5 49
10 12
5 56
10 06
6 02
10 00
6 08
9 54
6 14
38 00
10 30
5 38
10 24
5 44
10 17
5 51
10 11
5 57
10 05
6 03
9 59
6 09
40 00
10 35
5 32
10 29
5 38
10 22
5 45
10 16
5 51
10 10
5 57
10 04
6 03
45 00
10 46
5 21
10 40
5 27
10 33
5 34
10 27
5 40
10 21
5 46
10 15
5 52
50 00
10 54
5 12
10 48
5 18
10 41
5 25
10 35
5 31
10 29
5 37
10 23
5 43
55 00
11 01
5 04
10 55
5 10
10 48
5 17
10 42
5 23
10 36
5 29
10 30
5 35
60 00
11 07
4 57
11 01
5 03
10 54
5 10
10 48
5 16
10 42
5 22
10 36
5 28
65 00
11 14
4 50
11 08
4 56
11 01
5 03
10 55
5 09
10 49
5 15
10 43
5 21
70 00
11 19
4 44
11 13
4 50
11 06
4 57
11 00
5 03
10 54
5 09
10 48
5 15
75 00
11 23
4 39
11 17
4 45
11 10
4 52
11 04
4 58
10 58
5 04
10 52
5 10
80 00
11 29
4 33
11 23
4 39
11 16
4 46
11 10
4 52
11 04
4 58
10 58
5 04
85 00
11 33
4 28
11 27
4 34
11 20
4 41
11 14
4 47
11 08
4 53
11 02
4 59
90 00
11 37
4 23
11 31
4 29
11 24
4 36
11 18
4 42
11 12
4 48
11 06
4 54
1
Addihoi
UL Core.
Day of Month.
Jan.
Feb.
Mar.
Apr
May.
June.
July. Aug.
Sept.
Oct.
Nov.
Dec.
//
//
„
//
//
//
// tt
«
It
n
,,
Foa So
N's Alt.
Istt
ol5th....
+18
+15
f-8
-8
-13
-14
-11
-5
+3
+11
+16
16th
to 31st...
+17
+12
f-4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
*Theo
orrections for the oh
served altitude of a J
3taror Ph
met involves the dir
> and the refraction;
and for the observed altitude
of the Sun
s lower lunb, the dl
p, refraction, paralla
X, and ni(
jan semidiameter, w
hichistakenasl6'.
A supplementary correction
at the foot of the main table.
taking aco
}UQt of the variatiot
1 of the Sun's semidi
ameter in
the different month
s of the year is given
TABLE I.
[Page 7 1
Corrections*
to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb,
the True Altitude — Continued.
to Find
Obs. Alt.
HEIGHT OF THE EYE. 1
26 Feet.
27 Feet.
28 Feet.
29 Feet.
30 Feet. 1
Sun's
Corr.
(+)
*
Star's
Corr.
(-)
Sun's
Corr.
(+)
*
star's
Corr.
(-)
Sim's
Corr.
(+)
*
Star's
Corr.
(-)
Sun's
Corr.
(+)
*
star's
Corr.
(-)
Sun's
Corr.
( + )
*
star's
Corr.
(-)
e /
6 30
3 15
12 54
3 09
13 00
3 04
13 05
2 58
13 11
2 53
/ n
13 16
40
3 25
12 44
3 19
12 50
3 14
12 55
3 08
13 01
3 03
13 06
50
3 35
12 34
3 29
12 40
3 24
12 45
3 18
12 51
3 13
12 56
7 00
3 45
12 24
3 39
12 30
3 34
12 35
3 28
12 41
3 23
12 46
10
3 54
12 15
3 48
12 21
3 43
12 26
3 37
12 32
3 32
12 37
20
4 03
12 06
3 57
12 12
3 52
12 17
3 46
12 23
3 41
12 28
7 30
4 12
11 57
4 06
12 03
4 01
12 08
3 55
12 14
3 50
12 19
40
4 20
11 49
4 14
11 55
4 09
12 00
4 03
12 06
3 58
12 11
50
4 28
11 41
4 22
11 47
4 17
11 52
4 11
11 58
4 06
12 03
8 00
4 36
11 33
4 30
11 39
4 25
11 44
4 19
11 50
4 14
11 55
10
4 43
11 26
4 37
11 32
4 32
11 37
4 26
11 43
4 21
11 48
20
4 50
11 19
4 44
11 25
4 39
11 30
4 33
11 36
4 28
11 41
8 30
4 57
11 12
4 51
11 18
4 46
11 23
4 40
11 29
4 35
11 34
40
5 04
11 05
4 58
11 11
4 53
11 16
4 47
11 22
4 42
11 27
50
5 10
10 59
5 04
11 05
4 59
11 10
4 53
11 16
4 48
11 21
9 00
5 16
10 53
5 10
10 59
5 05
11 04
4 59
11 10
4 54
11 15
20
5 28
10 41
5 22
10 47
5 17
10 52
5 11
10 58
5 06
11 03
40
5 39
10 30
5 33
10 36
5 28
10 41
5 22
10 47
5 17
10 52
10 00
5 50
10 19
5 44
10 25
5 39
10 30
5 33
10 36
5 28
10 41
20
6 00
10 09
5 54
10 15
5 49
10 20
5 43
10 26
5 38
10 31
40
6 09
10 00
6 03
10 06
5 58
10 11
5 52
10 17
5 47
10 22
11 00
6 18
9 51
6 12
9 57
6 07
10 02
6 01
10 08
5 56
10 13
30
6 30
9 39
6 24
9 45
6 19
9 50
6 13
9 56
6 08
10 01
12 00
6 41
9 28
6 35
9 34
6 30
9 39
6 24
9 45
6 19
9 50
30
6 52
9 17
6 46
9 23
6 41
9 28
6 35
9 34
6 30
9 39
13 00
7 02
9 07
6 56
9 13
6 51
9 18
6 45
9 24
6 40
9 29
30
7 11
8 58
7 05
9 04
7 00
9 09
6 54
9 15
6 49
9 20
14 00
7 19
8 50
7 13
8 56
7 08
9 01
7 02
9 07
6 57
9 12
15 00
7 35
8 34
7 29
8 40
7 24
8 45
7 18
8 51
7 13
8 56
16 00
7 48
8 21
7 42
8 27
7 37
8 32
7 31
8 38
7 26
8 43
17 00
8 01
8 08
7 55
8 14
7 50
8 19
7 44
8 25
7 39
8 30
18 00
8 11
7 58
8 05
8 04
8 00
8 09
7 54
8 15
7 49
8 20
19 00
8 21
7 48
8 15
7 54
8 10
7 59
8 04
8 05
7 59
8 10
20 00
8 29
7 39
8 23
7 45
8 18
7 50
8 12
7 56
8 07
8 01
22 00
8 45
7 23
8 39
7 29
8 34
7 34
8 28
7 40
8 23
7 45
24 00
8 58
7 10
8 52
7 16
8 47
7 21
8 41
7 27
8 36
7 32
26 00
9 09
6 59
9 03
7 05
8 58
7 10
8 52
7 16
8 47
7 21
28 00
9 19
6 49
9 13
6 55
9 08
7 00
9 02
7 06
8 57
7 11
30 00
9 27
6 41
9 21
6 47
9 16
6 52
9 10
6 58
9 05
7 03
32 00
9 35
6 33
9 29
6 39
9 24
6 44
9 18
6 50
9 13
6 55
34 00
9 42
6 26
9 36
6 32
9 31
6 37
9 25
6 43
9 20
6 43
36 00
9 48
6 20
9 42
6 26
9 37
6 31
9 31
6 37
9 26
6 42
38 00
9 53
6 15
9 47
6 21
9 42
6 26
9 36
6 32
9 31
6 37
40 00
9 58
6 09
9 52
6 15
9 47
6 20
9 41
6 26
9 36
6 31
45 00
10 09
5 58
10 03
6 04
9 58
6 09
9 52
6 15
9 47
6 20
50 00
10 17
5 49
10 11
5 55
10 06
6 00
10 00
6 06
9 55
6 11
55 00
10 24
5 41
10 18
5 47
10 13
5 52
10 07
5 58
10 02
6 03
60 00
10 30
5 34
10 24
5 40
10 19
5 45
10 13
5 51
10 08
5 56
65 00
10 37
5 27
10 31
5 33
10 26
5 38
10 20
5 44
10 15
5 49
70 00
10 42
5 21
10 36
5 27
10 31
5 32
10 25
5 38
10 20
5 43
75 00
10 46
5 16
10 40
5 22
10 35
5 27
10 29
5 33
10 24
5 38
80 00
10 52
5 10
10 46
5 16
10 41
5 21
10 35
5 27
10 30
5 32
85 00
10 56
5 05
10 50
5 11
10 45
5 16
10 39
5 22
10 34
5 27
90 00
11 00
5 00
10 54
5 06
10 49
5 11
10 43
5 17
10 38
5 22
1
ADDrnONAL Co
BB.
Da
y of Month
Jan.
Feb.
Mai
. Apr. 1
klay.
June
July.
Aug.
Sept.
Oct.
Nov.
Dec.
//
/'
/
//
//
»
>f
//
//
f
/'
"
FOB Sun's Ai
-T.
1st
16t
to 15th..
hto3l8t.
..+18 ■
.-1+17 -
+15
fl2
+e
\ -
[ -4 -
- 8
-11
-13
-14
-14
-13
-11
- 9
-5
-1
+3
+7
+]
+ ]
11
L4
+16
+18
♦The correct]
of the Sun's lowei
taking account of
ons for the
■ limb, the
the variati
abserved al
Jip.refracti
an of the Si
titudeofaS
on, parallax
in'ssemidia
tar or Planet involves the dip and the refraction; and for
c, and mean semidiameter, which is taken as 16'. A supp
oneter in the different months of the year is given at the fc
the observe
lementary
tot of the m
d altitude
correction
lain table.
Page 8]
TABLE I.
Corrrectiona to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude — Continued.
Ob8. Alt.
6 30
40
50
7 00
10
20
7 30
40
50
8 00
10
20
8 30
40
50
9 00
20
40
10 00
20
40
11 00
30
12 00
30
13 00
30
14 00
15 00
16 00
17 00
18 00
19 00
20 00
22 00
24 00
26 00
28 00
30 00
32 00
34 00
36 00
38 00
40 00
45 00
50 00
55 00
60 00
65 00
70 00
75 00
80 00
85 00
90 00
HEIGHT OF THE EYE.
31 Feet.
O
Sun's
Corr.
(+)
48
58
08
18
27
36
45
53
01
09
16
23
30
37
43
49
01
12
23
33
42
51
03
14
6 25
6 35
6 44
6 52
star's
Corr.
(-)
08
21
34
44
54
8 02
8 18
8 31
8 42
8 52
9 00
9 08
9 15
9 21
9 26
9 31
9 42
9 50
9 57
10 03
10 10
10 15
10 19
10 25
10 29
10 33
13 21
13 11
13 01
12 51
12 42
12 33
12 24
12 16
12 08
12 00
11 53
11 46
11 39
11 32
11 26
11 20
11 08
10 57
10 46
10 36
10 27
10 18
10 06
9 55
9 44
9 34
9 25
9 17
9 01
8 48
8 35
8 25
8 15
8 06
32 Feet.
Sun's
Corr.
(+)
6 53
6 47
6 42
6 36
6 25
6 16
6 08
6 01
54
48
43
37
32
27
star's
Corr.
(-)
6 08
6 19
6 29
6 38
6 46
8 12
8 25
8 36
8 46
8 54
9 02
9 09
9 15
9 20
9 25
9 36
9 44
9 51
9 57
10 04
10 09
10 13
10 19
10 23
10 27
13 27
13 17
13 07
12 57
12 48
12 39
12 30
12 22
12 14
12 06
11 59
11 52
11 45
11 38
11 32
11 26
11 14
11 03
10 52
10 42
10 33
10 24
10 12
10 01
9 50
9 40
9 31
9 23
9 07
8 54
8 41
8 31
8 21
8 12
33 Feet.
O
Sun's
Corr.
(+)
56
43
32
22
14
06
6 59
6 53
6 48
6 42
6 31
6 22
6 14
07
00
54
49
43
38
33
star's
Corr.
(-)
4 32
4 38
4 50
5 01
5 12
5 22
5 31
5 40
5 52
6 03
6 14
6 24
6 33
6 41
6 57
7 10
7 23
7 33
7 43
7 51
8 07
8 20
8 31
8 41
8 49
8 57
9 04
9 10
9 15
9 20
9 31
9 39
9 46
9 52
9 59
10 04
10 08
10 14
10 18
10 22
13 32
13 22
13 12
13 02
12 53
12 44
12 35
12 27
12 19
12 11
12 04
11 57
11 50
11 43
11 37
11 31
11 19
11 08
10 57
10 47
10 38
10 29
10 17
10 06
9 55
9 45
9 36
9 28
9 12
8 59
8 46
8 36
8 26
8 17
8 01
34 Feet.
Sun's
Corr.
(+)
6 58
6 53
6 47
6 36
6 27
6 19
6 12
6 05
32
42
52
02
11
20
29
37
45
53
00
07
14
21
27
33
45
56
07
17
26
35
47
58
09
6 19
6 28
6 36
52
05
18
28
38
46
8 02
8 15
8 26
8 36
8 44
8 52
8 59
9 05
9 10
9 15
9 26
9 34
9 41
9 47
9 54
9 59
10 03
10 09
10 13
10 17
Star's
Corr.
(-)
13 37
13 27
13 17
13 07
12 58
12 49
12 40
12 32
12 24
12 16
12 09
12 02
11 55
11 48
11 42
11 36
11 24
11 13
11 02
10 52
10 43
10 34
10 22
10 11
10 00
9 50
9 41
9 33
9 17
9 04
8 51
8 41
8 31
8 22
35 Feet.
8 06
7 53
7 42
7 32
7 24
7 16
7 09
7 03
6 58
6 52
6 41
6 32
6 24
6 17
6 10
6 04
5 59
5 53
5 48
5 43
O
Sun's
Corr.
(+)
27
37
47
57
06
15
24
32
40
48
55
02
09
16
22
28
40
51
02
12
5 21
5 30
5 42
5 53
6 04
6 14
6 23
6 31
6 47
7 00
7 13
7 23
7 33
7 41
7 57
8 10
8 21
8 31
S 39
8 47
8 54
9 00
9 05
9 10
9 21
9 29
9 36
9 42
9 49
9 54
9 58
10 04
10 08
10 12
Star's
Corr.
(-)
13 42
13 32
13 22
13 12
13 03
12 54
12 45
12 37
12 29
12 21
12 14
12 07
12 00
11 53
11 47
11 41
11 29
11 18
11 07
10 57
10 48
10 39
10 27
10 16
10 05
9 55
9 46
9 38
9 22
9 09
8 56
8 46
8 30
8 27
8 11
7 58
7 47
7 37
7 29
7 21
7 14
7 08
7 03
6 57
6 46
6 37
6 29
6 22
6 15
6 09
6 04
5 58
5 53
5 48
Additional Coer.
FOB Sun's Alt.
Day of Month.
1st to 15th....
16th to 31st...
Jan.
Feb.
Mar.
Apr.
May.
June.
July.
Aug.
Sept.
Oct.
Nov.
+18
+17
+15
+12
+8
+4
-4
- 8
-11
-13
-14
-14
-13
ir
-11
- 9
-5
-1
+3
+7
+11
+14
Dec.
+16
+18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun'slower limb, the dip, refraction, parallax, and mean semldiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.
TABLE I.
[Page 9
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude — Contiuued.
Obii. Alt.
6 30
40
50
7 00
10
20
7 30
40
50
8 00
10
20
8 30
40
50
9 00
20
40
10 00
20
40
11 00
30
12 00
30
13 00
30
14 00
15 00
16 00
17 00
18 00
19 GO
20 00
22 00
24 00
26 00
28 00
30 00
32 00
34 00
36 00
38 00
40 00
45 00
50 00
55 00
60 00
65 00
70 00
75 00
80 00
85 00
90 00
HEIGHT OF THE EYE.
36 Feet.
O
Sun's
Corr.
(+)
2 22
2 32
2 42
2 52
01
10
19
27
35
43
50
57
04
11
17
23
35
46
57
07
16
25
37
star's
Corr.
(-)
8 05
8 16
8 26
8 34
8 42
8 49
8 55
9 00
9 05
9 16
9 24
31
37
44
49
53
59
10 03
10 07
13 47
13 37
13 27
13 17
13 08
12 59
12 50
12 42
12 34
12 26
12 19
12 12
12 05
11 58
11 52
11 46
11 34
11 23
11 12
11 02
10 53
10 44
10 32
10 21
10 10
10 00
9 51
9 43
9 27
9 14
9 01
8 51
8 41
8 32
8 16
8 03
37 Feet.
O
Sun's
Corr.
(+)
2 17
2 27
2 37
2 47
2 56
05
14
22
30
38
45
52
59
06
12
18
30
41
52
02
11
20
32
43
54
04
13
21
37
50
03
13
23
31
47
8 00
8 11
8 21
8 29
8 37
8 44
8 50
8 55
9 00
9 11
9 19
9 26
9 32
9 39
9 44
9 48
9 54
9 58
10 02
Star's
Corr.
(-)
13 52
13 42
13 32
13 22
13 13
13 04
12 55
12 47
12 39
12 31
12 24
12 17
12 10
12 03
11 57
11 51
11 39
11 28
11 17
11 07
10 58
10 49
10 37
10 26
10 15
10 05
9 56
9 48
9 32
9 19
9 06
8 56
8 46
8 37
8 21
8 08
7 57
47
39
31
24
18
13
07
38 Feet.
7
7
7
7
7
7
7
6 56
6 47
6 39
6 32
6 25
6 19
6 14
6 08
6 03
5 58
O
Sun's
Corr.
(+)
2
2
2
2
2
3
3 10
3 18
26
34
41
48
55
02
08
14
26
37
48
58
07
16
28
39
50
00
09
6 17
6 33
46
59
09
19
27
43
56
07
8 17
8 25
8 33
8 40
8 46
8 51
8 56
9 07
9 15
9 22
9 28
9 35
9 40
9 44
9 50
9 54
9 58
star's
Corr.
(-)
13 56
13 46
13 36
13 26
13 17
13 08
12 59
12 51
12 43
12 35
12 28
12 21
12 14
12 07
12 01
11 55
11 43
11 32
11 21
11 11
39 Feet.
11 02
10 53
10 41
10 30
10 19
10 09
10 00
9 52
9 36
9 23
9 10
9 00
8 50
8 41
8 25
8 12
8 01
7 51
7 43
7 35
7 28
7 22
7 17
7 11
7 00
6 51
6 43
6 36
6 29
6 23
6 18
6 12
6 07
6 02
o
Sun's
Corr.
(+)
2 08
2 18
2 28
2 38
2 47
2 56
6 28
6 41
6 54
7 04
7 14
7 22
7 38
7 51
8 02
8 12
8 20
8 28
8 35
8 41
8 46
8 51
9 02
9 10
9 17
9 23
9 30
9 35
9 39
9 45
9 49
9 53
Star's
Corr.
(-)
14 01
13 51
13 41
13 31
13 22
13 13
13 04
12 56
12 48
12 40
12 33
12 26
12 19
12 12
12 06
12 00
11 48
11 37
11 26
11 16
11 07
10 58
10 46
10 35
10 24
10 14
10 05
9 57
9 41
9 28
9 15
9 05
8 55
8 46
8 30
8 17
8 06
40 Feet.
6 12
6 07
Sun's
Corr.
(+)
03
13
23
33
42
51
00
08
16
24
3]
38
45
52
58
04
16
27
38
48
57
06
18
29
5 40
5 50
5 59
6 07
6 23
6 36
6 49
6 59
7 09
7 17
7 33
7 46
7 57
8 07
8 15
8 23
8 30
8 36
8 41
8 4G
8 57
9 05
9 12
9 18
9 25
9 30
9 34
9 40
9 44
9 48
star's
Corr.
(-)
14 06
13 56
13 46
13 36
13 27
13 18
13 09
13 01
12 53
12 45
12 38
12 31
12 24
12 17
12 11
12 05
11 53
11 42
11 31
11 21
11 12
11 03
10 51
10 40
10 29
10 19
10 10
10 02
9 46
8 51
8 35
8 22
8 11
8 01
53
45
38
32
27
21
10
7 01
6 53
6 46
6 39
6 33
6 28
6 22
6 17
6 12
Additional Cork.
FOE Sun's Alt.
Day of Month.
l8ttol5th...
16th to 31st. .
Jan. Feb.
Mar.
Apr.
May.
June.
July.
Aug.
Sept.
Oct.
Nov.
+18 +15
+17 +12
+8
+4
-4
- 8
-11
-13
-14
-14
-13
-11
- 9
-5
-1
+3
+7
+11
+14
Dec
+16
+18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.
Page 10]
TABLE I.
Corrections* to
be Applied to the Observed Altitude of a Star
or of the Sun's Lower Limb, to Find
the True Altitude — Continued. 1
HEIGHT OF THE EYE. 1
41 Feet.
43 Feet. 1
43 Feet. 1
44 Feet. 1
45 Feet.
46 Feet. 1
Obs. Alt.
O
*
O
♦
O
*
O
*
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
1 58
14 11
1 54
14 15
1 49
1 II
14 20
1 44
14 25
1 39
14 30
/ II
1 35
/ II
14 34
40
2 08
14 01
2 04
14 05
1 59
14 10
1 54
14 15
1 49
14 20
1 45
14 24
50
2 18
13 51
2 14
13 55
2 09
14 00
2 04
14 05
1 59
14 10
1 55
14 14
7 00
2 28
13 41
2 24
13 45
2 19
13 50
2 14
13 55
2 09
14 00
2 05
14 04
10
2 37
13 32
2 33
13 36
2 28
13 41
2 23
13 46
2 18
13 51
2 14
13 55
20
2 46
13 23
2 42
13 27
2 37
13 32
2 32
13 37
2 27
13 42
2 23
13 46
7 30
2 55
13 14
2 51
13 18
2 46
13 23
2 41
13 28
2 36
13 33
2 32
13 37
40
3 03
13 06
2 59
13 10
2 54
13 15
2 49
13 20
2 44
13 25
2 40
13 29
50
3 11
12 58
3 07
13 02
3 02
13 07
2 57
13 12
2 52
13 17
2 48
13 21
8 00
3 19
12 50
3 15
12 54
3 10
12 59
3 05
13 04
3 00
13 09
2 56
13 13
10
3 26
12 43
3 22
12 47
3 17
12 52
3 12
12 57
3 07
13 02
3 03
13 06
20
3 33
12 36
3 29
12 40
3 24
12 45
3 19
12 50
3 14
12 55
3 10
12 59
8 30
3 40
12 29
3 36
12 33
3 31
12 38
3 26
12 43
3 21
12 48
3 17
12 52
40
3 47
12 22
3 43
12 26
3 38
12 31
3 33
12 36
3 28
12 41
3 24
12 45
50
3 53
12 16
3 49
12 20
3 44
12 25
3 39
12 30
3 34
12 35
3 30
12 39
9 00
3 59
12 10
3 55
12 14
3 50
12 19
3 45
12 24
3 40
12 29
3 36
12 33
20
4 11
11 58
4 07
12 02
4 02
12 07
3 57
14 12
3 52
12 17
3 48
12 21
40
4 22
11 47
4 18
11 51
4 13
11 56
4 08
12 01
4 03
12 06
3 59
12 10
10 00
4 33
11 36
4 29
11 40
4 24
11 45
4 19
11 50
4 14
11 55
4 10
11 59
20
4 43
11 26
4 39
11 30
4 34
11 35
4 29
11 40
4 24
11 45
4 20
11 49
40
4 52
11 17
4 48
11 21
4 43
11 26
4 38
11 31
4 33
11 36
4 29
11 40
11 00
5 01
11 08
4 57
11 12
4 52
11 17
4 47
11 22
4 42
11 27
4 38
11 31
30
5 13
10 56
5 09
11 00
5 04
11 05
4 59
11 10
4 54
11 15
4 50
11 19
12 00
5 24
10 45
5 20
10 49
5 15
10 54
5 10
10 59
5 05
11 04
5 01
11 08
30
5 35
10 34
5 31
10 38
5 26
10 43
5 21
10 48
5 16
10 53
5 12
10 57
13 00
5 45
10 24
5 41
10 28
5 36
10 33
5 31
10 38
5 26
10 43
5 22
10 47
30
5 54
10 15
5 50
10 19
5 45
10 24
5 40
10 29
5 35
10 34
5 31
10 38
14 00
6 02
10 07
5 58
10 11
5 53
10 16
5 48
10 21
5 43
10 26
5 39
10 30
15 00
6 18
9 51
6 14
9 55
6 09
10 00
6 04
10 05
5 59
10 10
5 55
10 14
16 00
6 31
9 38
6 27
9 42
6 22
9 47
6 17
9 52
6 12
9 57
6 08
10 01
17 00
6 44
9 25
6 40
9 29
6 35
9 34
6 30
9 39
6 25
9 44
6 21
9 48
18 00
6 54
9 15
6 50
9 19
6 45
9 24
6 40
9 29
6 35
9 34
6 31
9 38
19 00
7 04
9 05
7 00
9 09
6 55
9 14
6 50
9 19
6 45
9 24
6 41
9 28
20 00
7 12
8 56
7 08
9 00
7 03
9 05
6 58
9 10
6 53
9 15
6 49
9 19
22 00
7 28
8 40
7 24
8 44
7 19
8 49
7 14
8 54
7 09
8 59
7 05
9 03
24 00
7 41
8 27
7 37
8 31
7 32
8 36
7 27
8 41
7 22
8 46
7 18
8 50
26 00
7 52
8 16
7 48
8 20
7 43
8 25
7 38
8 30
7 33
8 35
7 29
8 39
28 00
8 02
8 06
7 58
8 10
7 53
8 15
7 48
8 20
7 43
8 25
7 39
8 29
30 00
8 10
7 58
8 06
8 02
8 01
8 07
7 56
8 12
7 51
8 17
7 47
8 21
32 00
8 18
7 50
8 14
7 54
8 09
7 59
8 04
8 04
7 59
8 09
7 55
8 13
34 00
8 25
7 43
8 21
7 47
8 16
7 52
8 11
7 57
8 06
8 02
8 02
8 06
36 00
8 31
7 37
8 27
7 41
8 22
7 46
8 17
7 51
8 12
7 56
8 08
8 00
38 00
8 36
7 32
8 32
7 36
8 27
7 41
8 22
7 46
8 17
7 51
8 13
7 55
40 00
8 41
7 26
8 37
7 30
8 32
7 35
8 27
7 40
8 22
7 45
8 18
7 49
45 00
8 52
7 15
8 48
7 19
8 43
7 24
8 38
7 29
8 33
7 34
8 29
7 38
50 00
9 00
7 06
8 56
7 10
8 51
7 15
8 46
7 20
8 41
7 25
8 37
7 29
55 00
9 07
6 58
9 03
7 02
8 58
7 07
8 53
7 12
8 48
7 17
8 44
7 21
60 00
9 13
6 51
9 09
6 55
9 04
7 00
8 59
7 05
8 54
7 10
8 50
7 14
65 00
9 20
6 44
9 16
6 48
9 11
6 53
9 06
6 58
9 01
7 03
8 57
7 07
70 00
9 25
6 38
9 21
6 42
9 16
6 47
9 11
6 52
9 06
6 57
9 02
7 01
75 00
9 29
6 33
9 25
6 37
9 20
6 42
9 15
6 47
9 10
6 52
9 06
6 56
80 00
9 35
6 27
9 31
6 31
9 26
6 36
9 21
6 41
•9 16
6 46
9 12
6 50
85 00
9 39
6 22
9 35
6 26
9 30
6 31
9 25
6 36
9 20
6 41
9 16
6 45
90 00
9 43
6 17
9 39
6 21
9 34
6 26
9 29
6 31
9 24
6 36
9 20
6 40
1
Additio
NAL Core
Day of Month.
Jan.
Feb.
Mar.
Apr
. May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
„
„
II
II
„
„
II
„
„
II
//
FOR St.
ra's Alt.
1st
to 15th....
+18
+15
+8
c
- 8
-13
-14
-11
-5
+3
+11
+16
16tt
I to 31st...
+17
+ 12
+4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
*The
correction
sfortheol
)served altitude of a
Star or Planet involves the dij
) and the refraction; and for the observed altitude
of the Sun
's lower 111
nb.thedi
p, refraction, paralla
X, and mean semidiameter, w
hich is taken as 16'. A supplementary correction
is of the year is given at the foot of the main table.
taking aco
ount of th
3 variatior
I of the Sun's semid
ameter in the difierent month
TABLE I. [Page 11
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun'a Lower Limb, to Find |
the True Altitude — Continued. 1
HEIGHT OF THE EYE. |
47 Feet.
48 Feet. 1
49 Feet. 1
50 Feet.
51 Feet.
52 Feet. 1
Obs. Alt.
O
*
O
*
o
*
O
*
O
*
oO,
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
star's
Sun's
Star's
Con.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
1 31
14 38
1 27
14 42
1 23
/ J/
14 46
1 19
14 50
1 15
/ II
14 54
1 11
14 58
40
1 41
14 28
1 37
14 32
1 33
14 36
1 29
14 40
1 25
14 44
1 21
14 48
50
1 51
14 18
1 47
14 22
1 43
14 26
1 39
14 30
1 35
14 34
1 31
14 38
7 00
2 01
14 08
1 57
14 12
1 53
14 16
1 49
14 20
1 45
14 24
1 41
14 28
10
2 10
13 59
2 06
14 03
2 02
14 07
1 58
14 11
1 54
14 15
1 50
14 19
20
2 19
13 50
2 15
13 54
2 11
13 58
2 07
14 02
2 03
14 06
1 59
14 10
7 30
2 28
13 41
2 24
13 45
2 20
13 49
2 16
13 53
2 12
13 57
2 08
14 01
40
2 36
13 33
2 32
13 37
2 28
13 41
2 24
13 45
2 20
13 49
2 16
13 53
50
2 44
13 25
2 40
13 29
2 36
13 33
2 32
13 37
2 28
13 41
2 24
13 45
S 00
2 52
13 17
2 48
13 21
2 44
13 25
2 40
13 29
2 36
13 33
2 32
13 37
10
2 59
13 10
2 55
13 14
2 51
13 18
2 47
13 22
2 43
13 26
2 39
13 30
20
3 06
13 03
3 02
13 07
2 58
13 11
2 54
13 15
2 50
13 19
2 46
13 23
8 30
3 13
12 56
3 09
13 00
3 05
13 04
3 01
13 08
2 57
13 12
2 53
13 16
40
3 20
12 49
3 16
12 53
3 12
12 57
3 08
13 01
3 04
13 05
3 00
13 09
50
3 26
12 43
3 22
12 47
3 18
12 51
3 14
12 55
3 10
12 59
3 06
13 03
9 00
3 32
12 37
3 28
12 41
3 24
12 45
3 20
12 49
3 16
12 53
3 12
12 57
20
3 44
12 25
3 40
12 29
3 36
12 33
3 32
12 37
3 28
12 41
3 24
12 45
40
3 55
12 14
3 51
12 18
3 47
12 22
3 43
12 26
3 39
12 30
3 35
12 34
10 00
4 06
12 03
4 02
12 07
3 58
12 11
3 54
12 15
3 50
12 19
3 46
12 23
20
4 16
11 53
4 12
11 57
4 OS
12 01
4 04
12 05
4 00
12 09
3 56
12 13
40
4 25
11 44
4 21
11 48
4 17
11 52
4 13
11 56
4 09
12 00
4 05
12 04
11 00
4 34
11 35
4 30
11 39
4 26
11 43
4 22
11 47
4 18
11 51
4 14
11 55
30
4 46
11 23
4 42
11 27
4 38
11 31
4 34
11 35
4 30
11 39
4 26
11 43
12 00
4 57
11 12
4 53
11 16
4 49
11 20
4 45
11 24
4 41
11 28
4 37
11 32
30
5 08
11 01
5 04
11 05
5 00
11 09
4 56
11 13
4 52
11 17
4 48
11 21
13 00
5 18
10 51
5 14
10 55
5 10
10 59
5 06
11 03
5 02
11 07
4 58
11 11
30
5 27
10 42
5 23
10 46
5 19
10 50
5 15
10 54
5 11
10 58
5 07
11 02
14 00
5 35
10 34
5 31
10 38
5 27
10 42
5 23
10 46
5 19
10 50
5 15
10 54
15 00
5 51
10 18
5 47
10 22
5 43
10 26
5 39
10 30
5 35
10 34
5 31
10 38
16 GO
6 04
10 05
6 00
10,09
5 56
10 13
5 52
10 17
5 48
10 21
5 44
10 25
17 00
6 17
9 52
6 13
9 56
6 09
10 00
6 05
10 04
6 01
10 08
5 57
10 12
18 00
6 27
9 42
6 23
9 46
6 19
9 50
6 15
9 54
6 11
9 58
6 07
10 02
19 00
6 37
9 32
6 33
9 36
6 29
9 40
6 25
9 44
6 21
9 48
6 17
9 52
20 00
6 45
9 23
6 41
9 27
6 37
9 31
6 33
9 35
6 29
9 39
6 25
9 43
22 00
7 01
9 07
6 57
9 11
6 53
9 15
6 49
9 19
6 45
9 23
6 41
9 27
24 00
7 14
8 54
7 10
8 58
7 06
9 02
7 02
9 06
6 58
9 10
6 54
9 14
26 00
7 25
8 43
7 21
8 47
7 17
8 51
7 13
8 55
7 09
8 59
7 05
9 03
28 00
7 35
8 33
7 31
8 37
7 27
8 41
7 23
8 45
7 19
8 49
7 15
8 53
30 00
7 43
8 25
7 39
8 29
7 35
8 33
7 31
8 37
7 27
8 41
7 23
8 45
32 00
7 51
8 17
7 47
8 21
7 43
8 25
7 39
8 29
7 35
8 33
7 31
8 37
34 00
7 58
8 10
7 54
8 14
7 50
8 18
7 46
8 22
7 42
8 26
7 38
8 30
36 00
8 04
8 04
8 00
8 08
7 56
8 12
7 52
8 16
7 48
8 20
7 44
8 24
38 00
8 09
7 59
8 05
8 03
8 01
8 07
7 57
8 11
7 53
8 15
7 49
8 19
40 00
8 14
7 53
8 10
7 57
8 06
8 01
8 02
8 05
7 58
8 09
7 54
8 13
45 00
8 25
7 42
8 21
7 46
8 17
7 50
8 13
7 54
8 09
7 58
8 05
8 02
50 00
8 33
7 33
8 29
7 37
8 25
7 41
8 21
7 45
8 17
7 49
8 13
7 53
55 00
8 40
7 25
8 36
7 29
8 32
7 33
8 28
7 37
8 24
7 41
8 20
7 45
60 00
8 46
7 18
8 42
7 22
8 38
7 26
8 34
7 30
8 30
7 34
8 26
7 38
65 00
8 53
7 11
8 49
7 15
8 45
7 19
8 41
7 23
8 37
7 27
8 33
7 31
70 00
8 58
7 05
8 54
7 09
8 50
7 13
8 46
7 17
8 42
7 21
8 38
7 25
75 00
9 02
7 00
8 58
7 04
8 54
7 08
8 50
7 12
8 46
7 16
8 42
7 20
80 00
9 08
6 54
9 04
6 58
9 00
7 02
8 56
7 06
8 52
7 10
8 48
7 14
85 00
9 12
6 49
9 08
6 53
9 04
6 57
9 00
7 01
8 56
7 05
8 52
7 09
90 00
9 16
6 44
9 12
6 48
9 08
6 52
9 04
6 56
9 00
7 00
8 56
7 04
1
Additjo
NAL Core
Day of Month.
Jan.
Feb.
Mar.
Apr
. May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
//
//
//
/
ft
//
,1
II
//
//
//
It
70B Si
m'3 Alt.
1st
to 15th....
+18
+15
+8
C
- 8
-13
-14
-11
-5
+3
+ 11
+16
16tl
1 to 3l8t...
+17
+12
+4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
*The
correction
3 for the ot
)served altitude of a
Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun
's lower lii
mb.thedi
p, refraction, paralk
ix, and mean semidiameter, which is taken as 16'. A supplementary correction
ameter in the different months of the year is given at the foot of the main table.
takihgacc
ountof th
e variatioi]
I of the Sun's semid
Page 12]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star
or of the Sun's
Lower Limb, to Find
the True Altitude — Continued.
Obs. Alt.
HEIGHT OF THE EYE. 1
53 Feet.
54 Feet.
55 Feet.
56 Feet.
57 Feet.
58 Feet. 1
O
*
G
*
O
*
O
>»
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
1 07
15 02
1 03
15 06
59
15 10
/ It
55
15 14
» II
51
/ 11
15 18
48
15 21
40
1 17
14 52
1 13
14 56
1 09
15 00
1 05
15 04
1 01
15 08
58
15 11
50
1 27
14 42
1 23
14 46
1 19
14 50
1 15
14 54
1 11
14 58
1 08
15 01
7 00
1 37
14 32
1 33
14 36
1 29
14 40
1 25
14 44
1 21
14 48
1 18
14 51
10
1 46
14 23
1 42
14 27
1 38
14 31
1 34
14 35
1 30
14 39
1 27
14 42
20
1 55
14 14
1 51
14 18
1 47
14 22
1 43
14 26
1 39
14 30
1 36
14 33
7 30
2 04
14 05
2 00
14 09
1 56
14 13
1 52
14 17
1 48
14 21
1 45
14 24
40
2 12
13 57
2 08
14 01
2 04
14 05
2 00
14 09
1 56
14 13
1 53
14 16
50
2 20
13 49
2 16
13 53
2 12
13 57
2 08
14 01
2 04
14 05
2 01
14 08
8 00
2 28
13 41
2 24
13 45
2 20
13 49
2 16
13 53
2 12
13 57
2 09
14 00
10
2 35
13 34
2 31
13 38
2 27
13 42
2 23
13 46
2 19
13 50
2 16
13 53
20
2 42
13 27
2 38
13 31
2 34
13 35
2 30
13 39
2 26
13 43
2 23
13 46
8 30
2 49
13 20
2 45
13 24
2 41
13 28
2 37
13 32
2 33
13 36
2 30
13 39
40
2 56
13 13
2 52
13 17
2 48
13 21
2 44
13 25
2 40
13 29
2 37
13 32
50
3 02
13 07
2 58
13 11
2 54
13 15
2 50
13 19
2 46
13 23
2 43
13 26
9 00
3 08
13 01
3 04
13 05
3 00
13 09
2 56
13 13
2 52
13 17
2 49
13 20
20
3 20
12 49
3 16
12 53
3 12
12 57
3 08
13 01
3 04
13 05
3 01
13 08
40
3 31
12 38
3 27
12 42
3 23
12 46
3 19
12 50
3 15
12 54
3 12
12 57
10 00
3 42
12 27
3 38
12 31
3 34
12 35
3 30
12 39
3 26
12 43
3 23
12 46
20
3 52
12 17
3 48
12 21
3 44
12 25
3 40
12 29
3 36
12 33
3 33
12 36
40
4 01
12 08
3 57
12 12
3 53
12 16
3 49
12 20
3 45
12 24
3 42
12 27
11 00
4 10
11 59
4 06
12 03
4 02
12 07
3 58
12 11
3 54
12 15
3 51
12 18
30
4 22
11 47
4 18
11 51
4 14
11 55
4 10
11 59
4 06
12 03
4 03
12 06
12 00
4 33
11 36
4 29
11 40
4 25
11 44
4 21
11 48
4 17
11 52
4 14
11 55
30
4 44
11 25
4 40
11 29
4 36
11 33
4 32
11 37
4 28
11 41
4 25
11 44
13 00
4 54
11 15
4 50
11 19
4 46
11 23
4 42
11 27
4 38
11 31
4 35
11 34
30
5 03
11 06
4 59
11 10
4 55
11 14
4 51
11 18
4 47
11 22
4 44
11 25
14 00
5 11
10 58
5 07
11 02
5 03
11 06
4 59
11 10
4 55
11 14
4 52
11 17
15 00
5 27
10 42
5 23
10 46
5 19
10 50
5 15
10 54
5 11
10 58
5 08
11 01
16 00
5 40
10 29
5 36
10 33
5 32
10 37
5 28
10 41
5 24
10 45
5 21
10 48
17 00
5 53
10 16
5 49
10 20
5 45
10 24
5 41
10 28
5 37
10 32
5 34
10 35
18 00
6 03
10 06
5 59
10 10
5 55
10 14
5 51
10 18
5 47
10 22
5 44
10 25
19 00
6 13
9 56
6 09
10 00
6 05
10 04
6 01
10 08
5 57
10 12
5 54
10 15
20 00
6 21
9 47
6 17
9 51
6 13
9 55
6 09
9 59
6 05
10 03
6 02
10 06
22 00
6 37
9 31
6 33
9 35
6 29
9 39
6 25
9 43
6 21
9 47
6 18
9 50
24 00
6 50
9 18
6 46
9 22
6 42
9 26
6 38
9 30
6 34
9 34
6 31
9 37
26 00
7 01
9 07
6 57
9 11
6 53
9 15
6 49
9 19
6 45
9 23
6 42
9 26
28 00
7 11
8 57
7 07
9 01
7 03
9 05
6 59
9 09
6 55
9 13
6 52
9 16
30 00
7 19
8 49
7 15
8 53
7 11
8 57
7 07
9 01
7 03
9 05
7 00
9 08
32 00
7 27
8 41
7 23
8 45
7 19
8 49
7 15
8 53
7 11
8 57
7 08
9 00
34 00
7 34
8 34
7 30
8 38
7 26
8 42
7 22
8 46
7 18
8 50
7 15
8 53
36 00
7 40
8 28
7 36
8 32
7 32
8 36
7 28
8 40
7 24
8 44
7 21
8 47
38 00
7 45
8 23
7 41
8 27
7 37
8 31
7 33
8 35
7 29
8 39
7 26
8 42
40 00
7 50
8 17
7 46
8 21
7 42
8 25
7 38
8 29
7 34
8 33
7 31
8 36
45 00
8 01
8 06
7 57
8 10
7 53
8 14
7 49
8 18
7 45
8 22
7 42
8 25
50 00
8 09
7 57
8 05
8 01
8 01
8 05
7 57
8 09
7 53
8 13
7 50
8 16
55 00
8 16
7 49
8 12
7 53
8 08
7 57
8 04
8 01
8 00
8 05
7 57
8 08
60 00
8 22
7 42
8 18
7 46
8 14
7 50
8 10
7 54
8 06
7 58
8 03
8 01
65 00
8 29
7 35
8 25
7 39
8 21
7 43
8 17
7 47
8 13
7 51
8 10
7 54
70 00
8 34
7 29
8 30
7 33
8 26
7 37
8 22
7 41
8 18
7 45
8 15
7 48
75 00
8 38
7 24
8 34
7 28
8 30
7 32
8 26
7 36
8 22
7 40
8 19
7 43
80 00
8 44
7 18
8 40
7 22
8 36
7 26
8 32
7 30
8 28
7 34
8 25
7 37
85 00
8 48
7 13
8 44
7 17
8 40
7 21
8 36
7 25
8 32
7 29
8 29
7 32
90 00
8 52
7 08
8 48
7 12
8 44
7 16
8 40
7 20
8 36
7 24
8 33
7 27
1
Additio
NAL COER
Day of Month.
Jan.
Feb.
Mar.
Apr. May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
„
„
„
„
II
„
„
„
„
„
„
//
FOR St
m's Alt.
Ist1
to 15th....
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+ 11
+16
leti
I to 31st...
+ 17
+12
+4
-4
-11
-14
-13
- 9
-1
+7
+ 14 +18
*The
correction
sfortheol
jserved altitude of a
Star or Planet involves the dij
) and the refraction;
and for the observed altitude
of the Sun
's lower lii
mb.thedl
p, refraction, parallf
IX, and mean semidiameter, w
hichistakenasl6'.
A supplementary correction
at the foot of the main table.
taking ace
ountof th
evariatior
I of the Sun's semid
tameter in the diSerent month
is of the year is given
TABLE
I.
[Page 13
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's
Lower Limb, to Find
the True Altitude — Continued.
Obs. Alt
HEIGHT OF THE EYE. 1
59 Feet.
60 Feet.
61 Feet.
62 Feet.
63 Feet.
64 Feet. 1
G
*
O
*
O
*
O
*
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
{+)
(-)
(+)
(-)
6 30
44
15 25
40
15 29
36
15 33
32
15 37
29
15 40
25
I II
15 44
40
54
15 15
50
15 19
46
15 23
42
15 27
39
15 30
35
15 34
50
1 04
15 05
1 00
15 09
56
15 13
52
15 17
49
15 20
45
15 24
7 00
1 14
14 55
1 10
14 59
1 06
15 03
1 02
15 07
59
15 10
55
15 14
10
1 23
14 46
1 19
14 50
1 15
14 54
1 11
14 58
1 08
15 01
1 04
15 05
20
1 32
14 37
1 28
14 41
1 24
14 45
1 20
14 49
1 17
14 52
1 13
14 56
7 30
1 41
14 28
1 37
14 32
1 33
14 36
1 29
14 40
1 26
14 43
1 22
14 47
40
1 49
14 20
1 45
14 24
1 41
14 28
1 37
14 32
1 34
14 35
1 30
14 39
50
1 57
14 12
1 53
14 16
1 49
14 20
1 45
14 24
1 42
14 27
1 38
14 31
8 00
2 05
14 04
2 01
14 08
1 57
14 12
1 53
14 16
1 50
14 19
1 46
14 23
10
2 12
13 57
2 08
14 01
2 04
14 05
2 00
14 09
1 57
14 12
1 53
14 16
20
2 19
13 50
2 15
13 54
2 11
13 58
2 07
14 02
2 04
14 05
2 00
14 09
8 30
2 26
13 43
2 22
13 47
2 18
13 51
2 14
13 55
2 11
13 58
2 07
14 02
40
2 33
13 36
2 29
13 40
2 25
13 44
2 21
13 48
2 18
13 51
2 14
13 55
50
2 39
13 30
2 35
13 34
2 31
13 38
2 27
13 42
2 24
13 45
2 20
13 49
9 00
2 45
13 24
2 41
13 28
2 37
13 32
2 33
13 36
2 30
13 39
2 26
13 43
20
2 57
13 12
2 53
13 16
2 49
13 20
2 45
13 24
2 42
13 27
2 38
13 31
40
3 08
13 01
3 04
13 05
3 00
13 09
2 56
13 13
2 53
13 16
2 49
13 20
10 00
3 19
12 50
3 15
12 54
3 11
12 58
3 07
13 02
3 04
13 05
3 00
13 09
20
3 29
12 40
3 25
12 44
3 21
12 48
3 17
12 52
3 14
12 55
3 10
12 59
40
3 38
12 31
3 34
12 35
3 30
12 39
3 26
12 43
3 23
12 46
3 19
12 50
11 00
3 47
12 22
3 43
12 26
3 39
12 30
3 35
12 34
3 32
12 37
3 28
12 41
30
3 59
12 10
3 55
12 14
3 51
12 18
3 47
12 22
3 44
12 25
3 40
12 29
12 00
4 10
11 59
4 06
12 03
4 02
12 07
3 58
12 11
3 55
12 14
3 51
12 18
30
4 21
11 48
4 17
11 52
4 13
11 56
4 09
12 00
4 06
12 03
4 02
12 07
13 00
4 31
11 38
4 27
11 42
4 23
11 46
4 19
11 50
4 16
11 53
4 12
11 57
30
4 40
11 29
4 36
11 33
4 32
11 37
4 28
11 41
4 25
11 44
4 21
11 48
14 00
4 48
11 21
4 44
11 25
4 40
11 29
4 36
11 33
4 33
11 36
4 29
11 40
15 00
5 04
11 05
5 00
11 09
4 56
11 13
4 52
11 17
4 49
11 20
4 45
11 24
16 00
5 17
10 52
5 13
10 56
5 09
11 00
5 05
11 04
5 02
11 07
4 58
11 11
17 00
5 30
10 39
5 26
10 43
5 22
10 47
5 18
10 51
5 15
10 54
5 11
10 58
18 00
5 40
10 29
5 36
10 33
5 32
10 37
5 28
10 41
5 25
10 44
5 21
10 48
19 00
5 50
10 19
5 46
10 23
5 42
10 27
5 38
10 31
5 35
10 34
5 31
10 38
20 GO
5 58
10 10
5 54
10 14
5 50
10 18
5 46
10 22
5 43
10 25
5 39
10 29
22 00
6 14
9 54
6 10
9 58
6 06
10 02
6 02
10 06
5 59
10 09
5 55
10 13
24 00
6 27
9 41
6 23
9 45
6 19
9 49
6 15
9 53
<> 12
9 56
6 08
10 00
26 00
6 38
9 30
6 34
9 34
6 30
9 38
6 26
9 42
6 23
9 45
6 19
9 49
28 00
6 48
9 20
6 44
9 24
6 40
9 28
6 36
9 32
6 33
9 35
6 29
9 39
30 00
6 56
9 12
6 52
9 16
6 48
9 20
6 44
9 24
6 41
9 27
6 37
9 31
32 00
7 04
9 04
7 00
9 08
6 56
9 12
6 52
9 16
6 49
9 19
6 45
9 23
34 00
7 11
8 57
7 07
9 01
7 03
9 05
6 59
9 09
6 56
9 12
6 52
9 16
36 00
7 17
8 51
7 13
8 55
7 09
8 59
7 05
9 03
7 02
9 06
6 58
9 10
38 00
7 22
8 46
7 18
8 50
7 14
8 54
7 10
8 58
7 07
9 01
7 03
9 05
40 00
7 27
8 40
7 23
8 44
7 19
8 48
7 15
8 52
7 12
8 55
7 08
8 59
45 00
7 38
8 29
7 34
8 33
7 30
8 37
7 26
8 41
7 23
8 44
7 19
8 48
50 00
7 46
8 20
7 42
8 24
7 38
8 28
7 34
8 32
7 31
8 35
7 27
8 39
55 00
7 53
8 12
7 49
8 16
7 45
8 20
7 41
8 24
7 38
8 27
7 34
8 31
60 00
7 59
8 05
7 55
8 09
7 51
8 13
7 47
8 17
7 44
8 20
7 40
8 24
65 00
8 06
7 58
8 02
8 02
7 58
8 06
7 54
8 10
7 51
8 13
7 47
8 17
70 00
8 11
7 52
8 07
7 56
8 03
8 00
7 59
8 04
7 56
8 07
7 52
8 11
75 00
8 15
7 47
8 11
7 51
8 07
7 55
8 03
7 59
8 00
8 02
7 56
8 06
80 00
8 21
7 41
8 17
7 45
8 13
7 49
8 09
7 63
8 06
7 56
8 02
8 00
85 00
8 25
7 36
8 21
7 40
8 17
7 44
8 13
7 48
8 10
7 51
8 06
7 55
90 00
8 29
7 31
8 25
7 35
8 21
7 39
8 17
7 43
8 14
7 46
8 10
7 50
1
Additioi
fAL CORR.
Day of Month.
Jan.
Feb.
Mar.
Apr.
May. 3
rune.
July.
Aug.
Sept.
Oct.
Nov
. Dec.
,/
,1
„
,1
„
„
„
II
„
„
„
FOE Sir
N's Alt.
Istl^
15th...
.+18
+15
+8
- 8 -
-13
-14
-11
-5
+3
+11
+16
16th
to 3l8t.
..+17
+12
+4
-4
-11 -
-14
-13
- 9
-1
+7
+14
+18
*Thec
orrections for the ob
served altitude of a £
tar or Planet involv
es the dip and the refraction; (
ind for the observed altitude
of the Sun'
5 lower limb , the dip
, refraction, paralla
K, and mean semidia
meter, which is taken as 16'.
A supplementary correction
taking acco
unt of the variation
of the Sun's semidis
imeter in the differe
at months of the year is given
at the foot of the main table.
Page 14]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's
Lower Limb, to Find
the True Altitude — Continued.
Obs. Alt.
HEIGHT OF THE EYE. 1
65 Feet.
66 Feet.
67 Feet. 1
68 Feet.
69 Feet.
70 Feet. 1
O
*
O
*
O
*
O
♦
O
*
O
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
star's
Sun's
Star's
Sun's
Star's
COIT.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr,
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
21
1 It
15 48
18
15 51
14
15 55
10
15 59
07
16 02
03
16 06
40
31
15 38
28
15 41
24
15 45
20
15 49
17
15 52
13
15 56
50
41
15 28
38
15 31
34
15 35
30
15 39
27
15 42
23
15 46
7 00
51
15 18
48
15 21
44
15 25
40
15 29
37
15 32
33
15 36
10
1 00
15 09
57
15 12
53
15 16
49
15 20
46
15 23
42
15 27
20
1 09
15 00
1 06
15 03
1 02
15 07
58
15 11
55
15 14
51
15 18
7 30
1 18
14 51
1 15
14 54
1 11
14 58
1 07
15 02
1 04
15 05
1 00
15 09
40
1 26
14 43
• 1 23
14 46
1 19
14 50
1 15
.14 54
1 12
14 57
1 08
15 01
50
1 34
14 35
1 31
14 38
1 27
14 42
1 23
14 46
1 20
14 49
1 16
14 53
8 00
1 42
14 27
1 39
14 30
1 35
14 34
1 31
14 38
1 28
14 41
1 24
14 45
10
1 49
14 20
1 46
14 23
1 42
14 27
1 38
14 31
1 35
14 34
1 31
14 38
20
1 56
14 13
1 53
14 16
1 49
14 20
1 45
14 24
1 42
14 27
1 38
14 31
8 30
2 03
14 06
2 00
14 09
1 56
14 13
1 52
14 17
1 49
14 20
1 45
14 24
40
2 10
13 59
2 07
14 02
2 03
14 06
1 59
14 10
1 56
14 13
1 52
14 17
50
2 16
13 53
2 13
13 56
2 09
14 00
2 05
14 04
2 02
14 07
1 58
14 11
9 00
2 22
13 47
2 19
13 50
2 15
13 54
2 11
13 58
2 08
14 01
2 04
14 05
20
2 34
13 35
2 31
13 38
2 27
13 42
2 23
13 46
2 20
13 49
2 16
13 53
40
2 45
13 24
2 42
13 27
2 38
13 31
2 34
13 35
2 31
13 38
2 27
13 42
10 00
2 56
13 13
2 53
13 16
2 49
13 20
2 45
13 24
2 42
13 27
2 38
13 31
20
3 06
13 03
3 03
13 06
2 59
13 10
2 55
13 14
2 52
13 17
2 48
13 21
40
3 15
12 54
3 12
12 57
3 08
13 01
3 04
13 05
3 01
13 08
2 57
13 12
11 00
3 24
12 45
3 21
12 48
3 17
12 52
3 13
12 56
3 10
12 59
3 06
13 03
30
3 36
12 33
3 33
12 36
3 29
12 40
3 25
12 44
3 22
12 47
3 18
12 51
12 00
3 47
12 22
3 44
12 25
3 40
12 29
3 36
12 33
3 33
12 36
3 29
12 40
30
3 58
12 11
3 55
12 14
3 51
12 18
3 47
12 22
3 44
12 25
3 40
12 29
13 00
4 08
12 01
4 05
12 04
4 01
12 08
3 57
12 12
3 54
12 15
3 50
12 19
30
4 17
11 52
4 14
11 55
4 10
11 59
4 06
12 03
4 03
12 06
3 59
12 10
14 00
4 25
11 44
4 22
11 47
4 18
11 51
4 14
11 55
4 11
11 58
4 07
12 02
15 00
4 41
11 28
4 38
11 31
4 34
11 35
4 30
11 39
4 27
11 42
4 23
11 46
16 00
4 54
11 15
4 51
11 18
4 47
11 22
4 43
11 26
4 40
11 29
4 36
11 33
17 00
5 07
11 02
5 04
11 05
5 00
11 09
4 56
11 13
4 53
11 16
4 49
11 20
18 00
5 17
10 52
5 14
10 55
5 10
10 59
5 06
11 03
5 03
11 06
4 59
11 10
19 00
5 27
10 42
5 24
10 45
5 20
10 49
5 16
10 53
5 13
10 56
5 09
11 00
20 00
5 35
10 33
5 32
10 36
5 28
10 40
5 24
10 44
5 21
10 47
5 17
10 51
22 db
5 51
10 17
5 48
10 20
5 44
10 24
5 40
10 28
5 37
10 31
5 33
10 35
24 00
6 04
10 04
6 01
10 07
5 57
10 11
5 53
10 15
5 50
10 18
6 46
10 22
26 00
6 15
9 53
6 12
9 56
6 08
10 00
6 04
10 04
6 01
10 07
5 57
10 11
28 00
6 25
9 43
6 22
9 46
6 18
9 50
6 14
9 54
6 11
9 57
6 07
10 01
30 00
6 33
9 m
6 30
9 38
6 26
9 42
6 22
9 46
6 19
9 49
6 15
9 53
32 00
6 41
9 27
6 38
9 30
6 34
9 34
6 30
9 38
6 27
9 41
6 23
9 45
34 00
6 48
9 20
6 45
9 23
6 41
9 27
6 37
9 31
6 34
9 34
6 30
9 38
36 00
6 54
9 14
6 51
9 17
6 47
9 21
6 43
9 25
6 40
9 28
6 36
9 32
38 00
6 59
9 09
6 56
9 12
6 52
9 16
6 48
9 20
6 45
9 23
6 41
9 27
40 00
7 04
9 03
7 01
9 06
6 57
9 10
6 53
9 14
6 50
9 17
6 46
9 21
45 00
7 15
8 52
7 12
8 55
7 08
8 59
7 04
9 03
7 01
9 06
6 57
9 10
50 00
7 23
8 43
7 20
8 46
7 16
8 50
7 12
8 54
7 09
8 57
7 05
9 01
55 00
7 30
8 35
7 27
8 38
7 23
8 42
7 19
8 46
7 16
8 49
7 12
8 53
60 00
7 36
8 28
7 33
8 31
7 29
8 35
7 25
8 39
7 22
8 42
7 18
8 46
65 00
7 43
8 21
7 40
8 24
7 36
8 28
7 32
8 32
7 29
8 35
7 25
8 39
70 00
7 48
8 15
7 45
8 18
7 41
8 22
7 37
8 26
7 34
8 29
7 30
8 33
75 00
7 52
8 10
7 49
8 13
7 45
8 17
7 41
8 21
7 38
8 24
7 34
8 28
80 00
7 58
8 04
7 55
8 07
7 51
8 11
7 47
8 15
7 44
8 18
7 40
8 22
85 00
8 02
7 59
7 59
8 02
7 55
8 06
7 51
8 10
7 48
8 13
7 44
8 17
90 00
8 06
7 54
8 03
7 57
7 59
8 01
7 55
8 05
7 52
8 08
7 48
8 12
1
Additto
NAL Cork
Day of Month.
Jan.
Feb.
Mar.
Apr
. May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
n
„
It
„
n
„
„
„
„
„
„
FOE St
rN's Alt.
1st
to 15th....
+18
+15
+8
c
- 8
-13
-14
-11
-5
+3
+ 11
+16
16tl:
I to 31st...
+17
+12
+4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
*The<
jorrection.
5 for the ol
served altitude of a
Star or Planet involves the dip and the refraction;
and for the observed altitude
of the Sun
s lower lii
nb.thedi
p, refraction, paralls
X, and mean semidiameter, which is taken as 16'.
A supplementary correction
at the Toot of the main table.
taking aco
ountof th
B variation
of the Sun's semid
ameter in the different months of the year is given
TABLE I. [Page 15
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find |
the True Altitude — Continued. 1
Obs. Alt.
HEIGHT OF THE EYE. 1
71 Feet.
72 Feet.
73 Feet.
74 Feet.
75 Feet.
76 Feet. 1
Sun's
Corr.
(+)
*
*
*
*
*
*
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
O
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
6 30
00
16 09
-0 04
16 13
-0 08
16 17
-0 11
16 20
-0 14
16 23
-0 17
16 26
40
10
15 59
+0 06
16 03
+0 02
16 07
-0 01
16 10
-0 04
16 13
-0 07
16 16
50
20
15 49
16
15 53
12
15 57
+0 09
16 00
+0 06
16 03
+0 03
16 06
7 00
30
15 39
26
15 43
22
15 47
1 19
15 50
16
15 53
13
15 56
10
39
15 30
35
15 34
31
15 38
1 28
15 41
25
15 44
22
15 47
20
48
15 21
44
15 25
40
15 29
1 37
15 32
34
15 35
31
15 38
7 30
57
15 12
53
15 16
49
15 20
1 46
15 23
43
15 26
40
15 29
40
1 05
15 04
1 01
15 08
57
15 12
1 54
15 15
51
15 18
48
15 21
50
1 13
14 56
1 09
15 00
1 05
15 04
1 02
15 07
59
15 10
56
15 13
8 00
1 21
14 48
1 17
14 52
1 13
14 56
1 10
14 59
1 07
15 02
1 04
15 05
10
1 28
14 41
1 24
14 45
1 20
14 49
117
14 52
1 14
14 55
1 11
14 58
20
1 35
14 34
1 31
14 38
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
8 30
1 42
14 27
1 38
14 31
1 34
14 35
1 31
14 38
1 28
14 41
1 25
14 44
40
1 49
14 20
1 45
14 24
1 41
14 28
1 38
14 31
1 35
14 34
1 32
14 37
50
1 55
14 14
1 51
14 18
1 47
14 22
1 44
14 25
1 41
14 28
1 38
14 31
9 00
2 01
14 08
1 57
14 12
1 53
14 16
1 50
14 19
1 47
14 22
1 44
14 25
20
2 13
13 56
2 09
14 00
2 05
14 04
2 02
14 07
1 59
14 10
1 56
14 13
40
2 24
13 45
2 20
13 49
2 16
13 53
2 13
13 56
2 10
13 59
2 07
14 02
10 00
2 35
13 34
2 31
13 38
2 27
13 42
2 24
13 45
2 21
13 48
2 18
13 51
20
2 45
13 24
2 41
13 28
2 37
13 32
2 34
13 35
2 31
13 38
2 28
13 41
40
2 54
13 15
2 50
13 19
2 46
13 23
2 43
13 26
2 40
13 29
2 37
13 32
11 00
3 03
13 06
2 59
13 10
2 55
13 14
2 52
13 17
2 49
13 20
2 46
13 23
30
3 15
12 54
3 11
12 58
3 07
13 02
3 04
13 05
3 01
13 08
2 58
13 11
12 00
3 26
12 43
3 22
12 47
3 18
12 51
3 15
12 54
3 12
12 57
3 09
13 00
30
3 37
12 32
3 33
12 36
3 29
12 40
3 26
12 43
3 23
12 46
3 20
12 49
13 00
3 47
12 22
3 43
12 26
3 39
12 30
3 36
12 33
3 33
12 36
3 30
12 39
30
3 56
12 13
3 52
12 17
3 48
12 21
3 45
12 24
3 42
12 27
3 39
12 30
14 00
4 04
12 05
4 00
12 09
3 56
12 13
3 53
12 16
3 50
12 19
3 47
12 22
15 00
4 20
11 49
4 16
11 53
4 12
11 57
4 09
12 00
4 06
12 03
4 03
12 06
16 00
4 33
11 36
4 29
11 40
4 25
11 44
4 22
11 47
4 19
11 50
4 16
11 53
17 00
4 46
11 23
4 42
11 27
4 38
11 31
4 35
11 34
4 32
11 37
4 29
11 40
18 00
4 56
11 13
4 52
11 17
4 48
11 21
4 45
11 24
4 42
11 27
4 39
11 30
19 00
5 06
11 03
5 02
11 07
4 58
11 11
4 55
11 14
4 52
11 17
4 49
11 20
20 00
5 14
10 54
5 10
10 58
5 06
11 02
5 03
11 05
5 00
11 08
4 57
11 11
22 00
5 30
10 38
5 26
10 42
5 22
10 46
5 19
10 49
5 16
10 52
5 13
10 55
24 00
5 43
10 25
5 39
10 29
5 35
10 33
5 32
10 36
5 29
10 39
5 26
10 42
26 00
5 54
10 14
5 50
10 18
5 46
10 22
5 43
10 25
5 40
10 28
5 37
10 31
28 00
6 04
10 04
6 00
10 08
5 56
10 12
5 53
10 15
5 50
10 18
5 47
10 21
30 00
6 12
9 56
6 08
10 00
6 04
10 04
6 01
10 07
5 58
10 10
5 55
10 13
32 00
6 20
9 48
6 16
9 52
6 12
9 56
6 09
9 59
6 06
10 02
6 03
10 05
34 00
6 27
9 41
6 23
9 45
6 19
9 49
6 16
9 52
6 13
9 55
6 10
9 58
36 00
6 33
9 35
6 29
9 39
6 25
9 43
6 22
9 46
6 19
9 49
6 16
9 52
38 00
6 38
9 30
6 34
9 34
6 30
9 38
6 27
9 41
6 24
9 44
6 21
9 47
40 00
6 43
9 24
6 39
9 28
6 35
9 32
6 32
9 35
6 29
9 38
6 26
9 41
45 00
6 54
9 13
6 50
9 17
6 46
9 21
6 43
9 24
6 40
9 27
6 37
9 30
50 00
7 02
9 04
6 58
9 08
6 54
9 12
6 51
9 15
6 48
9 18
6 45
9 21
55 00
7 09
8 56
•7 05
9 00
7 01
9 04
6 58
9 07
6 55
9 10
6 52
9 13
60 00
7 15
8 49
7 11
8 53
7 07
8 57
7 04
9 00
7 01
9 03
6 58
9 06
65 00
7 22
8 42
7 18
8 46
7 14
8 50
7 11
8 53
7 08
8 56
7 05
8 59
70 00
7 27
8 36
7 23
8 40
7 19
8 44
7 16
8 47
7 13
8 50
7 10
8 53
75 00
7 31
8 31
7 27
8 35
7 23
8 39
7 20
8 42
7 17
8 45
7 14
8 48
80 00
7 37
8 25
7 33
8 29
7 29
8 33
7 26
8 36
7 23
8 39
7 20
8 42
85 00
7 41
8 20
7 37
8 24
7 33
8 28
7 30
8 31
7 27
8 34
7 24
8 37
90 00
7 45
8 15
+7 41
8 19
+7 37
8 23
+7 34
8 26
+7 31
8 29
+7 28
8 32
1
Additio
■^AL COER
Day of Month.
Jan.
Feb.
Mar.
Apr
May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
„
„
„
„
„
„
„
„
„
ti
„
„
FOE SU
s'a Alt.
Istt
«15th....
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+ 11
+16
16th
to 31st.. .
+17
+12
+4
-4
-11
-14 -13
- 9
-1
+7
+14
+18
*Thec
»iTections
for the oh
served altitude of a
Star or Planet involves the dip and the refraction ; and for the observed altitude
of the Sun
s lower lii
nb,thedi
), refraction, paralla
X, and mean semidiameter, which is taken as 16'. A supplementary correction
taking aca
junt of th
a variatior
I of the Sun's semid
iameter in the different months of the year is given at the footof the main table.
Page 16]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find |
the True Altitude — Continued. 1
Obs. Alt.
HEIGHT OF THE EYE. |
77 Feet. 1
78 Feet. 1
79 Feet. 1
80 Feet. 1
81 Feet. 1
82 Feet. J
^
*
*
*
*
*
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
star's
Corr.
(-)
Sun's
Corr.
star's
Corr.
(-)
Sim's
Corr.
Star's
Corr.
(-)
6 30
-0 21
16 30
-0 24
16 33
-0 28
16 37
-0 31
16 40
/ n
-0 34
16 43
-0 37
16 46
40
-0 11
16 20
-0 14
16 23
-0 18
16 27
-0 21
16 30
-0 24
16 33
-0 27
16 36
50
-0 01
16 10
-0 04
16 13
-0 08
16 17
-0 11
16 20
-0 14
16 23
-0 17
16 26
7 00
+Q 09
16 00
+0 06
16 03
+0 02
16 07
-0 01
16 10
-0 04
16 13
-0 07
16 16
10
18
15 51
15
15 54
11
15 58
+0 08
16 01
+0 05
16 04
+0 02
16 07
20
27
15 42
24
15 45
20
15 49
17
15 52
14
15 55
11
15 58
7 30
36
15 33
33
15 36
29
15 40
26
15 43
23
15 46
20
15 49
40
44
15 25
41
15 28
37
15 32
34
15 35
31
15 38
28
15 41
50
52
15 17
49
15 20
45
15 24
42
15 27
39
15 30
36
15 33
8 00
1 00
15 09
57
15 12
53
15 16
50
15 19
47
15 22
44
15 25
10
1 07
15 02
1 04
15 05
1 00
15 09
57
15 12
54
15 15
51
15 18
20
1 14
14 55
1 11
14 58
1 07
15 02
1 04
15 05
1 01
15 08
58
15 11
8 30
1 21
14 48
1 18
14 51
1 14
14 55
1 11
14 58
1 08
15 01
1 05
15 04
40
1 28
14 41
1 25
14 44
1 21
14 48
1 18
14 51
1 15
14 54
1 12
14 57
50
1 34
14 35
1 31
14 38
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
9 00
1 40
14 29
1 37
14 32
1 33
14 36
1 30
14 39
1 27
14 42
1 24
14 45
20
1 52
14 17
1 49
14 20
1 45
14 24
1 42
14 27
1 39
14 30
1 36
14 33
40
2 03
14 06
2 00
14 09
1 56
14 13
1 53
14 16
1 50
14 19
1 47
14 22
10 00
2 14
13 55
2 11
13 58
2 07
14 02
2 04
14 05
2 01
14 08
1 58
14 11
20
2 24
13 45
2 21
13 48
2 17
13 52
2 14
13 55
2 11
13 58
2 08
14 01
40
2 33
13 36
2 30
13 39
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
11 00
2 42
13 27
2 39
13 30
2 35
13 34
2 32
13 37
2 29
13 40
2 26
13 43
30
2 54
13 15
2 51
13 18
2 47
13 22
2 44
13 25
2 41
13 28
2 38
13 31
12 00
3 05
13 04
3 02
13 07
2 58
13 11
2 55
13 14
2 52
13 17
2 49
13 20
30
3 16
12 53
3 13
12 56
3 09
13 00
3 06
13 03
3 03
13 06
3 00
13 09
13 00
3 26
12 43
3 23
12 46
3 19
12 50'
3 16
12 53
3 13
12 56
3 10
12 59
30
3 35
12 34
3 32
12 37
3 28
12 41
3 25
12 44
3 22
12 47
3 19
12 50
14 00
3 43
12 26
3 40
12 29
3 36
12 33
3 33
12 36
3 30
12 39
3 27
12 42
15 00
3 59
12 10
3 56
12 13
3 52
12 17
3 49
12 20
3 46
12 23
3 43
12 26
16 00
4 12
11 57
4 09
12 00
4 05
12 04
4 02
12 07
3 59
12 10
3 56
12 13
17 00
4 25
11 44
4 22
11 47
4 18
11 51
4 15
11 54
4 12
11 57
4 09
12 00
18 00
4 35
11 34
4 32
11 37
4 28
11 41
4 25
11 44
4 22
11 47
4 19
11 50
19 00
4 45
11 24
4 42
11 27
4 38
11 31
4 35
11 34
4 32
11 37
4 29
11 40
20 00
4 53
11 15
4 50
11 18
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
22 00
5 09
10 59
5 06
11 02
5 02
11 06
4 59
11 09
4 56
11 12
4 53
11 15
24 00
5 22
10 46
5 19
10 49
5 15
10 53
5 12
10 56
5 09
10 59
5 06
11 02
26 00
5 33
10 35
5 30
10 38
5 26
10 42
5 23
10 45
5 20
10 48
5 17
10 51
28 00
5 43
10 25
5 40
10 28
5 36
10 32
5 33
10 35
5 3^
10 38
5 27
10 41
30 00
5 51
10 17
5 48
10 20
5 44
10 24
5 41
10 27
5 38
10 30
5 35
10 33
32 00
5 59
10 09
5 56
10 12
5 52
10 16
5 49
10 19
5 46
10 22
5 43
10 25
34 00
6 06
10 02
6 03
10 05
5 59
10 09
5 56
10 12
5 53
10 15
5 50
10 18
36 00
6 12
9 56
6 09
9 59
6 05
10 03
6 02
10 06
5 59
10 09
5 56
10 12
38 00
6 17
9 51
6 14
9 54
6 10
9 58
6 07
10 01
6 04
10 04
6 01
10 07
40 00
6 22
9 45
6 19
9 48
6 15
9 52
6 12
9 55
6 09
9 58
6 06
10 01
45 00
6 33
9 34
6 30
9 37
6 26
9 41
6 23
9 44
6 20
9 47
6 17
9 50
50 00
6 41
9 25
6 38
9 28
6 34
9 32
6 31
9 35
6 28
9 38
6 25
9 41
55 00
6 48
9 17
6 45
9 20
6 41
9 24
6 38
9 27
6 35
9 30
6 32
9 33
60 00
6 54
9 10
6 51
9 13
6 47
9 17
6 44
9 20
6 41
9 23
6 38
9 26
65 00
7 01
9 03
6 58
9 06
6 54
9 10
6 51
9 13
6 48
9 16
6 45
9 19
70 00
7 06
8 57
7 03
9 00
6 59
9 04
6 56
9 07
6 53
9 10
6 50
9 13
75 00
7 10
8 52
7 07
8 55
7 03
8 59
7 00
9 02
6 57
9 05
6 54
9 08
80 00
7 16
8 46
7 13
8 49
7 09
8 53
7 06
8 56
7 03
8 59
7 00
9 02
85 00
7 20
8 41
7 17
8 44
7 13
8 48
7 10
8 51
7 07
8 54
7 04
8 57
90 00
+7 24
8 36
+7 21
8 39
+7 17
8 43
+7 14
8 46
+7 11
8 49
+7 08
8 52
1
Additio
NAL Cork.
Day of Month.
Jan.
Feb.
Mar.
Apr.
May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
„
„
//
//
//
It
//
II
//
"
/'
"
FOR Si
jn's Alt.
1st
to 15th....
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+11
+16
16tl
1 to 31st...
+17
+12
+4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
*The
corrections for the ol
jserved altitude of a
Star or Planet involves the dip and the refraction; and for the observed altitude
lof theSun
's lower limb, the d
p, refraction, paralh
IX, and mean semidiameter, which is taken as 16'. A supplementary correction
ameter in the diflerent months of the year is given at the foot of the main table.
Itakingaa
»unt of the variatioi
1 of the Sun's semid
TABLE I.
[Page 17
CorrectionB* to be Applied to the Observed Altitude of a Star
or of the Sun's Lower Limb, to Find
the True Altitude — Continued. 1
Obs. Alt.
HEIGHT OF THE EYE. 1
83 Feet.
84 Feet.
85 Feet. 1
86 Feet. 1
87 Feet.
88 Feet. 1
*
*
*
«
if
*
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
O
Sun's
Corr.
Star's
Corr.
(-)
O
Sim's
Corr.
Star's
Corr.
(-)
6 30
-0 41
16 50
-0 44
16 53
-0 47
16 56
-0 50
16 59
-0 53
17 02
-0 57
17 06
40
-0 31
16 40
-0 34
16 43
-0 37
16 46
-0 40
16 49
-0 43
16 52
-0 47
16 56
50
-0 21
16 30
-0 24
16 33
-0 27
16 36
-0 30
16 39
-0 33
16 42
-0 37
16 46
7 00
-0 11
16 20
-0 14
16 23
-0 17
16 26
-0 20
16 29
-0 23
16 32
-0 27
16 36
10
-0 02
16 11
-0 05
16 14
-0 08
16 17
-0 11
16 20
-0 14
16 23
-0 18
16 27
20
+0 07
16 02
+0 04
16 05
+0 01
16 08
-0 02
16 11
-0 05
16 14
-0 09
16 18
7 30
16
15 53
13
15 56
10
15 59
+0 07
16 02
+0 04
16 05
00
16 09
40
24
15 45
21
15 48
18
15 51
15
15 54
12
15 57
+0 08
16 01
50
32
15 37
29
15 40
26
15 43
23
15 46
20
15 49
16
15 53
8 00
40
15 29
37
15 32
34
15 35
31
15 38
28
15 41
24
15 45
10
47
15 22
44
15 25
41
15 28
38
15 31
35
15 34
31
15 38
20
54
15 15
51
15 18
48
15 21
45
15 24
42
15 27
38
15 31
8 30
1 01
15 08
58
15 11
55
15 14
52
15 17
49
15 20
45
15 24
40
1 08
15 01
1 05
15 04
1 02
15 07
59
15 10
56
15 13
52
15 17
50
1 14
14 55
1 11
14 58
1 08
15 01
1 05
15 04
1 02
15 07
58
15 11
9 00
1 20
14 49
1 17
14 52
1 14
14 55
1 11
14 58
1 08
15 01
1 04
15 05
20
1 32
14 37
1 29
14 40
1 26
14 43
1 23
14 46
1 20
14 49
1 16
14 53
40
1 43
14 26
1 40
14 29
1 37
14 32
1 34
14 35
1 31
14 38
1 27
14 42
10 00
1 54
14 15
1 51
14 18
1 48
14 21
1 45
14 24
1 42
14 27
1 38
14 31
20
2 04
14 05
2 01
14 08
1 58
14 11
1 55
14 14
1 52
14 17
1 48
14 21
40
2 13
13 56
2 10
13 59
2 07
14 02
2 04
14 05
2 01
14 08
1 57
14 12
11 00
2 22
13 47
2 19
13 50
2 16
13 53
2 13
13 56
2 10
13 59
2 06
14 03
30
2 34.
13 35
2 31
13 38
2 28
13 41
2 25
13 44
2 22
13 47
2 18
13 51
12 00
2 45
13 24
2 42
13 27
2 39
13 30
2 36
13 33
2 33
13 36
2 29
13 40
30
2 56
13 13
2 53
13 16
2 50
13 19
2 47
13 22
2 44
13 25
2 40
13 29
13 00
3 06
13 03
3 03
13 06
3 00
13 09
2 57
13 12
2 54
13 15
2 50
13 19
30
3 15
12 54
3 12
12 57
3 09
13 00
3 06
13 03
3 03
13 06
2 59
13 10
14 00
3 23
12 46
3 20
12 49
3 17
12 52
3 14
12 55
% 11
12 58
3 07
13 02
15 00
3 39
12 30
3 36
12 33
3 33
12 36
3 30
12 39
3 27
12 42
3 23
12 46
16 GO
3 52
12 17
3 49
12 20
3 46
12 23
3 43
12 26
3 40
12 29
3 36
12 33
17 00
4 05
12 04
4 02
12 07
3 59
12 10
3 56
12 13
3 53
12 16
3 49
12 20
IS 00
4 15
11 54
4 12
11 57
4 09
12 00
4 06
12 03
4 03
12 06
3 59
12 10
19 00
4 25
11 44
4 22
11 47
4 19
11 50
4 16
11 53
4 13
11 56
4 09
12 00
20 00
4 33
11 35
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
4 17
11 51
22 00
4 49
11 19
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
4 33
11 35
24 00
5 02
11 06
4 59
11 09
4 56
11 12
4 53
11 15
4 50
11 18
4 46
11 22
26 00
5 13
10 55
5 10
10 58
5 07
11 01
5 04
11 04
5 01
11 07
4 57
11 11
28 00
5 23
10 45
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
5 07
11 01
30 00
5 31
10 37
5 28
10 40
5 25
10 43
5 22
10 46
5 19
10 49
5 15
10 53
32 00
5 39
10 29
5 36
10 32
5 33
10 35
5 30
10 38
5 27
10 41
5 23
10 45
34 00
5 46
10 22
5 43
10 25
5 40
10 28
5 37
10 31
5 34
10 34
5 30
10 38
36 00
5 52
10 16
5 49
10 19
5 46
10 22
5 43
10 25
5 40
10 28
5 36
10 32
38 00
5 57
10 11
5 54
10 14
5 51
10 17
5 48
10 20
5 45
10 23
5 41
10 27
40 00
6 02
10 05
5 59
10 08
5 56
10 11
5 53
10 14
5 50
10 17
5 46
10 21
45 00
6 13
9 54
6 10
9 57
6 07
10 00
6 04
10 03
6 01
10 06
5 57
10 10
50 00
6 21
9 45
6 18
9 48
6 15
9 51
6 12
9 54
6 09
9 57
6 05
10 01
55 00
6 28
9 37
6 25
9 40
6 22
9 43
6 19
9 46
6 16
9 49
6 12
9 53
60 00
6 34
9 30
6 31
9 33
6 28
9 36
6 25
9 39
6 22
9 42
6 18
9 46
65 00
6 41
9 23
6 38
9 26
6 35
9 29
6 32
9 32
6 29
9 35
6 25
9 39
70 00
6 46
9 17
6 43
9 20
6 40
9 23
6 37
9 26
6 34
9 29
6 30
9 33
75 00
6 50
9 12
6 47
9 15
6 44
9 18
6 41
9 21
6 38
9 24
6 34
9 28
80 00
6 56
9 06
6 53
9 09
6 50
9 12
6 47
9 15
6 44
9 18
6 40
9 22
85 00
7 00
9 01
6 57
9 04
6 54
9 07
6 51
9 10
6 48
9 13
6 44
9 17
90 00
+7 04
8 56
+7 01
8 59
+6 58
9 02
+6 55
9 05
+6 52
9 08
+6 48
9 12
J
Additio
NAL COEE
Day of Month.
Jan.
Feb.
Mar.
Apr
. May.
June.
July.
Aug.
Sept.
Oct.
Nov.
Dec.
n
'/
It
n
//
"
n
It
/'
11
"
//
FOB St
rN's Alt.
Istl
to 15th....
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+11
+16
16th
L to Slst...
+17
+12
+4
-4
-11
-14
-13
- 9
-1
+7
+14
+18
♦The
3orrectionj
sfortheot
served altitude of a
Star or Planet involves the dip
and the refraction; and for the observed altitude
of the Sun
's lower lii
nb, the dr
p, refraction, paralla
X, and mean semidiameter, w
hich is taken as 16'. A supplementary correction
s of the year is given at the foot of the main table.
taking ace
ount of th
evariatioi
1 of the Sun's semid
ameter in the diSerent month
55901°— IJ
Page 18]
TABLE I. 1
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find 1
the True Altitude — Continued. 1
Ob8. Alt.
HEIGHT OF THE EYE. 1
89 Feet.
90 Feet.
91 Feet.
92 Feet.
93 Feet.
94 Feet. 1
*
«
4>
*
*
Id
Son's
Con.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr,
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
6 30
1 >/
-1 00
17 09
-1 03
17 12
-1 06
17 15
-1 09
/ 1/
17 18
-1 12
17 21
-1 15
17 24
40
-0 50
16 59
-0 53
17 02
-0 56
17 05
-0 59
17 08
-1 02
17 11
-1 05
17 14
50
-0 40
16 49
-0 43
16 52
-0 46
16 55
-0 49
16 58
-0 52
17 01
-0 55
17 04
7 00
-0 30
16 39
-0 33
16 42
-0 36
16 45
-0 39
16 48
-0 42
16 51
-0 45
16 54
10
-0 21
16 30
-0 24
16 33
-0 27
16 36
-0 30
16 39
-0 33
16 42
-0 36
16 45
20
-0 12
16 21
-0 15
16 24
-0 18
16 27
-0 21
16 30
-0 24
16 33
-0 27
16 36
7 30
-0 03
16 12
-0 06
16 15
-0 09
16 18
-0 12
16 21
-0 15
16 24
-0 18
16 27
40
+0 05
16 04
+0 02
16 07
-0 01
16 10
-0 04
16 13
-0 07
16 16
-0 10
16 19
50
13
15 56
10
15 59
+0 07
16 02
+0 04
16 05
+0 01
16 08
-0 02
16 11
8 00
21
15 48
18
15 51
15
15 54
12
15 57
09
16 00
+0 06
16 03
10
28
15 41
25
15 44
22
15 47
19
15 50
16
15 53
13
15 56
20
35
15 34
32
15 37
29
15 40
26
15 43
23
15 46
20
15 49
8 30
42
15 27
39
15 30
36
15 33
33
15 36
30
15 39
27
15 42
40
49
15 20
46
15 23
43
15 26
40
15 29
37
15 32
34
15 35
50
55
15 14
52
15 17
49
15 20
46
15 23
43
15 26
40
15 29
9 00
1 01
15 08
58
15 11
55
15 14
52
15 17
49
15 20
46
15 23
20
1 13
14 56
1 10
14 59
1 07
15 02
1 04
15 05
1 01
15 08
58
15 11
40
1 24
14 45
1 21
14 48
1 18
14 51
1 15
14 54
1 12
14 57
1 09
15 00
10 00
1 35
14 34
1 32
14 37
1 29
14 40
1 26
14 43
1 23
14 46
1 20
14 49
20
1 45
14 24
1 42
14 27
1 39
14 30
1 36
14 33
1 33
14 36
1 30
14 39
40
1 54
14 15
1 51
14 18
1 48
14 21
1 45
14 24
1 42
14 27
1 39
14 30
11 00
2 03
14 06
2 00
14 09
1 57
14 12
1 54
14 15
1 51
14 18
1 48
14 21
30
2 15
13 54
2 12
13 57
2 09
14 00
2 06
14 03
2 03
14 06
2 00
14 09
12 00
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
2 14
13 55
2 11
13 58
30
2 37
13 32
2 34
13 35
2 31
13 38
2 28
13 41
2 25
13 44
2 22
13 47
13 00
2 47
13 22
2 44
13 25
2 41
13 28
2 38
13 31
2 35
13 34
2 32
13 37
30
2 56
13 13
2 53
13 16
2 50
13 19
2 47
13 22
2 44
13 25
2 41
13 28
14 00
3 04
13 05
3 01
13 08
2 58
13 11
2 55
13 14
2 52
13 17
2 49
13 20
15 00
3 20
12 49
3 17
12 52
3 14
12 55
3 11
12 58
3 08
13 01
3 05
13 04
16 00
3 33
12 36
3 30
12 39
3 27
12 42
3 24
12 45
3 21
12 48
3 18
12 51
17 00
3 46
12 23
3 43
12 26
3 40
12 29
3 37
12 32
3 34
12 35
3 31
12 38
18 00
3 56
12 13
3 53
12 16
3 50
12 19
3 47
12 22
3 44
12 25
3 41
12 28
19 00
4 06
12 03
4 03
12 06
4 00
12 09
3 57
12 12
3 54
12 15
3 51
12 18
20 00
4 14
11 54
4 11
11 57
4 08
12 00
4 05
12 03
4 02
12 06
3 59
12 09
22 00
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
4 18
11 50
4 15
11 53
24 00
4 43
11 25
4 40
11 28
4 37
11 31
4 34
11 34
4 31
11 37
4 28
11 40
26 00
4 54
11 14
4 51
11 17
4 48
11 20
4 45
11 23
4 42
11 26
4 39
11 29
28 00
5 04
11 04
5 01
11 07
4 58
11 10
4 55
11 13
4 52
11 16
4 49
11 19
30 00
5 12
10 56
5 09
10 59
5 06
11 02
5 03
11 05
5 00
11 08
4 57
11 11
32 00
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
5 08
11 00
5 05
11 03
34 00
5 27
10 41
5 24
10 44
5 21
10 47
5 18
10 50
5 15
10 53
5 12
10 56
36 00
5 33
10 35
5 30
10 38
5 27
10 41
5 24
10 44
5 21
10 47
5 18
10 50
38 00
5 38
10 30
5 35
10 33
5 32
10 36
5 29
10 39
5 26
10 42
5 23
10 45
40 00
5 43
10 24
5 40
10 27
5 37
10 30
5 34
10 33
5 31
10 36
5 28
10 39
45 00
5 54
10 13
5 51
10 16
5 48
10 19
5 45
10 22
5 42
10 25
5 39
10 28
50 00
6 02
10 04
5 59
10 07
5 56
10 10
5 53
10 13
5 50
10 16
5 47
10 19
55 00
6 09
9 56
6 06
9 59
6 03
10 02
6 00
10 05
5 57
10 08
5 54
10 11
60 00
6 15
9 49
6 12
9 52
6 09
9 55
6 06
9 58
6 03
10 01
6 00
10 04
65 00
6 22
9 42
6 19
9 45
6 16
9 48
6 13
9 51
6 10
9 54
6 07
9 57
70 00
6 27
9 36
6 24
9 39
6 21
9 42
6 18
9 45
6 15
9 48
6 12
9 51
75 00
6 31
9 31
6 28
9 34
6 25
9 37
6 22
9 40
6 19
9 43
6 16
9 46
80 00
6 37
9 25
6 34
9 28
6 31
9 31
6 28
9 34
6 25
9 37
6 22
9 40
85 00
6 41
9 20
6 38
9 23
6 35
9 26
6 32
9 29
6 29
9 32
6 26
9 35
90 00
+6 45
9 15
+6 42
9 18
+6 39
9 21
+6 36
9 24
+6 33
9 27
+6 30
9 30
1
Additio
NAL CORR.
Day of Month.
Jan.
Feb.
Mar.
Apr
May.
June.
July.
Aug.
Sept.
Oct.
Noi
r. Dec.
//
It
/,
„
„
II
//
II
//
II
/
1 II
FOE Sr
rN's Alt.
1st
to 15th....
+18
+15
+8
- 8
-13
-14
-11
-5
+3
+1]
L +16
16tl
1 to 3l8t..
+17
+12
+4
-4
-11 -14
-13
- 9
-1
+7
+1^
I +18
*The
corrections for the o
Dserved altitude of a
Star or Planet involves the dip and the refraction; and for the observed altitude
ol the Sun
'slower limb, the di
p, refraction, paralU
IX, and mean semidiameter, which is taken as 16'. A supplementary correction
ameter in the diflerent months of the year is given at the foot of the main table.
takmgaoo
ount of thev ariatior
I of the Sun's semid
TABLE I.
[Page 19
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find |
the True Altitude — Continued.
Obs. Alt.
HEIGHT OF THE EYE. 1
95 Feet. 1
96 Feet. 1
97 Feet. 1
98 Feet. 1
99 Feet. 1
100 Feet. 1
:»
*
*
*
*
*
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
Sun's
Corr.
Star's
Corr.
(-)
c ,
/ /'
/ //
1 II
/ //
/ /,
/ II
, 1,
1 II
/ II
/ II
1 II
I II
6 30
-1 18
17 27
-1 21
17 30
-1 24
17 33
-1 27
YJ 36
-1 30
17 39
-1 33
Yl 42
40
-1 08
17 17
-1 11
17 20
-1 14
17 23
-1 17
17 26
-1 20
17 29
-1 23
17 32
50
-0 58
17 07
-1 01
17 10
-1 04
17 13
-1 07
17 16
-1 10
17 19
-1 13
17 22
7 00
-0 48
16 57
-0 51
17 00
-0 54
17 03
-0 57
17 06
-1 00
17 09
-1 03
17 12
10
-0 39
16 48
-0 42
16 51
-0 45
16 54
-0 48
16 57
-0 51
17 00
-0 54
17 03
20
-0 30
16 39
-0 33
16 42
-0 36
16 45
-0 39
16 48
-0 42
16 51
-0 45
16 54
7 30
-0 21
16 30
-0 24
16 33
-0 27
16 36
-0 30
16 39
-0 33
16 42
-0 36
16 45
40
-0 13
16 22
-0 16
16 25
-0 19
16 28
-0 22
16 31
-0 25
16 34
-0 28
16 37
50
-0 05
16 14
-0 08
16 17
-0 11
16 20
-0 14
16 23
-0 17
16 26
-0 20
16 29
8 00
+0 03
16 06
00
16 09
-0 03
16 12
-0 06
16 15
-0 09
16 18
-0 12
16 21
10
10
15 59
+0 07
16 02
+0 04
16 05
+0 01
16 08
-0 02
16 11
-0 05
16 14
20
17
15 52
14
15 55
11
15 58
08
16 01
+0 05
16 04
+0 02
16 07
8 30
24
15 45
21
15 48
18
15 51
15
15 54
12
15 57
09
16 00
40
31
15 38
28
15 41
25
15 44
22
15 47
19
15 50
16
15 53
50
37
15 32
34
15 35
31
15 38
28
15 41
25
15 44
22
15 47
9 00
43
15 26
40
15 29
37
15 32
34
15 35
31
15 38
28
15 41
20
55
15 14
52
15 17
49
15 20
46
15 23
43
15 26
40
15 29
40
1 06
15 03
1 03
15 06
1 00
15 09
57
15 12
54
15 15
51
15 18
10 00
1 17
14 52
1 14
14 55
1 11
14 58
1 08
15,01
1 05
15 04
1 02
15 07
20
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
1 15
14 54
1 12
14 57
40
1 36
14 33
1 33
14 36
1 30
14 39
1 27
14 42
1 24
14 45
1 21
14 48
11 00
1 45
14 24
1 42
14 27
1 39
14 30
1 36
14 33
1 33
14 36
1 30
14 39
30
1 57
14 12
1 54
14 15
1 51
14 18
1 48
14 21
1 45
14 24
1 42
14 27
12 00
2 08
14 01
2 05
14 04
2 02
14 07
1 59
14 10
1 56
14 13
1 53
14 16
30
2 19
13 50
2 16
13 53
2 13
13 56
2 10
13 59
2 07
14 02
2 04
14 05
13 00
2 29
13 40
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
2 14
13 55
30
2 38
13 31
2 35
13 34
2 32
13 37
2 29
13 40
2 26
13 43
2 23
13 46
14 00
2 46
13 23
2 43
13 26
2 40
13 29
2 37
13 32
2 34
13 35
2 31
13 38
15 00
3 02
13 07
2 59
13 10
2 56
13 13
2 53
13 16
2 50
13 19
2 47
13 22
16 00
3 15
12 54
3 12
12 57
3 09
13 00
3 06
13 03
3 03
13 06
3 00
13 09
17 00
3 28
12 41
3 25
12 44
3 22
12 47
3 19
12 50
3 16
12 53
3 13
12 56
18 00
3 38
12 31
3 35
12 34
3 32
12 37
3 29
12 40
3 26
12 43
3 23
12 46
19 00
3 48
12 21
3 45
12 24
3 42
12 27
3 39
12 30
3 36
12 33
3 33
12 36
20 00
3 59
12 12
3 53
12 15
3 50
12 18
3 47
12 21
3 44
12 24
3 41
12 27
22 00
4 12
11 56
4 09
11 59
4 06
12 02
4 03
12 05
4 00
12 08
3 57
12 11
24 00
4 25
11 43
4 22
11 46
4 19
11 49
4 16
11 52
4 13
11 55
4 10
11 58
26 00
4 36
11 32
4 33
11 35
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
28 00
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
4 34
11 34
4 31
11 37
30 00
4 54
11 14
4 51
11 17
4 48
11 20
4 45
11 23
4 42
11 26
4 39
11 29
32 00
5 02
11 06
4 59
11 09
4 56
11 12
4 53
11 15
4 50
11 18
4 47
11 21
34 00
5 09
10 59
5 06
11 02
5 03
11 05
5 00
11 08
4 57
11 11
4 54
11 14
36 00
5 15
10 53
5 12
10 56
5 09
10 59
5 06
11 02
5 03
11 05
5 00
11 08
38 00
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
5 08
11 00
5 05
11 03
40 00
5 25
10 42
5 22
10 45
5 19
10 48
5 16
10 51
5 13
10 54
5 10
10 57
45 00
5 36
10 31
5 33
10 34
5 30
10 37
5 27
10 40
5 24
10 43
5 21
10 46
50 00
5 44
10 22
5 41
10 25
5 38
10 28
5 35
10 31
5 32
10 34
5 29
10 37
55 00
5 51
10 14
5 48
10 17
5 45
10 20
5 42
10 23
5 39
10 26
5 36
10 29
60 00
5 57
10 07
5 54
10 10
5 51
10 13
5 48
10 16
5 45
10 19
5 42
10 22
65 00
6 04
10 00
6 01
10 03
5 58
10 06
5 55
10 09
5 52
10 12
5 49
10 15
70 00
6 09
9 54
6 06
9 57
6 03
10 00
6 00
10 03
5 57
10 06
5 54
10 09
75 00
6 13
9 49
6 10
9 52
6 07
9 55
6 04
9 58
6 01
10 01
5 58
10 04
80 00
6 19
9 43
6 16
9 46
6 13
9 49
6 10
9 52
6 07
9 55
6 04
9 58
85 00
6 23
9 38
6 20
9 41
6 17
9 44
6 14
9 47
6 11
9 50
6 08
9 53
90 00
6 27
9 33
+6 24
9 36
+6 21
9 39
+6 IS
9 42
+6 15
9 45
+6 12
9 48
1
Additio
NAL COEK.
Day of Month.
Jan.
Feb. J
ifar.
Apr
. May.
Jime.
July.
Aug
Sept.
Oct.
Nov.
Dec.
„
//
It
,
1 ,1
„
//
//
II
//
II
/'
FOB 8t
ra's Alt.
1st
to 15th.
..
+18
+15
+8
(
) - 8
-13
—
14
-11
-5
+3
+11
+16
16tl
1 to 3l8t
...
+17
+12
+4
-A
[ -11
-14
—
13
- 9
-1
+7
+14
+18
*Tlie
corrections for the o
)served al
titudeofa
Star or Planet involves the dip and the
refraction ; and for the observed altitude
of the Sun
'slower limb, the d
p, refract
on, paraUs
IX, and mean semidiameter, which is ta
ken as 16'. A supplementary correction
sar is given at the foot of the main table.
Itakliigaoc
ountof thevariatioi
X of the Si
n's semidj
ameter in the different months of the y(
TABLE II
CORRECTIONS TO BE APPLIED TO
THE OBSERVED ALTITUDE OF THE
MOON'S UPPER LIMB, AND ALSO OF
THE LOWER UMB
The height of the eye is assumed to be 35 feet, and the cor-
rection for other elevations is given at the bottom of the table,
and is ta be added or subtracted according as the height of the
eye is less or greater than 35 feet
21
Page 22]
TABLE II.
Corrections for the Observed Altitudes of the Moon's Lower Limb.
Obs. Alt.
Lower
HORIZONTAL
PARALLAX.
Limb.
54'
65'
66'
67'
68'
69'
60'
61'
5 30
6 ooa
6 305
53 46
54 22
54 51
55 03
56 38
56 08
56 19
66 54
67 24
57 36
58 11
58 40
58 53
59 28
59 57
60 09
60 44
61 13
* ft
61 27
62 01
62 29
62 44
63 18
63 46
7 00
7 30
8 00
55 17
55 39
55 58
56 33
56 55
67 15
57 50
58 12
58 31
59 06
59 28
59 47
60 22
60 44
61 03
61 38
62 00
62 19
62 54
63 16
63 36
64 11
64 33
64 52
8 30
9 00
9 30
56 15
56 29
56 42
57 31
57 45
57 58
58 47
59 01
59 13
60 03
60 16
60 29
61 19
61 33
61 45
62 35
62 49
63 01
63 62
64 05
64 17
65 08
65 20
65 32
10 00
11
12
56 54
57 10
57 22
58 10
58 26
68 37
59 25
59 41
59 52
60 40
60 56
61 07
61 56
62 12
62 23
63 11
63 27
63 39
64 27
64 43
64 54
65 43
65 53
66 09
13
14
15
57 29
57 35
57 35
68 45
58 50
58 50
59 59
60 04
60 04
61 14
61 18
61 18
62 30
62 33
62 33
63 45
63 48
63 48
65 00
65 03
65 03
66 15
66 17
66 17
16
17
18
57 33
57 30
57 22
58 47
58 44
58 36
60 01
59 57
59 49
61 15
61 11
61 03
62 30
62 25
62 17
63 45
63 39
63 31
64 59
64 53
64 46
66 13
66 07
65 59
19
20
21
57 15
57 05
55 53
58 28
58 18
58 06
59 41
59 31
59 18
60 54
60 44
60 31
62 08
61 57
61 44
63 21
63 10
62 56
64 36
64 23
64 09
65 49
65 36
65 22
22
23
24
56 40
56 26
56 09
57 52
57 38
57 20
59 03
58 49
58 31
60 15
60 00
59 42
61 28
61 12
60 54
62 40
62 24
62 06
63 53
63 36
63 18
65 05
64 48
64 29
25
26
27
55 51
55 32
55 12
57 02
56 43
56 22
58 13
57 53
57 32
59 24
59 03
58 41
60 36
60 14
59 51
61 47
61 25
61 01
62 58
62 36
62 12
64 08
63 46
63 22
28
29
30
54 51
54 28
54 04
56 00
55 37
55 13
57 09
56 46
56 21
58 18
57 55
57 29
59 29
59 05
58 38
60 38
60 14
59 47
61 48
61 23
60 56
62 57
62 33
62 05
31
32
33
53 39
53 14
52 47
54 47
54 22
53 64
55 55
55 29
55 01
57 03
56 36
56 08
58 12
57 44
57 15
59 20
58 52
58 22
60 28
60 00
59 29
61 36
61 07
60 36
34
35
36
52 20
51 51
51 21
53 26
52 56
52 26
54 31
54 01
53 30
55 37
55 06
54 35
56 44
56 12
56 41
57 50
57 18
56 46
58 57
58 24
57 51
60 03
59 30
58 65
37
38
39
50 51
50 19
49 47
51 54
51 23
50 50
52 57
52 26
51 52
54 02
53 29
52 55
55 07
54 33
53 58
56 12
55 37
55 02
57 17
56 41
56 05
58 22
57 45
57 08
40
41
42
49 13
48 38
48 03
50 15
49 40
49 04
51 16
50 41
50 04
52 18
61 43
61 05
53 21
52 45
52 07
54 24
53 47
53 09
55 27
54 49
54 11
56 30
55 50
55 12
43
44
45
47 28
46 51
46 13
48 28
47 51
47 12
49 28
48 49
48 10
50 29
49 49
49 09
51 30
50 49
50 09
52 29
51 48
51 08
53 30
52 48
52 07
54 30
53 47
53 06
46
47
48
45 35
44 55
44 15
46 33
45 53
45 13
47 30
46 50
46 09
48 28
47 48
47 06
49 27
48 46
48 03
50 26
49 43
48 59
51 24
50 41
49 56
52 22
51 38
50 52
49
50
51
43 36
42 54
42 12
44 32
43 50
43 07
45 27
44 44
44 01
46 23
45 39
44 55
47 19
46 34
45 50
48 15
47 30
46 44
49 11
48 25
47 38
50 06
49 20
48 32
52
53
54
41 30
40 46
40 02
42 23
41 39
40 54
43 16
42 31
41 45
44 09
43 24
42 37
45 04
44 17
43 30
45 57
45 09
44 21
46 51
46 02
45 13
47 44
46 54
46 04
55
56
57
39 17
38 33
37 47
40 09
39 23
38 37
40 59
40 13
39 26
41 50
41 02
40 14
42 42
41 53
41 04
43 32
42 44
41 53
44 23
43 34
42 43
45 14
44 24
43 32
58
59
60
37 01
36 15
35 28
37 50
37 03
36 15
38 38
37 49
37 00
39 25
38 36
37 46
40 14
39 24
38 34
41 03
40 11
39 20
41 52
40 69
40 06
42 39
41 46
40 52
61
62
63
34 39
33 50
33 02
35 25
34 35
33 46
36 10
35 19
34 29
36 66
36 04
35 13
37 42
36 49
35 57
38 27
37 34
36 41
39 13
38 19
37 25
39 58
39 03
38 08
TABLE II.
[Page 23
Corrections for the Observed Altitudes of the Moon's Lower Limb.
Obs. Alt.
Lower
Limb.
HORIZONTAL PARALLEX.
54'
65'
56'
67'
68'
69'
60'
61'
64
65
66
32 13
31 23
30 33
32 56
32 06
31 14
/ //
33 38
32 47
31 54
34 21
33 28
32 35
t n
35 05
34 11
33 17
35 47
34 52
33 57
36 30
35 34
34 38
37 13
36 16
35 19
67
6S
69
29 42
28 51
27 59
30 22
29 31
28 38
31 01
30 09
29 15
31 41
30 47
29 53
32 22
31 27
30 32
33 01
32 06
31 10
33 41
32 45
31 48
34 21
33 24
32 26
70
71
72
27 07
26 15
25 23
27 46
26 52
25 58
28 22
27 27
26 32
28 59
28 04
27 08
29 36
28 40
27 43
30 14
29 16
28 19
30 51
29 53
28 54
31 27
30 28
29 28
73
74
75
24 30
23 37
22 44
25 05
24 11
23 16
25 38
24 43
23 47
26 12
25 16
24 19
26 46
25 49
24 53
27 21
26 22
25 25
27 55
26 56
25 57
28 29
27 28
26 28
76
77
78
21 51
20 57
20 02
22 22
21 27
20 32
22 52
21 56
21 00
23 23
22 26
21 29
23 55
22 57
21 59
24 26
23 27
22 27
24 57
23 57
22 56
25 27
24 26
23 25
79
80
81
19 08
18 13
17 19
19 36
18 41
17 45
20 04
19 07
18 10
20 31
19 33
18 35
2100
20 01
19 02
21 27
20 27
19 27
21 56
20 55
19 55
22 23
21 22
20 21
82
83
84
16 24
15 29
14 33
16 49
15 53
14 57
17 13
16 16
15 19
17 37
16 40
15 42
18 03
17 04
16 05
18 28
17 27
16 27
18 54
17 52
16 50
19 IS
18 16
17 13
85
86
87
13 38
12 43
11 47
14 00
13 04
12 08
14 21
13 24
12 26
14 43
13 45
12 46
15 05
14 06
13 06
15 27
14 27
13 26
15 49
14 48
13 46
16 10
15 08
14 05
88
89
90
10 52
9 56
9 00
11 11
10 15
9 18
11 28
10 31
9 34
11 47
10 49
9 50
12 06
11 07
10 07
12 24
11 24
10 23
12 44
11 42
10 41
13 82
11 59
10 57
Height of Eye Coeeection.
Height in feet.
Correction.
10
+2 42
12
+2 24
14
+2 08
16
+ 1 53
18
+ 1 39
20
+ 1 25
22
+ 1 12
24
+ 1 00
26
+0 48
28
+0 37
30
+0 26
35
00
40
-0 24
45
-0 48
50
-1 08
55
-1 28
60
-1 47
65
-2 06
70
-2 24
75
-2 41
80
-2 58
85
-3 14
90
-3 30
95
-3 45
100
-4 00
Page 24] TABLE II.
Corrections for the Observed Altitude of the Moon's Upper Limb.
Obs. Alt.
Upper
Limb.
HORIZONTAL PARALLAX.
65'
56'
68'
59'
60'
61'
5 30
6 00
6 30
7 00
7 30
8 00
8 30
9 00
9 30
10 00
n
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
46
46
47
48
49
60
51
62
53
64
55
66
57
58
59
60
61
62
63
23 38
24 18
24 52
25 21
25 47
26 09
26 28
26 45
27 00
27 10
27 31
27 45
27 54
27 59
28 01
28 01
27 58
27 51
27 44
27 34
27 23
27 10
26 55
26 39
26 22
26 03
25 43
25 21
24 59
24 36
24 12
23 45
23 19
22 51
22 22
21 53
21 23
20 51
20 19
19 46
19 11
18 37
18 00
17 24
16 46
16 07
15 28
14 48
14 07
13 26
12 44
12 02
11 19
10 36
9 51
9 06
8 21
7 35'
6 48
6 00
5 12
4 23
3 35
24 21
25 01
25 35
26 04
26 30
26 52
27 U
27 27
27 42
27 53
28 13
28 27
28 36
28 40
28 42
28 42
28 39
28 32
28 24
28 13
28 03
27 49
27 33
27 17
27 00
26 40
26 20
25 68
25 35
25 11
24 47
24 20
23 53
23 24
22 56
22 25
21 54
21 22
20 49
20 15
19 40
19 05
18 27
17 50
17 12
16 33
15 53
15 12
14 31
13 49
13 06
12 23
11 39
10 54
10 09
9 23
8 37
7 50
7 02
6 13
5 24
4 35
3 46
25 05
25 44
26 18
26 48
27 13
27 35
27 64
28 10
28 24
28 36
28 55
29 10
29 18
29 22
29 24
29 23
29 20
29 13
29 05
28 54
28 43
28 29
28 12
27 66
27 38
27 18
26 68
26 35
26 12
25 47
25 22
24 55
24 27
23 68
23 28
22 68
22 26
21 53
21 20
20 45
20 09
19 33
18 55
18 17
17 38
16 58
16 18
15 36
14 65
14 11
13 27
12 44
11 59
11 13
10 27
9 40
8 53
8 05
7 17
6 27
5 37
4 48
3 57
25 48
26 27
27 02
27 31
27 56
28 18
28 37
28 63
29 06
29 19
29 38
29 62
30 00
30 05
30 06
30 04
30 01
29 54
29 45
29 34
29 23
29 08
28 52
28 35
28 17
27 56
27 36
27 12
26 48
26 24
25 57
25 30
25 01
24 32
24 01
23 30
22 58
22 24
21 50
21 15
20 38
20 01
19 23
18 45
18 04
17 24
16 43
16 00
15 17
14 34
13 49
13 05
12 19
11 32
10 45
9 58
9 10
8 21
7 32
6 41
5 50
5 00
4 08
26 31
27 10
27 44
28 13
28 39
29 01
29 20
29 36
29 49
30 01
30 21
30 34
30 42
30 47
30 48
30 45
30 42
30 34
30 26
.30 14
30 02
29 47
29 30
29 13
28 65
28 34
28 12
27 48
27 24
26 59
26 32
26 04
25 35
25 05
24 34
24 02
23 29
22 54
22 20
21 45
21 06
20 29
19 60
19 11
18 30
17 49
17 07
16 24
15 40
14 66
14 10
13 25
12 38
11 61
11 03
10 15
9 26
8 36
7 46
6 55
6 04
5 12
4 19
27 13
27 54
28 28
28 57
29 22
29 44
30 03
30 19
30 32
30 44
31 03
31 16
31 24
31 29
31 30
31 27
31 23
31 15
31 06
30 54
30 41
30 27
30 09
29 52
29 33
29 12
28 49
28 25
28 01
27 35
27 07
26 39
26 09
25 39
25 07/
24 34
24 00
23 25
22 50
22 14
21 35
20 57
20 18
19 37
18 56
18 14
17 32
16 48
16 04
15 19
14 32
13 46
12 59
12 11
11 23
10 32
9 43
8 62
8 01
7 09
6 17
5 23
4 30
27 56
28 37
29 11
29 40
30 05
30 27
30 46
31 02
31 15
31 27
31 46
31 58
32 07
32 11
32 11
32 09
32 04
31 55
31 46
31 34
31 21
31 06
30 49
30 31
30 11
29 49
29 26
29 03
28 37
28 10
27 43
27 14
26 43
26 12
25 40
25 07
24 31
23 56
23 20
22 43
22 04
21 25
20 45
20 04
19 22
18 40
17 57
17 12
16 27
15 41
14 54
14 07
13 19
12 30
11 41
10 49
9 59
9 07
8 16
7 23
6 29
5 35
4 40
28 38
29 19
29 54
30 24
30 48
31 09
31 28
31 44
31 57
32 09
32 28
32 40
32 49
32 52
32 52
32 50
32 45
32 35
32 26
32 15
32 01
31 45
31 27
31 10
30 48
30 26
30 03
29 39
29 12
28 46
28 18
27 48
27 17
26 45
26 12
25 39
25 03
24 28
23 50
23 12
22 33
21 54
21 13
20 32
19 48
19 05
18 21
17 36
16 50
16 03
15 15
14 27
13 38
12 49
11 69
11 06
10 15
9 22
8 30
7 36
6 42
5 46
4 61
TABLE II.
[Page 25
Corrections for the Observed Altitude of the Moon's Upper Limb.
Obs. Alt.
Uppee
Limb.
HORIZONTAL PARALLAX.
64'
55'
56'
67'
58'
5^
60'
61'
o n
, n
, n
/ If
/ H
, n
/ It
, „
, ,,
64
65
66
2 46
1 56
1 06
2 56
204
1 14
3 06
2 13
1 22
3 16
2 23
1 31
3 26
2 32
1 39
3 36
2 42
1 47
3 46
2 51
1 55
3 56
3 00
2 03
67
68
69
16
22
29
37
44
51
04
58
02
1 06
008
36
1 27
30
1 22
24
1 17
17
1 11
Oil
1 06
102
57
51
70 g
72 g
2 19
3 11
4 03
2 15
3 OS
4 01
2 11
3 05
3 59
2 06
3 01
3 56
2 02
2 58
3 54
1 58
2 55
3 52
1 54
2 52
3 50
1 50
2 48
3 48
73 g
74
75
4 55
5 49
6 43
4 56
5 50
6 44
4 54
5 49
6 44
4 52
5 48
6 45
4 51
5 48
6 46
4 50
5 48
6 47
4 49
5 48
6 48
4 47
5 47
6 48
76
77
78
7 37
8 31
9 25
7 39
8 34
9 29
7 40
8 37
9 33
7 42
8 39
9 36
7 44
8 42
9 40
7 45
8 44
9 44
7 47
8 47
9 48
7 49
8 50
9 51
79
80
81
10 19
11 13
12 08
10 24
11 20
12 15
10 29
11 26
12 22
10 33
11 31
12 28
10 38
11 37
12 35
10 43
11 43
12 42
10 48
11 49
12 50
10 52
11 54
12 57
82
83
84
13 03
13 58
14 53
13 11
14 07
15 04
13 19
14 16
15 14
13 27
14 25
15 23
13 34
14 34
15 33
13 43
14 43
15 44
13 51
14 52
15 54
13 59
15 01
16 03
85
86
87
15 48
16 44
17 39
16 00
16 57
17 53
16 11
17 09
18 06
16 21
17 20
18 18
16 33
17 32
18 32
16 44
17 45
18 45
16 55
17 57
18 59
17 06
18 08
19 11
88
89
90
18 35
19 31
20 26
18 50
19 47
20 43
19 04
20 02
21 00
19 18
20 16
21 15
19 32
20 31
21 31
19 46
20 47
21 48
20 00
21 03
22 04
20 14
21 17
22 20
Height of Ete Coeeection.
Height in feet.
Correction.
10
+2 42
12
+2 24
14
+2 08
16
+ 1 53
18
+ 1 39
20
+ 1 25
22
+ 1 12
24
+ 1 00
26
+ 48
28
+ 37
30
+0 26
35
00
40
-0 24
45
-0 48
50
-1 08
55
-1 28
60
-1 47
65
-2 06
70
-2 24
75
-2 41
80
-2 58
85
-3 14
90
-3 30
95
-3 45
100
-4 00
TABLE III
LOGARITHMIC SINES
AND
LOGARITHMIC COSINES
27
Page 28]
TABLE III.
Log
. Sines.
0° 0'
0° 10'
2 Eh
"'.2
0° 20'
■a d
0° 30'
0° 40'
t3§
■OH
0° 60'
•oS
1° 0'
•oS
1° 10'
T3§
''■2
•o 3
1° 20' -OH
+ 0'
10"
20
30
40
60
■(- 1'
10"
20
30
40
60
+ 2'
10"
20
30
40
60
4- 3'
10"
20
30
40
60
+ 4'
10"
20
30
40
60
+ 5'
10'
20
30
40
60
+ 6'
10"
20
30
40
60
4- 7'
10'
20
30
40
60
+ 8'
10"
20
30
40
60
+ 9'
10"
20
30
40
60
flO'
— oo
7.46373
1
7.76475
1
2
2
2
2
2
2
2
2
2
7.94084
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
8.06578
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
5
5
5
5
8.16268
6
6
5
5
6
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
7
7
7
7
8.24186
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
9
9
9
9
9
9
9
9
9
9
9
9
8.30879
9
9
9
9
9
9
9
9
9
9
9
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
12
12
12
12
12
12
S. 36678
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
15
15
15
15
15
15
15
15
6.68557
5.98660
6. 16270
6.28763
6.38454
.47090
. 47797
.48491
.49175
.49849
.76836
.77193
.77548
.77899
.78248
7.94325
7.94564
7.94802
7.95039
7.95274
.06758
.06938
.07117
.07295
.07473
.16413
.16557
.16700
.16843
.16986
.24306
.24426
.24546
. 24665
.24785
.30983
.31086
.31188
.31291
.31393
.36768
.36858
. 36948
.37038
.37128
6. 46373
.50512
.78594
7.95508
.07650
. 17128
.24903
.31495
.37217
6.53067
6.58866
6.63982
6.6S557
6.72697
.51165
. 51808
. 52442
.53067
.53683
. 78938
. 79278
.79616
. 79952
.80284
7.95741
7.95973
7. 96203
7.96432
7. 96660
.07826
.08002
.08176
.08350
.08524
.17270
.17411
. 17552
.17692
.17832
.25022
.25140
.25258
.25375
.25493
.31597
.31699
.31800
.31901
.32002
.37306
.37395
.37484
.37573
.37662
6.76476
.54291
.80615
7.96887
.08696
. 17971
.25609
.32103
.37750
6. 79952
6.83170
6.86167
6.88969
6.91602
.54890
. 55481
.56064
. 56639
.57206
.57767
. 80942
.81268
. 81591
.81911
.82229
7.97113
7.97337
7. 97560
7.97782
7. 98003
.08868
.09040
.09210
.09380
.09550
.18110
. 18249
.18387
.18524
.18662
.25726
.25842
.25958
.26074
.26189
.32203
.32303
.32403
.32503
.32602
.37838
.37926
.38014
.38101
.38189
6.94085
.82545
7.98223
.09718
. 18798
.26304
.32702
.38276
6.96433
6.9S660
7.00779
7.02800
7.04730
.58320
. 58866
.59406
. 59939
.60465
.82859
.83170
.83479
.83786
.84091
7.98442
7.98660
7.98876
7.99092
7.99306
.09886
.10054
.10220
.10386
.10552
. 18935
.19071
.19206
.19341
.19476
.26419
.26533
.26648
.26761
.26875
.32801
.32899
.32998
.33096
.33195
.38363
.38450
.38537
.38624
.38710
7.06579
.60985
.84393
7.99520
.10717
.19610
.26988
.3.3292
.38796
7.08351
7. 10055
7.11694
7. 13273
7. 14797
.61499
.62007
.62509
. 63006
.63496
.84694
.84992
.85289
.85583
.85876
7.99732
7.99943
8.00154
8.00363
8.00571
. 10881
.11044
.11207
.11370
.11531
.19744
.19877
.20010
.20143
.20275
.27101
.27214
.27326
.27438
. 27550
.33390
.33488
.33585
.33682
.33779
.38882
.38968
.39054
.39139
.39225
7. 16270
.63982
.86166
8.00779
. 11693
.20407
.27661
.33875
.39310
7. 17694
7. 19072
7.20409
7.21705
7.22964
. 6-1461
. 64936
.65406
.65870
.66330
.86455
.86741
.87026
.87309
.87590
8.00985
8.01190
8.01395
8.01598
8.01801
.11853
.12013
. 12172
. 12331
. 12489
.20538
.20669
.20800
.20930
.21060
.27773
.27883
. 27994
.28104
.28215
.33972
.34068
.34164
.34260
.34355
.39395
. 39480
.39565
. 39649
.39734
7.24188
.66784
.87870
8.02002
.12647
.21189
.28324
.34450
.39818
7.25378
7.26536
7.27664
7.28763
7.29836
.67235
.67680
.68121
.68557
.68989
.88147
.88423
.88697
.88969
.89240
8.02203
8.02402
8.02601
8.02799
8.02996
.12804
.12961
.13117
. 13272
.13427
.21319
.21447
.21576
.21703
.21831
.28434
.28543
.28652
.28761
.28869
.34546
.34640
.34735
.34830
.34924
.39902
,39986
.40070
.40156
.40237
7.30882
.69417
.89509
8.03192
.13581
.21958
.28977
.35018
.40320
7.31904
7.32903
7.33879
7.34833
7.35767
.69841
. 70261
.70676
. 71088
.71496
.89776
.90041
.90305
.90568
.90829
8.03387
8.03581
8.03775
8.03967
8.04159
.13735
. 13888
. 14041
. 14193
.14344
.22085
.22211
.22337
.22463
.22588
.29085
.29193
.29300
.29407
.29514
.35112
.35206
.35299
.35392
.35485
.40403
.4W86
.48569
.40651
. 40734
7. 36682
. 71900
.91088
8.04350
.14495
.22713
.29621
.35578
. 40816
7.37577
7.38454
7.39314
7.40158
7.40985
.72300
. 72697
.7,3090
.73479
. 73865
.91346
. 91602
.91857
.92110
.92362
8. 04.540
8.04729
8.04918
8.05105
8. 05292
.14646
. 14796
. 14945
.15094
. 15243
.22838
.22962
.23086
.23210
.23333
.29727
.29833
.29939
.30044
.30150
.35671
.35764
.35856
.35948
. 36040
.40898
.40980
. 41062
.41144
.41225
7.41797
.74248
.92612
8. 05478
.15391
.23456
.30255
.36131
.41307
7.42594
7.43376
7.44145
7.44900
7.45643
.74627
.75003
.75376
. 75745
.76112
.92861
.93108
.93354
.93599
.93842
8.05663
8. 05848
8.06a31
8.06214
8.06396
. 15538
.15685
.15832
. 15978
.16123
.23578
.23700
.23822
.23944
.24065
.30359
.30464
.30568
.30672
.30776
.36223
.36314
.36405
.36496
.36587
.41388
.41469
.41550
.41631
.41711
7.46373
.76475
.94084
8.06578
. 16268
.24186
.30879
.36678
.41792
TABLE III.
[Page 29
Log. Sines.
1
T.S
t3 03
n S
Tl 9
•rt S
^i
■d rt
r,S
nS
1''30'
1''40'
■OH
< u
1°50'
3°0'
2° 10'
■T3b<
•Z' 20'
2° 30'
■dH
< u
2° 40'
■OH
2" 50'
+0'
10"
8.41792
15
15
8.46366
18
18
8.50504
22
22
8. 51282
26
27
8.57757
31
31
8.60973
36
36
8. 63968
41
41
8.66769
47
47
S. 69400
53
53
.41872
.46439
.50570
.54342
.57812
.61025
.64016
. 66814
.69442
20
.41952
15
.46511
19
.50636
22
.54402
27
.57868
31
.61077
36
.64064
42
.66859
47
.6948.5
54
30
.42032
15
.46583
19
.50701
22
.54462
27
.57923
31
.61128
36
.64112
42
.66904
47
.69.527
64
40
.42112
15
. 46655
19
.50767
23
. 54522
27
.57979
31
.61180
36
.64160
42
.66949
47
.69570
64
50
+ 1'
10"
.4219C
15
15
15
.46727
19
19
19
.50^2
23
23
23
.54582
27
27
27
.58034
31
32
32
.61231
36
37
37
.64208
42
42
42
.66994
48
48
48
.69612
54
54
54
.42272
. 46799
. 50897
.54642
.58089
.61282
.64256
.67039
. 69654
.42351
. 46870
.50963
.54702
.58144
.61334
. 64304
.67084
.69897
20
. 42430
15
. 46942
19
. 51028
23
.54762
27
.58200
32
.61385
37
. 64352
42
.67129
48
. 697.39
54
30
.42510
15
. 47013
19
.51092
23
.54821
27
.58255
32
.61436
37
.04400
42
.67174
48
.69781
64
40
. 42589
15
.47084
19
.51157
23
.54881
27
.58310
32
.61487
37
.64448
42
.67219
48
. 69823
64
60
+2'
10"
. 42667
15
16
16
.47155
19
19
19
.51222
23
23
23
. 54940
27
27
27
.58364
32
32
32
.61538
37
37
37
. 64495
42
42
43
.67263
48
48
48
. 69865
64
54
54
. 42746
. 47226
.51287
.54999
.58419
.61589
.64543
. 67308
.69907
. 42825
.47297
..51351
.55059
.58474
.61640
.64590
. 67353
.69949
20
. 42903
16
.47368
19
.51416
23
.55118
28
.58529
32
.61691
37
. 64638
43
. 67397
48
. 69991
66
30
. 42982
16
.47439
19
. 51480
23
.55177
28
.58583
32
. 61742
37
.64685
43
. 67442
49
.70033
56
40
.43060
16
.47509
19
.51544
23
.55236
28
.58638
32
.61792
37
.64733
43
. 67486
49
.70075
66
50
+3'
10"
.43138
16
16
16
.47580
19
19
20
.51609
23
23
24
.55295
28
28
28
.58693
32
33
33
.61843
37
38
38
.64780
43
43
43
.67531
49
49
49
.70117
55
55
55
.43216
. 47650
.51673
.55354
.58747
.61894
.64827
.67575
.70159
.43293
.47720
.51737
.55413
.58801
.61944
.64875
.67619
.70201
20
.43371
16
.47790
20
.51801
24
. 55471
28
.58856
33
.61995
38
.04922
43
.67664
49
.70242
56
30
.43448
16
.47860
20
. 51864
24
.55530
28
. 58910
33
.62045
3S
.64969
43
.67708
49
. 70284
66
40
. 43526
16
.47930
20
.51928
24
. 55589
28
.58964
33
.62096
38
.6.5016
43
. 67752
41'
.70326
55
60
+4'
10"
.43603
16
16
16
.48000
20
20
20
.51992
24
24
24
.55647
28
28
28
.59018
33
33
33
.62146
38
38
38
.65063
43
44
44
.67796
49
49
49
.70367
66
56
56
.43680
.48069
.52055
.55705
.59072
.62196
.65110
.67841
.70409
.43757
.48139
.52119
.55764
.59126
.62246
.65157
.67885
.70451
20
.43834
16
.48208
20
.52182
24
.55822
28
.59180
33
.62297
38
.65204
44
.67929
50
.70492
66
30
.43910
16
.48278
20
.52245
24
.55880
28
.59234
33
.62347
38
.65251
44
.67973
60
.70534
56
40
.43987
16
.48347
20
.52308
24
.55938
29
.59288
33
. 62397
38
.65298
44
.68017
50
. 70575
66
50
+5'
10"
.44063
17
17
17
.48416
20
20
20
.52371
24
24
24
.55996
29
29
29
.59341
33
33
34
.62447
39
39
39
.65344
44
44
44
.68060
50
50
SO
.70616
66
56
56
.44139
.48485
.52434
.56054
.59395
.62497
.65391
.68104
.70558
.44216
.48554
.52497
.56112
.59448
.62546
. 65 138
.68148
.70699
20
.44292
17
.48622
20
.52560
24
.56170
29
.59502
34
.62596
39
.6.5184
44
.68192
50
. 70740
6V
30
.44367
17
.48691
20
.52623
25
.56227
29
.59555
34
.62646
39
. 65531
44
.68236
60
.70781
57
40
.44443
17
.48760
21
.5268.5
25
.56285
29
.59609
34
.62696
39
.65577
45
.68279
50
.70823
6V
50
+6'
10"
. 44519
17
17
17
.48828
21
21
21
.52748
25
25
25
.56342
29
29
29
.59662
34
34
34
.62745
39
39
39
.65624
45
45
45
.68323
50
51
51
.70864
57
57
57
.44594
.48896
.52810
.56400
.59715
.62795
.65670
.68367
.70905
. 44669
.48965
.52872
.56457
.59768
. 62844
.65717
.68410
.70946
20
.44745
17
.49033
21
. 52935
25
.56515
29
.59821
34
.62894
39
.65763
45
.68454
61
.70987
57
30
. 44820
17
.49101
21
.52997
25
.56572
29
.59874
34
.62943
39
.65809
46
.68497
61
. 71028
67
40
.44895
17
.49169
21
.53059
25
.56629
29
.59927
34
. 62993
40
.65855
45
. 68540
51
.71069
57
50
+ 7'
10"
. 44969
17
17
17
.49236
21
21
21
. 53121
25
25
25
.56686
30
30
30
. 59980
34
34
35
.63042
40
40
40
.65901
45
45
45
.68584
51
51
51
.71110
6V
58
58
.45044
.49304
.53183
.56743
.60033
.63091
.65947
.68627
.71151
.45119
. 49372
.53245
.56800
.60086
.63140
.65994
.68670
.71192
20
.45193
17
.49439
21
. 53306
25
.56857
30
.60139
35
.63189
40
.66040
46
.68714
51
. 71232
68
30
. 45267
17
.49506
21
.53368
25
. 56914
30
.60191
35
.63238
40
.66085
46
. 68757
61
.71273
68
40
.45341
IS
.49574
21
. 53429
25
.56970
30
.60244
35
.63288
40
.66131
46
.68800
52
.71314
68
50
+8'
10"
.45415
18
IS
18
.49641
21
21
22
.53491
26
26
26
.57027
30
30
30
.60296
35
35
35
. 63336
40
40
40
.66177
46
46
46
. 68843
52
52
52
.713.5.5
68
58
58
.45489
.49708
. 53552
.57084
.60349
.63385
.66223
. 68886
.71395
.45563
. 49775
.53614
.57140
.60401
.63434
.66269
.68929
.71436
20
.45637
18
.49842.
22
.53675
26
.57196
30
.60454
35
.63483
40
.66314
46
.68972
52
.71476
68
30
. 45710
18
.49908
22
.53736
26
.57253
30
.60506
35
.63532
41
.66360
46
.69015
62
.71517
69
40
.45784
IS
.49975
22
.53797
26
.57309
30
.60558
35
.63580
41
.66406
46
.69058
62
.71557
69
50
+9'
10"
.45857
18
18
IS
.50042
22
22
22
.53858
26
26
26
. 57365
31
31
31
.60610
35
36
36
.63629
41
41
41
.66451
46
46
47
.69101
62
52
53
.71598
69
59
59
.45930
.50108
.53919
.57421
.60662
.63678
.66497
.69144
.71638
.46003
. .50174
.53979
.57477
.60714
.&3726
.66542
.69187
. 71679
20
.46076
IS
.50241
22
. 54040
26
.575.33
31
.60766
36
.63775
41
.66588
47
.69229
53
.71719
69
30
.46149
IS
.50307
22
.54101
26
..57589
31
. 60818
36
.63823
41
.66633
47
. 69272
,63
.71759
59
40
.46222
18
.50373
22
.54161
26
.57645
31
.60870
36
.63871
41
.66678
47
.69315
^i
.71800
.69
50
.46294
18
18
.50439
22
22
.54222
26
26
.57701
31
31
.60922
36
36
.63920
41
41
.66724
47
47
.69357
63
53
. 71840
69
60
+ 10'
.46366
.50504
..54282
.57757
.60973
.63968
.66769
. 69400
.71880
Page
30]
TABLE III.
Log. Sines.
3° O'
Add
for
Tan.
3° lO'
Add
for
Tan.
3° 20^
Add
for
Tan.
3° 30'
Add
for
Tan.
3° 40'
Add
for
Tan.
3° 50'
Add
for
Tan.
+ o'
20
30
40
50
+ r
20
30
40
50
+ 2^
20
30
40
50
+ 3^
20
30
40
50
+ i'
20
30
40
50
+ 5'
20
30
40
50
+ 6^
20
30
40
50
+ r
20
30
40
50
+ 8'
lO''
20
30
40
50
+ 9'
20
30
40
50
+10'
8. 71880
60
60
60
60
60
60
60
60
60
60
61
61
61
61
61
61
61
61
62
62
62
62
62
62
62
62
62
63
63
63
63
63
63
63
63
63
64
64
64
64
64
64
64
64
65
65
65
65
65
65
65
65
65
66
66
66
66
66
66
66
66
8. 74226
66
66
67
67
67
67
67
67
67
67
68
68
68
68
68
68
68
68
68
69
69
69
69
69
69
69
69
70
70
70
70
70
70
70
70
71
71
71
71
71
71
71
71
71
72
72
72
72
72
72
72
72
73
73
73
73
73
73
73
73
74
8. 76451
74
74
74
74
74
74
74
74
75
75
75
75
75
75
75
75
76
76
76
76
76
76
76
76
77
77
77
77
77
77
77
77
78
78
78
78
78
78
78
78
79
79
79
79
79
79
79
79
80
80
80
80
80
80
80
80
81
81
81
81
81
8. 78568
81
81
81
81
82
82
82
82
82
82
82
82
83
83
83
83
83
83
83
84
84
84
84
84
84
84
85
85
85
85
85
85
85
85
86
86
86
86
86
86
86
86
87
87
87
87
87
87
87
88
88
88
88
88
88
88
88
89
89
89
89
8. 80585
89
89
89
89
90
90
90
90
90
90
90
90
91
91
91
91
91
91
91
92
92
92
92
92
92
92
93
93
93
93
93
93
93
93
94
94
94
94
94
94
94
95
95
95
95
95
95
95
96
96
96
96
96
96
96
97
97
97
97
97
97
8. 82513
97
97
98
98
98
98
98
98
98
99
99
99
99
99
99
99
100
100
100
100
100
100
100
101
101
101
101
101
101
101
102
102
102
102
102
102
102
103
103
103
103
103
103
103
104
104
104
104
104
104
104
105
105
105
105
105
105
105
106
106
106
8. 71920
8. 71960
8. 72000
8. 72040
8. 72080
8. 74264
8. 74302
8. 74340
8. 74378
8. 74416
8. 76487
8. 76523
8. 76559
8. 76595
8. 76631
8. 78602
8. 78636
8. 78671
8. 78705
8. 78739
8. 80618
8. 80651
8. 80684
8. 80716
8. 80749
8. 82544
8. 82576
8. 82607
8. 82639
8. 82670
8. 72120
8. 74454
8. 76667
8. 78774
8. 80782
8. 82701
8. 72160
8. 72200
8. 72240
8. 72280
8. 72320
8. 74491
8. 74529
8. 74567
8. 74605
8. 74642
8. 76703
8. 76739
8. 76775
8. 76811
8. 76847
8. 78808
8. 78842
8. 78876
8. 78910
8. 78945
8. 80815
8. 80847
8. 80880
8. 80913
8. 80945
8. 82732
8. 82764
8. 82795
8. 82826
8. 82857
8. 72359
8. 74680
8. 76883
8. 78979
8. 80978
8. 82888
8. 72399
8. 72439
8. 72478
8. 72518
8. 72558
8. 74718
8. 74755
8. 74793
8. 74831
8. 74868
8. 76919
8. 76954
8. 76990
8. 77026
8. 77061
8. 79013
8. 79047
8. 79081
8. 79115
8. 79149
8. 81010
8. 81043
8. 81075
8. 81108
8. 81140
8. 82920
8. 82951
8. 82982
8. 83013
8. 83044
8. 72597
8. 74906
8. 77097
8. 79183
8. 81173
8. 83075
8. 72637
8. 72676
8. 72716
8. 72755
8. 72794
8. 74943
8. 74980
8. 75018
8. 75055
8. 75092
8. 77133
8. 77168
8. 77204
8. 77239
8. 77275
8. 79217
8. 79251
8. 79284
8. 79318
8. 79352
8. 81205
8. 81237
8. 81270
8. 81302
8. 81334
8. 83106
8. 83137
8. 83168
8. 83199
8. 83230
8. 72834
8. 75130
8. 77310
8. 79386
8. 81367
8. 83261
8. 72873
8. 72912
8. 72951
8. 72991
8. 73030
8. 75167
8. 75204
8. 75241
8. 75279
8. 75316
8. 77346
8. 77381
8. 77416
8. 77452
8. 77487
8. 79420
8. 79453
8. 79487
8. 79521
8. 79555
8. 81399
8. 81431
8. 81463
8. 81496
8. 81528
8. 83292
8. 83322
8. 83353
8. 83384
8. 83415
8. 73069
8. 75353
8. 77522
8. 79588
8. 81560
8. 83446
8. 73108
8. 73147
8. 73186
8. 73225
8. 73264
8. 75390
8. 75427
8. 75464
8. 75501
8. 75538
8. 77558
8. 77593
8. 77628
8. 77663
8. 77698
8. 79622
8. 79655
8. 79689
8. 79722
8. 79756
8. 81592
8. 81624
8. 81656
8. 81688
8. 81720
8. 83476
8. 83507
8. 83538
8. 83568
8. 83599
8. 73303
8. 75575
8. 77733
8. 79789
8. 81752
8. 83630
8. 73342
8. 73380
8. 73419
8. 73458
8. 73497
8. 75612
8. 75648
8. 75685
8. 75722
8. 75759
8. 77768
8. 77803
8. 77838
8. 77873
8. 77908
8. 79823
8. 79856
8. 79890
8. 79923
8. 79956
8. 81784
8. 81816
8. 81848
8. 81880
8. 81912
8. 83660
8. 83691
8. 83721
8. 83752
8. 83783
8. 73535
8. 75795
8. 77943
8. 79990
8. 81944
8. 83813
8. 73574
8. 73613
8. 73651
8. 73690
8. 73728
8. 75832
8. 75869
8. 75905
8. 75942
8. 75979
8. 77978
8. 78013
8. 78048
8. 78083
8. 78118
8. 80023
8. 80056
8. 80090
8. 80123
8. 80156
8. 81975
8. 82007
8. 82039
8. 82071
8. 82103
8. 83844
8. 83874
8. 83904
8. 83935
8. 83965
8. 73767
8. 76015
8. 78152
8. 80189
8. 82134
8. 83996
8. 73805
8. 73844
8. 73882
8. 73920
8. 73959
8. 76052
8. 76088
8. 76125
8. 76161
8. 76197
8. 78187
8. 78222
8. 78257
8. 78291
8. 78326
8. 80222
8. 80255
8. 80289
8. 80322
8. 80355
8. 82166
8. 82198
8. 82229
8. 82261
8. 82292
8. 84026
8. 84056
8. 84087
8. 84117
8. 84147
8. 73997
8. 76234
8. 78360
8. 80388
8. 82324
8. 84177
8. 74035
8. 74073
8. 74112
8. 74150
8. 74188
8. 76270
8. 76306
8. 76343
8. 76379
8. 76415
8. 78395
8. 78430
8. 78464
8. 78499
8. 78533
8. 80421
8. 80454
8. 80487
8. 80519
8. 80552
8. 82356
8. 82387
8. 82419
8. 82450
8. 82482
8.84208
8. 84238
8. 84268
8. 84298
8. 84328
8. 74226
8. 76451
8. 78568
8. 80585
8. 82513
8. 84358
TABLE III.
Log. Sines.
[Page 31
4° O'
Add
for
Tan.
4° W
Add
for
Tan.
4° W
Add
for
Tan.
4° W
Add
for
Tan.
4° 4r
Add
for
Tan.
4° 50^
Add
for
Tan.
+ 0"
20
30
40
50
+ I'
20
30
40
50
+ r
20
30
40
50
+ 3'
20
30
40
50
+ 4'
20
30
40
50
+ 5'
20
30
40
50
+ 6^
20
30
40
50
+ r
20
30
40
50
+ 8^
20
30
40
50
+ 9^
20
30
40
50
8. 84358
106
106
106
106
107
107
107
107
107
107
107
108
108
108
108
108
108
108
109
109
109
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111
111
111
111
111
111
111
112
112
112
112
112
112
113
113
113
113
113
113
113
114
114
114
114
114
114
114
115
115
115
8. 86128
115
115
115
115
116
116
116
116
116
116
116
117
117
117
117
117
117
118
118
118
118
118
118
118
119
119
119
119
119
119
120
120
120
120
120
120
121
121
121
121
121
121
121
122
122
122
122
122
122
123
123
123
123
123
123
124
124
124
124
124
124
8. 87829
124
124
125
125
125
125
125
125
126
126
126
126
126
126
127
127
127
127
127
127
128
128
128
128
128
128
129
129
129
129
129
129
129
130
130
130
130
130
130
131
131
131
131
131
131
132
132
132
132
132
132
133
133
133
133
133
133
134
134
134
134
8. 89464
134
134
134
135
135
135
135
135
135
136
136
136
136
136
136
137
137
137
137
137
137
138
138
138
138
138
138
139
139
139
139
139
139
140
140
140
140
140
140
141
141
141
141
141
141
142
142
142
142
142
142
143
143
143
143
143
144
144
144
144
144
8. 91040
8. 91066
8. 91092
8.91118
8. 91143
8. 91169
144
144
145
145
145
145
145
145
146
146
146
146
146
146
147
147
147
147
147
147
148
148
148
148
148
149
149
149
149
149
149
150
150
150
150
150
150
151
151
151
151
151
152
152
152
152
152
152
153
153
153
153
153
153
154
154
154
154
154
155
155
8. 92561
155
155
155
155
155
156
156
156
156
156
156
157
157
157
157
157
158
158
158
158
158
159
159
159
159
159
159
160
160
160
160
160
160
161
161
161
161
161
162
162
162
162
162
162
163
163
163
163
163
164
164
164
164
164
164
165
165
165
165
165
165
8. 84389
8.84419
8.84449
8. 84479
8. 84509
8. 86157
8. 86186
8. 86215
8. 86244
8. 86273
8. 87856
8. 87884
8. 87912
8. 87940
8. 87967
8. 89491
8. 89518
8. 89545
8. 89571
8. 89598
8. 92586
8. 92611
8. 92636
8. 92660
8. 92685
8. 84539
8. 86301
8. 87995
8. 89625
8. 91195
8.92710
8. 84569
8. 84599
8. 84629
8. 84659
8. 84688
8. 86330
8. 86359
8. 86388
8. 86416
8. 86445
8. 88023
8. 88050
8. 88078
8. 88106
8. 88133
8. 89651
8. 89678
8. 89704
8. 89731
8. 89758
8. 91221
8. 91246
8.91272
8. 91298
8. 91323
8. 92735
8. 92760
8. 92784
8. 92809
8. 92834
8. 84718
8. 86474
8. 88161
8. 89784
8. 91349
8. 92859
8. 84748
8. 84778
8. 84808
8. 84838
8. 84867
8. 86502
8. 86531
8. 86560
8. 86588
8. 86617
8. 88188
8. 88216
8. 88243
8. 88271
8. 88298
8. 89811
8. 89837
8. 89864
8. 89890
8. 89917
8. 91374
8. 91400
8. 91426
8. 91451
8. 91477
8. 92883
8. 92908
8. 92933
8. 92957
8. 92982
8. 84897
8. 86645
8. 88326
8. 89943
8. 91502
8. 93007
8. 84927
8. 84957
8. 84986
8. 85016
8. 85045
8. 86674
8. 86703
8. 86731
8. 86760
8. 86788
8. 88353
8. 88381
8. 88408
8. 88435
8. 88463
8. 89970
8. 89996
8. 90023
8. 90049
8. 90075
8. 91528
8. 91553
8. 91579
8. 91604
8. 91630
8. 93031
8. 93056
8. 93081
8. 93105
8. 93130
8. 85075
8. 86816
8. 88490
8. 90102
8. 91655
8. 93154
8. 85105
8. 85134
8. 85164
8. 85193
8. 85223
8. 86845
8. 86873
8. 86902
8. 86930
8. 86958
8. 88518
8. 88545
8. 88572
8. 88600
8. 88627
8. 90128
8. 90154
8. 90181
8. 90207
8. 90233
8. 91680
8. 91706
8.91731
8. 91757
8. 91782
8. 93179
8. 93203
8. 93228
8. 93253
8. 93277
8. 85252
8. 86987
8. 88654
8. 90260
8. 91807
8. 93301
8. 85282
8. 85311
8. 85341
8. 85370
8. 85400
8. 87015
8. 87043
8. 87072
8. 87100
8. 87128
8. 88681
8. 88709
8. 88736
8. 88763
8. 88790
8. 90286
8. 90312
8. 90338
8. 90364
8. 90391
8. 91833
8. 91858
8. 91883
8. 91909
8. 91934
8. 93326
8. 93350
8. 93375
8. 93399
8. 93424
8. 85429
8. 87156
8. 88817
8. 90417
8. 91959
8. 93448
8. 85458
8. 85488
8. 85517
8. 85546
8. 85576
8. 87185
8. 87213
8. 87241
8. 87269
8. 87297
8. 88845
8. 88872
8. 88899
8. 88926
8. 88953
8. 90443
8. 90469
8. 90495
8. 90521
8. 90548
8. 91984
8. 92010
8. 92035
8. 92060
8. 92085
8. 93472
8. 93497
8. 93521
8. 93546
8. 93570
8. 85605
8. 87325
8. 88980
8. 90574
8. 92110
8. 93594
8. 85634
8. 85663
8. 85693
8. 85722
8. 85751
8. 87354
8. 87382
8. 87410
8. 87438
8. 87466
8. 89007
8. 89034
8. 89061
8. 89088
8. 89115
8. 90600
8. 90626
8. 90652
8. 90678
8. 90704
8. 92135
8. 92161
8. 92186
8. 92211
8. 92236
8. 93619
8. 93643
8. 93667
8. 93691
8. 93716
8. 85780
8. 87494
8. 89142
8. 90730
8. 92261
8. 93740
8. 85809
8. 85838
8. 85867
8. 85896
8. 85926
8. 87522
8. 87550
8. 87578
8. 87606
8. 87634
8. 89169
8. 89196
8. 89223
8. 89250
8. 89277
8. 90756
8. 90782
8. 90808
8. 90834
8. 90859
8. 92286
8. 92311
8. 92336
8. 92361
8. 92386
8. 93764
8. 93788
8. 93812
8. 93837
8. 93861
8. 85955
8. 87661
8. 89304
8. 90885
8. 92411
8. 93885
8. 85984
8. 86013
8. 86042
8. 86070
8. 86099
8. 87689
8.87717
8. 87745
8. 87773
8. 87801
8. 89330
8. 89357
8. 89384
8. 89411
8. 89438
8. 90911
8. 90937
8. 90963
8. 90989
8. 91015
8. 92436
8. 92461
8. 92486
8. 92511
8. 92536
8. 93909
8. 93933
8. 93957
8. 93981
8. 94006
+10^
8. 86128
8. 87829
8. 89464
8. 91040
8. 92561
8. 94030
Page 32] TABLE III.
Log. Sines.
Time.
Arc.
Oh 20m 5°
Oh 24^ 6°
Oh 2Sm 7°
Oh 32m 8°
Oh 36m 9°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
8.94030
142
9.01923
lis
9.08589
102
9.14356
89
9.19433
79
60
+4
4
8
12
1
2
3
8.94174
8.94317
8.94461
14
28
43
9.02043
9.02163
9.02283
12
24
35
9.08692
9.08795
9.08897
10
20
31
9.14445
9.14535
9.14624
9
18
27
9.19513
9.19592
9.19672
8
16
24
59
58
57
56
52
48
16
20
24
4
5
6
8.94603
8.94746
8.94887
57
71
85
9.02402
9.02520
9.02639
47
59
71
9.08999
9.09101
9.09202
41
51
61
9.14714
9.14803
9.14891
36
45
53
9.19751
9.19830
9.19909
32
40
47
56
55
54
U
40
36
28
32
36
•3
S
9
8.95029
8.95170
8.95310
99
114
128
9.02757
9.02874
9.02992
83
94
106
9.09304
9.09405
9.09506
71
82
92
9.14980
9.15069
9.15157
62
71
80
9.19988
9.20067
9.20145
55
63
71
53
52
51
32
28
24
40
10
8.95450
138
9.03109
116
9.09606
99
9.15245
87
9.20223
78
50
20
44
48
52
11
12
13
8.95589
8.95728
8.95867
14
28
41
9.03226
9.03342
9.03458
12
23
35
9.09707
9.09807
9.09907
10
20
30
9.15333
9.15421
9.15508
9
17
26
9.20302
9.20380
9.20458
8
16
23
49
48
47
16
12
8
56
+1
4
14
15
16
8.96005
8.96143
8.96280
55
69
83
9.03574
9.03690
9.03805
46
58
70
9.10006
9.10106
9.10205
40
50
59
9.15596
9.15683
9.15770
35
44
52
9.20535
9.20613
9.20691
31
39
47
46
45
44
4
+3
56
8
12
16
n
18
19
8.96417
8.96553
8.96689
97
110
124
9.03920
9.04034
9.04149
81
93
104
9.10304
9.10402
9.10501
69
79
89
9.15857
9.15944
9.16030
61
70
78
9.20768
9.20845
9.20922
55
62
70
43
42
41
52
48
44
20
20
8.96825
133
9.04262
113
9.10599
97
9.16116
85
9.20999
76
40
40
24
28
32
21
22
23
8.96960
8.97095
8.97229
13
27
40
9.04376
9.04490
9.04603
11
23
34
9.10697
9.10795
9.10893
10
19
29
9.16203
9.16289
9.16374
9
17
26
9.21076
9.21153
9.21229
8
15
23
39
38
37
36
32
28
36
40
44
24
25
26
(8.97363
8.97496
8.97629
53
67
80
9.04715
9.04828
9.04940
45
57
68
9.10990
9.11087
9.11184
39
49
58
9.16460
9.16545
9.16631
34
43
51
9.21308
9.21382
9.21458
30
38
46
36
35
34
24
20
16
48
52
56
27
28
29
8.97762
8.97894
8.98026
93
106
120
9.05052
9.05164
9.05275
79
90
102
9.11281
9.11377
9.11474
68
78
87
9.16716
9.16801
9.16886
60
68
77
9.21534
9.21610
9.21685
53
61
68
33
32
31
12
8
4
+2
30
8.98157
129
9.05386
110
9.11570
95
9.16970
84
9.21761
75
30
+2
4
8
12
31
32
33
8.98288
8.98419
8.98549
13
26
39
9.05497
9.05607
9.05717
11
22
33
9.11666
9.11761
9.11857
10
19
29
9.17055
9.17139
9.17223
8
17
25
9.21836
9.21912
9.21987
8
15
23
29
28
27
56
52
48
16
20
24
34
35
36
8.98679
8.98808
8.98937
52
65
77
9.05827
9.05937
9.06046
44
55
66
9.11952
9.12047
9.12142
38
48
57
9.17307
9.17391
9.17474
34
42
50
9.22062
9.22137
9.22211
30
38
45
26
25
24
44
40
36
28
32
36
37
38
39
8.99066
8.99194
8.99322
90
103
116
9.06155
9.06264
9.06372
77
88
99
107
9.12236
9.12331
9.12425
67
76
86
9.17558
9.17641
9.17724
59
67
76
9.22286
9.22361
9.22435
53
60
68
23
23
21
32
28
24
40
40
8.99450
125
9.06481
9.12519
93
9.17807
82
9.22509
74
20
20
U
48
52
41
42
43
8.99577
8.99704
8.99830
13
25
38
9.06589
9.06696
9.06804
11
21
32
9.12612
9.12706
9.12799
9
19
28
9.17890
9.17973
9.18055
8
16
25
9.22583
9.22657
9.22731
7
15
22
19
18
17
16
12
8
56
+3
4
44
45
46
8.99956
9.00082
9.00207
50
63
75
9.06911
9.07018
9.07124
43
54
64
9.12892
9.12985
9.13078
37
47
56
9.18137
9.18220
9.18302
33
41
49
9.22805
9.22878
9.22952
30
37
44
16
15
14
4
+1
56
8
12
16
#7
48
49
9.00332
9.00456
9.00581
88
100
113
9.07231
9.07337
9.07442
75
86
96
9.13171
9.13263
9.13355
65
74
84
9.18383
9.18465
9.18547
57
66
74
9.23025
9.23098
9.23171
52
59
67
13
12
11
52
48
44
20
50
9.00704
122
9.07548
104
9.13447
91
9.18628
81
9.23244
73
10
40
24
28
32
51
52
53
9.00828
9.00951
9.01074
12
24
37
9.07653
9.07758
9.07863
10
21
31
9.13539
9.13630
9.13722
9
18
27
9.18709
9.18790
9.18871
8
16
24
9.23317
9.23390
9.23462
7
14
22
9
8
7
36
32
28
36
40
U
54
55
56
9.01196
9.01318
9.01440
49
61
73
9.07968
9.08072
9.08176
42
52
62
9.13813
9.13904
9.13994
36
46
55
9.18952
9.19033
9.19113
32
41
49
9.23535
9.23607
9.23679
29
36
43
6
5
4
24
20
16
48
52
56
57
58
59
9.01561
9.01682
9.01803
85
98
110
9.08280
9.08383
9.08486
73
83
94
9.14085
9.14175
9.14266
64
73
82
9.19193
9.19273
9.19353
57
65
73
9.23752
9.23823
9.23895
50
58
65
3
2
1
12
8
4
+4
60
9.01923
9.08589
9.14356
9.19433
9.23967
Cos.
Cos.
Cos.
Cos.
Cos.
84° 5h 36m
83° 5h 32m
82° 5h 28m | 81° 5h 24m
80° 5h 20m
Log. Cosines.
TABLE III. [Page 33
Log. Sines.
Time.
Arc.
Oh 40m 10°
Oh 44m 11°
Oh 48m 12°
Oh 52m 13°
Oh 56m 14°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. ra.
9.23967
71
9.28060
65
9.31788
59
9.35209
54
9.38368
51
60
+4
8
12
1
2
3
9.24039
9.24110
9.24181
7
14
21
9.28125
9.28190
9.28254
7
13
20
9.31847
9.31907
9.31966
6
12
18
9.35263
9.35318
9.35373
5
11
16
9.38418
9.38469
9.38519
5
10
15
59
58
57
56
52
48
16
20
24
4
5
6
9.24253
9.24324
9.24395
28
36
43
9.28319
9.28384
9.28448
26
33
39
9.32025
9.32084
9.32143
24
30
35
41
47
53
9.35427
9.35481
9.35536
22
27
32
9.38570
9.38620
9.38670
20
26
31
56
55
54
44
40
36
28
S2
36
7
8
9
9.24466
9.24536
9.24607
50
57
64
9.28512
9.28577
9.28641
46
52
59
9.32202
9.32261
9.32319
9.35590
9.35644
9.35698
38
43
49
9.38721
9.38771
9.38821
36
41
46
53
53
51
32
28
24
40
10
9.24677
70
9.28705
63
9.32378
58
9.35752
54
9.38871
50
50
20
44
48
52
11
13
13
9.24748
9.24818
9.24888
7
14
21
9.28769
9.28833
9.28896
6
13
19
9.32437
9.32495
9.32553
6
12
17
9.35806
9.35860
9.35914
5
11
16
9.38921
9.38971
9.39021
5
10
15
49
48
47
16
12
8
56
+1
4
14
15
16
9.24958
9.25028
9.25098
28
35
42
9.28960
9.29024
9.29087
25
32
38
9.32612
9.32670
9.32728
23
29
35
9.35968
9.36022
9.36075
22
27
32
9.39071
9.39121
9.39170
20
25
30
46
45
44
4
+3
56
8
12
16
17
18
19
9.25168
9.25237
9.25307
49
56
63
9.29150
9.29214
9.29277
44
50
57
9.32786
9.32844
9.32902
41
46
52
9.36129
9.36182
9.36236
38
43
49
9.39220
9.39270
9.39319
35
40
45
43
42
41
52
48
44
20
30
9.25376
69
9.29340
63
9.32960
58
9.36289
53
9.39369
49
40
40
24
28
32
31
33
33
9.25445
9.25514
9.25583
7
14
21
9.29403
9.29466
9.29529
6
12
19
9.33018
9.33075
9.33133
6
12
17
9.36342
9.36395
9.36449
5
11
16
9.39418
9.39467
9.39517
5
10
15
39
38
37
36
32
28
36
40
U
34
35
36
9.25652
9.25721
9.25790
28
35
41
9.29591
9.29654
9.29716
25
31
37
9.33190
9.33248
9.33305
23
29
35
41
46
52
9.36502
9.36555
9.36608
21
27
32
9.39566
9.39615
9.39664
20
25
29
36
35
34
24
20
16
12
8
4
48
52
56
37
38
39
9.25858
9.25927
9.25995
48
55
62
9.29779
9.29841
9.29903
43
50
56
9.33362
9.33420
9.33477
9.36660
9.36713
9.36766
37
42
48
9.39713
9.39762
9.39811
34
39
44
33
33
31
+3
30
9.26063
68
9.29966
63
9.33534
57
9.36819
53
9.39860
49
30
+3
4
8
12
33 *
33
9.26131
9.26199
9.26267
7
14
20
9.30028
9.30090
9.30151
6
12
19
9.33591
9.33647
9.33704
6
11
17
9.36871
9.36924
9.36976
5
10
16
21
26
31
9.39909
9.39958
9.40006
5
10
15
39
38
37
56
52
48
16
20
24
34
35
36
9.26335
9.26403
9.26470
27
34
41
9.30213
9.30275
9.30336
25
31
37
9.33761
9.33818
9.33874
23
29
34
9.37028
9.37081
9.37133
9.40055
9.40103
9.40152
20
25
29
36
35
34
44
40
36
28
32
36
37
38
39
9.26538
9.26605
9.26672
48
54
61
9.30398
9.30459
9.30521
43
50
56
9.33931
9.33987
9.34043
40
46
51
9.37185
9.37237
9.37289
36
42
47
9.40200
9.40249
9.40297
34
39
44
33
33
31
32
28
24
40
40
9.26739
67
9.30582
61
9.34100
56
9.37341
53
9.40346
48
30
20
44
48
52
41
43
43
9.26806
9.26873
9.26940
7
13
20
9.30643
9.30704
9.30765
6
12
18
9.34156
9.34212
9.34268
6
11
17
9.37393
9.37445
9.37497
5
10
16
9.40394
9.40442
9.40490
5
10
14
19
18
17
16
12
8
56
+3
4
M
45
. 46
9.27007
9.27073
9.27140
27
34
40
9.30826
9.30887
9.30947
24
31
37
9.34324
9.34380
9.34436
22
28
34
9.37549
9.37600
9.37652
21
26
31
9.40538
9.40586
9.40634
19
24
29
16
15
14
4
+1
56
8
12
16
47
48
49
9.27206
9.27273
9.27339
47
54
60
9.31008
9.31068
9.31129
43
49
55
9.34491
9.34547
9.34602
39
45
50
9.37703
9.37755
9.37806
36
42
47
9.40682
9.40730
9.40778
34
38
43
13
13
11
52
48
44
20
50
9.27405
66
9.31189
60
9.34658
55
9.37858
51
9.40825
47
10
40
24
28
32
51
53
53
9.27471
9.27537
9.27602
7
13
20
9.31250
9.31310
9.31370
6
12
18
9.34713
9.34769
9.34824
6
11
17
9.37909
9.37960
9.38011
5
10
15
9.40873
9.40921
9.40968
5
9
14
9
8
7
36
32
28
36
40
U
54
55
56
9.27668
9.27734
9.27799
26
33
40
9.31430
9.31490
9.31549
24
30
36
9.34879
9.34934
9.34989
22
28
33
9.38062
9.38113
9.38164
20
26
31
9.41016
9.41063
9.41111
19
24
28
6
5
4
24
20
16
48
52
56
57
58
59
9.27864
9.27930
9.27995
46
53
59
9.31609
9.31669
9.31728
42
48
54
9.35044
9.35099
9.35154
39
44
50
9.38215
9 38266
9.38317
36
41
46
9.41158
9.41205
9.41252
33
38
42
3
3
1
12
8
4
+4
60
9.28060
9.31788
9.35209
9.38368
9.41300
Cos.
Cos.
Cos.
Cos.
Cos.
79° . 5hl6m
78° 5h 12m
77° 5h 8m
76° 5h 4m
75° 5h om
Log. Cosines.
55901'
Page 34] TAJBLE III.
Log. Sines.
Time.
Arc.
ih Om 15°
Ih^m 16°
Ihgm 17°
lhi2m 18°
Ih 16m 19° Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
9.41300
47
9.44034
44
9.46594
41
9.48998
39
9.51264
36
60
+i
4
8
12
1
2
3
9.41347
9.41394
9.41441
5
9
14
9.44078
9.44122
9.44166
4
9
13
9.46635
9.46676
9.46717
4
8
12
9.49037
9.49076
9.49115
4
8
12
9.51301
9.51338
9.51374
4
7
11
59
58
57
56
52
48
16
20
U
4
5
6
9.41488
9.41535
9.41582
19
24
28
9.44210
9.44253
9.44297
18
22
26
9.46758
9.46800
9.46841
16
21
25
9.49153
9.49192
9.49231
16
20
23
9.51411
9.51447
9.51484
14
18
22
56
55
54
44
40
36
28
32
36
7
8
9
9.41628
9.41675
9.41722
33
38
42
9.44341
9.44385
9.44428
31
35
40
9.46882
9.46923
9.46964
29
33
37
9.49269
9.49308
9.49347
27
31
35
9.51520
9.51557
9.51593
25
29
32
53
52
51
32
28
24
40
10
9.41768
46
9.44472
43
9.47005
41
9.49385
39
9.51629
36
50
20
44
48
52
11
12
13
9.41815
9.41861
9.41908
5
9
14
9.44516
9.44559
9.44602
4
9
13
9.47045
9.47086
9.47127
4
8
12
9.49424
9.49462
9.49500
4
8
12
9.51666
9.51702
9.51738
4
7
11
49
48
47
10
12
8
56
+1
4
14
15
16
9.41954
9.42001
9.42047
18
23
28
9.44646
9.44689
9.44733
17
22
26
9.47168
9.47209
9.47249
16
21
25
9.49539
9.49577
9.49615
16
20
23
9.51774
9.51811
9.51847
14
18
22
48
45
44
4
+3
56"
8
12
16
17
18
19
9.42093
9.42140
9.42186
32
37
41
9.44776
9.44819
9.44862
30
34
39
9.47290
9.47330
9.47371
29
33
37
9.49654
9.49692
9.49730
27
31
35
9.51883
9.51919
9.51955
25
29
32
43
42
41
52
48
44
20
20
9.42232
46
9.44905
43
9.47411
40
9.49768
38
9.51991
38
40
40
24
28
32
21
22
23
9.42278
9.42324
9.42370
5
9
14
9.44948
9.44992
9.45035
4
9
13
9.47452
9.47492
9.47533
4
8
12
9.49806
9.49844
9.49882
4
8
11
9.52027
9.52063
9.52099
4
7
11
39
38
37
36
32
28
36
40
U
24
25
26
9.42416
9.42461
9.42507
18
23
28
9.45077
9.45120
9.45163
17
22
26
9.47573
9.47613
9.47654
16
20
24
9.49920
9.49958
9.49996
15
19
23
9.52135
9.52171
9.52207
14
18
22
36
35
34
24
20
16
48
52
56
27
28
29
9.42553
9.42599
9.42644
32
37
41
9.45206
9.45249
9.45292
30
34
39
9.47694
9.47734
9.47774
28
32
36
9.50034
9.50072
9.50110
27
30
34
9.52242
9.52278
9.52314
25
29
32
33
32
31
12
8
4
+3
30
9.42690
45
9.45334
42
9.47814
40
9.50148
38
9.52350
35
30
+2
4
8
12
31
32
33
9.42735
9.42781
9.42826
5
9
14
9.45377
9.45419
9.45462
4
8
13
9.47854
9.47894
9.47934
4
8
12
9.50185
9.50223
9.50261
4
8
11
9.52385
9.52421
9.52456
4
7
11
29
28
27
.56-
52
48
16
20
24
34
35
36
9.42872
9.42917
9.42962
18
23
27
9.45504
9.45547
9.45589
17
21
25
9.47974
9.48014
9.48054
16
20
24
9.50298
9.50336
9.50374
15
19
23
9.52492
9.52527
9.52563
14
18
21
26
25
24
U
40
36
28
32
36
37
38
39
9.43008
9.43053
9.43098
32
36
41
9.45632
9.45674
9.45716
29
34
38
9.48094
9.48133
9.48173
28
32
36
9.50411
9.50449
9.50486
27
30
34
9.52598
9.52634
9.52669
25
28
32
23
22
21
32
28
24
40
40
9.43143
45
9.45758
42
9.48213
40
9.50523
37
9.52705
35
20
20
44
48
52
41
42
43
9.43188
9.43233
9.43278
5
9
14
9.45801
9.45843
9.45885
4
8
13
9.48252
9.48292
9.48332
4
8
12
9.50561
9.50598
9.50635
4
7
11
9.52740
9.52775
9.52811
4
7
11
19
18
17
16
12
8
56
+3
4
44
45
46
9.43323
9.43367
9.43412
18
23
27
9.45927
9.45969
9.46011
17
21
25
9.48371
9.48411
9.48450
16
20
24
9.50673
9.50710
9.50747
15
19
22
9.52846
9.52881
9.52916
14
18
21
16
15
14
4
+1
56
8
12
16
47
48
49
9.43457
9.43502
9.43546
32
36
41
9.4G053
9.46095
9.46136
29
34
38
9.48490
9.48529
9.48568
28
32
36
9.50784
9.50821
9.50858
26
30
33
9.52951
9.52986
9.53021
25
28
32
13
12
11
52
48
U
20
50
9.43591
44
9.46178
41
9.48607
39
9.50896
37
9.53056
35
10
40
24
28
32
51
52
53
9.43635
9.43680
9.43724
4
9
13
9.46220
9.46262
9.46303
4
8
12
9.48647
9.48686
9.48725
4
8
12
9.50933
9.50970
9.51007
4
7
11
9.53092
9.53126
9.53161
4
7
11
9
8
7
36
32
28
36
40
44
54
55
56
9.43769
9.43813
9.43857
18
22
26
9.46345
9.46386
9.46428
16
21
25
9.48764
9.48803
9.48842
16
20
23
9.51043
9.51080
9.51117
15
19
22
9.53196
9.53231
9.53266
14
18
21
6
5
4
24
20
16
4S
52
56
67
68
59
9.43901
9.43946
9.43990
31
35
40
9.46469
9.46511
9.46552
29
33
37
9.48881
9.48920
9.48959
27
31
35
9.51154
9.51191
9.51227
26
30
33
9.53301
9.53336
9.53370
25
28
32
3
2
1
12
8
4
+*
69
9.44034
9.46594
9.48998
9.51264
9.53405
Cos.
Cos.
Cos.
Cos.
Cos.
74° 4'^ 56m
73° 4^ 52m
72° 4^ 48m
71° 4^ -f^'"
70° 4h 40m
Log, Coaines.
TABLE III. [Page 35
Log. Sines.
Time.
Arc.
1^ 20m 20°
lh2pn 21°
lh2Sm 22°
Ih 32m 23°
1^ 06m 24°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
9.53405
35
9.55433
33
9.57358
31
9.59188
30
9.60931
28
60
+4
4
8
12
1
2
3
9.53440
9.53475
9.53509
4
7
11
9.55466
9.55499
9.55532
3
7
10
9.57389
9.57420
9.57451
3
6
9
9.59218
9.59247
9.59277
3
6
9
9.60960
9.60988
9.61016
3
6
8
59
58
57
56
55
54
56
52
48
44
40
36
16
•20
24
1
5
6
9.53544
9.53578
9.53613
14
18
21
9.55564
9.55597
9.55630
13
17
20
9.57482
9.57514
9.57545
12
16
19
9.59307
9.59.336
9.59366
12
15
18
9.61045
9.61073
9.61101
11
14
17
28
32
36
7
8
9
9.53647
9.53682
9.53716
25
28
32
9.55663
9.55695
9.55728
23
26
30
9.57576
9.57607
9.57638
22
25
28
9.59396
9.59425
9.59455
21
24
27
9.61129
9.61158
9.61186
20
22
25
53
52
51
32
28
24
40
10
9.53751
34
9.55761
32
9.57669
31
9.59484
29
9.61214
28
50
20
U
48
52
11
12
13
9.53785
9.53819
9.53854
3
7
10
9.55793
9.55826
9.55858
3
6
10
9.57700
9.57731
9.57762
3
6
9
9.59514
9.59543
9.59573
3
6
9
9.61242
9.61270
9.61298
3
6
8
49
48
47
16
12
8
36
+1
4
11
15
16
9.53888
9.53922
9.53957
14
17
20
9.55891
9.55923
9.55956
13
16
19
9.57793
9.57824
9.57855
12
16
19
9.59602
9.59632
9.59661
12
15
17
9.61326
9.61354
9.61382
11
14
17
46
45
44
43
42
41
4
+3
56
8
12
16
17
18
19
9.53991
9.54025
9.54059
24
27
31
9.55988
9.56021
9.56053
22
26
29
9.57885
9.57916
9.57947
22
25
28
9.59690
9.59720
9.59749
20
23
26
9.61411
9.61438
9.61466
20
22
25
52
48
44
20
20
9.54093
34
9.56085
32
9.57978
30
9.59778
29
9.61494
28
40
40
24
28
32
21
22
23
9.54127
9.54161
9.54195
3
7
10
9.56118
9.56150
9.56182
3
6
10
9.58008
9.58039
9.58070
3
6
9
9.59808
9.59837
9.59866
3
6
9
9.61522
9.61550
9.61578
3
6
8
39
38
37
36
32
28
36
40
44
24
25
26
9.54229
9.54263
9.54297
14
17
20
9.56215
9.56247
9.56279
13
16
19
9.58101
9.58131
9.58162
12
15
18
9.59895
9.59924
9.59954
12
15
17
9.61606
9.61634
9.61662
11
14
17
36
35
34
24
20
16
48
52
56
27
28
29
9.54331
9.54365
9.54399
24
27
31
9.56311
9.56343
9.56375
22
26
29
9.58192
9.58223
9.58253
21
24
27
9.59983
9.60012
9.60041
20
23
26
9.61689
9.61717
9.61745
20
22
25
33
32
31
12
8
4
+2
30
9.54433
34
9.56408
32
9.58284
30
9.60070
29
9.61773
28
30
+2
4
8
12
31
32
33
9.54466
9.54500
9.54534
3
7
10
9.56440
9.56472
9.56504
3
6
10
9.58314
9.58345
9.58375
3
6
9
9.60099
9.60128
9.60157
3
6
9
9.61800
9.61828
9.61856
3
6
8
29
28
27
56
52
48
16
20
24
34
35
36
9.54567
9.54601
9.54635
14
17
20
9.56536
9.56568
9.56599
13
16
19
9.58406
9.58436
9.58467
12
15
18
9.60186
9.60215
9.60244
12
15
17
9.61883
9.61911
9.61939
11
14
17
26
25
24
U
40
36
28
32
36
37
38
39
9.54668
9.54702
9.54735
24
27
31
9.56631
9.56663
9.56695
22
26
29
9.58497
9.58527
9.58557
21
24
27
9.60273
9.60302
9.60331
20
23
26
9.61966
9.61994
9.62021
20
22
25
23
22
21
32
28
24
40
40
9.54769
33
9.56727
32
9.58588
30
9.60359
29
9.62049
27
20
20
U
48
52
41
42
43
9.54802
9.54836
9.54869
3
7
10
9.56759
9.56790
9.56822
3
6
10
9.58618
9.58648
9.58678
3
6
9
9.60388
9.60417
9.60446
3
6
9
9.62076
9.62104
9.62131
3
5
8
19
18
17
16
12
8
56
+3
4
44
45
46
9.54903
9.54936
9.54969
13
17
20
9.56854
9.56886
9.56917
13
16
19
9.58709
9.58739
9.58769
12
15
18
9.60474
9.60503
9.60532
12
15
17
9.62159
9.62186
9.62214
11
14
16
16
15
14
4
+1
56
8
12
16
47
48
49
9.55003
9.55036
9.55069
23
26
30
9.56949
9.56980
9.57012
22
26
29
9.58799
9.58829
9.58859
21
24
27
9.60561
9.60589
9.60618
20
23
26
9.62241
9.62268
9.62296
19
22
24
13
12
11
52
48
U
20
50
9.55102
33
9.57044
31
9.58889
30
9.60646
29
9.62323
27
10
40
24
28
32
51
52
53
9.55136
9.55169
9.55202
3
7
10
9.57075
9.57107
9.57138
3
6
9
9.58919
9.58949
9.58979
3
6
9
9.60675
9.60704
9.60732
3
6
9
9.62350
9.62377
9.62405
3
5
8
9
8
7
36
32
28
36
40
U
54
55
56
9.55235
9.55268
9.55301
13
17
20
9.57169
9.57201
9.57232
12
16
19
9.59009
9.59039
9.59069
12
15
18
9.60761
9.60789
9.60818
12.
15
17
9.62432
9.62459
9.62486
11
14
16
6
5
4
24
20
16
4S
52
56
57
58
59
9.55334
9.55367
9.55400
23
26
30
9.57264
9.57295
9.57326
22
25
28
9.59098
9.59128
9.59158
21
24
27
9.60846
9.60875
9.60903
20
23
26
9.62513
9.62541
9.62568
19
22
24
3
2
1
12
8
4
+4
60
9.55433
9.57358
9.59188
9.60931
9.62595
Cos.
Cos.
Cos.
Cos.
Cos.
69° 4^ 36m
68° 4h 32-m
67° 4^ 28m
66° 4^ 24m
65° 4^ 20m
Log. Cosines.
Page 36] TABLE III.
Log Sines.
Time.
Arc.
1^40171 25°
Ih 44m 36°
lh4Sm 270
lh52'm 38°
ift 56'm 39°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
m. s.
9.62595
27
9.64184
26
9.65705
25
9.67161
24
9.68557
23
60
+4
4
8
12
1
3
9.62622
9.62G49
9.62676
3
5
8
9.64210
9.64236
9.64262
3
5
8
9.65729
9.65754
9.65779
3
5
8
9.67185
9.67208
9.67232
2
5
7
9.68580
9.68603
9.68625
2
5
7
59
58
57
56
52
48
16
20
24
4
5
6
9.62703
9.62730
9.62757
11
14
16
9.64288
9.64313
9.64339
10
13
16
9.G5804
9.65828
9.65853
10
13
15
9.67256
9.67280
9.67303
10
12
14
9.68648
9.68671
9.68694
9
12
14
56
55
54
U
40
36
28
32
36
7
8
9
9.62784
9.62811
9.62838
19
22
24
9.64365
9.64391
9.64417
18
21
23
9.65878
9.65902
9.65927
18
20
23
9.67327
9.67350
9.67374
17
19
22
9.68716
9.68739
9.68762
16
18
21
53
52
51
32
28
24
40
10
9.62865
37
9 64442
36
9.65952
35
9.67398
23
9.68784
23
50
20
U
48
52
11
12
13
9.62892
9.62918
9.62945
3
5
8
9.64468
9.64494
9.64519
3
5
8
9.65976
9.66001
9.66025
3
5
8
9.67421
9.67445
9.67468
2
5
7
9.68807
9.68829
9.68852
2
5
7
49
48
47
16
12
8
56
+1
4
14
15
16
9.62972
9.62999
9.63026
11
14
16
9.64545
9.64571
9.64596
10
13
16
9.66050
9.66075
9.66099
10
13
15
9.67492
9.67515
9.67539
9
12
14
9.68875
9.68897
9.68920
9
12
14
46
45
44
4
+3
56
8
12
16
17
18
19
9.63052
9.63079
9.63106
19
22
24
9.64622
9.64647
9.64673
18
21
23
9.66124
9.66148
9.66173
18
20
23
9.67562
9.67586
9.67609
16
18
21
9.68942
9.68965
9.68987
16
18
21
43
42
41
52
48
44
20
20
9.63133
37
9.64698
35
9.66197
34
9.67633
23
9.69010
23
40
40
24
28
32
31
32
23
9.63159
9.63186
9.63213
3
5
8
9.64724
9.64749
9.64775
3
5
8
9.66221
9.66246
9.66270
2
5
7
9.67656
9.67680
9.67703
2
5
7
9.69032
9.69055
9.69077
2
4
7
39
38
37
36
32
28
36
40
44
24
25
26
9.63239
9.63266
9.63292
11
14
16
9.64800
9.64826
9.64851
10
13
15
9.66295
9.66319
9.66343
10
12
14
9.67726
9.67750
9.67773
9
12
14
9.69100
9.69122
9.69144
9
11
13
36
35
34
24
20
16
48
52
56
37
28
29
9.63319
9.63345
9.63372
19
22
24
9.64877
9.64902
9.64927
18
20
23
9.66368
9.66392
9.66416
17
19
22
9.67796
9.67820
9.67843
16
18
21
9.69167
9.69189
9.69212
15
18
20
33
32
31
12
8
4
+2
30
9.63398
36
9.64953
25
9.66441
34
9.67866
23
9.69234
23
30
+2
4
8
12
31
32
33
9.63425
9.63451
9.63478
3
5
8
9.64978
9.65003
9.65029
3
5
8
9.66465
9.66489
9.66513
2
5
7
9.67890
9.67913
9.67936
2
5
7
9.69256
9.69279
9.69301
2
4
i
39
38
37
56
52
48
16
20
24
28
32
36
34
35
36
37
38
39
9.63504
9.63531
9.63557
10
13
16
9.65054
9.65079
9.65104
10
13
15
9.66537
9.66562
9.66586
10
12
14
9.67959
9.67982
9.68006
9
12
14
9.69323
9.69345
9.69368
9
11
13
36
35
34
44
40
36
9.63583
9.63610
9.63636
18
21
23
9.65130
9.65155
9.65180
18
20
23
9.66610
9.66634
9.66658
17
19
22
9.68029
9.68052
9.68075
16
18
21
9.69390
9.69412
9.69434
15
18
20
33
32
31
32
28
24
40
40
9.63662
36
9.65205
25
9.66682
34
9.68098
23
9.69456
33
30
20
44
48
52
41
43
43
9.63689
9.63715
9.63741
3
5
8
9.65230
9.65255
9.65281
3
5
8
9.66706
9.66731
9.66755
2
5
7
9.68121
9.68144
9.68167
2
5
7
9.69479
9.69501
9.69523
2
4
7
19
28
17
16
12
8
56
+3
4
44
45
46
9.63767
9.63794
9.63820
10
13
16
9.65306
9.65331
9.65356
10
13
15
9.66779
9.66803
9.66827
10
12
14
9.68190
9.68213
9.68237
9
12
14
9.69545
9.69567
9.69589
9
11
13
16
15
14
4
+1
56
8
12
16
47
48
49
9.63846
9.63872
9.63898
18
21
23
9.65381
9.65406
9.65431
18
20
23
9.66851
9.66875
9.66899
17
19
22
9.68260
9.68283
9.68305
16
18
21
9.69611
9.69633
9.69655
15
18
20
13
12
11
52
48
U
20
50
9.63924
36
9.65456
35
9.66922
34
9.68328
33
9.09677
32
10
40
24
28
32
51
53
53
9.63950
9.63976
9.64002
3
5
8
9.65481
9.65506
9.65531
3
5
8
9.66946
9.66970
9.66994
2
5
7
9.68351
9.68374
9.68397
2
5
7
9.69699
9.69721
9.69743
2
4
7
9
8
7
36
32
28
36
40
U
54
55
56
9.64028
9.64054
9.64080
10
13
16
9.65556
9.65580
9.65605
10
13
15
9.67018
9.67042
9.67066
10
12
14
9.68420
9.68443
9.68466
9
12
14
9.69765
9.69787
9.69809
9
11
13
6
5
4
24
20
16
48
52
56
57
58
59
9.64106
9.64132
9.64158
18
21
23
9.65630
9.65655
9.65680
18
20
23
9.67090
9.67113
9.67137
17
19
22
9.6S489
9.68512
9.68534
16
18
21
9.69831
9.69853
9.69875
15
18
20
3
2
1
12
8
4
+4
60
9.64184 (
9.65705
9.67161
9.68557
9.69897
Cos.
Cos.
Cos.
Cos.
Cos.
!
64° 4^ 16m
63° 4^ 12^
62° 4^ 5"»
61° 4^ 4"*
60° 4^ 0^
Log. Coaiues.
TABLE III. [Page 37
Log Sines.
Time.
Arc.
2h om 30°
2h 4m 31°
on sm 32°
2h 12m 33°
2h 16m 34°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
+4
9.69897
22
9.71184
21
9.72421
20
9.73611
19
9.74756
19
60
4
8
12
1
3
3
9.69919
9.69941
9.69963
2
4
7
9.71205
9.71226
9.71247
2
4
6
9.72441
9.72461
9.72482
2
4
6
8
10
12
9.73630
9.73650
9.73669
2
4
6
9.74775
9.74794
9.74812
2
4
6
59
58
57
56
52
48
16
20
24
5
6
9.69984
9.70006
9.70028
9
11
13
9.71268
9.71289
9.71310
8
11
13
9.72502
9.72522
9.72542
9.73689
9.73708
9.73727
8
10
11
9.74831
9.74850
9.74868
8
10
11
56
55
54
44
40
36
28
32
36
7
8
9
9.70050
9.70072
9.70093
15
18
20
9.71331
9.71352
9.71373
15
17
19
9.72562
9.72582
9.72602
14
16
18
9.73747
9.73766
9.73785
9.73805
13
15
17
19
9.74887
9.74906
9.74924
13
15
17
53
52
51
32
28
24
40
10
9.70115
22
9.71393
21
9.72622
20
9.74943
19
50
20
U
48
52
11
13
13
9.70137
9.70159
9.70180
2
4
7
9.71414
9.71435
9.71456
4
6
9.72643
9.72663
9.72683
2
4
6
9.73824
9.73843
9.73863
2
4
6
9.74961
9.74980
9.74999
2
4
6
49
48
47
16
12
8
56
+1
4
U
15
16
9.70202
9.70224
9.70245
9
11
13
9.71477
9.71498
9.71519
8
11
13
9.72703
9.72723
9.72743
8
10
12
9.73882
9.73901
9.73921
8
10
11
9.75017
9.75036
9.75054
8
10
11
46
45
44
4
+3
56
8
12
16
17
18
19
9.70267
9.70288
9.70310
15
18
20
9.71539
9.71560
9.71581
15
17
19
9.72763
9.72783
9.72803
14
16
18
9.73940
9.7.3959
9.73978
13
15
17
9.75073
9.75091
9.75110
13
15
17
43
42
41
52
48
U
20
20
9.70332
21
9.71602
31
9.72823
20
9.73997
19
9.75128
18
40
40
24
28
32
21
22
23
9.70353
9.70375
9.70396
2
4
6
9.71622
9.71643
9.71664
2
4
6
9.72843
9.72863
9. 72883
2
4
6
9.74017
9.74036
9.74055
2
4
9.75147
9.75165
9.75184
2
4
5
39
38
37
36
32
28
36
40
U
24
25
26
9.70418
9.70439
9.70461
8
11
13
9.71685
9.71705
9.71726
8
11
13
9.72902
9.72922
9.72942
8
10
12
9.74074
9.74093
9.74113
8
10
11
9.75202
9.75221
9.75239
7
9
11
36
35
34
24
20
16
48
52
56
27
28
29
9.70482
9.70504
9.70525
15
17
19
9.71747
9.71767
9.71788
15
17
19
9.72962
9.72982
9.73002
14
16
18
9.74132
9.74151
9.74170
13
15
17
9.75258
9.75276
9.75294
13
14
16
33
32
31
12
S
4
+3
30
9.70547
21
9.71809
21
9.73022
20
9.74189
19
9.75313
18
30
+2
4
8
12
31
32
33
9.70568
9.70590
9.70611
2
4
6
9.71829
9.71850
9.71870
2
4
6
9.73041
9.73061
9.73081
2
4
6
9.74208
9.74227
9.74246
2
4
6
9.75331
9.75350
9.75368
2
4
5
29
28
27
56
52
48
16
20
24
34
35
36
9.70633
9.70654
9.70675
8
11
13
9.71891
9.71911
9.71932
8
11
13
9.73101
9.73121
9.73140
8
10
12
9.74265
9.74284
9.74303
8
10
11
9.75386
9.75405
9.75423
7
9
11
26
25
24
44
40
36
28
32
36
37
38
39
9.70697
9.70718
9.70739
15
17
19
9.71952
9.71973
9.71994
15
17
19
9.73160
9.73180
9.7.3200
14
16
18
9.74322
9.74341
9.74360
13
15
17
9.75441
9.75459
9.75478
13
14
16
23
22
21
32
28
24
40
40
9.70761
21
9.72014
30
9.73219
20
9.74379
19
9.75496
18
20
20
44
48
52
41
42
43
9.70782
9.70803
9.70824
2
4
6
9.72034
9.72055
9.72075
2
4
6
9.73239
9.73259
9.73278
2
4
6
9.74398
9.74417
9.74436
2
4
6
9.75514
9.75533
9.75551
2
4
5
19
18
17
16
12
8
56
+3
4
44
45
46
9.70846
9.70867
9.70888
8
11
13
9.72096
9.72116
9.72137
8
10
12
9.73298
9.73318
9.73337
8
10
12
9.74455
9.74474
9.74493
8
10
11
9. 755(69
9.75587
9.75605
7
9
11
16
15
14
4
+ 1
56
8
12
16
47
48
49
9.70909
9.70931
9.70952
15
17
19
9.72157
9.72177
9.72198
14
16
18
9.73357
9.73377
9.73396
14
16
18
9.74512
9.74531
9.74549
13
15
17
9.75624
9.75642
9.75660
13
14
16
13
12
11
52
48
44
20
50
9.70973
21
9.72218
20
9.73416
20
9.74568
19
9.75678
18
10
40
24
28
32
51
52
53
9.70994
9.71015
9.71036
2
4
6
9.72238
9.72259
9.72279
2
4
6
9.73435
9.73455
9.73474
2
4
6
9.74587
9.74606
9.74625
2
4
6
9.75696
9.75714
9.75733
2
4
5
9
8
7
36
32
28
36
40
U
54
55
56
9.71058
9.71079
9.71100
8
11
13
9.72299
9.72320
9.72340
8
10
12
9.73494
9.73513
9.73533
8
10
12
9.74644
9.74662
9.74681
8
10
11
9.75751
9.75769
9.75787
7
9
11
6
5
4
24
20
16
48
52
56
57
58
59
9.71121
9.71142
9.71163
15
17
19
9.72360
9.72381
9.72401
14
16
18
9.73552
9.73572
9.73591
14
16
18
9.74700
9.74719
9.74737
13
15
17
9.75805
9.75823
9.75841
13
14
16
3
2
1
12
8
4
+*
60
9.71184
9.72421
9.73611
9.74756
9.75859
Ck)s.
Cos
Cos.
Cos.
Cos.
59° 3h 56m
58° 3fi 52in
57° 3h48m
56° 3h 44m
55° 3^ 4Qm
Log Cosines.
Page 38] TABLE III.
Log. Sines.
Time.
Arc.
2^ 20m 35°
2h 24^ 36°
2h 28m 37°
2^ 32m 38°
2^ S6m 39°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. J'. ]'.
Sine. P. P.
Sine. P. P.
/
s. m.
9.75859
18
9.76922
17
9.77946
17
9.78934
16
9.79887
16
60
+4
4
8
12
1
2
3
9.75877
9.75895
9.75913
2
4
5
9.76939
9.76957
9.76974
2
3
5
9.77963
9.77980
9.77997
2
3
5
9.78950
9.78967
9.78983
2
3
5
9.79903
9.79918
9.79934
2
3
5
59
58
57
56
52
48
16
20
24
4
5
6
9.75931
9.75949
9.75967
7
9
11
9.70991
9.77009
9.77026
7
9
10
9.78013
9.78030
9.78047
7
9
10
9.78999
9.79015
9.79031
6
8
10
9.79950
9.79965
9.79981
6
8
10
56
55
54
44
40
36
28
32
36
7
8
9
10
9.75985
9.76003
9.76021
13
14
16
9.77043
9.77061
9.77078
12
14
15
9.78063
9.78080
9.78097
12
14
15
9.79047
9.79063
9.79079
11
13
14
16
9.79996
9.80012
9.80027
9.80043'
11
13
14
15
53
53
51
32
28
24
40
9.76039
18
9.77095
17
9.78113
17
9.79095
50
20
44
48
52
11
13
13
9.76057
9.76075
9.76093
2
4
5
9.77112
9.77130
9.77147
2
3
5
9.78130
9.78147
9.78163
2
3
5
9.79111
9.79128
9.79144
2
3
5
9.80058
9.80074
9.80089
2
3
5
49
48
47
16
12
8
56
+1
4
14
15
16
9.76111
9.76129
9.76146
7
9
11
9.77164
9.77181
9.77199
7
9
10
9.78180
9.78197
9.78213
7
9
10
9.79160
9.79176
9.79192
6
8
10
9.80105
9.80120
9.80136
6
8
9
46
45
44
4
+3
56
8
12
16
17
18
19
9.76164
9.76182
9.76200
13
14
16
9.77216
9.77233
9.77250
12
14
15
9.78230
9.78246
9.78263
12
14
15
9.79208
9.79224
9.79240
11
13
14
9.80151
9.80166
9.80182
11
12
14
43
42
41
52
48
44
20
30
9.76218
18
9.77268
17
9.78280
16
9.79256
16
9.80197
15
40
40
24
28
32
31
33
33
9.76236
9.76253
9.70271
2
4
5
9.77285
9.77302
9.77319
2
3
5
9.78296
9.78313
9.78329
2
3
5
9.79272
9.79288
9.79304
2
3
5
9.80213
9.80228
9.80244
2
3
5
39
38
37
36
32
28
36
40
U
34
35
26
9.76289
9.76307
9.76324
7
9
11
9.77336
9.77353
9.77370
7
9
10
9.78346
9.78362
9.78379
6
8
10
9.79319
9.79335
9.79351
6
8
10
9.80259
9.80274
9.80290
6
8
9
36
35
34
24
20
16
48
52
56
37
38
39
9.76342
9.76360
9.76378
13
14
16
9.77387
9.77405
9.77422
12
14
15
17
9.78395
9.78412
9.78428
11
13
14
9.79367
9.79383
9.79399
11
13
14
9.80305
9.80320
9.80336
11
12
14
33
33
31
12
8
4
+2
30
9.76395
18
9.77439
9.78445
16
9.79415
16
9.80351
15
30
+2
4
8
12
31
33
33
9.76413
9.76431
9.76448
2
4
5
9.77456
9.77473
9.77490
2
3
5
9.78461
9.78478
9.78494
2
3
5
9.79431
9.79447
9.79463
2
3
5
9.80366
9.80382
9.80397
2
3
5
39
38
37
56
52
48
16
20
24
34
35
36
9.76466
9.76484
9.76501
7
9
11
9.77507
9.77524
9.77541
.7
9
10
9.78510
9.78527
9.78543
6
8
10
9.79478
9.79494
9.79510
6
8
10
11
13
14
9.80412
9.80428
9.80443
6
8
9
36
35
34
44
40
36
28
32
36
37
38
39
9.76519
9.76537
9.76554
13
14
16
9.77558
9.77575
9.77592
12
14
15
9.78560
9.78576
9.78592
11
13
14
9.79526
9.79542
9.79558
9.80458
9.80473
9.80489
11
12
14
33
33
31
30
32
28
24
40
40
9.76572
17
9.77609
17
9.78609
16
9.79573
16
9.80504
15
20
44
48
52
41
43
43
9.76590
9.76607
9.76625
2
3
5
9.77626
9.77643
9.77660
2
3
5
9.78625
9.78642
9.78658
2
3
5
9.79589
9.79605
9.79621
2
3
5
9.80519
9.80534
9.80550
2
3
5
19
18
17
16
12
8
56
+3
4
44
45
46
9.70642
9.76660
9.76677
7
9
10
9.77677
9.77694
9.77711
7
9
10
9.78674
9.78691
9.78707
6
8
10
9.79636
9.79652
9.79668
6
8
10
9.80565
9.80580
9.80595
6
8
9
16
15
14
4
+1
56
8
12
16
47
48
49
9.76695
9.76712
9.76730
12
14
15
9.77728
9.77744
9.77761
12
14
15
9.78723
9.78739
9.78756
11
13
14
9.79684
9.79699
9.79715
11
13
14
9.80610
9.80625
9.80641
11
12
14
13
13
11
52
48
U
20
50
9.76747
17
9.77778
17
9.78772
16
9.79731
16
9.80656
15
10
40
24
28
32
51
53
53
9.76765
9.76782
9.76800
2
3
5
9.77795
9.77812
9.77829
2
3
5
9.78788
9.78805
9.78821
2
3
5
9.79746
9.79762
9.79778
2
3
5
9.80671
9.806S6
9.80701
2
3
5
9
8
7
36
32
28
36
40
44
54
55
56
9.76817
9.76835
9.76852
7
9
10
9.77846
9.77862
9.77879
7
9
10
9.78837
9.78853
9.78869
6
8
10
9.79793
9.79809
9.79825
6
8
10
9.80716
9.80731
9.80746
6
8
9
6
5
4
24
20
16
48
52
56
57
58
59
9.76870
9.76887
9.76904
12
14
15
9.77896
9.77913
9.77930
12
14
15
9.78886
9.78902
9.78918
11
13
14
9.79840
9.79856
9.79872
11
13
14
9.80762
9.80777
9.80792
11
12
14
3
2
1
12
8
4
+4
60
9.76922
9.77946 !
9.78934
9.79887
9.80807
1
Cos.
Cos.
Cos.
Cos.
Cos.
54° Sn 36m
53° Sh 33'n
53° 3h 28m
61° .5ft 24"^
50° 3h 20m
Log. Cosines.
TABLE III. [Page 39
Log. Sines.
Time.
Arc.
2h 40m 40°
2h 44m 41°
^h 48m 42°
2h 52m 43°
2h 56m 44°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sinp. P. P.
'
s. m.
9.80807
15
9.81694
14
9.82551
9.82565
9.82579
9.82593
14
9.83378
14
9.84177
13
60
+4
4
8
12
1
2
3
9.80822
9.80837
9.80852
2
3
5
9.81709
9.81723
9.81738
1
3
4
1
3
4
9.83392
9.83405
9.83419
1
3
4
9.84190
9.84203
9.84216
1
3
4
59
58
57
56
52
4S
16
20
24
4
5
6
9.80867
9.80882
9.80897
6
8
9
9.81752
9.81767
9.81781
6
7
8
9.82607
9.82621
9.82635
9.82649
9.82663
9.82677
6
7
8
9.83432
9.83446
9.83459
7
8
9.84229
9.84242
9.84255
5
7
8
56
55
54
44
40
36
28
32
36
1
8
9
9.80912
9.80927
9.80942
11
12
14
9.81796
9.81810
9.81825
10
11
13
10
11
13
9.83473
9.83486
9.83500
10
11
13
9.84269
9.84282
9.84295
9
10
12
53
52
51
32
28
24
40
10
9.80957
15
9.81839
14
9.82691
14
9.83513
13
9.84308
13
50
20
44
48
52
11
12
13
9.80972
9.80987
9.81002
2
o
5
9.81854
9.81868
9.81882
1
3
4
9.82705
9.82719
9.82733
1
3
4
9.83527
9.83540
9.83554
1
3
4
9.84321
9.84334
9.84347
1
3
4
49
48
47
46
45
44
16
12
8
56
+1
4
15
16
9.81017
9.81032
9.81047
6
8
9
9.81897
9.81911
9.81926
6
7
8
9.82747
9.82761
9.82775
6
7
8
9.83567
9.83581
9.83594
5
7
8
9.84360
9.84373
9.84385
5
7
8
4
+3
56
8
12
16
17
18
19
9.81061
9.81076
9.81091
11
12
14
9.81940
9.81955
9.81969
10
11
13
9.82788
9.82802
9.82816
10
11
13
9.83608
9.83621
9.83634
9
10
12
9.84398
9.84411
9.84424
9
10
12
43
42
41
52
48
44
20
20
9.81106
15
9.81983
14
9.82830
14
9.83648
13
9.84437
13
40
40
24
28
32
21
23
23
9.81121
9.81136
9.81151
2
3
5
9.81998
9.82012
9.82026
1
3
4
9.82844
9.82858
9.82872
1
3
4
9.83661
9.83674
9.83688
1
3
4
5
7
8
9.84450
9.84463
9.84476
1
3
4
39
38
37
36
32
28
36
40
U
U
25
26
9.81166
9.81180
9.81195
6
8
9
9.82041
9.82055
9.82069
6
7
8
9.82885
9.82899
9.82913
6
7
8
9.83701
9.83715
9.83728
9.84489
9.84502
9.84515
5
7
8
36
35
34
24
20
16
48
52
56
27
28
29
9.81210
9.81225
9.81240
11
12
14
9.82084
9.82098
9.82112
10
11
13
9.82927
9.82941
9.82955
10
11
13
9.83741
9.83755
9.83768
9
10
12
9.84528
9.84540
9.84553
9
10
12
33
32
31
12
8
4
+3
30
9.81254
15
9.82126
14
9.82968
14
9.83781
13
9.84566
13
30
+2
4
8
12
31
32
33
9.81269
9.81284
9.81299
3
5
9.82141
9.82155
9.82169
1
3
4
9.82982
9.82996
9.83010
1
3
4
9.83795
9.83808
9.83821
1
3
4
9.84579
9.84592
9.84605
1
4
29
28
27
56
52
48
16
20
24
34
35
36
9.81314
9.81328
9.81343
6
8
9
9.82184
9.82198
9.82212
6
7
8
9.83023
9.83037
9.83051
6
7
8
9.83834
9.83848
9.83861
5
7
8
9.84618
9.84630
9.84643
5
7
8
26
25
24
44
40
36
28
32
36
37
38
39
9.81358
9.81372
9.81387
11
12
14
9.82226
9.82240
9.82255
10
11
13
9.83065
9.83078
9.83092
10
11
13
9.83874
9.83887
9.83901
9
10
12
9.84656
9.84669
9.84682
9
10
12
23
23
31
32
28
24
40
40
9.81402
15
9.82269
14
9.83106
14
9.83914
13
9.84694
13
20
20
44
48
52
41
42
43
9.81417
9.81431
9.81446
2
3
5
9.82283
9.82297
9.82311
1
3
4
9.83120
9.83133
9.83147
1
4
9.83927
9.83940
9.83954
1
3
4
9.84707
9.84720
9.84733
1
3
4
19
18
17
16
12
8
56
4-3
4
44
45
46
9.81461
9.81475
9.81490
6
8
9
9.82326
9.82340
9.82354
6
7
8
9.83161
9.83174
9.83188
6
n
i
8
9.83967
9.83980
9.83993
5
7
8
9.84745
9.84758
9.84771
5
7
8
16
15
14
4
+1
56
8
12
16
47
48
49
9.81505
9.81519
9.81534
11
12
14
9.82368
9.82382
9.82396
9.82410
10
11
13
9.83202
9.83215
9.83229
10
11
13
14
9.84006
9.84020
9.84033
9
10
12
9.84784
9.84796
9.84809
9
10
12
13
12
11
52
48
U
20
50
9.81549
14
14
9.83242
9.84046
13
1
3
4
9.84822
13
10
40
24
28
32
51
52
53
9.81563
9.81578
9.81592
1
3
4
9.82424
9.82439
9.82453
1
3
4
9.83256
9.83270
9.83283
1
3
4
9.84059
9.84072
9.84085
9.84835
9.84847
9.84860
1
3
4
9
8
7
36
32
28
36
40
44
54
55
56
9.81007
9.81622
9.81636
6
7
8
9.82467
9.82481
9.82495
6
7
8
9.83297
9.83310
9.83324
6
7
8
9.84098
9.84112
9.84125
5
7
8
9.84873
9.84885
9.84898
5
7
8
6
5
4
24
20
16
48
52
56
57
58
59
9.81651
9.81665
9.81680
10
11
13
9.82509
9.82523
9.82537
10
11
13
9.83338
9.83351
9.83365
10
11
13
9.84138
9.84151
9.84164
9
10
12
9.84911
9.84923
9.84936
9
10
12
3
2
1
12
8
4
+4 1 60
9.81694
9.82551
9.83378
9.84177
9.84949
Cos.
Cos.
Cos.
Cos.
Cos.
49° 3h -?6™
48° .5^ lom
47° 3h Sm
46° 3h 4m
45° Jft 0^
Log. Cosines.
Page 40] TABLE III.
Log. Sines.
Time.
Arc.
3^ 0"> 45°
3h 4m 46°
Sh 8m 47°
3Ji 12m 48°
3h 16m 490
Arc.
Time.
m. s.
'
Sine. P.P.
Sine. P.P.
Sine. P.P.
Sine. P.P.
Sine. P.P.
'
s. m.
9.84949
13
9.85693
12
9.86413
12
9.87107
11
9.87778
11
60
+4
4
8
12
1
2
3
9.84961
9.84974
9.84986
1
3
4
9.85706
9.85718
9.85730
1
2
4
9.86425
9.86436
9.86448
1
2
4
9.87119
9.87130
9.87141
1
2
3
9.87789
9.87800
9.87811
1
2
3
59
58
57
56'
52
48
16
20
24
4
5
6
9.84999
9.85012
9.85024
5
7
8
9.85742
9.85754
9.85766
5
6
7
9.86460
9.86472
9.86483
9.86495
9.86507
9.86518
5
6
7
8"
10
11
9.87153
9.87164
9.87175
4
6
7
8
9
10
9.87822
9.87833
9.87844
4
6
56
55
54
44
40
36
32
28
24
20
28
32
36
7
8
9
9.85037
9.85049
9.85062
9
10
12
9.85779
9.85791
9.85803
8
10
11
12
9.87187
9.87198
9.87209
9.87855
9.87866
9.87877
8
9
10
53
52
51
50
40
10
9.85074
13
9.85815
9.86530
12
9.87221
11
9.87887
11
U
4S
52
11
n
13
9.85087
9.85100
9.85112
1
3
4
9.85827
9.85839
9.85851
1
2
4
9.86542
9.86554
9.86565
1
2
4
9.87232
9.87243
9.87255
1
2
3
9.87898
9.87909
9.87920
1
2
3
49
48
47
16
12
8
56
+1
4
14
15
16
9.85125
9.85137
9.85150
5
7
8
9.85864
9.85876
9.85888
5
6
7
9.86577
9.86589
9.86600
5
6
7
9.87266
9.87277
9.87288
4
6
7
9.87931
9.87942
9.87953
4
6
7
46
45
44
4
4-3
56
8
12
16
17
18
19
9.85162
9.85175
9.85187
9
10
12
9.85900
9.85912
9.85924
8
10
11
9.86612
9.86624
9.86635
9.86647
8
10
11
9.87300
9.87311
9.87322
8
9
10
9.87964
9.87975
9.87985
8
9
10
43
42
41
52
48
44
20
20
9.85200
13
9.85936
12
12
9.87334
11
9.87996
11
40
40
24
28
32
21
22
23
9.85212
9.85225
9.85237
1
2
4
9.85948
9.85960
9.85972
1
2
4
9.86659
9.86670
9.86682
1
2
4
9.87345
9.87356
9.87367
1
2
3
9.88007
9.88018
9.88029
1
2
3
39
38
37
36
32
28
36
40
44
24
25
26
9.85250
9.85262
9.85274
5
6
7
9.85984
9.85996
9.86008
5
6
7
9.86694
9.86705
9.86717
5
6
7
9.87378
9.87390
9.87401
4
6
7
9.88040
9.88051
9.88061
4
6
7
36
35
34
33
32
31
24
20
16
^t8
52
56
+3
27
28
29
9.85287
9.85299
9.85312
8
10
11
9.86020
9.86032
9.86044
8
10
11
9.86728
9.86740
9.86752
8
10
11
9.87412
9.87423
9.87434
' 8
9
10
9.88072
9.88083
9.88094
8
9
10
12
8
4
30
9.85324
12
9.86056
12
9.86763
12
9.87446
11
9.88105
11
30
+2
4
8
12
31
32
33
9.85337
9.85349
9.85361
1
2
4
5
6
7
9.86068
9.86080
9.86092
9.86104
9.86116
9.86128
1
2
4
5
6
7
9.86775
9.86786
9.86798
1
2
4
9.87457
9.87468
9.87479
1
2
3
9.88115
9.88126
9.88137
1
2
3
29
28
27
56
52
48
16
20
24
34
35
36
9.85374
9.85386
9.85399
9.86809
9.86821
9.86832
5
6
7
9.87490
9.87501
9.87513
4
6
7
9.88148
9.88158
9.88169
4
6
7
26
25
24
44
40
36
28
32
36
37
38
39
9.85411
9.85423
9.85436
8
10
11
9.86140
9.86152
9.86164
8
10
11
9.86844
9.86855
9.86867
8
10
11
9.87524
9.87535
9.87546
8
9
10
11
9.88180
9.88191
9.88201
8
9
10
23
22
21
32
28
24
40
40
9.85448
12
9.86176
12
9.86879
11
9.87557
9.88212
11
20
20
44
48
52
41
42
43
9.85460
9.85473
9.85485
1
2
4
9.86188
9.86200
9.86211
1
2
4
9.86890
9.86902
9.86913
1
2
3
9.87568
9.87579
9.87590
1
2
3
9.88223
9.88234
9.88244
1
2
3
19
18
17
16
12
8
56
+3
4
44
45
46
9.85497
9.85510
9.85522
5
6
7
9.86223
9.86235
9.86247
5
6
7
9.86924
9.86936
9.86947
4
6
7
9.87601
9.87613
9.87624
4
6
7
9.88255
9.88266
9.88276
4
6
7
16
15
14
4
+1
56
8
12
16
47
48
49
9.85534
9.85547
9.85559
8
10
11
9.86259
9.86271
9.86283
8
10
11
9.86959
9.86970
9.86982
8
9
10
9.87635
9.87646
9.87657
8
9
10
9.88287
9.88298
9.88308
8
9
10
13
12
11
52
48
44
20
50
9.85571
12
9.86295
12
9.86993
11
9.87668
11
9.88319
11
10
40
24
28
32
51
52
53
9.85583
9.85596
9.85608
1
2
4
9.86306
9.86318
9.80330
1
2
4
9.87005
9.87016
9.87028
1
2
3
9.87679
9.87690
9.87701
1
2
3
9.88330
9.88340
9.88351
1
2
3
9
8
7
36
32
28
36
40
U
54
55
56
9.85620
9.85632
9.85645
5
6
7
9.86342
9.86354
9.86366
9.86377
9.86389
9.86401
5
6
7
9.87039
9.87050
"9.87062
4
6
7
9.87712
9.87723
9.87734
4
6
7
9.88362
9.88372
9.88383
9.88394
9.88404
9.88415
4
6
7
6
5
4
24
20
le
48
52
56
57
58
59
9.85657
9.85669
9.85681
8
10
11
8
10
11
9.87073
9.87085
9.87096
8
9
10
9.87745
9.87750
9.87767
8
9
10
8
9
10
3
2
1
12
8
4
+4
60
9.85693
9.86413
9.87107
9.87778
9.88425
1
Cos.
Cos.
Cos.
Cos.
Cos.
44° 2h 56m
43° 2h 52m
42° 2h 48m
41° 2h44m
40° 2h 40m
Log. Cosines.
TABLE III. [Page 41
Log. Sines.
Time.
Arc.
3^1 20'm. 50°
3fi' 24'm 51°
3h 28^ 52°
3h 32m 53°
,3h 3r,m 540
Arc.
Time.
m. s.
'
Sine. P.P.
Sine. P.P.
Sine. P.P.
Sine. P.P.
Sine. P.P.
'
s. m.
9.88425
11
9.89050
10
9.89653
10
9.90235
9
9.90796
9
60
+4
A
8
12
1
2
3
9.88436
9.884-47
9.88457
1
2
3
9.89060
9.89071
9.89081
1
2
3
9.89663
9.89673
9.89683
1
2
.3
9.90244
9.90254
9.90263
1
2
9.90805
9.90814
9.90823
1
2
59
58
57
56-
52
48
16
20
24
4
5
6
9.88468
9.88478
9.88489
4
6
7
9.89091
9.89101
9.89112
4
5
6
9.89693
9.89702
9.89712
4
5
6
9.90273
9.90282
9.90292
4
5
5
9.90832
9.90842
9.90851
4
5
5
56
55
54
44
40
36
2S
32
36
7
8
9
9.88499
9.88510
9.88521
8
9
10
9.89122
9.89132
9.89142
7
8
9
9.89722,
9.89732'
9.89742
7
8
9
9.90301
9.90311
9.90320
6
7
8
9.90860
9.90869
9.90878
6
7
8
53
52
51
32
28
24
40
10
9.88531
11
9.89152
10
9.89752
10 9.90330
9
9.90887 9 1
50
20
44
48
52
11
12
13
9.88542
9.88552
9.88563
1
2
3
9.89162
9.89173
9.89183
1
2
3
9.89761
9.89771
9.89781
1 9.90339
2 9.90349
3 9.90358
1
3
9.90896
9.90906
9.90915
1
49
48
47
16
12
8 •
56
+1
4
14
15
16
9.88573
9.88584
9.88594
4
6
7
9.89193
9.89203
9.89213
4
5
6
9.89791
9.89801
9.89810
4
5
6
9.90308
9.90377
9.90386
4
5
5
9.90924
9.90933
9.90942
4
5
5
46
45
44
4
+3
56
8
12
16
17
18
19
9.88605
9.88615
9.88626
8
9
10
9.89223
9.89233
9.89244
7
8
9
9.89820
9.89830
9.89840
7
8
9
9.90396
9.90405
9.90415
6
7
8
9.90951
9.90960
9.90969
6
7
8
43
42
41
52
48
44
20
20
9.83636
10
9.89254
10
9.89849
10
9.90424
9
9.90978
9
49
40
24
28
32
21
22
23
9.88647
9.88657
9.88668
1
2
3
9.89264
9.89274
9.89284
1
2
3
9.89859
9.89869
9.89879
1
2
3
9.90434
9.90443
9.90452
1
2
3
9.90987
9.90996
9.91005
1
39
38
37
36
32
28
36
40
44
24
25
26
9.88678
9.88688
9.88699
4
5
6
9.89294
9.89304
9.89314
9.89324
9.89334
9.89344
4
5
6
9.89888
9.89898
9.89908
4
5
6
9.90462
9.90471
9.90480
4
5
5
9.91014
9.91023
9.91033
4
5
5
36
35
34
24
20
16
48
52
56
27
28
29
9.88709
9.88720
9.88730
7
8
9
7
8
9
9.89918
9.89927
9.89937
7
8
9
9.90490
9.90499
9.90509
6
7
8
9.91042
9.91051
9.91060
6
1
8
33
32
31
12
8
4
+2
30 9.88741
10
9.89354
10
9.89947
10
9.90518
9
9.91069
9
30
+2
4
8
12
31
32
33
9.88751
9.88761
9.88772
1
2
3
9.89364
9.89375
9.89385
1
2
3
9.89956
9.89966
9.89976
1
2
3
9.90527
9.90537
9.90546
1
2
3
9.91078
9.91087
9.91096
1
29
28
27
56
52
48
16
20
24
34
35
36
9.88782
9.88793
9.88803
4
5
6
9.89395
9.89405
9.89415
4
5
6
9.89985
9.89995
9.90005
4
5
6
9.90555
9.90565
9.90574
4
5
5
9.91105
9.91114
9.91123
4
5
5
26
25
24
4.i
40
36
28
32
36
37
38
39
9.88813
9.88824
9.88834
7
8
9
9.89425
9.89435
9.89445
7
8
9
9.90014
9.90024
9.90034
7
8
9
9.90583
9.90592
9.90002
6
7
8
9.91132
9.91141
9.91149
6
8
23
22
21
32
28
24
40
40
9.88844
10
9.89455
10
9.90043
10
9.90G11
9
9.91158
9
20
20
44
48
52
41
42
43
9.88855
9.88865
9.88875
1
2
3
9.89465
9.89475
9.89485
1
2
3
9.90053
9.90063
9.90072
1
2
3
9.90620
9.90630
9.90G39
1
2
3
9.91167
9.91176
9.91185
1
3
19
18
17
16
12
8
56
+3
4
44
45
46
9.88886
9.88896
9.88906
4
5
6
9.89495
9.89504
9.89514
4
5
6
9.90082
9.90091
9.90101
4
5
6
9.90648
9.90657
9.906G7
4
5
5
9.91194
9.91203
9.91212
4
5
5
16
15
14
4
+1
56
8
12
16
47
48
49
9.88917
9.88927
9.88937
7
8
9
9.89524
9.89534
9.89544
7
8
9
9.90111
9.90120
9.90130
7
8
9
9.90676
9.90G85
9.90694
6
7
8
9.91221
9.91230
9.91239
6
7
8
13
12
11
52
48
44
20
50
9.88948
10
9.89554
10
9.90139
10
9.90704
9
9.91248
9
10
40
24
28
32
51
52
63
9.88958
9.88968
9.88978
1
2
3
9.89564
9.89574
9.89584
1
2
3
9.90149
9.90159
9.90168
1
2
.3
9.90713
9.90722
9.90731
1
2
3
9.91257
9.91266
9.91274
1
3
9
8
7
36
32
28
36
40
44
54
55
56
9.88989
9.88999
9.89009
4
5
6
9.89594
9.89604
9.89014
4
5
6
9.90178
9.90187
9.90197
4
5
6
9.90741
9.90750
9.90759
4
5
5
9.91283
9.91292
9.91301
4
5
5
6
5
4
24
20
16
48
52
56
57
58
59
9.89010
9.89030
9.89040
7
8
9
9.89624
9.89633
9.89643
7
8
9
9.90206
9.90216
9.90225
7
8
9
9.90768
9.90777
9.90787
6
7
8
9.91310
9.91319
9.91328
6
7
8
3
2
1
12
8
4
+4
60
9.89050
9.89653
9.90235
9.90796
9.91336
!
Cos.
Cos.
Cos.
Cos.
Cos.
39° 2^ 36m
38° 2h 32^
37° i?'* 28m
36° 2h 24m
35° 2^ 20m
Lo<^. Casinos.
Page 42] TABLE III.
Log. Sines.
Time.
Are.
3^ 40m 55°
Sh 44m 56°
3h4Sm 57°
S^ 52m 58°
Sh 56m 59°
Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
/
s. m.
9.91336
9
9.91857
8
9.92359
8
9.92842
8
9.93307
8
60
+4
4
8
12
1
2
3
9.91345
9.91354
9.91363
1
2
3
9.91866
9.91874
9.91883
1
2
2
3
4
5
9.92367
9.92376
9.92384
1
2
2
9.92850
9.92858
9.92866
1
2
2
9.93314
9.93322
9.93329
9.93337
9.93344
9.93352
1
2
2
3
4
5
59
58
57
56
55
54
53
52
51
56
52
48
16
20
24
4
5
6
9.91372
9.91381
9.91389
4
5
5
9.91891
9.91900
9.91908
9.92392
9.92400
9.92408
3
4
5
9.92874
9.92881
9.92889
9.92897
9.92905
9.92913
3
4
5
U
40
36
28
32
36
7
8
9
9.91398
9.91407
9.91416
6
7
8
9.91917
9.91925
9.91934
6
6
7
9.92416
9.92425
9.92433
6
6
7
6
6
7
9.93360
9.93367
9.93375
6
6
7
32
28
24
40
10
9.91425
9
9.91942
8
9.92441
8
9.92921
8
9.93382
8
50
20
48
52
56
+1
4
11
12
13
14
15
16
9.91433
9.91442
9.91451
1
2
3
9.91951
9.91959
9.91968
1
2
2
9.92449
9.92457
9.92465
1
2
2
9.92929
9.92936
9.92944
1
2
2
9.93390
9.93397
9.93405
1
2
2
49
48
47
16
12
8
9.91460
9.91469
9.91477
4
5
5
9.91976
9.91985
9.91993
3
4
5
9.92473
9.92482
9.92490
3
4
5
6
6
7
9.92952
9.92960
9.92968
3
4
5
9.93412
9.93420
9.93427
3
4
5
46
45
44
4
+3
56
8
12
16
17
18
19
9.91486
9.91495
9.91504
6
7
8
9.92002
9.92010
9.92018
6
6
7
9.92498
9.92506
9.92514
9.92976
9.92983
9.92991
6
6
7
9.93435
9.93442
9.93450
6
6
7
43
42
41
52
48
44
20
24
28
32
20
9.91512
9
9.92027
8
9.92522
8
9.92999
8
9.93457
7
40
40
21
22
23
9.91521
9.91530
9.91538
1
2
3
4
5
5
9.92035
9.92044
9.92052
9.92060
9.92069
9.92077
1
2
2
9.92530
9.92538
9.92546
1
2
2
9.93007
9.93014
9.93022
1
2
2
9.93465
9.93472
9.93480
1
1
2
39
38
37
36
32
28
36
40
44
24
25
26
9.91547
9.91556
9.91565
3
4
5
9.92555
9.92563
9.92571
3
4
5
9.93030
9.93038
9.93046
3
4
5
9.93487
9.93495
9.93502
3
4
4
36
35
34
24
20
16
48
52
56
27
28
29
9.91573
9.91582
9.91591
6
7
8
9.92086
9.92094
9.92102
6
6
7
9.92579
9.92587
9.92595
6
6
7
9.93053
9.93061
9.93069
6
6
7
9.93510
9.93517
9.93525
5
6
6
33
32
31
12
8
4
+2
30
9.91599
9
9.92111
8
9.92603
8
9.93077
8
9.93532
7
30
+2
4
8
12
31
32
33
9.91608
9.91617
9.91625
1
2
3
9.92119
9.92127
9.92136
9.92144
9.92152
9.92161
1
2
2
9.92611
9.92619
9.92627
1
2
2
9.93084
9.93092
9.93100
1
2
2
9.93539
9.93547
9.93554
1
1
2
29
28
27
56
52
48
16
20
24
34
35
36
9.91634
9.91643
9.91651
4
5
5
6
7
8
3
4
5
9.92635
9.92643
9.92651
3
4
5
9.93108
9.93115
9.93123
3
4
5
9.93562
9.93569
9.93577
3
4
4
26
25
24
U
40
36
28
32
36
37
38
39
9.91660
9.91669
9.91677
9.92169
9.92177
9.92186
6
6
7
9.92659
9.92667
9.92675
6
6
7
9.93131
9.93138
9.93146
6
6
7
9.93584
9.93591
9.93599
5
6
6
23
22
21
32
28
24
40
40
9.91686
9
9.92194
8
9.92683
8
9.93154
8
9.93606
7
20
20
44
48
52
41
42
43
9.91695
9.91703
9.91712
1
2
3
9.92202
9.92211
9.92219
1
2
2
9.92691
9.92699
9.92707
1
2
2
9.93161
9.93169
9.93177
1
2
2
9.93614
9.93621
9.93628
1
1
2
19
18
17
16
12
8
56
+3
4
44
45
46
9.91720
9.91729
9.91738
4
5
5
9.92227
9.92235
9.92244
3
4
5
9.92715
9.92723
9.92731
3
4
5
9.93184
9.93192
9.93200
3
4
5
9.93636
9.93643
9.93650
3
4
4
16
15
14
4
+1
56
8
12
16
47
48
49
9.91746
9.91755
9.91763
6
7
8
9.92252
9.92260
9.92269
6
6
7
9.92739
9.92747
9.92755
6
6
7
9.93207
9.93215
9.93223
6
6
7
9.93658
9.93665
9.93673
5
6
6
13
12
11
52
48
U
20
50
9.91772 1 9
9.92277
8
9.92763
8
9.93230
8
9.93680
7
10
40
24
28
32
51
52
53
9.91781
9.91789
9.91798
1
2
3
9.92285
9.92293
9.92302
1
2
2
9.92771
9.92779
9.92787
1
2
2
9.93238
9.93246
9.93253
1
2
2
9.93687
9.93695
9.93702
1
1
2
9
8
7
36
32
28
36
40
44
54
55
56
9.91806
9.91815
9.91823
4
5
5
9.92310
9.92318
9.92326
3
4
5
9.92795
9.92803
9.92810
3
4
5
9.93261
9.93269
9.93276
3
4
5
9.93709
9.93717
9.93724
3
4
4
6
5
4
24
20
16
48
52
56
57
58
59
9.91832
9.91840
9.91849
6
7
8
9.92335
9.92343
9.92351
6
6
7
9.92818
9.92826
9.92834
6
6
7
9.93284
9.93291
9.93299
6
6
7
9.93731
9.93738
9.93746
5
6
6
3
2
1
12
8
4
+*
60
9.91857
9.92359
9.92842
9.93307
9.93753
Cos.
Cos.
Cos.
Cos.
Cos.
34° 2hl6m
33° 2hl2m
32° 2h sm
31° 2h4m
30° 2h Om
Log. Cosines.
TABLE III. [Page 43
Log. Siuea.
Time.
Arc. 4^0m 60° |
4h 4m 61°
4h sm 62°
4h 12m 63°
4h 16m 64°
Arc.
Time.
m. s.
'
Sine. P. P. 1
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. in.
9.93753
7
9.94182
7
9.94593
7
1
1
2
9.94988
9.94995"
9.95001
9.95007
6
9.95366
6
60
+4
A
8
12
1
3
9.93760
9.93768
9.93775
1
1
2
9.94189
9.94196
9.94203
1
1
2
9.94600
9.94607
9.94614
1
1
2
9.95372
9.95378
9.95384
1
1
2
59
58
57
56
52
48
16
20
24
4
5
6
9.93782
9.93789
9.93797
3
4
4
9.94210
9.94217
9.94224
3
4
4
9.94620
9.94627
9.94634
3
4
4
9.95014
9.95020
9.95027
2
3
4
9.95391
9.95397
9.95403
2
3
4
56
55
54
53
52
51
44
40
36
28
32
36
7
8
9
9.93804
9.93811
9.93819
5
6
6
9.94231
9.94238
9.94245
5
6
6
9.94640
9.94647
9.94654
5
6
6
9.95033
9.95039
9.95046
4
5
5
9.95409
9.95415
9.95421
4
5
5
32
28
24
40
10
9.93826
7
9.94252
7
9.94660
7
9.95052
6
9.95427
6
50
20
U
48
52
11
12
13
9.93833
9.93840
9.93847
1
1
2
9.94259
9.94266
9.94273
1
1
2
9.94667
9.94674
9.94680
1
1
2
9.95059
9.95065
9.95071
1
1
2
9.95434
9.95440
9.95446
1
1
2
49
48
47
16
12
8
56
+1
4
14
15
16
9.93855
9.93862
9.93869
3
4
4
9.94279
9.94286
9.94293
3
4
4
9.94687
9.94694
9.94700
3
4
4
9.95078
9.95084
9.95090
2
3
4
9.95452
9.95458
9.95464
2
3
4
46
45
44
4
+3
56
S
12
16
18
19
9.93876
9.93884
9.93891
5
6
6
9.94300
9.94307
9.94314
5
6
6
9.94707
9.94714
9.94720
5
6
6
9.95097
9.95103
9.95110
4
5
5
9.95470
9.95476
9.95482
4
5
5
43
43
41
52
48
U
20
30
9.93898
7
9.94321
7
9.94727
7
9.95116
6
9.95488
6
40
40
24
28
32
32
23
9.93905
9.93912
9.93920
1
1
2
9.94328
9.94335
9.94342
1
1
2
9.94734
9.94740
9.94747
1
1
2
9.95122
9.95129
9.95135
1
1
2
9.95494
9.95500
9.95507
i
1
2
39
38
37
36
32
28
36
40
U
24
25
26
9.93927
9.93934
9.93941
3
4
4
9.94349
9.94355
9.94362
3
4
4
9.94753
9.94760
9.94767
3
4
4
9.95141
9.95148
9.95154
2
3
4
9.95513
9.95519
9.95525
2
3
4
36
35
34
24
20
16
48
52
56
27
28
29
9.93948
9.93955
9.93963
5
6
6
9.94369
9.94376
9.94383
5
6
6
9.94773
9.94780
9.94786
5
6
6
9.95160
9.95167
9.95173
4
5
5
9.95531
9.95537
9.95543
4
5
5
33
32
31
12
8
4
+2
30
9.93970
7
9.94390
7
9.94793
7
9.95179
6
9.95549
6
30
+3
4
8
12
31
33
33
9.93977
9.93984
9.93991
1
1
2
9.94397
9.94404
9.94410
1
1
2
9.94799
9.94806
9.94813
1
1
2
9.95185
9.95192
9.95198
1
1
2
9.95555
9.95501
9.95567
1
1
2
29
28
27
56
52
48
16
20
24
34
35
36
9.93998
9.94005
9.94012
3
4
4
9.94417
9.94424
9.94431
3
4
4
9.94819
9.94826
9.94832
3
4
4
9.95204
9.95211
9.95217
2
3
4
9.95573
9.95579
9.95585
2
3
4
36
35
24
U
40
36
28
32
36
37
38
39
9.94020
9.94027
9.94034
5
6
6
9.94438
9.94445
9.94451
5
6
6
9.94839
9.94845
9.94852
5
6
9.95223
9.95229
9.95236
4
5
5
9.95591
9.95597
9.95603
4
5
5
23
23
31
32
28
24
40
40
9.94041
7
9.94458
7
9.94858
7
9.95242
6
9.95609
6
30
20
44
48
52
41
43
43
9.94048
9.94055
9.94062
1
1
2
9.94465
9.94472
9.94479
1
1
2
9.94865
9.94871
9.94878
1
1
2
9.95248
9.95254
9.95261
1
»1
2
9.95615
9.95621
9.95627
1
1
2
19
18
17
16
12
8
56
+3
4
44
45
46
9.94069
9.94076
9.94083
3
4
4
9.94485
9.94492
9.94499
3
4
4
9.94885
9.94891
9.94898
3
4
4
9.95267
9.95273
9.95279
2
3
4
9.95633
9.95639
9.95645
2
3
4
16
15
14
4
+1
56
8
12
16
47
48
49
9.94090
9.94098
9.94105
5
6
6
9.94506
9.94513
9.94519
5
6
6
9.94904
9.94911
9.94917
5
6
6
9.95286
9.95292
9.95298
4
5
5
9.95651
9.95657
9.95663
4
5
5
13
13
11
52
48
44
20
50
9.94112
7
9.94526'
7
9.94923
7
9.95304
6
9.95668
6
10
40
24
28
32
51
53
53
9.94119
9.94126
9.94133
1
1
2
9.94533
9.94540
9.94546
1
1
2
9.94930
9.94936
9.94943
1
1
2
9.95310
9.95317
9.95323
1
1
2
9.95074
9.95680
9.95686
1
1
2
9
8
7
36
32
28
36
40
44
54
55
56
9.94140
9.94147
9.94154
3
4
4
9.94553
9.945C0
9.94567
3
4
4
9.94949
9.94956
9.94962
3
4
4
9.95329
9.95335
9.95341
2
3
4
9.95692
9.95698
9.95704
2
3
4
6
5
4
24
20
16
48
52
56
57
58
59
9.94161
9.94168
9.94175
5
6
6
9.94573
9.94580
9.94587
5
6
6
9.94969
9.94975
9.94982
5
6
6
9.95348
9.95554
9.95360
4
5
5
9.95710
9.95716
9.95722
4
5
5
3
1
12
8
4
+*
60
9.94182
9.94593
9.94988
9.95366
9.95728 1
Cos.
Cos.
Cos.
Cos.
Cos.
39° iJi 56^
28° lh52m
27° Ih 48m
26° IhU^
25° Ih 40m
Log. Cosinea.
Page 44] TABT.E III.
Log. Sines.
Time.
Arc.
4^ 20m 65°
4^ 24"^ 66°
4h 28m 67°
4^1 32m 68°
4^ 36m 69°
Arc.
Time.
m. s.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
9.95728
6
9.96073
6
9.96403
5
9.96717
5
9.97015
5
60
+4
4
8
12
1
2
3
9.95783
9.95739
9.95745
1
1
2
9.96079
9.96084
9.96090
1
1
2
9.96408
9.96413
9.96419
1
1
2
9.96722
9.96727
9.9G732
1
1
2
9.97020
9.97025
9.97030
1
1
2
59
58
57
56
52
48
16
20
24
4
5
6
9.95751
9.95757
9.95763
2
3
4
9.96095
9.96101
9.96107
2
3
4
9.96424
9.96429
9.96435
2
3
3
9.96737
9.96742
9.96747
2
3
3
9.97035
9.97039
9.97044
2
3
3
56
55
54
44
40
36
28
32
36
7
8
9
9.95769
9.95775
9.95780
4
5
5
9.96112
9.96118
9.96123
4
5
5
9.96440
9.96445
9.96451
4
4
5
9.96752
9.96757
9.96762
4
4
5
9.97049
9.97054
9.97059
4
4
5
53
52
51
32
28
24
40
10
9.95786
6
9.96129
6
9.96456
5
9.96767
5
9.97063
5
50
20
44
48
52
11
12
13
9.95792
9.95798
9.95804
1
1
2
9.96135
9.96140
9.96146
1
1
2
9.96461
9.96467
9.96472
1
1
2
9.96772
9.96778
9.96783
1
1
2
9.97068
9.97073
9.97078
1
1
2
49
48
47
16
12
8
56
+1
4
14
15
16
9.95810
9.95815
9.95821
2
3
4
9.96151
9.96157
9.96162
2
3
4
9.96477
9.96483
9.96488
2
3
3
9.96788
9.96793
9.96798
2
3
3
9.97083
9.97087
9.97092
3
3
46
45
44
4
+3
56
8
12
16
17
18
19
9.95827
9.95833
9.95839
4
5
5
9.96168
9.96174
9.96179
4
5
5
9.96493
9.96498
9.96504
4
4
5
9.96803
9.96808
9.96813
4
4
5
9.97097
9.97102
9.97107
4
4
5
43
42
41
52
48
44
20
20
9.95844
6
9.96185
5
9.96509
5
9.96818
5
9.97111
5
40
40
24
28
32
21
22
23
9.95850
9.95856
9.95862
1
1
2
9.96190
9.96196
9.96201
1
1
2
9.96514
9.96520
9.96525
1
1
2
9.96823
9.96828
9.96833
1
1
2
9.97116
9.97121
9.97126
1
1
2
39
38
37
36
32
28
36
40
44
24
25
26
9.95868
9.95873
9.95879
2
3
4
9.96207
9.96212
9.96218
2
3
3
9.96530
9.96535
9.96541
2
3
3
9.96838
9.96843
9.96848
2
3
3
9.97130
9.97135
9.97140
2
3
3
36
35
34
24
20
16
48
52
56
27
28
29
9.95885
9.95891
9.95897
4
5
5
9.96223
9.96229
9.96234
4
4
5
9.96546
9.96551
9.96556
4
4
5
9.96853
9.96858
9.96863
4
4
5
9.97145
9.97149
9.97154
4
4
5
33
32
31
12
8
4
+2
4
8
12
30
9.95902
6
9.96240
5
9.96562
5
9.96868
5
9.97159
5
30
+2
31
32
33
9.95908
9.95914
9.95920
1
1
2
9.96245
9.96251
9.96256
1
1
2
9.96567
9.96572
9.96577
1
1
2
9.96873
9.96878
9.96883
1
1
2
9.97163
9.97168
9.97173
1
1
2
29
28
27
56
52
48
16
20
24
34
35
36
9.95925
9.95931
9.95937
2
3
4
9.96262
9.96267
9.96273
2
3
3
9.96582
9.96588
9.96593
2
3
3
9.96888
9.96893
9.96898
2
3
3
9.97178
9.97182
9.97187
2
3
3
26
25
24
44
40
36
28
32
36
37
38
39
9.95942
9.95948
9.95954
4
5
5
9.96278
9.96284
9.96289
4
4
5
9.96598
9.96603
9.96608
4
4
5
9.96903
9.96907
9.96912
4
4
5
9.97192
9.97196
9.97201
4
4
5
23
22
21
32
28
24
40
40
9.959G0
6
9.96294
5
9.96614
5
9.96917
5
9.97206
5
20
20
44
48
52
41
42
43
9.95965
9.95971
9.95977
1
1
2
9.96300
9.96305
9.96311
1
1
2
9.96619
9.96624
9.96629
1
1
2
9.96922
9.96927
9.96932
1
1
2
9.97210
9.97215
9.97220
1
1
2
19
18
17
16
12
8
56
+3
4
44
45
46
9.95982
9.95988
9.95994
2
3
4
9.96316
9.96322
9.96327
2
3
3
9.96634
9.96640
9.96645
2
3
3
9.96937
9.96942
9.96947
2
3
3
9.97224
9.97229
9.97234
2
3
3
16
15
14
4
+1
56
8
12
16
47
48
49
9.96000
9.96005
9.96011
4
5
5
9.96333
9.96338
9.96343
4
4
5
9.96650
9.96655
9.96660
4
4
5
9.96952
9.96957
9.96962
4
4
5
9.97238
9.97243
9.97248
4
4
5
13
12
11
52
48
44
20
24
28
32
50
9.96017
6
9.96349
5
9.96665
9.96670
9.96676
9.96681
5
9.96966
5
9.97252
5
10
40
51
52
53
9.96022
9.96028
9.96034
1
1
2
9.96354
9.96360
9.96365
1
1
2
1
1
2
9.96971
9.96976
9.96981
1
1
2
9.97257
9.97262
9.97266
1
1
2
9
8
7
36
32
28
36
40
44
54
55
56
9.96039
9.96045
9.96050
2
3
4
9.96370
9.96376
9.96381
2
3
3
9.96686
9.96691
9.96696
2
3
3
9.96986
9.96991
9.96996
2
3
3
9.97271
9.97276
9.97280
2
3
3
6
5
4
24
20
16
48
52
56
57
58
59
9.96056
9.96062
9.96067
4
5
5
9.96387
9.96392
9.96397
4
4
5
9.96701
9.96706
9.96711
4
4
5
9.97001
9.97005
9.97010
4
4
5
9.97285
9.97289
9.97294
4
4
5
3
2
1
12
8
4
+*
60
9.96073
9.96403
9.96717
9.97015
9.97299
Cos.
Cos.
Cos.
Cos.
Cos.
24° Ih 36^
23° Ih 32m
22° ih 28m
21°, J A 24"^
20° 1^ 20m
1 Log. Cosines.
TiySLE III. [Page 45
Log. Sin 68.
Time.
Arc.
4h 40m 70°
4h 44m 71°
4h 48m 72°
4h 52m 73°
4h 56m 74° Arc.
Time.
m. s.
'
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P. '
8. m.
9.97299
5
9.97567
4
9.97821
4
9.98060
4
9.98284
4
60
44
4
8
12
1
2
3
9.97303
9.97308
9.97312
1
1
2
9.97571
9.97576
9.97580
1
1
9.97825
9.97829
9.97833
1
1
9.98063
9.98067
9.98071
1
1
9.98288
9.98291
9.98295
1
1
59
58
57
56
52
48
16
20
2A
4
5
6
9.97317
9.97322
9.97326
2
3
3
9.97584
9.97589
9.97593
2
2
2
9.97837
9.97841
9.97845
2
2
2
9.98075
9.98079
9.98083
2
2
2
9.98299
9.98302
9.98306
2
2
2
56
55
54
44
40
36
28
32
36
7
8
9
9.97331
9.97335
9.97340
4
4
5
9.97597
9.97602
9.97606
3
4
9.97849
9.97853
9.97857
3
3
4
9.98087
9.98090
9.98094
3
3
4
9.98309
9.98313
9.98317
3
3
4
53
52
51
32
28
24
40
10
9.97344
5
9.97610
4
9.97861
4
9.98098
4
9.98320
4
50
20
44
48
52
11
13
13
9.97349
9.97353
9.97358
1
1
2
9.97615
9.97619
9.97623
1
1
9.97866
9.97870
9.97874
1
1
9.98102
9.98106
9.98110
1
1
9.98324
9.98327
9.98331
1
1
49
48
47
16
12
8
56
+1
4
14
15
16
9.97363
9.97367
9.97372
2
3
3
9.97628
9.97632
9.97636
2
2
2
9.97878
9.97882
9.97886
2
2
2
9.98113
9.98117
9.98121
2
2
2
9.98334
9.98338
9.98342
2
2
2
46
45
44
4
+3
56
8
12
16
17
18
19
9.97376
9.97381
9.97385
4
4
5
9.97640
9.97645
9.97649
3
3
4
9.97890
9.97894
9.97898
3
3
4
9.98125
9.98129
9.98132
3
3
4
9.98345
9.98349
9.98352
3
3
4
43
42
41
52
48
44
20
20
9.97390
4
9.97653
4
9.97902
4
9.98136
4
9.98356
4
40
40
24
28
32
21
22
23
9.97394
9.97399
9.97403
1
1
9.97657
9.97662
9.97666
1
1
9.97906
9.97910
9.97914
1
1
9.98140
9.98144
9.98147
1
1
9.98359
9.98363
9.98366
1
1
2
2
2
39
38
37
36
35
34
36
32
28
36
40
U
24
25
26
9.97408
9.97412
9.97417
2
2
2
9.97670
9.97674
9.97679
2
2
2
9.97918
9.97922
9.97926
2
2
2
9.98151
9.98155
9.98159
2
2
2
9.98370
9.98373
9.98377
24
20
16
48
52
56
27
28
29
9.97421
9.97426
9.97430
3
3
4
9.97683
9.97687
9.97691
3
3
4
9.97930
9.97934
9.97938
3
3
4
9.98162
9.98166
9.98170
3
3
4
9.98381
9.98384
9.98388
3
3
4
33
32
31
12
8
4
+3
30
9.97435
4
9.97696
4
9.97942
4
9.98174
4
9.98391
3
30
+2
4
8
12
31
32
33
9.97439
9.97444
9.97448
1
1
9.97700
9.97704
9.97708
1
1
9.97946
9.97950
9.97954
1
1
9.98177
9.98181
9.98185
1
1
9.98395
9.98398
9.98402
1
1
29
28
27
56
52
48
16
20
24
34
35
36
9.97453
9.97457
9.97461
2
2
2
9.97713
9.97717
9.97721
2
2
2
9.97958
9.97962
9.97966
2
2
2
9.98189
9.98192
9.98196
2
2
2
9.98405
9.98409
9.98412
1
2
2
26
25
24
U
40
36
28
32
36
37
38
39
9.97466
9.97470
9.97475
3
3
4
9.97725
9.97729
9.97734
3
3
4
9.97970
9.97974
9.97978
3
3
4
9.98200
9.98204
9.98207
3
3
4
9.98415
9.98419
9.98422
2
2
3
23
22
21
32
28
24
40
40
9.97479
4
9.97738
4
9.97982
4
9.98211
4
9.98426
3
20
20
44
48
52
41
42
43
9.97484
9.97488
9.97492
1
1
9.97742
9.97746
9.97750
1
1
9.97986
9.97989
9.97993
1
1
9.98215
9.98218
9.98222
1
1
9.98429
9.98433
9.98436
1
1
19
18
17
16
12
8
56
+3
4
44
45
46
9.97497
9.97501
9.97506
2
2
2
9.97754
9.97759
9.97763
2
2
2
9.97997
9.98001
9.98005
2
2
2
9.98226
9.98229
9.98233
2
2
2
9.98440
9.98443
9.98447
1
2
2
16
15
14
4
56
8
12
16
47
48
49
9.97510
9.97515
9.97519
3
3
4
9.97767
9.97771
9.97775
3
3
4
9.98009
9.98013
9.98017
3
3
4
9.98237
9.98240
9.98244
3
3
4
9.98450
9.98453
9.98457
2
2
3
13
12
11
52
48
U
20
50
9.97523
4
9.97779
4
9.98021
4
9.98248
4
9.98460
3
10
40
24
28
32
51
52
53
9.97528
9.97532
9.97536
1
1
9.97784
9.97788
9.97792
1
1
9.98025
9.98029
9.98032
1
1
9.98251
9.98255
9.98259
1
1
9.98464
9.98467
9.98471
1
1
9
8
7
36
32
28
36
40
44
54
55
56
9.97541
9.97545
9.97550
2
2
2
9.97796
9.97800
9.97804
2
2
2
9.98036
9.98040
9.98044
2
2
9.98262
9.98266
9.98270
2
2
2
3
3
4
9.98474
9.98477
9.98481
1
2
2
6
5
4
24
20
16
48
52
56
57
58
59
9.97554
9.97558
9.97563
3
3
4
9.97808
9.97812
9.97817
3
3
4
9.98048
9.98052
9.98056
3
3
4
9.98273
9.98277
9.98281
9.98484
9.98488
9.98491
2
2
3
3
2
1
12
8
4
+4
60
9.97567
9.97821
9.98060
9.98284
9.98494
Cos.
Cos.
Cos.
Cos.
Cos.
1
19" Ih 16m
18° 7 A 12m
17° Ih Sm
16° Ih 4"^
15° ih om
Log. CoaLaes.
Page 46] TABLE III.
Log. Sines.
Time.
Arc.
5h Om 75°
oh 4m 76°
5h sm 77°
5h 12m 78°
5h um 79°
Arc.
Time.
m. s.
/
Sine. P. P.
Sine. P. P.
Sine. P.P.
Sine. P. P.
Sine. P. P.
t
s. m.
9.98494
3
9.98690
3
9.98872
3
9.99040
3
9.99195
9.99197
9.99200
9.99202
2
60
+4
4
8
12
16
20
24
1
2
3
9.98498
9.98501
9.98505
1
1
9.98694
9.98697
9.98700
1
1
9.98875
9.98878
9.98881
]
1
9.99043
9.99046
9.99048
1
1
59
58
57
56
52
48
4
5
6
9.98508
9.98511
9.98515
1
2
2
9.98703
9.98706
9.98709
1
2
2
9.98884
9.98887
9.98890
1
2
2
9.99051
9.99054
9.99056
1
2
2
9.99204
9.99207
9.99209
T
56
55
54
44
40
36
32
28
U
28
32
36
7
8
9
9.98518
9.98521
9.98525
2
2
3
9.98712
9.98715
9.98719
2
2
3
9.98893
9.98896
9.98898
2
2
3
9.99059
9.99062
9.99064
2
2
3
9.99212
9.99214
9.99217
2
2
53
52
51
AO
10
9.98528
3
9.98722
3
9.98901
3
9.99067
3
9.99219
2
50
20
U
48
52
11
13
13
9.98531
9.98535
9.98538
1
1
9.98725
9.98728
9.98731
1
1
9.98904
9.98907
9.98910
1
1
9.99070
9.99072
9.99075
1
1
9.99221
9.99224
9.99226
1
49
48
47
16
12
8
56
+1
4
14
15
16
9.98541
9.98545
9.98548
1
•7
2
9.98734
9.98737
9.98740
1
2
2
9.98913
9.98916
9.98919
1
2
2
9.99078
9.99080
9.99083
1
2
2
9.99229
9.99231
9.99233
1
1
1
46
45
44
4
+3
56
8
12
16
17
18
19
9.98551
9.98555
9.98558
2
2
3
9.98743
9.98746
9.98750
2
2
3
9.98921
9.98924
9.98927
2
3
9.99086
9.99088
9.99091
2
2
3
9.99236
9.99238
9.99241
1
2
2
43
42
41
52
48
44
20
30
9.98561
3
9.98753
3
9.98930
3
9.99093
3
9.99243
3
40
40
24
28
32
21
23
33
9.98565
9.98568
9.98571
1
1
9.98756
9.98759
9.98762
1
1
9.98933
9.98936
9.98938
1
1
9.99096
9.99099
9.99101
1
1
9.99245
9.99248
9.99250
1
39
38
37
36
32
28
36
40
44
34
35
36
9.98574
9.98578
9.98581
1
2
2
9.98765
9.98768
9.98771
1
2
2
9.98941
9.98944
9.98947
1
2
2
9.99104
9.99106
9.99109
1
2
2
9.99252
9.99255
9.99257
1
1
1
36
35
34
24
20
16
48
52
56
37
28
29
9.98584
9.98588
9.98591
2
2
3
9.98774
9.98777
9.98780
2
2
3
9.98950
9.98953
9.98955
2
2
3
9.99112
9.99114
9.99117
2
2
3
9.99260
9.99262
9.99264
1
2
2
33
32
31
12
8
4
+3
30
9.98594
3
9.98783
3
9.98958
3
9.99119
3
9.99267
3
30
+2
4
8
12
31
33
33
9.98597
9.98601
9.98604
1
1
9.98786
9.98789
9.98792
i
9.98961
9.98964
9.98967
1
1
9.99122
9.99124
9.99127
1
1
9.99269
9.99271
9.99274
29
38
37
56
52
48
16
20
24
34
35
36
9.98607
9.98610
9.98614
1
2
2
9.98795
9.98798
9.98801
1
2
9.98969
9.98972
9.98975
1
2
2
9.99130
9.99132
9.99135
1
2
2
9.99276
9.99278
9.99281
36
35
34
44
40
36
28
32
36
37
38
39
9.98617
9.98620
9.98623
2
2
3
9.98804
9.98807
9.98810
2
2
3
9.98978
9.98980
9.98983
2
3
9.99137
9.99140
9.99142
2
2
3
9.99283
9.99285
9.99288
2
2
33
32
21
32
28
24
40
40
9.98627
3
9.98813
3
9.989S6
3
9.99145
3
9.99290
3
20
20
44
■'t8
52
41
43
43
9.98630
9.98633
9.98636
1
1
9.98816
9.98819
9.98822
1
1
9.98989
9.98991
9.98994
1
1
9.99147
9.99150
9.99152
1
1
9.99292
9.99294
9.99297
19
18
17
16
12
8
56
+3
4
44
45
46
9.98640
9.98643
9.98646
1
2
2
9.98825
9.98828
9.98831
1
2
2
9.98997
9.99000
9.99002
1
2
2
9.99155
9.99157
9.99160
1
2
2
9.99299
9.99301
9.99304
16
15
14
4
+1
56
52
48
U
8
12
16
47
48
49
9.98649
9.98652
9.98656
2
2
3
9.98834
9.98837
9.98840
2
2
3
9.99005
9.99008
9.99011
2
2
3
9.99162
9.99165
9.99167
2
2
3
9.99306
9.99308
9.99310
2
2
13
13
11
20
50
9.98659
3
9.98843
3
9.99013
3
9.99170
2
9.99313
2
10
40
24
28
32
51
52
53
9.98662
9.98665
9.98668
1
1
9.98846
9.98849
9.98852
1
1
9.99016
9.99019
9.99022
1
1
9.99172
9.99175
9.99177
9.99315
9.99317
9.99319
9
8
7
36
32
28
36
40
44
54
55
56
9.98671
9.98675
9.98678
1
2
2
9.98855
9.98858
9.98861
1
2
2
9.99024
9.99027
9.99030
1
2
2
9.99180
9.99182
9.99185
9.99322
9.99324
9.99326
6
5
4
24
20
16
48
52
56
57
58
59
9.98681
9.98684
9.98687
2
2
3
9.98864
9.98867
9.98869
2
2
3
9.99032
9.99035
9.99038
2
2
3
9.99187
9.99190
9.99192
2
2
9.99328
9.99331
9.99333
2
2
3
2
1
12
8
4
+4
60
9.98690
9.98872
9.99040
9.99195
9.99335
Cos.
Cos.
Cos.
Cos.
Cos.
10° <
14° Oh 56m
13° Oh 52m
12° Oh 48m
11° Oh 4.'tm
Jh40m
Log. Cosines.
TABLE III. [Page 47
•^^ ^^ Cor ■^°=' ^"^^•
Time.
Arc.
5h 20m- 80°
5h 24m 81°
5h 28m 82°
5h 32m 83°
5h .36m 84°
Arc.
Time.
m. s.
'
Sine. P.P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
Sine. P. P.
'
s. m.
9.99335
2
9.99462
2
9.99575
2
9.99675
2
9.99761
1
60
+4
4
8
12
1
2
3
9.99337
9.99340
9.99342
9.99464
9.99466
9.99468
9.99577
9.99579
9.99581
9.99G77
9.99678
9.99680
9.99763
9.99764
9.99765
59
58
57
56-
52
48
16
20
24
4
5
6
9.99344
9.99346
9.99348
9.99470
9.99472
9.99474
9.99582
9.99584
9.99586
9.99681
9.99683
9.99684
9.99767
9.99768
9.99769
56
55
54
44
40
36
28
32
36
7
8
9
9.99351
9.99353
9.99355
2
o
9.99476
9.99478
9.99480
2
2
9.99588
9.99589
9.99591
2
2
9.99686
9.99687
9.99689
2
2
9.99771
9.99772
9.99773
53
52
51
32
28
24
40
10
9.99357
2
9.99482
2
9.99593
2
9.99690
1
9.99775
50
20
44
48
52
11
12
13
9.99359
9.99362
9.99364
9.99484
9.99486
9.99488
9.99595
9.99596
9.99598
9.99692
9.99693
9.99695
9.99776
9.99777
9.99778
49
48
47
16
12
8
56
+1
4
14
15
16
9.99366
9.99368
9.99370
9.99490
9.99492
9.99494
9.99600
9.99601
9.99603
9.99696
9.99698
9.99699
9.99780
9.99781
9.99782
46
45
44
4
+3
56
8
12
16
17
18
19
9.99372
9.99375
9.99377
2
2
9.99495
9.99497
9.99499
2
2
9.99605
9.99607
9.99608
2
2
9.99701
9.99702
9.99704
9.99783
9.99785
9.99786
43
42
41
52
48
U
20
20
9.99379
2
9.99501
2
9.99610
2
9.99705
9.99787
1
40
40
24
28
32
21
22
23
9.99381
9.99383
9.99385
9.99503
9.99505
9.99507
9.99612
9.99613
9.99615
1
9.99707
9.99708
9.99710
9.99788
9.99790
9.99791
39
38
37
36
32
28
36
40
44
24
25
26
9.99388
9.99390
9.99392
9.99509
9.99511
9.99513
9.99617
9.99618
9.99620
1
1
1
9.99711
9.99713
9.99714
9.99792
9.99793
9.99795
36
35
34
24
20
16
48
52
56
27
28
29
9.99394
9.99396
9.99398
2
2
9.99515
9.99517
9.99518
2
2
9.99622
9.99624
9.99625
1
2
2
9.99716
9.99717
9.99718
9.99796
9.99797
9.99798
33
32
31
12
8
4
+2
30
9.99400
2
9.99520
2
9.99627
2
9.99720
9.99800
30
+2
4
8
12
31
32
33
9.99402
9.99404
9.99407
9.99522
9.99524
9.99526
9.996:9
9.99630
9.99632
9.99721
9.99723
9.99724
9.99801
9.99802
9.99803
29
28
27
56
52
48
16
20
24
34
35
36
9.99409
9.99411
9.99413
9.99528
9.99530
9.99532
1
I"
9.99633
9.99635
9.99637
9.99726
9.99727
9.99728
9.99804
9.99806
9.99807
26
25
24
44
40
36
28
32
36
37
38
39
9.99415
9.99417
9.99419
2
2
9.99533
9.99535
9.99537
2
2
9.99638
9.99640
9.99642
2
2
9.99730
9.99731
9.99733
9.99808
9.99809
9.99810
23
22
21
32
28
24
40
40
9.99421
2
9.99539
2
9.99643
2
9.99734
9.99812
20
20
44
48
52
41
42
43
9.99423
9.99425
9.99427
1
9.99541
9.99543
9.99545
1
9.99645
9.99647
9.99648
9.99736
9.99737
9.99738
9.99813
9.99814
9.99815
19
18
17
16
12
8
56
+3
4
44
45
46
9.99429
9.99432
9.99434
1
1
1
9.99546
9.99548
9.99550
1
1
1
9.99650
9.99651
9.99653
9.99740
9.99741
9.99742
9.99816
9.99817
9.99819
16
15
14
4
+1
56
8
12
16
47
48
49
9.99436
9.99438
9.99440
1
2
2
9.99552
9.99554
9.99556
1
2
9.99655
9.99656
9.99658
2
2
9.99744
9.99745
9.99747
9.99820
9.99821
9.99822
13
12
11
52
48
44
20
50
9.99442
2
9.99557
2
9.99659
2
9.99748
9.99823
10
40
24
28
32
51
53
53
9.99444
9.99446
9.99448
1
9.99559
9.99561
9.99563
1
9.99661
9.99663
9.99664
9.99749
9.99751
9.99752
9.99824
9.99825
9.99827
9
8
7
36
32
28
36
40
U
54
55
56
9.99450
9.99452
9.99454
1
1
1
9.99565
9.99566
9.99568
1
1
1
9.99666
9.99667
9.99689
9.99753
9.99755
9.99756
9.99828
9.99829
9.99830
6
5
4
24
20
16
48
52
56
57
58
59
9.99456
9.99458
9.99460
1
2
2
9.99570
9.99572
9.99574
1
2
2
9.99670
9.99672
9.99674
2
2
9.99757
9.99759
9.99760
9.99831
9.99832
9.99833
3
2
1
12
8
4
+4
60
9.99462
1
9.99575
9.99675
9.99761
9.99834
Cos.
Cos.
Cos.
Cos.
Cos.
9° 0^ 30m
8° Oft 32m
7° 0^ 28^
6° Oh 24"^
5° Oh 20m
Log. Cosines.
Page 48J TABLE III.
Log. Sines.
Time.
Arc.
oh 40m 85°
5h 44m 86°
5h4Sm 87°
5h 52m 88°
5h 56m 89°
Arc. Time.
m. s.
'
Sine. P. P.
i^ine. P. P.
Sine.
Sine.
Sine.
' s. m.
9.99834
1
9.99894
1
9.99940
9.99974
9.99993
60
+4
4
8
12
16
20
24
1
2
3
9.99836
9.99837
9.99838
9.99895
9.99896
9.99897
9.99941
9.99942
9.99942
9.99974
9.99974
9.99975
9.99994
9.99994
9.99994
9.99994
9.99994
9.99995
59
58
57
56
55
54
56
52
48
44
40
36
32
28
24
4
5
6
9.99839
9.99840
9.99841
9.99842
9.99843
9.99844
9.99898
9.99898
9.99899
9.99960
9.99901
9.99902
9.99943
9.99944
9.99944
9.99975
9.99976
9.99976
9.99977
9.99977
9.99977
28
32
36
7
8
9
9.99945
9.99946
9.99940
9.99995
9.99995
9.99995
53
52
51
40
10
9.99845
9.99903
9.99947
9.99978
9.99995
50
20
44
48
52
11
12
13
9.99846
9.99847
9.99848
9.99904
9.99904
9.99905
9.99948
9.99948
9.99949
9.99949
9.99950
9.99951
9.99978
9.99979
9.99979
9.99996
9.99996
9.9999G
9.99996
9.99996
9.99996
49
48
47
46
45
44
16
12
8
56
+1
4
14
15
16
9.99850
9.99851
9.99852
9.99906
9.99907
9.99908
9.99979
9.99980
9.99980
4
+3
56
8
12
16
1?
18
19
9.99853
9.99854
9.99855
9.99909
9.99909
9.99910
9.99951
9.99952
9.99952
9.99981
9.99981
9.99981
9.99997
9.99997
9.99997
43
43
41
52
48
44
20
30 9.99856
9.99911
9.99953
9.99982
9.99997
40
40
24
28
32
21
22
33
9.99857
9.99858
9.99859
9.99912
9.99913
9.99913
9.99954
9.99954
9.99955
9.99982
9.99982
9.99983
9.99997
9.99997
9.99997
9.99998
9.99998
9.99998
39
38
37
36
35
34
36
32
28
36
40
44
24
25
26
9.99860
9.99861
9.99862
1
1
9.99914
9.99915
9.99916
9.99955
9.99956
9.99956
9.99983
9.99983
9.99984
24
20 .
16
48
52
56
27
28
29
9.99863
9.99864
9.99865
1
1
1
9.99917
9.99917
9.99918
9.99957
9.99958
9.99958
9.99984
9.99984
9.99985
9.99998
9.99998
9.99998
33
32
31
12
8
4
+3
30
9.99866
1
9.99919
9.99959
9.99985
9.99998
30
+2
4
8
12
31
32
33
9.99867
9.99868
9.99869
9.99920
9.99920
9.99921
9.99959
9.99960
9.99960
9.99985
9.99986
9.99986
9.99998
9.99999
9.99999
29
28
27
56'
52
48
16
20
24
34
35
36
9.99870
9.99871
9.99872
1
1
9.99922
9.99923
9.99923
9.99961
9.99961
9.99962
9.99986
9.99987
9.99987
9.99999
9.99999
9.99999
26
25
24
44
40
36
32
28
24
28
32
36
37
38
39
9.99873
9.99874
9.99875
1
1
1
9.99924
9.99925
9.99926
9.99962
9.99963
9.99963
9.99987
9.99988
9.99988
9.99999
9.99999
9.99999
23
22
31
40
40
9.99876
1
9.99926
9.99964
9.99988
9.99999
30
20
i48
52
41
42
43
9.99877
9.99878
9.99879
9.99927
9.99928
9.99929
9.99964
9.99965
9.99966
9.99989
9.99989
9.99989
9.99999
9.99999
9.99999
19
18
17
16
12
8
56
+3
4
44
45
46
9.99879
9.99880
9.99881
9.99929
9.99930
9.99931
9.99966
9.99967
9.99967
9.99989
9.99990
9.99990
0.00000
0.00000
0.00000
16
15
14
4
+1
56
8
12
16
47
48
49
9.99882
9.99883
9.99884
9.99932
9.99932
9.99933
9.99967
9.99968
9.99968
9.99990
9.99990
9.99991
0.00000
0.00000
0.00000
13
13
11
52
48
44
20
50
9.99885
9.99934
9.99969
9.99991
0.00000
10
40
24
28
32
51
52
53
9.99886
9.99887
9.99888
9.99934
9.99935
9.99936
9.99969
9.99970
9.99970
9.99991
9.99992
9.99992
0.00000
0.00000
0.00000
9
8
7
36
32
28
36
40
44
54
55
56
9.99889
9.99890
9.99891
1
1
9.99936
9.99937
9.99938
9.99971
9.99971
9.99972
9.99992
9.99992
9.99992
0.00000
0.00000
0.00000
6
5
4
24
20
16
48
52
56
57
58
59
9.99891
9.99892
9.99893
1
1
1
9.99938
9.99939
9.99940
9.99972
9.99973
9.99973
9.99993
9.99993
9.99993
0.00000
0.00000
0.00000
3
2
1
12
8
4
+4
60
9.99894
9.99940
9.99974
9.99993
0.00000
Cos.
Cos.
Cos.
Cos.
Cos.
4° Qh 16in
3° oh 12'"^
2° Oh sm
1° Oh 4m
0° Qhom
Log. Cosines. 1
TABLE IV
NATURAL HAVERSINES
AND
LOGARITHMIC HAVERSINES
55901°— IS 4 49
Page 50] TABLE IV.
Havereines.
B '
0^ 0^ 0° c
OA 2m 0° W
Oh 4m 1° (K U||^6"» 1° sr
Oh8mZ°^
60
Log.nav. Natnav.
Log. nav.
Nat, Hav.
Log. Hav.
Nat. Hav.
^Hpfav.
Nat. Hav.
Log. Hav.
Nat Hav.
-00
0.00000
5.27963
0.00002
5.88168
0.00008
6.23385
0.00017
6.48371
0.00030
S
1.72333
.00000
.29399
.00003
.88889
.00008
.23866
.00017
.48732
.00031
58
4+ 1
2.32539
.00000
.30811
.00003
.89604
.00008
.24345
.00018
.49092
.00031
56
6
2.67757
.00000
.32201
.00003
.90313
.00008
.24821
.00018
.49450
.00031
54
8+ 2
2.92745
0.00000
5.335G9
0.00003
5.91016
0.00008
6.25294
0.00018
6.49807
0.00031
52
10
3.12127
.00000
.34916
.00003
.91714
.00008
.25765
.00018
.50162
.00032
50
12-\- 3
3.279G3
.00000
.36242
.00003
.92406
.00008
.26233
.00018
.50516
.00033
48
U
3.41353
.00000
.37548
.00003
.93093
.00009
.26699
.00018
.50868
.00033
46
16+ 4
3.52951
0.00000
5.38835
0.00003
5.93774
0.00009
6.27162
0.00019
6.51219
0.00033
44
18
3.63182
.00000
.40103
.00003
.94450
.00009
.27623
.00019
.515G8
.00033
42
20+ 5
3.72333
.00000
.41352
.00003
.95121
.00009
.28081
.00019
.51916
.00033
40
22
3.80612
.00000
.42585
.00003
.95786
.00009
0.00009
.28537
.00019
.52263
.00033
38
24+ 6
3.88169
0.00000
5.43799
0.00003
5.96447
6.28991
0.00019
6.52608
0.00034
36
26
3.95122
.00000
.44997
.00003
.97102
.00009
29442
.00030
.52952
.00034
34
28+ 7
4.01559
.00000
.46179
.00003
.97753
.00010
.29891
.00030
.53295
.00034
32
SO
4.07551
.00000
.47345
.00003
.98399
.00010
.30337
.00030
.53636
.00034
SO
S2+ 8
4.13157
0.00000
5.48496
0.00003
5.99040
0.00010
6.30781
0.00030
6.53976
0.00035
28
S4
.18423
.00000
.49631
.00003
5.99676
.00010
.31223
.00031
.54315
.00035
26
36+ 9
.23388
.00000
.50752
.00003
6.00308
.00010
.31663
.00031
.54652
.00035
24
S8
.28084
.00000
.51858
.00003
.00935
.00010
.32101
.00031
.54988
.00035
22
40+10
4.32539
0.00000
5.52951
0.00003
6.01557
0.00010
6.32536
0.00031
6.55323
0.00036
20
42
.36777
.00000
.54030
.00003
.02176
.00011
.32969
.00021
.55656
.00036
18
44+11
.40818
.00000
.55095
.00004
.02789
.00011
.33400
.00032
.55988
.00036
16
46
.44679
.00000
.56148
.00004
.03399
.00011
.33829
.00022
.56319
.00037
14
48+12
4.48375
0.00000
5.57189
0.00004
6.04004
0.00011
6.34256
0.00022
6.56649
0.00037
12
SO
.51921
.00000
.58216
.00004
.04605
.00011
.34081
.00022
.56977
.00037
10
52+lZ
.55328
.00000
.59232
.00004
.05202
.00011
.35103
.00033
.57304
.00037
8
54
.58606
.00000
.60236
.00004
.05795
.00011
.35524
.00033
.57630
.00038
6
56+U
4.61765
0.00000
5.61229
0.00004
6.06384
0.00013
6.35943
0.00033
6.57955
0.00038
4
58
4.64813
0.00000
5.62211
0.00004
6.06969
0.00013
6.36359
0.00033
6.58278
0.00038
2
23Ji 59m
23h 57m
23h 55m
2Sh 53^
2Sh 5m
B '
0+15
Oh im 0° O'
Oh sm 0° 30^
Oh sm 1° (K
Oh 7m 1° 30^
Oh Qm 3° 0^
s
60
4.67757
0.00000
5.63181
0.00004
6.07550
0.00013
6.36774 •0.00033
6.58600
0.00039
S
.70605
.00000
.64141
.00004
.08127'
.00013
.37186
.00034
.58921
.00039
58
4+16
.73363
.00001
.65090
.00004
.08700
.00013
.37597
.00034
.59241
.00039
56
6
.76036
.00001
.66029
.00005
.09270
.00013
.38006
.00034
.59560
.09039
54
8+n
4.78629
0.00001
5.66958
0.00005
6.09836
0.00013
6.38412
0.00034
6.59878
0.00040
h2
10
.81147
.00001
.M877
.W787
.0000^
.10398
.00013
.38817
.^034
.60194
.00040
50
12+lS
.83594
.00001
.OOOOfli.10956
.00013
.39220
.00035
.60509
.00040
48
14
.85973
.00001
.69687
.00005
.11511
.00013
.39622
.00025
.60823
.00041
46
16+19
4.88290
0.00001
5.70578
0.00005
6.12063
0.00013
6.40021
0.00025
6.61136 0.00041
4^
18
.90546
.00001
.71460
.00005
.12611
.00013
.40418
.00035
.61448
.00941
42
20+20
.92745
.00001
.72332
.00005
.13155
.00014
.40814
.00026
.61759
.00041
40
22
.94890
.00001
.73197
.00005
.13696
.00014 .41208
.00026
.62068
.09043
38
24+21
4.96983
0.00001
5.74052
0.00006
6.14234
0.00014
6.41600
0.00026
6.62377 0.00042
36
26
4.99027
.00001
.74900
.00006
.14769
.00014
.41990
.00026
.62684 .00042
34
28+22
5.01024
.00001
.75739
.00006
.15300
.00014
.42379
.00037
.62991 .00043
32
SO
.02976
.00001
.76570
.00006
.15828
.00014
.42766
.00037
.63296 .00043
30
S2+23
5.04885
0.00001
5.77394
0.00006
6.16353
0.00015
6.43151
0.00027
6.63600
0.00043
28
S4
.06753
.00001
.78209
.00006
.16874
.00015
.43534
.00037
.63903
.00044
26
56+24
.08581
.00001
.79017
.00006
.17393
.00015
.43916
.00037
.64205
.00044
24
S8^
.M"2
.00001
.79818
.00006
.17908
.00015
.44296
.00028
.64504
.00044
22
40+^ l^m
0.00001
5.8(1011
.8f397
0.00006
6.18421
0.00015
6.44675
0.00028
6.64806
0.00044
20
42 ^ JHP
.00001
.00007
.18930
.00015
.45052
.00028
.65105
.00045
18
44+2^JI^3mi
.00001
.82176
.00007
.19437
.00016
.45427
.00028
.65403
.00045
16
46
.17188
.00001
.82948
.00007
.19940
.00016
.45800
.00029
.65700
.00045
14
48+211
5.18812
0.00003
5.83713
0.00007
6.20441
0.00016
6.4G172
0.00029
6.65996
0.00046
12
60
.20406
.00003
.84472
.00007
.20938
.00016
.46543
.00029
.66291
.00046
10
52+2S
.21971
.00003
^224
.00007
.21433
.00016
.46911
.00029
.66585
.00046
8
54
.23508
.00003
^^69
.00007
.21925
.00017
.47279
.00030
.66878
.00047
e
56+29
5.25019
0.00003MR709
0.00007
6.22415
0.00017
6.47644
0.00030
6.67170
0.00047
4
58
.26503
.OO0O^K7442
.00008
.22901
.00017
.48008
.00030
.67461
.00047
2
60+30
5.27^63
0.000i!Wr.88168
0.00008
6.23385
0.00017
6.48371
0.00030
6.67751
0.00048
2Sh 5Sm j 23h 56^
2Sh 54m
Oj]h S9m
2Sh 50m ]
TABLE IV.
[Page 51 1
Haversines.
s '
Oh iom 2° 30^
o'^j^JH^r
Qh 14m 3° 30^ 1
Qh 16m 4° 0^
Oh 18m 4° 30'
s
Log. Hav. Nat. Hav.
Log. na^ BK. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Ilav.
Log. Hav.
Nat. Hav.
6.67751
0.00048
6.83584
0.00069
6.96970
0.00093
7.08564
0.00133
7.18790
0.00154
60
2
.68040
.00048
.83825
.00069
.97176
.00094
.08745
.00133
.18950
.00155
58
4+ 1
.68328
.00048
.84065
.00069
.97382
.00094
.08925
.00133
.19111
.00155
56
6
.68615
.00049
.84304
.00070
.97588
.00095
.09105
.00133
.19271
.00156
54
S+ 2
6.68901
0.00049
6.84543
0.00070
6.97793
0.00095
7.09284
0.00134
7.19430
0.00156
52
10
.69186
.00049
.84782
.00070
.97997
.00095
.09464
.00134
.19590
.00157
50
12+ 3
.69470
.00050
.85019
.00071
.98201
.00096
.09642
.00125
.19749
.00158
48
14
.69754
.00050
.85256
.00071
.98405
.00096
.09821
.00125
.19908
.00158
46
16-\- 4
6.70036
0.00050
6.85492
0.00073
6.98608
0.00097
7.09999
0.00126
7.20066
0.00159
44
18
.70318
.00050
.85728
.00073
.98811
.00097
.10177
.00126
.20225
.00159
42
20+ 5
.70598
.00051
.859G3
.00073
.99013
.00098
.10354
.00127
.20383
.00160
40
22
.70878
.00051
.86197
.00073
.99214
.00098
.10531
.00127
.20540
.00160
38
24+ 6
6.71157
0.00051
6.86431
0.00073
6.99416
0.00099
7.10708
0.00138
7.20698
0.00161
36
26
.71435
.00053
.86664
.00074
6.99616
.00099
.10884
.00138
.20855
.00162
34
2S+ 7
.71712
.00053
.86897
.00074
6.99817
.00100
.11060
.00139
.21012
.00162
32
SO
.71988
.00053
.87129
.00074
7.00017
.00100
.11236
.00130 .21168
.00163
30
32+8
6.72263
0.00053
6.87360
0.00075
7.00216
0.00101
7.11411
0.00130
7.21325
0.00163
28
34
.72537
.00053
.87591
.00075
.00415
.00101
.11586
.00131
.21481
.00164
26
36+ 9
.72811
.00053
.87821
.00076
.00613
.00101
.11760
.00131
.21636
.00165
24
38
.73084
.00054
.88050
.00076
.00811
.00103
.11934
.00133
.21792
.00165
0.00166
22
20
^0+10
6.73355
0.00054
6.88279
0.00076
7.01009
0.00103
7.12108
0.00133
7.21947
42
.73626
.00054
.88507
.00077
.01206
.00103
.12282
.00133
.22102
.00166
18
u+u
.73896
.00055
.88735
.00077
.01403
.00103
.12455
.00133
.22256
.00167
16
46
.74166
.00055
.88962
.00078
.01599
.00104
.12627
.00134
.22411
.00168
14
48+n
6.74434
0.00056
6.89188
0.00078
7.01795
0.00104
7.12800
0.00134
7.22565
0.00168
12
50
.74702
.00056
.89414
.00078
.01990
.00105
.12972
.00135
.22718
.00169
10
52+13
.74969
.00056
.89639
.00079
.02185
.00105
.13144
.00135
.22872
.00169
8
54
.75235
.00057
.89864
.00079
0.00080
.02379
.00106
.13315
.00136
.23025
.00170
6
56+14
6.75500
0.00057
6.90088
7.02573
0.00106
7.13486
0.00136
7.23178
0.00171
4
58
6.75764
0.00057
6.90312
0.00080
7.02767
0.00107
7.13657 0.00137
7.23331
0.00171
2
231 49m
23h 47m
23^ 45m
23h4^m
23 h 41m
0+15
Oh lim 2° 30^
Oh ISm 3° 0^
Oh 15^ 3° 30'
Oh 17m 4° 0'
Oh 19m 4° 30^
s
60
6.76028
0.00058
6.^535
0.00080
7.02960
0.00107
7.13827
0.00137
7.23483
0.00173
2
.76290
.00058
.90757
.00081
.03153
.00108
.13997
.00138
.23635
.00173
58
4+16
.76552
.00058
.90979
.00081
.03345
.00108
.14167
.00139
.23787
.00173
56
6
.76814
.00059
.91200
.00083
.03537
00108
.14337
.00139
.23939
.00174
54
^+17
6.77074
0.00059
6.91421
0.00083
7.03729
0.00109
7.14506
0.00140
7.24090
0.00174
52
10
.77334
.00059
' .91641
.00083
.03920
.00109
.14674
, .00140
.24241
.00175
50
12+^
.77592
.00060
.91860
.00083
.04110
.00110
.14843
.00141
.24392
.00175
48
14
.77851
.00060
.92079
.00083
.04300
.00110
.15011
.00141
.24543
.00176
46
i6+19
6.78108
0.00060
6.92298
0.00084
7.04490
0.00111
7.15179
0.00143
7.24693
0.00177
44
18
.78364
.00061
.92516
.00084
.04680
.00111
.15346
.00143
.24843
.00177
42
20+^
.78620
.00061
.92733
.00085
.04869
.00113
.15513
.00143
.24993
.00178
40
22
.78875
.00061
.92950
6.93166
.00085
.05057
.00112
0.00113
.15680
.00143
.25143
.00178
38
24+^1
6.79129
0.00063
0.00085
7.05245
7.15846
0.00144
7.25292
0.00179
36
26
.79383
.00063
.93382
.00086
.05433
.00113
.16013
.00145
.25441
.00180
34
28+1S2
.79630
.00063
.93597
.00086
.05620
.00114
.16178
.00145
.25590
.00180
32
30
.79888
.00063
.93812
.00087
.05807
.00114
.16344
.00146
.25738
.00181
SO
32+^
6.80139
0.00063
6.94026
0.00087
7.05994
0.00115
7.16509
0.00146
7.25886
0.00181
28
34
.80390
.00064
.94239
.00088
.06180
.00115
.16674
.00147
.26034
.00183
26
36+U
.80640
.00064
.94453
.00088
.06366
.00116
.16839
.00147
.26182
.00183
24
38
.80889
.00064
.94665
.OOOSS
.06551
.00116
0.00117
.17003
7.17167
.00148
.26330
.0018^
0.00184
22
20
40+25
6.81137
0.00065
6.94877
0.00089
7.06736
0.00148
7.264^
.2663?
42
.81385
.00065
.95089
.00089
.06920
.00117
.17331
.00149
.00185
18
44+^
.81632
.00086
.95300
.00090
.07105
.00118
.17494
.00150
.26771
.00185
16
46
.81879
.C00G6
.95510
.00090
.07288
.00118
.17657
.00150
.26917
.00186
U
48+Z^
6.82124
0.00066
6.95720
0.00091
7.07472
0.00119
7.17820
0.00151
7.27064
0.00186
12
50
.82369
.00067
.95930
.00091
.07655
.00119
.17982
.00151
.27210
.00187
10
5:^+28
.82614
.00067
.96139
.00091
.07837
.00120
.18144
.00153
.27355
.00188
8
54
.82857
.00067
.96347
.00093
.08019
.00130
.18306
.00153
.27501
.00188
6
56+39
6.83100
0.00068
6.96555
0.00093
7.08201
0.00121
7.18468
0.00153
7.27646
0.00189
4
58
.83342
.00068
.66763
.00093
.08383
.00121
.18629
.00154
.27791
.00190
2
6(7+30
6.83584
0.00069
6.96970
0.00093
7.08564
0.00133
7.18790
0.00154
7.27936
0.00190
23 h 48 m.
23h 46"*
23h 44^
23h42r<^
23 h 40'"
Page 52]
TABLE IV.
Haversines.
s '
0Af0"»5°0'
Oh tzr^ 5° 30''
Oft 24^" 6° 0'
...0Jkj?6™ 6° 30^
Oh 28^ 7° O'
s
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Lb^.Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
7.27936
0.00190
7.36209
0.00230
7.43760
0.00274
7.50706
0.00321
7.57135
0.00373
60
o
.28080
.00191
.36340
.00231
.43880
.00275
.50817
.00323
.57238
.00374
58
4+ 1
.28225
.00193
.36471
.00233
.44001
.00275
.50928
.00333
.57341
.00374
56
6
.28369
.00193
.36602
7.36733
.00333
0.00333
.44121
7.44241
.00276
0.00277
.51039
.00324
.57444
.00375
54
52
8+ 3
7.28513
0.00193
7.51149
0.00325
7.57547
0.00376
10
.28656
.00193
.36864
.00334
.44361
.90278
.51260
.00326
.57650
.00377
50
12+ 3
.28800
.00194
.36994
.00334
.44480
.00278
.51370
.00326
.57752
.00378
48
14
.28943
.00195
.37124
.00235
.44600
.00279
.51481
.00327
.57855
.00379
46
16+ 4
7.29086
0.00195
7.37254
0.00236
7.44719
0.00280
7.51591
0.00328
7.57957
0.00380
u
18
.29228
.00196
.37384
.00237
.44838
.00281
.51701
.00329
.58060
.00381
42
20+ 5
.29371
.00197
.37514
.00337
.44957
.00283
.51811
.00330
.58162
.00382
40
22
.29513
.00197
.37643
.00338
.45076
.00283
.51921
.00331
.58264
.00383
38
24+ 6
7.29655
0.00198
7.37773
0.00339
7.45194
0.00383
7.52030
0.00331
7.58366
0.00383
36
26
.29797
.00199
.37902
.00339
.45313
.00384
.52140
.00332
.58467
.00384
34
28+ 7
.29938
.00199
.38030
.00340
.45431
.00385
.52249
.00333
.58569
.00385
32
SO
.30079
.00200
.38159
.00341
.45549
.00385
.52358
.00334
.58670
.00386
30
S2+ 8
7.30220
0.00201
7.38288
0.00341
7.45667
0.00386
7.52467
0.00335
7.58772
0.00387
28
S4
.30361
.00301
.38416
.00343
.45785
.00387
.52576
.00336
.58873
.00388
26
se+ 9
.30502
.00302
.38544
.00343
.45903
.00288
.52685
.00336
.58974
.00389
24
S8
.30642
.00203
.38672
.00344
.46020
.00289
.52794
.00337
.59075
.00390
22
40+10
7.30782
0.00203
7.38800
0.00244
7.46138
0.00289
7.52902
0.00338
7.59176
0.00391
20
42
.30922
.00304
.38927
.00345
.46255
.00290
.53011
.00339
.59277
.00393
18
44+\\
.31062
.00304
.39054
.00246
.46372
.00291
.53119
.00340
.59378
.00392
16
46
.31201
.00205
.39182
.00347
.46489
.00393
.53227
.00341
.59478
.00393
14
48+i2
7.31340
0.00306
7.39309
0.00347
7.46605
0.00393
7.53335
0.00341
7.59579
0.00394
12
50
.31479
.00266
.39435
.00348
.46722
.00393
.53443
.00343
.59679
.00395
10
52+lZ
.31618
.00207
.39562
.00349
.46838
.00394
.53550
.00343
.59779
.00396
8
54
.31757
.00308
.39688
.00349
.46955
.00395
.53658
.00344
.59879
.00397
6
56+14
7.31895
0.00208
7.39815
0.00350
7.47071
0.00396
7.53706
0.00345
7.59979
0.00398
4
58
7.32033
6.00309
7.39941
0.00251
7.47187
0.00396
7.53873
0.00346
7.60079
0.00399
2
23T^ 39^
23^ ^7™
23 h 35^
23»' 33>n
f-SftJim
8 '
0+15
0^21r'*5°0'
OA 23-^ 5° 30^
Oft 25"^ 6° 0^
Oft 27^ 6° W
Oft 29^ 7° 0'
3
60
7.32171
6.00310
7.40067
0.00353
7.47302
0.00397
7.53980
0.00347
7.60179
0.00400
f
.32309
.00310
.40192
.00352
.47418
.00398
.54087
.00347
.60279
.00401
58
4+16
.32446
.00311
.40318
.00253
.47533
.00399
.54194
.00348
.60378
.09403
56
6
,32583
.00213
.40443
.00254
.47649
.00300
.54301
.00349
.60478
.00403
54
5+17
7.32720
0.00313
7.40568
0.00255
7.47764
0.00300
7.54407
0.00350
7.60577
0.00403
52
10
.32857
.00313
.40693
.00255
.47879
.00301
.54514
.00351
.60676
.00404
50
12+1'i
.32994
.00314
.40818
.00256
.47994
.00303
.54620
.00352
.60775
.00405
48
14
.33130
.00314
.40943
.00357
.48109
.00303
.54727
.00353
.60874
.00406
46
16+19
7.33266
0.00315
7.41067
0.00357
7.48223
0.00304
7.54833
0.00353
7.60973
0.00407
44
18
.33402
.00316
.41191
.00358
.48337
.00304
.54939
.00354
.61072
.00408
42
20+2(i
.33538
.00316
.41315
.00359
.48452
.00305
.55045
.00355
.61170
.00409
40
22
.33673
.00217
.41439
.00360
.48566
.00306
.55150
.00356
.61269
7.61367
.00410
38
24+n
7.33809
0.00218
7.41563
0.00360
7.48680
0.00307
7.55256
0.00357
0.00411
36
26
.33944
.00218
.41686
.00361
.48794
.00308
.55361
.00358
.61466
.00413
34
28+n
.34079
.00219
.41810
.00363
.48907
.00308
.55467
.00359
.61564
.00413
32
SO
.34213
.00230
.41933
.00363
.49021
.00309
.55572
.00360
.61662
.00414
30
32+ZS
7.34348
0.00331
7.42056
0.00363
7.49134
0.00310
7.55677
0.00360
7.61760
0.00415
28
S4
.34482
.00331
.42179
.00364
.49247
.00311
.55782
.00361
.61858
.00416
26
S6+24:
.34616
.00333
.42301
.00265
.49360
.00313
.55887
.00362
.61955
.00416
24
S8
.34750
.00323
.42424
.00266
.49473
.00312
.55992
.00363
.62053
.00417
22
40+35
7.34884
0.00233
7.42546
0.00266
7.49586
0.00313
7.56096
0.00364
7.62151
0.00418
20
42
.35017
.00334
.42668
.00267
.49699
.00314
.56201
.00365
.62248
.00419
18
44+26
.35150
.00335
.42790
.00368
.49811
.00315
.56305
.00366
.62345
.00430
16
46
.35283
.00335
.42912
.00389
.49923
.00316
.56409
.00367
.62442
.00431
14
48+21t
7.35416
0.00336
7.43034
0.00369
7.50036
0.00316
7.56513
0.00367
7.62540
0.00433
12
50
.35549
.00337
.43155
.00370
.50148
.00317
.56617
.00368
.62666
.00433
10
52+28
.35681
.00337
.43277
.00371
.50259
.00318
.56721
.00369
.62733
.00434
8
54
.35813
.00338
.43398
7.43519
.00373
.50371
.00319
.56825
.00370
.62830
.00435
6
4
56+29
7.35945
0.00339
0.00373
7.50483
0.00330
7.56928
0.00371
7.62927
0.00426
58
.36077
.00339
.43639
.00273
.50594
.00331
.57032
.00372
.63023
.00427
2
60+30
7.36209
0.00330
7.43760
0.00274
7.50706
0.00321
7.57135
0.00373
7.63120
0.00428
23 h 38^
23^ 36"^
23h 34"^
23'' 32"i
g5ft .SO" 1
TABLE IV. [Page 53
Haversines.
s '
Qh 30^'^ 7° 30^
Oh, S2m 8° 0'
Oh 34^ 8° 30'
Oft 56'" 9° O' 1 Oft 55'" 9° SO' |
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
7.63120
0.0043S
7.68717
0.00487
7.73974
0.00549
7.78929
0.00616
7.83615
0.00686
60
f
.63216
.00429
.68807
.00488
.74059
.00550
.79009
.00617
.83691
.00687
68
4+ 1
.63312
.00430
.68897
.00489
.74143
.00551
.79089
.00618
.83767
.00688 66
6
.63408
.00431
.68987
.00490
.74228
.00552
.79169
.00619
.83842
.00689 64
8+ %
7.63504
0.00432
7.69077
0.00491
7.74313
0.00554
7.79249
0.00620
7.83918
0.00691 62
10
.63600
.00433
.69167
.00492
.74398
.00555
.79329
.00621
.83994
.00692
60
12+ 3
.63696
.00433
.69257
.00493
.74482
.00556
.79409
.00622
.84070
.00693
48
U
.63792
.00434
.G9347
.00494
.74567
.00557
.79489
.00624
.84145
.00694
46
16+ 4
7.63887
0.00435
7.69437
0.00495
7.74651
0.00558
7.79568
0.00625
7.84221
0.00695
U
18
.63983
.00436
.69526
.00496
74735
.00559
.79648
.00626
.84296
.00697
42
20+ 5
.64078
.00437
.69616
.00497
.74819
.00560
.79728
.00627
.84372
.00698
40
22
.64173
.00438
.69705
o00498
.74904
.00561
.79807
.00628
.84447
.00699
38
24+ 6
7.64269
0.00439
7.69794
0.00499
7.74988
0.00562
7.79886
0.00629
7.84522
0.00700
36
26
.64364
.00440
.69883
.00500
.75072
.00563
.79966
.00630
.84597
.00701
34
28+ 7
.64458
.00441
.69972
.00501
.75155
.00564
.80045
.00632
.84672
.00703
32
SO
.64553
.00442
.70061
.00502
.75239
.00565
.80124
.00633
.84747
.00704
30
32+ 8
7.64648
0.00443
7.70150
0.00503
7.75323
0.00567
7.80203
0.00634
7.84822
0.00705
28
54
.64743
.00444
.70239
.00504
.75407
.00568
.80282
.00635
.84897
.00706
26
56+ 9
.64837
.00445
.70328
.00505
.75490
.00569
.80361
.00636
.84972
.00707
24
38
.64932
.00446
.70416
.00506
.75574
.00570
.80440
.00637
.85047
.00709
22
40+10
7.65026
0.00447
7.70505
0.00507
7.75657
0.00571
7.80519
0.00639
7.85122
0.00710
20
42
.65120
.0044S
.70593
.00508
.75740
.00572
.80598
.00640
.85196
.00711
18
44+n
.65214
.00449
.70682
.00509
.75824
.00573
.80677
.00641
.85271
.00712
16
46
.65308
.00450
.70770
.00510
.75907
.00574
.80755
.00642
.85346
.00714
14
48+n
7.65402
0.00451
7.70858
0.00511
7.75990
0.00575
7.80834
0.00643
7.85420
0.00715
12
60
.65496
.00452
.70946
.00512
.76073
.00576
.80912
.00644
.85494
.00716
10
5^+13
.65590
.00453
.71034
.00513
.78156
.00578
.80991
.00646
.85569
.00717
8
64
.65683
.00454
.71122
.00514
.76239
.00579
.81069
.00647
.85643
.00719
6
66+14:
7.65777
0.00455
7.71210
0.00515
7.76321
0.00580
7.81147
0.00648
7.85717
0.00720
4
58
7.65870
0.00456
7.71298
0.00516
7.76404
0.00581
7.81225
0.00649
7.85791
0.00721
2
23k 29-'»
23h 27 m
55 A 25m
2Sh 2Sm
23h 21m
8 '
0+15
0h31r»7°Z0'
Oh 33m 8° O'
Oh S5m 8° 30'
Oh 37 m 9° 0'
Oh 39m 9° 30'
s
60
7.65964
0.00457
7.71385
0.00517
7.76487
0.00582
7.81303
0.00650
7.85866
0.00722
2
.66057
.00458
.71473
.00518
.76569
.00583
.81382
.00651
.85940
.00723
68
■^+16
.66150
.00459
.71560
.00520
.76652
.00584
.81459
.00653
.86014
.00725
66
6
.66243
.00460
.71648
.00521
.76734
.00585
.81537
.00654
.86087
.00726
54
62
8+17
7.66336
0.00461
7.71735
0.00522
7.76816
0.00586
7.81615
0.00655
7.86161
0.00727
10
.66429
.00462
.71822
.00523
.76898
.00587
.81693
.00656
.86235
.00728
60
12+18
.66521
.00463
.71909
.00524
.76981
.00589
.81771
.00657
.86309
.00730
48
14
.66614
.00464
.71996
.00525
.77063
.00590
.81848
.00658
.86382
.00731
46
16+19
7.66706
0.00465
7.72083
0.00526
7.77145
0.00591
7.81926
0.00660
7.86456
0.00732
44
18
.66799
.00466
.72170
.00527
.77227
.00592
.82003
.00661
.86530
.00733
42
20+20
.66891
.00467
.72257
.00528
.77308
.00593
.82081
.00662
.86603
.00735
40
22
.66983
.00468
.72343
.00529
.77390
.00594
0.00595
.82158
7.82235
.00663
.86676
.00736
0.00737
38
36
24+21
7.67075
0.00469
7.72430
0.00530
7.77472
0.00664
7.86750
26
.67167
.00470
.72516
.00531
.77553
.00596
.82313
.00665
.86823
.00738
34
28+HZ
.67259
.00471
.72603
.00532
.77635
.00598
.82390
.00667
.86896
.00740
32
30
.67351
.00472
.72689
.00533
.77716
.00599
.82467
.00668
.86969
.00741
30
32+2S
7.67443
0.00473
7.72775
0.00534
7.77798
0.00600
7.82544
0.00669
7.87042
0.00742
28
34
.67535
.00474
.72801
.00535
.77879
.00601
.82621
.00670
.87115
.00743
26
56+24
.67626
.00475
.72948
.00536
.77960
.00602
.82698
.00671
.87188
.00745
24
38
.67718
.00476
.73034
.00537
.78041
.06603
.82774
.00673
.87261
.00746
22
40+25
7.67809
0.00477
7.73119
0.00539
7.78122
0.00604
7.82S51
0.00674
7.87334
0.00747
20
42
.67900
.00478
.73205
.00540
.78203
.00605
.82928
.00675
.87407
.00748
18
44+26
.67991
.00479
.73291
.00541
.78284
.00607
.83004
.00676
.87480
.00750
16
46
.68082
.00480
.73377
.00542
.78365
.00608
.83081
.00677
.87552
.00751
14
48+27
7.68173
0.00481
7.73462
0.00543
7.78446
0.00609
7.83157
0.00679
7.87625
0.00752
12
50
.68264
.00482
.73548
.00544
.78526
.00610
.83234
.00680
.87697
.00753
10
52 +2S
.68355
.00483
.73633
.00545
.78607
.00611
.83310
.00681
.87770
.00755
8
54
.68445
.00484
.73718
.00546
.78688
.00612
.83386
.00682
.87842
.00756
6
66+29
7.68536
0.00485
7.73803
0.00547
7.78768
0.00613
7.83463
0.00683
7.87915
0.00757
4
58
.68627
.00486
.73889
.00548
.78848
.00614
.83539
.00685
.87987
.00758
i
60+30
7.68717
0.00487
7.73974
0.00549
7.78929
0.00616
7.83615
0.00686
7.88059
0.00760
2Sh 28-^
23h 26m
2Sh 24m
2Sh 22m
23h 20m
Page 54] TABLE IV.
Haversinea.
s '
o
"4+ 1
6
Oh 40^ 10° 0'
Oh 42m 10° 30'
Oh 44m 11° 0'
Oh 46m 11° 30'
Oh 48m 13° O'
s
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
7.8S059
.88131
.88203
.88276
0.00760
.00761
.00763
.00763
7.92286
.92354
.92423
.92492
0.00837
.00839
.00840
.00841
7.96315
.96380
.96446
.96511
0.00919
.00930
.00931
.00933
8.00103
.00226
.00289
.00351
0.01004
.01005
.01007
.01008
8.03847
.03907
.03967
.04027
0.01093
.01094
.01096
.01097
60
58
56
54
8+ 2
10
12+ 3
14
16+ 4
IS
20+ 5
22
7.88348
.88419
.88491
.88563
7.88635
.88707
88778
.88850
0.00765
.00766
.00767
.00768
0.00770
.00771
.00773
.00774
7.92560
.92629
.92697
.92766
7.92834
.92902
.92970
.93039
0.00843
.00844
.00845
.00847
0.00848
.00849
.00851
.00853
7.96577
.96642
.96707
.96773
7.96838
.96903
.96968
.97033
0.00934
.00936
.00937
.00928
0.00930
.00931
.00933
.00934
8.00414
.00476
.00539
.00601
8.00664
.00726
.00788
.00851
0.01010
.01011
.01013
.01014
0.01015
.01017
.01018
.01030
8.04087
.04147
.04207
.04267
8.04326
.04386
.04446
.04506
0.01099
.01100
.01102
.01103
0.01105
.01106
.01108
.01109
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
24+
26
28+ 7
30
32+ 8
34
36+ 9
38
7.88921
.88993
.89064
.89135
7.89207
.89278
.89349
.89420
0.00775
.00776
.00777
.00779
0.00780
.00781
.00783
.00784
7.93107
.93175
.93243
.93311
7.93379
.93447
.93514
.93582
0.00853
.00855
.00856
.00857
0.00859
.00860
,00861
.00863
7.97098
.97163
.97228
.97293
7.97358
.97423
.97478
.97552
0.00935
.00937
.00938
.00940
0.00941
.00943
.00944
.00945
8.00913
.00975
.01037
.01099
8.01161
.01223
.01285
.01347
0.01031
.01033
.01024
.01026
0.01027
.01029
.01030
.01032
8.04565
.04625
.04684
.04744
8.04803
.04863
.04922
.04981
0.01111
.01112
.0U14
.01115
0.01117
.01118
.0U20
.01122
40+10
42
44+11
46
48+12
50
52+13
B4
7.89491
.89562
.89633
.89704
7.89775
.89846
.89916
.89987
0.00785
.00786
.00788
.00789
0.00790
.00793
.00793
.00794
7.93650
.93717
.93785
.93852
7.93920
.93987
.94055
.94122
0.00864
.00865
.00867
.00868
0.00869
.00871
.00873
.00873
7.97617
.97681
.97746
.97810
7.97875
.97939
.98003
.98068
0.00947
.00948
.00949
.00951
0.00953
.00954
.00955
.00956
8.01409
.01471
.01532
.01594
8.01656
.01717
.01779
.01840
0.01033
.01034
.01036
.01037
0.01039
.01040
.01042
.01043
8.05041
.05100
.05159
.05218
8.05277
.05336
.05395
.05454
0.01133
.01125
.01126
.01128
0.01129
.01131
.01132
.01134
20
IS
16
14
12
10
8
6
56+14
58
7.90057
7.90128
0.00795
0.00797
7.94189
7.94257
0.00875
0.00876
7.98132
7.98196
0.00958
0.00959
8.01902
8.01963
0.01045
0.01046
8.05513
8.05572
0.0U35
0.0U37
4
2
23!^ 19^
23h 17m
23h 15m
2Sh 13m
2Sh 11m
0+15
i
-♦+16
6
Oh 41m 10° r
Oh4Sm 10° 30'
Oh 45m 11° O'
Oh 47m 11° 30^
Oh 49m 12° O'
s
7.90198
.90269
.90339
.90409
0.00798
.00799
.00801
.00802
7.94324
.94391
.94458
.94525
0.00877.
.00879
.00880
.00882
7.98260
.98325
.98389
.98453
0.00961
.00963
.00964
.00965
8.02025
.02086
.02148
.02209
0.01048
.01049
.01051
.01052
8.05631
.05690
.05749
.05808
0.01138
.01140
.01142
.01143
60
58
56
54
8+11
10
12+18
14
16+10
18
20+20
22
7.90480
.90550
.90620
.90690
7.90760
.90830
.90900
.90970
0.00803
.00804
.00806
.00807
0.0080S
.00810
.00811
.00813
7.94592
.94659
.94726
.94792
7.94859
.94926
.94992
.95059
0.00883
.00884
.00886
.00887
0.00888
.00890
.00891
.00892
7.98517
.98581
.98644
.98708
7.98772
.98836
.98899
.98963
0.00966
.00968
.00969
.00971
0.06973
.00974
.00975
.00976
8.02270
.02331
.02392
.02453
8.02515
.02576
.02637
.02697
0.01054
.01055
.01057
.01058
0.01060
.01061
.01063
.01064
8.05866
.05925
.05984
.06042
8.06101
.06159
.06218
.06276
0.01145
.01146
.01148
.01149
0.01151
.01152
.01154
.01155
52
50
48
46
U
42
40
38
24+21
26
28+22
SO
S2+23
34
56+24
38
7.91039
.91109
.91179
.91248
7.91318
.91387
.91457
.91526
0.00814
.00815
.00816
.00817
0.00819
.00820
.00821
.00833
7.95126
.95192
.95259
.95325
7.95391
.95458
.95524
.95590
0.00894
.00895
.00897
.00898
0.00899
.00901
.00902
.00903
7.99027
99090
.99154
.99217
7.99281
.99344
.99407
.99470
0.00978
.00979
.00981
.00983
0.00984
.00985
.00986
.00988
8.02758
.02819
.02880
.02941
8.03001
.03062
.03123
.03183
0.01066
.01067
.01089
.01070
0.01072
.01073
.01075
.01076
8.06335
.06393
.06451
.06510
8.06568
.06626
.06684
.06742
0.01157
.01159
.01160
.01162
0.01163
.01165
.01166
.01168
36
34
32
SO
28
26
24
22
40+25
42
44+20
46
48+21
50
52+28
54
7.91596
.91665
.91734
.91803
7.91872
.91941
.92010
.92079
0.00834
.00835
.00837
.00838
0.00839
.00831
.00833
.00833
7.95656
.95722
.95788
.95854
7.95920
.95986
.96052
.96118
0.00905
.00906
.00908
.00909
0.00910
.00912
.00913
.00914
7.99534
.99597
.99660
.99723
7.99786
.99849
.99912
7.99975
0.00989
.00991
.00993
.00994
0.00995
.00997
.00998
.00999
8.03244
.03304
.03365
.03425
8.03486
.03546
.03606
.03666
0.01078
.01079
.01081
.01082
0.01084
.01085
.01087
.01088
8.06800
.06859
.06917
.06975
8.07032
.07090
.07148
.07206
0.01170
.01171
.01173
.01174
0.01176
.01177
.01179
.01180
20
18
16
14
12
10
8
6
56+39
58
60+30
7.92148
.92217
7.92286
0.00835
.00836
0.00837
7.96183
.96249
7.96315
0.00916
.00917
0.00919
8.00038
.00100
8.00163
0.01001
.01003
0.01004
8.03727
.03787
8.03847
0.01090
.01091
0.01093
8.07264
.07322
8.07379
0.01183
.01184
0.01185
4
2
23 h 18m
23h 16m
23h 14m
23h 12m
23h 10m
TxVBLE IV. [Page 65
Haversinea.
s '
Ofe 50r^ 13° 30'
Qh 52^ 13° 0'
Oft 5-^'" 13° 30'
Oft 56"» 14° 0'
Oft 5<?"» 14° 30'
3
Log. nav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. nav.
Log. Hav.
Nat. Ilav
Log. Hav.
Nat. Tlav
8.07379
0.01185
8.10772
0.01283
8.14035
0.01382
8.17179
0.01485
8.20211
0.01593
60
2
.07437
.01187
.10827
.01283
.14089
.01383
.17230
.01487
.20261
.01594
58
4+ 1
.07494
.01188
.10883
.01285
.14142
.01385 .17282
.01489
.20310
.01596
56
6
.07552
.01190
.10938
.01286
.14195
.01387
.17333
.01491
.20360
.01598
54
52
8+ 2
8.07610
0.01192
8.10993
0.01288
8.14248
0.01388
8.17384
0.01492
8.20410
0.01600
10
.07667
.01193
.11049
.01390
.14302
.01390
.17436
.01494
.20459
.01602
50
12+ 3
.07725
.01195
.11104
.01391
.14355
.01392
.17487
.01496
.20509
.01604
■'rS
U
.07782
.01196
.11159
.01393
.14408
.01393
.17538
.01498
.20558
.01605
46
16+ 4
8.07839
0.01198
8.11214
0.01295
8.14461
0.01395
8.17590
0.01499
8.20608
0.01607
44
18
.07897
.01199
.11269
.01296
.14514
.01397
.17641
.01501
.20057
.01609
42
20+ 5
.07954
.01201
.11324
.01298
.14567
.01399
.17692
.01503
.20706
.01611
40
22
.08011
.01203
.11379
.01300
.14620
o01400
.17743
.01505
.20756
.01613
38
36
24+ 6
8.08069
0.01201
8.11435
0.01301
8.14673
0.01402
8.17794
0.01506
8.20805
0.01615
26
.08126
.01306
.11490
.01303
.14726
.01404
.17845
.01508
.20854
.01616
34
28+ 1
.08183
.01307
.11544
.01305
.14779
.01405
.17896
.01510
.20904
.01618
32
SO
.08240
.01309
.11599
.01306
.14832
.01407
.17947
.01513
.20953
.01620
30
32+ 8
8.08297
0.01311
8.11654
0.01308
8.14885
0.01409
8.17998
0.01S13
8.21002
0.01622
98
34
.08354
.01212
.11709
.01309
.14938
.01411
.18049
.01515
.21051
.01624
96
36+ 9
.08411
.01214
.11764
.01311
.14991
.01412
.18100
.01517
.21100
.01626
f4
38
.08468
8.08525
.01215
.11819
.01313
.15043
.01414
.18151
.01519
.21149
.01627
22
^0+10
0.01217
8.11873
0.01314
8.15096
0.01416
8.18202
0.01521
8.21199
0,01629
m
42
.08582
.01318
.11928
.01316
.15149
.01417
.18253
.01522
.21248
.01631
18
44+11
.08639
.01320
.11983
.01317
.15201
.01419
.18303
.91524
.21297
.01633
16
46
.08696
.01332
.12038
.01319
.15254
.01431
.18354
.01526
.21346
.01635
14
48+12
8.08752
0.01223
8.12092
0.01321
8.15307
0.01423
8.18405
0.01538
8.21395
0.01637
19
50
.08809
.01225
.12147
.01323
.15359
.01434
.18455
.01530
.21444
.01638
10
62+lZ
.08866
.01236
.12201
.01334
.15412
.01426
.18500
.01531
.21493
.01640
8
54
.08922
.01338
.12256
.01336
.15464
.01438
.18557
.01533
.21541
.01642
6
56+14:
8.08979
0.01230
8.12310
0.01338
8.15517
0.01429
8.18607
0.01535
8.21590
0.01644
4
58
8.09036
0.01231
8.12365
0.01339
8.15569
0.01431
8.18658
0.01537
8.21639
0.01646
2
2Sh 9'"
23h 7m
2Jft 5.-''
i?J* 3rr>
2Sh Im
B '
0+15
Oh 51m 12° SO'
Oft 55'" 13° r
Oft 55^ 13° 30'
Oft 57 m 14° 0'
Qh 59^ 14° 30'
s
60
8.09092
0.01233
8.12419
0.01331
8.15622
0.01433
8.18709
0.01538
8.21688
0.01648
2
.09149
.01234
.12473
.01333
.15674
.01435
.18759
.01540
.21737
.01650
58
4+16
.09205
.01236
.12528
.01334
.15726
.01436
.18810
.01542
.21785
.01651
56
6
.09262
.01338
.12582
.01336
.15779
.01438
.18860
.01544
.21834
.01653
54
59.
8+11
8.09318
0.01239
8.12636
0.01338
8.15831
0.01440
8.18910 0.01546
8.21883
0.01655
10
.09374
.01241
.12691
.01339
.15883
.01442
.18961
.01547
.21932
.01657
50
12+19>
.09431
.01343
.12745
.01341
.15935
.01443
.19011
.01549
.21980
.01659
48
14
.09487
.01344
.12799
.01343
.15987
.01445
.190G2
.01551
.22029
.01661
46
16+1^
8.09543
0.01346
8.12853
0.01344
8.16040
0.01447
8.19112
0.01553
8.22077
0.01663
44
18
.09600
.01247
.12907
.01346
.16092
.01448
.19162
.01555
.22126
.01664
4^.
20+20
.09656
.01249
.12961
.01348
.16144
.01450
.19212
.01556
.22175
.01666
40
22
.09712
.01251
.13015
.01349
.16196
.01452
.19263
8.19313
.01558
0.01560
.22223
.01668
38
36
24+21
8.09768
0.01252
8.13069
0.01351
8.16248
0.01454
8.22272
0.01670
26
.09824
.01254
.13123
.01353
.16300
.01455
.19363
.01563
.22320
.01672
34
28+22
.09880
.01255
.13177
.01354
.10352
.01457
.19413
.01564
.22368
.01674
39
SO
.09936
.01357
.13231
.01356
.16404
.01459
.19463
.01565
.22417
.01676
30
5^+23
8.09992
0.01359
8.13285
0.01358 8.16456
0.01461
8.19513
0.01567
8.22465
0.01677
28
34
.10048
.01360
.13339
.01360
.10508
.01463
.19563
.01509
.22514
.01679
96
36+U
.10104
.01262
.13392
.01361
.16559
.01464
.19613
.01571
.22562
.01681
H
38
.10160
.01264
.13446
.01363
.16611
.01466
.19663
.01573
.22610
.01683
22
40+25
8.10216
0.01265
8.13500
0.01365
8.16603
0.01468
8.19713
0.01574
8.22658
0.01685
90
42
.10271
.01267
.13554
.01366
.16715
.01469
.19763
.01576
.22707
.01687
18
44+26
.10327
.01268
.13607
.01368
.16766
.01471
.19813
.01578
.22755
.01689
16
46
.10383
.01370
.13661
.01370
.16818
.01473
.19863
.01580
.22803
.01691
14
48+21
8.10439
0.01272
8.13714
0.01371
8.16870
0.01475
8.19913
0.01582
8.22851
0.01692
1?.
50
.10494
.01273
.13768
.01373
.16921
.01476
.19963
.01584
.22899
.01694
10
52+2%
.10550
.01375
.13822
.01375
.16973
.01478
.20012
.01585
.22947
.01696
8
54
66+29
.10605
.01377
.13875
.01376
.17024
8.17076
.01480
0.01483
.20062
8.20112
.01587
.22996
.01698
6
4
8.10661
0.01278
8.13928
0.01378
0.01589
8.23044
0.01700
58
.10716
.01280
.13982
.01380
.17127
.01483
.20162
.01591
.23092
.01702
?.
60+30
8.10772
0.01282
8.14035
0.01383
8.17179
0.01485
8.20211
0.01593
8.23140
0.01704
23h S'" 1
23^ 6^ 1
23h 4"^ 1
foft 2™
fjft 0^ 1
Page 56] TABLE IV.
Haversines.
s
Ih Om 15° 0'
Ihlm 15° 15' j Ih 2m 15° W
IhSm 15° 4.5'
lh4ml(i°0'
s
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.23140
.23164
.23188
.23212
.01704
.01705
.01706
.01707
8.24567
.24591
.24614
.24638
.01761
.01763
.01763
.01764
8.25971
.25994
.26017
.26040
.01818
.01819
.01830
.01831
8.27352
.27375
.27398
.27420
.01877
.01878
.01879
.01880
8.28711
.28734
.28756
.28779
.01937
.01938
.01939
.01940
60
59
58
57
+ r
5
6
7
8.23235
.23259
.23283
.23307
.01707
.01708
.01709
.01710
8.24661
.24685
.24708
.24732
.01764
.01765
.01766
.01767
8.260G4
.26087
.26110
.26133
.01833
.01823
.01824
.01825
8.27443
.27466
.27489
.27512
.01881
.01882
.01883
.01884
8.28801
.28823
.28846
.28868
.01941
.01942
.01943
.01944
56
55
54
53
+ 3^
9
10
11
8.23331
.23355
,23379
.23403
.01711
.01713
.01713
.01714
8.24755
.24779
.24803
.24826
.01768
.01769
.01770
.01771
8.26156
.26179
.26203
.26226
.01826
.01827
.01828
.01829
8.27534
.27557
.27580
.27603
.01885
.01886
.01887
.01888
8.28891
.28913
.28936
.28958
.01945
.01946
.01947
.01948
52
51
50
49
+ 3'
13
u
15
8.23427
.23451
.23475
.23499
.01715
.01716
.01717
.01718
8.24850
.24873
.24897
.24920
.01773
.01773
.01774
.01775
8.26249
.26272
.26295
.26318
.01830
.01831
.01832
.01833
8.27626
.27648
.27671
.2-7694
.01889
.01890
.01891
.01892
8.28980
.29003
.29025
.29048
.01949
.01950
.01951
.01952
48
47
46
45
+ 4'
17
18
19
8.23523
.23546
.23570
.23594
.01719
.01720
.01731
.01733
8.24944
.24967
.24991
.25014
.01776
.01777
.01778
.01779
8.26341
.26364
.26388
.26411
.01834
.01835
.01836
.01837
8.27717
.27739
.27762
.27785
.01893
.01894
.01895
.01896
8.29070
.29092
.29115
.29137
.01953
.01954
.01955
.01956
U
43
42
41
+ 5'
21
22
23
8.23618
.23642
.23666
.23690
.01733
.01734
.01734
.01725
8.25037
.25061
.25084
.25108
.01780
.01781
.01782
.01783
8.26434
.26457
.26480
.26503
.01838
.01839
.01840
.01841
8.27807
.27830
.27853
.27876
.01897
.01898
.01899
.01900
8.29159
.29182
.29204
.29226
.01957
.01958
.01959
.01960
40
39
38
37
+ 6'
25
26
27
8.23713
.23737
.23761
.23785
.01736
.01737
.01738
.01739
8.25131
.25155
.25178
.25202
.01784
.01785
.01786
.01787
8.26526
.26549
.26572
.26595
.01842
.01843
.01844
.01845
8.27898
.27921
.27944
.27966
.01901
.01902
.01903
.01904
8.29249
.29271
.29293
.29316
.01961
.01962
.01963
.01964
36
35
34
33
+ r
29
SO
31
8.23809
.23832
.23856
.23880
.01730
.01731
.01733
.01733
8.25225
.25248
.25272
.25295
.01788
.01789
.01789
.01790
8.26618
.26641
.26664
.26687
.01846
.01847
.01848
.01849
8.27989
.28012
.28034
.28057
.01905
.01906
.01907
.01908
8.29338
.29360
.29383
.29405
.01965
.01966
.01967
.01968
32
SI
30
29
+ 8'
S3
S4
35
8.23904
.23928
.23951
.23975
.01734
.01735
.01736
.01737
8.25319
.25342
.25365
.25389
,01791
.01793
.01793
.01794
8.26710
.26733
.26756
.26779
.01850
.01851
.01853
.01853
8.28080
.28102
.28125
.28147
.01909
.01910
.01911
.01913
8.29427
.29449
.29472
.29494
.01969
.01970
.01971
.01972
28
27
26
25
+ 9^
S7
S8
39
8.23999
.24022
.24046
.24070
.01738
.01739
.01740
.01741
8.25412
.25435
.25459
.25482
.01795
.01796
.01797
.01798
8.26802
.26825
.26848
.26871
.01854
.01855
.01856
.01857
8.28170
.28193
.28215
.28238
.01913
.01914
.01915
.01916
8.29516
.29539
.29561
.29583
.01973
.01974
.01975
.01976
24
23
22
21
+ W
41
42
43
8.24094
.24118
.24141
.24165
.01743
.01743
.01743
.01744
8.25505
.25529
.25552
.25575
.01799
.01800
.01801
.01802
8.26894
.26917
.26940
.26963
.01858
.01859
.01860
.01861
8.28260
.28283
.28306
.28328
.01917
.01918
.01919
.01930
8.29605
.29628
.29650
.29672
.01977
.01978
.01979
.01980
20
19
18
17
16
15
U
13
+ 11'
45
46
47
8.24189
.24212
.24236
.24260
.01745
.01746
.01747
.01748
8.25599
.25622
.25645
.25669
.01863
.01804
.01805
.01806
8.26986
.27009
.27032
.27055
.01861
.01862
.01863
.01864
8.28351
.28373
.28396
.28418
.01931
.01923
.01923
.01924
8.29694
.29716
.29739
.29761
.01981
.01982
.01983
.01984
+ 13'
49
50
51
8.24283
.24307
.24331
.24354
.01749
.01750
.01751
.01752
8.25692
.25715
.25738
.25762
.01807
.01808
.01809
.01810
8.27078
.27100
.27123
.27146
.01865
.01866
.01867
.01868
8.28441
.28464
.28486
.28509
.01925
.01926
.01927
.01938
8.29783
.29805
.29827
.29850
.01985
.01986
.01987
.01988
12
11
10
9
+ 13'
53
64
65
8.24378
.24402
.24425
.24449
.01753
.01754
.01755
.01756
8.25785
.25808
.25831
.25855
.01811
.01813
.01813
.01814
8.27169
.27192
.27215
.27238
.01869
.01870
.01871
.01872
8.28531
.28554
.28576
.28599
.01939
.01930
.01931
.01932
8.29872
.29894
.29916
.29938
.01989
.01990
.01991
.01992
8
7
6
5
+ 14'
57
58
59
8.24473
.24496
.24520
.24543
.01757
.01758
.01759
.01760
8.25878
.25901
.25924
.25948
.01815
.01816
.01817
.01818
8.27261
.27283
.27306
.27329
.01873
.01874
.01875
.01876
8.28621
.28644
.28666
.28689
.01933
.01934
.01935
.01936
8.29960
.29982
.30005
.30027
.01993
.01994
.01995
.01997
4
S
2
1
+ 15'
8.24567
.01761
8.25971
.01818
8.27352
.01877
8.28711
.01937
8.30049
.01998
22h69^
22f^ 58 m
22^ 57 m
22^ 56">
22 h 55^
TABLE IV. [Page 57
Haversines.
s
ik 5m 16° 15'
Ih 6m 16° 30'
ift7"»16°45'
IhS^lTQ'
Ih 9m 17° 15'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.30049
.30071
.30093
.30115
.01998
.01999
.03000
.03001
8.31366
.31388
.31410
.31431
.03059
.03060
.03061
.03063
8.32663
.32684
.32706
.32727
.03131
.03133
.03124
.03135
8.33940
.33962
.33983
.34004
.03185
.03186
.03187
.03188
8.35199
.35220
.35241
.35261
.03349
.03250
.03351
.03352
60
59
68
67
+ r
5
6
7
8.30137
.30159
.30182
.30204
.03003
.03003
.03004
.03005
8.31453
.31475
.31497
.31518
.03063
.03064
.03065
.03066
8.32749
.32770
.32792
.32813
.03136
.03137
.03138
.03139
8.34025
.34046
.34067
.34088
.03189
.03190
.03191
.03193
8.35282
.35303
.35324
.35345
.03353
.03254
.02255
.03357
66
65
64
63
+ 2'
9
10
11
8.30226
.30248
.30270
.30292
.02006
.03007
.03008
.03009
8.31540
.31562
.31584
.31605
.02067
.03068
.02069
.03070
8.32834
.32856
.32877
.32899
.03130
.03131
.03133
.03133
8.34109
.34130
.34152
.34173
.03193
.03194
.03195
.03196
8.35365
.35386
.35407
.35428
.03358
.03359
.03360
.03361
52
61
60
49
48'
47
46
45
+ 3'
IS
14
15
8.30314
.30336
.30358
.30380
.03010
.03011
.03013
.03013^
8.31627
.31649
.31670
.31692
.03071
.03073
.03074
.03075
8.32920
.32941
.32963
.32984
.03134
.03135
.03136
.02137
8.34194
.34215
.34236
.34257
.03198
.03199
.03300
.03201
8.35449
.35469
.35490
.35511
.03363
.03363
.03264
.03365
n
18
19
8.30402
.30424
.30446
.30468
.03014
.03015
.03016
.02017
8.31714
.31735
.31757
.31779
.03076
.03077
.03078
.03079
8.33006
.33027
.33048
.33070
.03138
.02139
.02140
.03141
8.34278
.34299
.34320
.34341
.02203
.03303
.03304
.02305
8.35532
.35552
.35573
.35594
.02266
.03367
.03368
.03370
44
43
42
41
+ 6'
;25
8.30490
.30512
.30534
.30556
.03018
.03019
.03030
.03031
8.31800
.31822
.31844
.31865
.03080
.03081
.03083
.03083
8.33091
.33112
.33134
.33155
.03143
.03143
.03145
.03146
8.34362
.34383
.34404
.34425
.03306
.03307
.03308
.03309
8.35614
.35635
.35656
.35677
.03371
.03373
.02273
.02274
40
39
38
37
+ 6'
25
26
27
8.30578
.30600
.30622
.30644
.03033
.03033
.03034
.03035
8.31887
.31909
.31930
.31952
.03084
.02085
.02086
.02087
8.33176
.33198
.33219
.33240
.03147
.03148
.03149
.03150
8.34446
.34467
.34488
.34509
.02210
,02211
.02313
.03314
8.35697
.35718
.85739
.35759
.02275
.02276
.03377
.03378
36
35
34
33
+ r
29
SO
SI
8.30666
.30688
.30710
.30732
.03036
.03037
.03038
.03039
8.31974
.31995
.32017
.32039
.03088
.02089
.02090
.02091
8.33262
.33283
.33304
.33325
.03151
.03153
.03153
.03154
8.34530
.34551
.34572
.34593
.03315
.02316
.03317
.03318
8.35780
.35801
.35821
.35842
.03379
.03380
.03381
.03383
32
31
30
29
+ 8'
SS
34
35
8.30754
.30776
.30798
.30820
.03030
.03031
.03033
.03033
8.32060
.32082
.32103
.32125
.02093
.03093
.03094
.02095
8.33347
.33368
.33389
.33411
.03155
.03156
.03157
.03158
8.34614
.34635
.34656
.34677
.03319
.03330
.02331
.03333
8.35863
.35883
.35904
.35925
.02384
.03385
.03386
.03387
28
27
26
25
24
23
22
21
+ 9'
37
38
39
8.30842
.30863
.30885
.30907
.03034
.03035
.03036
.02037
8.32147
.32168
.32190
.32211
.03096
.03097
.02098
.03099
8.33432
.33453
.33474
.33496
.03159
.03160
.03161
.03163
8.34698
.34719
.34740
.34761
.03333
.03334
.03335
.03236
8.35945
.35966
.35987
.36007
.03388
.03389
.03390
.03391
+ W
41
42
43
8.30929
.30951
.30973
.30995
.03038
.03039
.03040
.03043
8.32233
.32254
.32276
.32297
.03101
.03103
.02103
.02104
8.33517
.33538
.33559
.33580
.03164
.03165
.03166
.03167
8.34782
.34803
.34823
.34844
.03337
.03339
.03330
.02231
8.36028
.36048
.36069
.36090
.03293
.03393
.03295
.03396
20
19
IS
17
16
15
14
13
+ ir
45
46
47
8.31017
.31039
.31060
.31082
.03043
.03044
.03045
.03046
8.32319
.32341
.32362
.32384
.02105
.02106
.02107
.03108
8.33602
.33623
.33644
.33665
.03168
.03169
.03170
.03171
8.34865
.34886
.34907
.34928
.03333
.03333
.03334
.03335
8.36110
.36131
.36151
.36172
.03397
.03398
.03399
.03300
+ 13'
49
50
51
8.31104
.31126
.31148
.31170
.03047
.03048
.03049
.02050
8.32405
.32427
.32448
.32470
.03109
.02110
.02111
.03113
8.33686
.33708
.33729
.33750
.03173
.03173
.03174
.02175
8.34949
.34970
.34991
.35011
.03336
.03337
.03338
.03339
8.36193
.36213
.36234
.36254
.02301
.03303
.03303
.03304
12
11
10
9
+ 13'
53
54
55
8.31192
.31213
.31235
.31257
.03051
.03053
.03053
.03054
8.32491
.32513
.32534
.32556
.03113
.03114
.02115
.03116
8.33771
.33792
.33814
.33835
.03176
.03177
.03178
.03179
8.35032
.35053
.35074
.35095
.03340
.03341
.03343
.03344
8.36275
.36295
.36316
.36337
.03305
.03307
.03308
.03309
8
7
6
5
4
3
2
1
+ U'
57
58
59
8.31279
.31301
.31322
.31344
.03055
.03056
.03057
.03058
8.32577
.32599
.32620
.32642
.03117
.03118
.03119
.02130
8.33856
.33877
.33898
.33919
.03181
.02183
.03183
.03184
8.35116
.35137
.35157
.35178
.03345
.03346
.03347
.03348
8.36357
.36378
.36398
.36419
.02310
.02311
.02313
.03313
+ 15'
8.31366
.03059
8.32663
.03131
8.33940
.03185
8.35199
.03349
8.36439
.03314
22 h 54"'
ff A 5Sm
22!^ 52^
22^ 5i™
22''- 50^
Page 58] TABLE IV.
Haversines.
s
jAio^nsr 1
i/. i/". 17° 45' 1
JAi;?"»18°0'
m3mlS°15'
11^ 14"^ 18° W 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.36439
.36460
.36480
.36501
.03314
.03316
.03316
.03317
8.37662
.37682
.37702
.37722
.03380
.03381
.03383
.03384
8.38867
.38886
.38906
.38926
.03447
.03448
.03449
.03451
8.40055
.40074
.40094
.40114
.03515
.03516
.03517
.03518
8.41226
.41246
.41265
.41284
.03584
.03686
.03586
.03587
60
59
58
67
+ r
5
6
7
8.36521
.36542
.36562
.36583
.03319
.03330
.03331
.03333
8.37742
.37763
.37783
.37803
.03385
.03386
.03387
.03388
8.38946
.38966
.38986
.39006
.03453
.03453
.03454
.03455
8.40133
.40153
.40172
.40192
.03530
.03531
.03533
.03533
8.41304
.41323
.41343
.41362
.03588
.03590
.03591
.03593
66
65
64
63
+ r
9
10
11
8.36603
.36624
.36644
.36665
.03333
.03334
.03335
.03336
8.37823
.37843
.37864
.37884
.03389
.03390
.03391
.03393
8.39026
.39046
.39066
.39086
.03456
.03457
.03458
.03460
8.40212
.40231
.40251
.40271
.03534
.03535
.03536
.03538
8.41381
.41401
.41420
.41439
.03593
.03594
.03596
.03597
52
51
60
49
+ 3'
13
14
15
8.36685
.36706
.36726
.36746
.03337
.03338
.03339
.03331
.03333
.03333
.03334
.03335
8.37904
.37924
■ .37944
.37964
.03394
.03395
.03396
.03397
8.39105
.39125
.39145
.39165
.03461
.03463
.03463
.03464
8.40290
.40310
.40329
.40349
.03539
.03530
.03531
.03533
8.41459
.41478
.41497
.41517
.03598
.03699
.03600
.03601
48
47
46
45
+ 4'
17
18
19
8.36767
.36787
.36808
.36828
8.37985
.38005
.38025
.38045
.03398
.03399
.03400
.03401
8.39185
.39205
.39225
.39245
.03465
.03466
.03467
.03469
8.40369
.40388
.40408
.40427
.03533
.03534
.03536
.03537
8.41536
.41555
.41575
.41594
.03603
.03603
.03606
.03606
44
43
42
41
+ 5'
21
22
23
8.36849
.36869
.36889
.36910
.03336
.03337
.03338
.03339
8.38065
.38085
.38105
.38126
.03403
.03404
.03405
.03406
8.39264
.39284
.39304
.39324
.03470
.03471
.03473
.03473
8.40447
.40467
.40486
.40506
.03538
.03539
.03540
.03541
8.41613
.41632
.41652
.41671
.03607
.03608
.03609
.03610
40
39
38
37
H- 6'
25
26
27
8.36930
.36951
.36971
.36991
.03340
.03343
.03343
.03344
8.38146
.38166
.38186
.38206
.03407
.03408
.03409
.03410
8.39344
.39364
.39384
.39403
.03474
.03475
.03476
.03478
8.40525
.40545
.40564
.40584
.03543
.03544
.03545
.03546
8.41690
.41710
.41729
.41748
.03613
.03613
.03614
.03615
36
35
34
33
+ r
29
SO
31
8.37012
.37032
.37053
.37073
.03345
.03346
.03347
.03348
8.38226
.38246
.38266
.38286
.03411
.03413
.03414
.03415
8.39423
.39443
.39463
.39482
.03479
.03480
.03481
.03483
8.40603
.40623
.40642
.40662
.03547
.03548
.03549
.03550
8.41767
.41787
.41806
.41825
.03616
.03617
.03619
.03630
32
31
30
29
+ 8'
33
34
35
8.37093
.37114
.37134
.37154
.03349
.03350
.03351
.03353
8.38306
.38326
.38346
.38367
.03416
.03417
.03418
.03419
8.39502
.39522
.39542
.39562
.03483
.03484
.03486
.03487
8.40681
.40701
.40721
.40740
.03553
.03553
.03554
.03555
8.41845
.41864
.41883
.41902
.03631
.03633
.03633
.03634
28
27
26
25
24
23
22
21
+ 9^
37
38
39
8.37175
.37195
.37215
.37236
.03354
.03355
.03356
.03357
8.38387
.38407
.38427
.38447
.03430
.03431
.03433
.03434
8.39581
.39601
.39621
.39641
.03488
.03489
.03490
.03491
8.40760
.40779
.40799
.40818
.03656
.03557
.03559
.03560
8.41921
.41941
.41960
.41979
.03636
.03637
.03638
.03639
+ 10'
41
42
43
8.37256
.37276
.37297
.37317
.03358
.03359
.03360
.03361
8.38467
.38487
.38507
.38527
.03436
.03436
.03437
.03438
8.39660
.39680
.39700
.39720
.03493
.03493
.03495
.03496
8.40837
.40857
.40876
.40896
.03561
.03563
.03663
.03564
8.41998
.42018
.42037
.42056
.03630
.03631
.03633
.03834
20
19
18
17
+ ir
45
46
47
8.37337
.37358
.37378
.37398
.03363
.03364
.03365
.03366
.03367
.03368
.03369
.03370
8.38547
.38567
.38587
.38607
.03439
.03430
.03431
.03433
8.39739
.39759
.39779
.39799
.03497
.03498
.03499
.03500
8.40915
.40935
.40954
.40974
.03565
.03567
.03568
.03569
8.42075
.42095
.42114
.42133
.03635
.03636
.03637
.03638
16
15
14
13
12
11
10
9
+ 13'
49
50
51
8.37419
.37439
.37459
.37479
8.38627
.38647
.38667
.38687
.03434
.03435
.03436
.03437
8.39818
.39838
.39858
.39877
.03501
.03503
.03504
.03505
8.40993
.41013
.41032
.41052
.03570
.03571
.03673
.03673
8.42152
.42171
.42190
.42210
.03639
.03641
.03643
.03643
+ 13'
53
54
55
8.37500
.37520
.37540
.37560
.03371
.03373
.03374
.03375
8.38707
.38727
.38747
.38767
.03438
.03439
.03440
.03443
8.39897
.39917
.39937
.39956
.03506
.03507
.03508
.03509
8.41071
.41090
.41110
.41129
.03575
.03676
.03677
.03678
8.42229
.42248
.42267
.42286
.03644
.03645
.03646
.03648
8
7
6
5
+ 14'
57
55
59
8.37581
.37601
.37621
.37641
.03376
.03377
.03378
.03379
8.38787
.38807
.38827
.38847
.03443
.03444
.03445
.03446
8.39976
.39996
.40015
.40035
.03510
.03513
.03513
.03514
8.41149
.41168
.41187
.41207
.03679
.03680
.03683
.03683
8.42305
.42324
.42344
.42363
.03649
.03650
.03651
.03653
4
3
2
1
+ 16'
8.37662
.03380
8.38867
.03447
8.40055
.03515
8.41226
.03684
8.42382
.03653
22^ 49^
22 1^ 4S^
22^ 47m
22k 46m
22>^45m
TABLE IV. [Page 59
Haversines.
s
iftJ5"» 18° 45' 1
iniemi%°iy 1
Ihnm 19° 15/
l^lSm 19° 30'
Ih 19m 19° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.42382
.42401
.42420
.42439
.03653
.02655
.03656
.03657
8.43522
.43541
.43560
.43578
.03724
.02725
.02726
.02738
8.44647
.44665
.44684
.44703
.03796
.03797
.03798
.03799
8.45757
.45775
.45794
.45812
.02868
.02869
.02870
.02871
8.46852
.46871
.46889
.46907
.03941
.03943
.03944
.02945
60
59
58
57
+ r
5
6
7
8.42458
.42477
.42497
.42516
.02658
.03659
.03661
.03663
8.43597
.43616
.43635
.43654
.02729
.03730
.02731
.02733
8.44721
.44740
.44758
.44777
.02800
.02803
.03803
.02804
8.45830
.45849
.45867
.45885
.02873
.02874
.02875
.02876
8.46925
.46943
.46961
.46979
.02946
.02947
.02949
.02950
56
55
54
53
+ r
9
10
11
8.42535
.42554
.42573
.42592
.02663
.03664
.02665
.02666
8.43673
.43692
.43710
.43729
.02734
.02735
.02736
.02737
8.44796
.44814
.44833
.44851
.02805
.02806
.03808
.03809
8.45904
.45922
.45940
.45959
.02878
.02879
.02880
.02881
8.46998
.47016
.47034
.47052
.02951
.02952
.02954
.02955
52
51
50
49
+ 3'
IS
14
15
8.42G11
.42630
.42649
.42668
.02668
.02669
.03670
.03671
8.43748
.43767
.43786
.43805
.02738
.02739
.02741
.02743
8.44870
.44889
.44907
.44926
.03810
.02811
.03813
.02814
8.45977
.45995
.46014
.46032
.02883
.02884
.02885
.02886
8.47070
.47088
.47106
.47124
.02956
.02957
.02958
,02960
48
47
46
45
+ 4'
17
18
19
8.42687
.42706
.42725
.42745
.02673
.02673
.02675
.02676
8.43823
.43842
.43861
.43880
.03743
.02744
.02745
.02747
8.44944
.44963
.44981
.45000
.02815
.02816
,02817
.03818
8.46050
.46069
.46087
.4G105
.02887
.02889
.03890
.02891
8.47142
.47160
.47178
.47197
,02961
,03962
,03963
,02965
44
43
42
41
+ 5'
21
22
23
8.42764
.42783
.42802
.42821
.02677
.02678
.02679
.02680
8.43899
.43917
.43936
.43955
.02748
.02749
.02750
.02751
8.45018
.45037
.45055
.45074
.02820
.02821
.02822
.03823
8.46124
.46142
.46160
.46179
.02893
.02893
.02895
.02896
8.47215
.47233
.47251
.47269
.03966
.02967
.02968
.02970
40
39
38
37
+ 6'
25
26
27
8.42840
.42859
.42878
.42897
.02683
.02683
.03684
.03685
8.43974
.43992
.44011
.44030
.02753
.03754
.02755
.02756
8.45093
.45111
.45130
.45148
.02824
.02826
.02827
.02828
8.46197
.46215
.46233
.46252
.02897
.03898
.03900
.02901
8.47287
.47305
.47323
.47341
.02971
.02972
.02973
.03974
36
35
34
33
+ r
29
30
31
8.42916
.42935
.42954
.42973
.03686
.03688
.03689
.02690
8.44049
.44067
.44086
.44105
.02757
.02759
.02760
.02761
8.45167
.45185
.45204
.45222
.02829
.02830
.02833
.03833
8.46270
.46288
.46306
.46325
.02902
.02903
.02904
.02906
8.47359
.47377
.47395
.47413
.03976
.03977
.03978
.02979
32
31
SO
29
+ 8'
33
84
35
8.42992
.43011
.43030
.43049
.02691
.02693
.03693
.03695
8.44124
.44142
.44161
.44180
.02762
.03763
.03764
.03766
8.45241
.45259
.45278
.45296
.02834
.02835
.02836
.02838
8.46343
.46361
.46379
.46398
.02907
.02908
.02909
,02911
8.47431
.47449
.47467
.47485
.02981
.02982
.02983
.02984
28
27
26
25
+ 9^
37
38
39
8.43068
.43087
.43106
.43125
.02696
.02697
.02698
.02699
8.44199
.44217
.44236
.44255
.03767
.03768
.03769
.02771
8.45315
.45333
.45352
.45370
.02839
.02840
.02841
.02843
8.46416
.46434
.46452
.46471
.02913
.02913
.02914
.02915
8.47503
.47521
.47539
.47557
.0298«
,02987
,02988
,02989
24
23
22
21
+ ir
41
42
43
8.43144
.43163
.43181
.43200
.02700
.03703
.02703
.02704
8.44273
.44292
.44311
.44330
.02772
.02773
.02774
.03775
8.45388
.45407
.45425
.45444
.02844
.02845
.02846
.02847
8.46489
.46507
.46525
.46544
.02917
.02918
.02919
.02920
8.47575
.47593
.47611
.47629
.02991
.02993
.03993
.03994
20
19
18
17
+ 11'
45
46
47
8.43219
.43238
.43257
.43276
.02705
.02706
.02708
.02709
8.44348
.44367
.44386
.44404
.03776
.03778
.03779
.02780
8.45462
.45481
.45499
.45518
.02849
.02850
.02851
.02852
8.46562
.46580
.46598
.46616
.02922
.02923
.02924
.02925
8.47647
.47665
.47683
.47701
.03996
.03997
.03998
.02999
16
15
14
IS
+ 13'
49
50
51
8.43295
.43314
.43333
.43352
.02710
.02711
.02713
.02713
8.44423
.44442
.44460
.44479
.02781
.02782
.02784
.02785
8.45536
.45554
.45573
.45591
.02853
,02855
.02856
.02857
8.46634
.46653
.46671
.46689
.02926
,02928
,02929
.02930
8.47719
.47737
.47755
.47773
.03000
.03003
.03093
.03004
12
11
■10
9
+ 13'
53
54
55
8.43371
.43390
.43409
.43427
.02715
.02716
.02717
.02718
8.44498
.44516
.44535
.44554
.03786
.02787
.03788
.03790
8.45610
.45628
,45646
.45665
.02858
.02859
.02861
.02862
8.46707
.46725
.46744
.46762
.02931
.02933
.02934
,02935
8.47791
.47809
.47827
.47844
.03005
.03007
.03008
.03009
8
7
6
5
+ 14'
57
58
59
8.43446
.43465
.43484
.43503
.02719
.02721
.02722
.02723
8.44572
.44591
.44610
.44628
.02791
.02793
.02793
.03794
8.45683
.45702
.45720
.45738
.02863
.02864
.02866
.02867
8.46780
.46798
.46816
.46834
,02936
,02938
,02939
,02940
8.47862
.47880
.47898
.47916
.03010
.03013
.03013
.03014
4
3
2
1
+ 15'
8.43522
.03734
8.44647
.03796
8.45757
.02868
8.46852
,03941
8.47934 .03015
221^ 44""
22^43^
22J>' 42^
22h 41"*
22J<'40^
Page 60] TABLE IV.
Haversines.
s
Ih 20m 30° (y 1
in2im2Q°W
jh ogm 20° 30^
1^23^20° 4:5'
:?'i.M"'-31°0' 1
s
60
59
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.47934
.47952
.47970
.47988
.03015
.03017
.03018
.03019
8.49002
.49020
.49037
.49055
.03090
.03093
.03093
.03091
8.50056
.50074
.50091
.50109
.03166
.03168
.03169
.03170
8.51098
.51115
.51132
.51150
.03313
.03315
.03316
.03317
8.52127
.52144
.52161
.52178
.03331
.03323
.03331
.03335
+ r
5
6
7
8.48006
.48024
.48041
.48059
.03020
.03033
.03033
.03031
8.49073
.49090
.49108
.49126
.03095
.03097
.03098
.03099
8.50126
.50144
.50161
.50179
.03171
.03173
.03171
.03175
8.51167
.51184
.51201
.51219
.03318
.03350
.03251
.03353
8.52195
.52212
.52229
.52246
.03336
.03338
.03329
.03330
56
55
54
53.
+ 3^
9
10
11
8.48077
.48095
.48113
.48131
.03035
.03037
.03038
.03039
8.49143
.49161
.49179
.49196
.03101
.03103
.03103
.03101
8.50196
.50214
.50231
.50248
.03177
.03178
.03179
.03180
8.51236
.51253
.51270
.51287
.03351
.03355
.03356
.03357
8.52263
.52280
.52297
.52314
.03331
.03333
.03331
.03335
52
51
50
49
+ 3-
13
14
15
8.48149
.48167
.48184
.48202
.03030
.03033
.03033
.03031
8.49214
.49232
.49249
.49267
.03106
.03107
.03108
.03109
8.50266
.50283
.50301
.50318
.03183
.03183
.03181
.03186
8.51305
.51322
.51339
.51356
.03359
.03360
.03361
.03363
8.52331
.52348
.52365
.52382
.03337
.03338
.03339
.03311
48
47
46
45
n
18
19
8.48220
.48238
.48256
.48274
.03035
.03037
.03038
.03039
8.49284
.49302
.49320
.49337
.03111
.03113
.03113
.03111
8.50335
.50353
.50370
.50388
.03187
.03188
.03189
.03191
8.51374
.51391
.51408
.51425
.03361
.03365
.03366
.03368
8.52399
.52416
.52433
.52450
.03313
.03313
.03314
.03316
U
43
42
41
+ 6^
21
22
23
8.48292
.48309
.48327
.48345
.03010
.03013
.03013
.03011
8.49355
.49373
.49390
.49408
.03116
.03117
.03118
.03119
8.50405
.50422
.50440
.50457
.03193
.03193
.03191
.03196
8.51442
.51459
.51477
.51494
.03369
.03370
.03373
.03373
8.52467
.52484
.52501
.52518
.03317
.03348
.03350
.03351
40
39
38
37
+ 6^
25
26
27
8.48363
.48381
.48399
.48416
.03015
.03017
,03018
.03019
8.49425
.49443
.49461
.49478
.03131
.03133
.03133
.03135
8.50475
.50492
.50509
.50527
.03197
.03198
.03300
.03301
8.51511
.51528
.51545
.51562
.03371
.03375
.03377
.03378
8.52535
.52552
.52569
.52585
.03353
.03351
.03355
.03356
36
35
34
33
+ r
29
SO
31
8.48434
.48452
.48470
.48488
.03050
.03053
.03053
.03051
8.49496
.49513
.49531
.49548
.03136
.03137
.03138
.03130
8.50544
.50561
.50579
.50596
.03303
.03301
.03305
.03306
8.51580
.51597
.51614
.51631
.03379
.03381
.03383
.03383
8.52602
.52619
.52636
.52653
.03358
.03359
.03360
.03361
32
31
30
29
+ 8^
33
34
35
8.48505
.48523
.48541
.48559
.03055
.03057
.03058
.03059
8.49566
.49584
.49601
.49619
.03131
.03133
.03133
.03135
8.50614
.50631
.50648
.50666
.03307
.03309
.03310
.03311
8.51648
.51665
.51682
.51700
.03385
.03386
.03387
.03388
8.52670
.52687
.52704
.52721
.03363
.03361
.03365
.03367
28
27
26
25
+ 9^
37
38
39
8.48576
.48594
.48612
.48630
.03060
.03063
.03063
.03061
8.49636
.49654
.49671
.49689
.03136
.03137
.03138
.03110
8.50683
.50700
.50718
.50735
.03313
.03311
.03315
.03316
8.51717
.51734
.51751
.51768
.03390
.03391
.03393
.03391
8.52738
.52755
.52772
.52789
.03368
.03369
.03371
.03373
24
23
22
21
+ W
41
42
43
8.48648
.48665
.48683
.48701
.03065
.03067
.03068
.03069
8.49706
.49724
.49742
.49759
.03111
.03143
.03111
.03115
8.50752
.50770
.50787
.50804
.03318
.03319
.03230
.03331
8.51785
.51802
.51819
.51836
.03395
.03396
.03398
.03399
8.52806
.52822
.52839
.52856
.03373
.03375
.03376
.03377
20
19
18
17
+ il'
45
46
47
8.48719
.48736
.48754
.48772
.03070
.03073
.03073
.03071
8.49777
.49794
.49812
.49829
.03116
.03117
.03119
.03150
8.50821
.50839
.50856
.50873
.03333
.03331
.03325
.03337
8.51854
.51871
.51888
.51905
.03300
.03301
.03303
.03301
8.52873
.52890
.52907
.52924
.03379
.03380
.03381
.03383
16
15
14
13
+ n'
49
50
51
8.48789
.48807
.48825
.48843
.03075
.03077
.03078
.03079
8.49847
.49864
.49882
.49899
.03151
.03153
.03151
,03155
8.50891
.50908
.50925
.50943
.03338
.03239
.03330
.03333
8.51922
.51939
.51956
.51973
.03305
.03307
.03308
.03309
8.52941
.52958
.52974
.52991
.03381
.03385
.03386
.03388
12
11
10
9
+ W
53
54
55
8.48860
.48878
.48896
.48914
.03080
.03083
.03083
.03081
8.49917
.49934
.49952
.49969
.03156
.03157
.03159
.03160
8.509G0
.50977
.50994
.51012
.03333
.03331
.03336
.03337
8.51990
.52007
.52024
.52041
.03311
.03313
.03313
.03311
8.53008
.53025
.53042
.53059
.03389
.03390
.03392
.03393
8
7
6
5
+ ir
57
58
59
8.48931
.48949
.48967
.48984
.03085
.03087
.03088
.03089
8.49987
.50004
.50022
.50039
.03161
.03163
.03161
.03165
8.51029
.51046
.51063
.51081
.03338
.03339
.03311
.03313
8.52058
.52076
.52093
.52110
.03316
.03317
.03318
.03330
8.53076
.53092
.53109
.53126
.03391
.03396
.03397
.03398
4
3
2
1
+ W
8.49002
.03090
8.50056
.03166
8.51098
.03313
8.52127
.03331
8.53143
.03100
22h son,
22^ 38m
22h S7m
22h S6m
22h 35m
TABLE IV.
Haversinea.
[Page 61
s
jh 25m 31° 15'
Ih 26m 21° 30'
Ihzim,
21° 45'
Ih 28m 23° 0'
Ih 29m 23° 15'
S
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
s
8.53143
.53160
.53177
.53193
.03400
.03401
.03403
.03404
8.54147
.54164
.54180
.54197
.03479
.03480
.03483
.03483
8.55139
.55156
55172
.55189
.03560
.03561
.03563
.03564
8.56120
.56136
.56152
.56169
.03641
.03642
.03644
.03645
8.57089
.57105
.57121
.57137
.03733
.03724
.03726
.03737
60
59
58
57
66
55
54
53
+ r
5
6
7
8.53210
.53227
.53244
.53261
.03405
.03106
.0340S
.03409
8.54214
.54230
.54247
.54263
.03484
.03486
.03487
.03488
8.55205
.55221
55238
.55254
.03565
.03566
.03568
.03569
8.56185
.56201
.56217
.56233
.03646
.03648
.03649
.03650
8.57153
.57169
.57185
.57201
.03738
.03730
.03731
.03733
+ ^
9
10
11
8.53277
.53294
.53311
.53328
.03410
.03411
.03413
.03414
8.54280
.54297
.54313
.54330
.03490
.03491
.03493
.03494
8.55271
.55287
.55303
.55320
.03570
.03573
.03573
.03574
8.56250
.56266
.56282
.56298
.03652
.03653
.03654
.03656
8.57217
.57233
.57230
.57266
.03734
.03735
.03737
.03738
52
51
50
49
+ 3'
IS
14
15
8.53345
.53361
.53378
.53395
.03415
.03417
.03418
.03419
8.54346
.54363
.54380
.54396
.03495
.03496
.03498
.03499
8.55336
.55353
.55369
.55385
.03576
.03577
.03578
.03580
8.56315
.56331
.56347
.56363
.03657
.03659
.03660
.03661
8.57282
.57298
.57314
.57330
.03740
.03741
.03743
.03744
48
47
46
45
+ 4'
17
18
19
8.53412
.53429
.53445
.53462
.03431
.03423
.03433
.03435
8.54413
.54429
.54446
.54462
.03500
.03503
.03503
.03504
8.55402
.55418
.55435
.55451
.03581
.03583
.03584
.03585
8.56379
.56396
.56412
.56428
.03663
.03664
.03665
.03667
8.57346
.57362
.57378
.57394
.03745
.03746
.03748
.03749
44
43
42
41
+ 5'
21
23
8.53479
.53496
.53512
.53529
.03436
.03437
.03439
.03430
8.54479
.54496
.54512
.54529
.03506
.03507
.03509
.03510
8.55467
.55484
.55500
.55516
.03587
.03588
.93589
.03591
8.56444
.56460
.56477
.56493
.03668
.03669
.03671
.03673
8.57410
.57426
.57442
.57458
.03751
.03752
.03753
.03755
40
39
38
37
+ 6^
25
26
27
8.53546
.53563
.53580
.53596
.03431
.03433
.03434
.03435
8.54545
.54562
. .54578
5.54595
.03511
.03513
.03514
.03515
. .03517
;. 03518
; .03519
-.03531
8.55533
<. 55549
1.55566
.55582
.03593
.03593
.03595
.03596
8.56509
.56525
.56541
.56557
.03674
.03675
.03676
.03678
8.57474
.57490
.57506
.57522
.03756
.03757
.03759
.03760
36
35
34
33
+ r
29
SO
31
8.53613
.' .53630
.53646
.53663
.03437
.03438
.03439
.03441
8.54612
i. 54628
) .54645
.54661
8.55598
.55615
.55631
.55647
.03597
r .03599
.03600
.03601
8.56574
.56590
.56606
.56622
.03679
.03680
.03682
.03683
8.57538
.57554
.57570
.57585
.03763
.03763
.03764
.03766
32
31
30
29
+ 8'
33
34
35
8.53680
.53697
.53713
.53730
.03443
.03443
.03445
.03446
8.54678
-.54694
:. 54711
'.54727
.03533
.03533
'.03535
.03536
8.55664
.55680
.55696
.55713
.03603
.03604
.03605
.03607
8.56638
.56654
.56670
.56687
.03685
.03686
.03687
.03689
8.57601
.57617
.57633
.57649
.03767
.03769
.03770
.03771
28
27
26
25
+ r
37
38
39
8.53747
.53764
.53780
.53797
.03447
.03449
.03450
.03451
8.54744
. .54760
.54777
.54793
.03537
.03539
.03530
.03531
8.55729
.55745
.55762
.55778
.03608
.03610
.03611
.03613
.03614
.03615
.03616
.03618
8.56703
.56719
.56735
.56751
.03680
.03691
.03693
.03694
8.57665
.57681
.57697
.57713
.03773
.03774
.03775
.03777
24
23
22
21
+ W
41
42
43
8.53814
.53830
.53847
.53864
.03453
.03454
.03455
.03457
8.54810
.54826
^.54843
-.54859
.03533
.03534
.03535
.03537
8.55794
.55811
.55827
.55843
8.56767
.56783
.56799
.56816
.03695
.03697
.03698
.03700
8.57729
.57745
.57761
.57777
.03778
.03780
.03781
.03782
20
19
18
17
16
15
14
13
+ ir
45
46
47
8.53880
.53897
.53914
.53930
.03458
.03459
.03460
.03463
8.54876
.54892
-.54909
.54925
.03538
.03539
.03541
.03543
8.55859
.55876
.55892
.55908
.03619
.03630
.03633
.03633
8.56832
.56848
.56864
.56880
.03701
.03702
.03704
.03705
8.57793
.57809
.57825
.57841
.03784
.03785
.03787
.03788
+ ir
49
50
51
8.53947
.53964
.53980
.53997
.03463
.03464
.03466
.03467
8.54942
.54958
.54975
.54991
.03543
.03545
.03346
.03547
8.55925
55941
.55957
.55973
.03634
.03636
.03637
.03629
8.56896
.56912
56928
.56944
.03706
.03708
.03709
.03711
8.57856
.57872
.57888
.57904
.03789
.03791
.03792
.03794
12
11
10
9
8
7
6
5
+ W
53
54
55
8.54014
.54030
.54047
.45064
.03468
.03470
.03471
.03473
8.55008
.55024
.55041
.55057
.03549
.03550
.03551
.03553
8.55990
56006
.56022
.56039
.03630
.03631
.03633
.03634
8.56960
56977
.56993
.57009
.03713
.03713
.03715
.03716
8.57920
.57936
57952
.57968
.03795
.03796
.03798
.03799
+ ir
57
58
59
8.54080
.54097
.54114
.54130
.03474
.03475
.03476
.03478
8.55073
.55090
.55106
.55123
8.55139
.03554
.03555
.03557
.03558
.03560
8.56055
.56071
.56087
.56104
.03635
.03637
.03638
.03639
8.57025
.57041
.57057
.57073
.03717
.03719
.03730
.03733
.03723
8.57984
.58000
.58015
.58031
.03800
.03802
.03803
.03805
4
3
2
1
+ 15'
8.54147
.03479
8.56120
.03641
8.57089
8.58047
.03806
22^
34m
22^
33m
22^
32m
22'^
3pn
22h
SOm
Page 62]
TABLE IV.
Haversines.
s
1AJ0™22°3(K 1
Ih Sim 22° 45'
iA5^23°0' 1
JA5.JW23°15'
IhSpn
23° 30'
a
1
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
s
8.58047
.58063
.58079
.58095
.03806
.03807
.03809
.03810
8.58994
.59010
.59026
.59042
.03890
.03891
.03893
.03894
8.59931
.59947
.59962
.59978
.03975
.03976
.03978
.03979
8.60857
.60873
.60888
.60903
.04060
.04062
.04063
.04065
8.61773
61789
.61804
.61819
.04147
.04148
.04150
.04151
60
59
58
57
+ r
5
6
7
8.58111
.58127
.58142
.58158
.03813
.03813
.03814
.03816
8.59057
.59073
.59089
.59104
.03896
.03897
.03898
.03900
8.59993
.60009
.60024
.60040
.03980
.03982
.03983
.03985
8.60919
.60934
.60949
.60965
.04066
.04068
.04069
.04070
8.61834
.61849
.61864
.61880
.04153
.04154
.04156
.04157
56
55
54
53
+ ?/
9
10
11
8.58174
.58190
.58206
.58222
.03817
.03819
.03830
.03831
8.59120
.59136
.59151
.59167
.03901
.03903
.03904
.03905
8.60055
.60071
.60086
.60102
.03986
.03988
.03989
.03990
8.60980
.60995
.61011
.61026
.04072
.04073
.04075
.04076
8.61895
.61910
.61925
.61940
.04159
.04160
.04163
.04163
52
51
50
49
+ 3'
IS
u
15
8.58238
.58253
.58269
.58285
.03833
.03834
.03836
.03837
8.59183
.59198
.59214
.59230
.03907
.03908
.03910
.03911
8.60117
.60133
.60148
.60164
.03992
.03993
.03995
.03996
8.61041
.61057
.61072
.61087
.04078
.04079
.04081
.04083
8.61955
.61971
.61986
.62001
.04164
.04166
.04167
.04169
48
47
46
45
n
18
19
8.58301
.58317
.58333
.58348
.03838
.03830
.03831
.03833
8.59245
.59261
.59277
.59292
.03912
.03914
.03915
.03917
8.60179
.60195
.60210
.60226
.03998
.03999
.04000
.04002
8.61103
.61118
.61133
.61149
.04083
.04085
.04086
.04088
8.62016
.62031
.62046
.62061
.04170
.04172
04173
.04175
44
43
42
41
40
39
38
37
■i
+ 6^
22 ■'■
2S
8.58364
.58380
.68396
.58412
.03834
.03835
.03837
.03838
8.59308
.59323
.59339
.59355
.03918
.03930
.03931
.03933
8.60241
.60256
.60272
.60287
.04003
.04005
.04006
.04007
8.61164
.61179
.61194
.61210
.04089
.04091
.04093
.04094
8.62077
.62092
.62107
.62122
.04176
.04177
.04179
.04180
■-
+ 6'
25
26 '■■■
27 ^
8.58427
.58443
.58459
.58475
.03839
.03841
.03842
.03844
8.59370
.59386
.59402
.59417
.03934
.03925
.03927
.03938
8.60303
.60318
.60334
.60349
.04009
.04010
.04012
.04013
8.61225
.61240
.61256
.61271
.04095
.04096
.04098
.04099
8.62137
.62152
.62167
.62182
.04182
.04183
.04185
.04186
36
35
34
33
32
31
30
29
+ r
29 .
SO
SI
8.58491
.58506
.58522
.58538
.03845
.03846
.03848,
.03849^
8.59433
.59448
.59464
'.59480
.03939
^03931
1.03932
*. 03934
8.60365
.60380
.60396
.60411
.04015
.04016
.04017
.04019
8.61286
.61301
.61317
.61332
.04101
.04103
.04104
.04105
8.62197
.62213
.62228
.62243
.04188
.04189
.04191
.04192
+ 8^
ss
34
35
8.58554
.58570
.58585
.58601
.03851
.03853
.03853
.03855
8.59495
.59511
■ .59527
.59542
.03935
.03936
* .03938
-.03939
8.60426
.60442
.60457
~ .60473
.04020
.04022
.04023
.04025
8.61347
.61362
.61378
.61393
.04106
.04108
.04109
.04111
8.62258
.62273
.62288
.62303
.04194
.04195
.04196
.04198
28
27
26
25
+ 9^
37
38 ,
39
8.58617
.58633
.58648
.58664
.03856
.03858
.03859
.03860
8.59558
.59573
-.59589
.59604
.03941
.03943
; .03944
.03945
8.60488
.60504
.60519
.60534
.04026
.04037
.04039
.04030
8.61408
.61423
.61439
.61454
.04113
.04114
.04115
.04117
8.62318
.62333
.62348
.62363
.04199
.04201
.04202
.04304
24
23
22
21
1
+ W
41 -
42
43
8.58680
.58696
.58711
.58727
.03863
.03863
.03865
.03866
8.59620
.59636
.59651
.59667
.03946
i .03948
f. 03949
.03951
8.60550
.60565
.60581
.60596
.04033
.04033
.04035
.04036
8.61469
.61484
.61500
.61515
.04118
.04119
.04131
.04132
8.62379
.62394
.62409
.62424
.04305
.04307
.04208
.04210
20
19
18
17
+ ir
45
46
47
8.58743
.58759
.58774
.58790
.03867
.03869
.03870
.03873
8.59682
.59698
.59714
.59729
.03952
.03953
.03955
.03956
8.60611
.60627
.60642
.60658
.04038
.04039
.04040
.04043
8.61530
.61545
.61561
.61576
.04124
.04125
.04127
.04128
8.62439
.62454
.62469
.62484
.04211
-04212
.04214
.04215
16
15
14
IS
+ 13'
49
50 i
51
8.58806
.58822
.58837
.58853
.03873
.03875
.03876
.03877
8.59745
.59760
.59776
.59791
.03958
.03959
.03961
.03962
8.60673
.60688
.60704
.60719
.04043
.04045
.04046
.04048
8.61591
.61606
.61621
.61637
.04130
.04131
.04133
.04134
.04135
.04137
.04138
.04140
8.62499
.62514
.62529
.62544
8.62559
.62574
.62589
.62604
.04217
.04218
.04220
.04221
.04223
.04224
.04226
.04237
12
11
10
9
8
7
6
5
+ 13'
53
54
55
8.58869
.58885
.58900
.58916
.03879
.03880
.03883
.03883
8.59807
.59822
.59838
.59853
.03963
.03965
.03966
.03968
8.60734
.60750
.60765
.60781
.04049
.04050
.04053
.04053
8.61652
.61667
.61682
.61697
+ W
57
58
59
8.58932
.58947
.58963
.58979
.03884
.03886
.03887
.03889
8.59869
.59885
.59900
.59916
.03969
.03971
.03973
.03973
8.60796
.60811
.60827
.60842
.04055
.04056
.04058
.04059
8.61713
.61728
.61743
.61758
.04141
.04143
.04144
.04146
8.62619
.62634
.62649
.62664
.04229
.04230
.04232
.04233
4
o
2
1
+ 15'
8.58994
.03890
8.59931
.03975
8.60857
.04060
8.61773
.04147
8.62680
.04234
m. 22^
29m
• 22^ 28m ^4-:*'
-'.'••■ f^^
27m
M- ^2^
26m ^^^.1
22^
25m
TABLE IV. [Page 63
Haversines.
s
Jft55"»23°45' 1
iA56m24°0'
Ih S7m 24° 15/
J?ft 55^24° 30'
i'iJ9"»24°45'
s
60
59
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.62680
.62695
.62710
.62725
.04234
.04236
.04237
.04239
8.63576
.63591
.63606
.63620
.04323
.04324
.04326
.04327
8.64463
.64477
.64492
.64507
.04412
.04413
.04415
.0441G
8.65340
.65355
.65369
.65384
.04502
.04503
.04505
.04506
8.66208
.66223
.66237
.66251
.04593
.04594
.04596
.04597
+ 1^
6
6
7
8.62740
.62755
.62770
.62785
.04240
.04242
.04243
.04245
8.63635
.63650
.63665
.63680
.04329
.04330
.04332
.04333
8.64521
.64536
.64551
.64565
.04418
.04419
.04421
.04422
8.65398
.65413
.65427
.65442
.04508
.04509
.04511
.04512
8.66266
.66280
.66295
.66309
.04599
.04600
.04602
.04604
56
55
54
53
+ 3'
9
10
11
8.62800
.62815
.62830
.62845
.04246
.04248
.04249
.04251
8.63695
.63709
.63724
.63739
.04335
.04336
.04338
.04339
8.64580
.64595
.64609
.64624
.04424
.04425
.04427
.04428
8.65456
.65471
.65485
.65500
.04514
.04516
.04517
.04519
8.66323
.66338
.66352
.66366
.04605
.04607
.04608
.04610
52
51
50
49
+ 3^
IS
14
15
8.62860
.62875
.62890
.62904
.04252
.04253
.04255
.04256
8.63754
.63769
.63784
.63798
.04340
.04342
.04343
.04345
8.64639
.64653
.64668
.64683
.04430
.04431
.04433
.04434
8.65514
.65529
.65543
.65558
.04520
.04522
.04523
.04525
8.66381
.66395
.66409
.66424
.04611
.04613
.04614
.04616
48
47
46
45
17
18
19
8.62919
.62934
.62949
.62964
.04258
.04259
.04261
.04262
8.63813
.63828
.63843
.63858
.04346
.04348
.04349
.04351
8.64697
.64712
.64727
.64741
.04436
.04437
.04439
.04440
8.65572
.65587
.65601
.65616
.04526
.04528
.04529
.04531
8.66438
.66453
.66467
.66481
.04617
.04619
.04620
.04622
44
43
42
41
+ 5'
21
22
23
8.62979
.62994
.63009
.63024
.04264
.04265
.04267
.04268
8.63872
.63887
.63902
.63917
.04352
.04354
.04355
.04357
8.64756
.64771
.64785
.64800
.04442
.04443
.04445
.04446
8.65630
.65645
.65659
.65674
.04532
.04534
.04535
.04537
8.66496
.66510
.66524
.66539
.04623
.04625
.04626
.04628
40
39
38
37
36
35
34
33
+ 6^
25
26
27
8.63039
.63054
.63069
.63084
.04270
.04271
.04273
.04274
8.63932
.63946
.63961
.63976
.04358
.04360
.04361
.04363
8.64815
.64829
.64844
.64859
.04448
.04449
.04451
.04452
8.65688
.65703
.65717
.65732
.04538
.04540
.04541
.04543
8.66553
.66567
.66582
.66596
.04629
.04631
.04633
.04634
+ r
29
30
31
8.63099
.63114
.63129
.63144
.04276
.04277
.04278
.04280
8.63991
.64006
.64020
.64035
.04364
.04366
.04367
.04369
8.64873
.64888
.64902
.64917
.04454
.04455
.04457
.04458
8.65746
.65761
.65775
.65790
.04544
.04546
.04547
.04549
8.66610
.66625
.66639
.66653
.04636
.04637
.04639
.04640
32
31
30
29
+ 8'
33
34
35
8.63159
.63174
.63189
.63204
.04281
.04283
.04284
.04286
8.64050
.64065
.64079
.64094
.04370
.04372
.04373
.04375
8.64932
.64946
.64961
.64976
.04460
.04461
.04463
.04464
8.65804
.65819
.65833
.65848
.04550
.04552
.04553
.04555
8.66668
.66682
.66696
.66710
.04642
.04643
.04645
.04646
28
27
26
25
+ 9"
37
38
39
8.63218
.63233
.63248
.63263
.04287
.04289
.04290
.04292
8.64109
.64124
.64139
.64153
.04376
.04378
.04379
.04381
8.64990
.65005
.65019
.65034
.04466
.04467
.04469
.04470
8.65862
.65876
.65891
.65905
.04556
.04558
.04559
.04561
8.66725
.66739
.66753
.66768
.04648
.04649
.04651
.04652
24
23
22
21
+ 10'
41
42
43
8.63278
.63293
.63308
.63323
.04293
.04295
.04296
.04298
8.64168
.64183
.64198
.64212
.04382
.04384
.04385
.04387
8.65049
.65063
.65078
.65092
.04472
.04473
.04475
.04476
8.65920
.65934
.65949
.65963
.04562
.04564
.04565
.04567
8.66782
.66796
.66811
.66825
.04654
.04655
.04657
.04659
20
19
18
17
+ u^
45
46
47
8.63338
.63353
.63368
.63382
.04299
.04301
.04302
.04304
8.64227
.64242
.64257
.64271
.04388
.04390
.04391
.04393
8.65107
.65122
.65136
.65151
.04478
.04479
.04481
.04482
8.65978
.65992
.66006
.66021
.04569
.04570
.04572
.04573
8.66839
.66853
.66868
.66882
.04660
.04662
.04663
.04665
16
15
14
13
+ ir
49
50
51
8.63397
.63412
.63427
.63442
.04305
.04306
.04308
.04309
8.64286
.64301
.64315
.64330
.04394
.04395
.04397
.04398
8.65165
.65180
.65194
.65209
.04484
.04485
.04487
.04488
8.66035
.66050
.66064
.66079
.04575
.04576
.04578
.04579
8.66896
.66911
.66925
.66939
.04666
.04668
.04669
.04671
12
11
10
9
8
7
6
5
+ 13'
53
54
55
8.63457
.63472
.63487
.63502
.04311
.04312
.04314
.04315
8.64345
.64360
.64374
.64389
.04400
.04401
.04403
.04404
8.65224
.65238
.65253
.65267
.04490
.04491
.04493
.04494
8.66093
.66107
.66122
.66136
.04581
.04582
.04584
.04585
8.66953
.66968
.66982
.66996
.04672
.04674
.04675
.04677
+ W
57
58
59
8.63516
.63531
.63546
.63561
.04317
.04318
.04320
.04321
8.64404
.64418
.64433
.64448
.04405
.04407
.04409
.04410
8.65282
.65296
.65311
.65325
.04496
.04497
.04499
.04500
8.66151
.66165
.66179
.66194
.04587
.04588
.04590
.04591
8.67010
.67025
.67039
.67053
.04678
.04680
.04682
.04683
4
3
2
1
+ 15'
8.63576
.04323
8.64463
.04412
8.65340
.04502
8.66208
.04593
8.67067
.04685
22'h' 24"*
22h 2 3m
22^ 22^
22h 21m
22 f^ 20"*
_
Page 64]
TABLE IV.
Haversines.
B
jh 40mZ5°B' 1
Ih^im
35° 15'
lh42m
85° 30'
Ih4,3m25°i5' |
Ih ^m
26° r
s
Log. nav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.67067
J67082
' .67096
.67110
.046S5
.04686
.04688
.04689
8.67918
.67932
.67946
.67960
.04777
.04779
.047S0
.04782
8.68760
.68773
.68787
.68801
.04871
.04872
.04874
.04875
8.69593
.69607
.69620
.69634
.04965
.04967
.04908
.04970
8.70418
.70431
.70445
.70459
.05060
.05062
.05063
.05065
60
59
58
57
+ r
5
6
7
8.67124
.67139
.67153
.67167
.04691
.04693
.04694
.04695
8.67974
.67988
.68002
.68016
.04783
.04785
.04787
.04788
8.68815
.68829
.68843
.68857
.04877
.04879
.04880
.04882
8.69648
.69662
.69676
.69690
.04971
.04973
.04975
.04976
8.70472
.70486
.70500
.70513
.05067
.05068
.05070
.05071
56
55
54
53
+ ^
9
10
11
8.67181
.67196
.67210
.67224
.04697
.04698
.04700
.04702
8.68030
.68045
.68059
.68073
.04790
.04791
.04793
.04794
8.68871
.68885
.68899
.68913
.04883
.04885
.04886
.04888
8.69703
.69717
.69731
.69745
.04978
.04979
.04981
.04983
8.70527
.70541
.70554
.70568
.05073
.05075
.05076
.05078
52
51
50
49
+ 3'
IS
14
15
8.67238
.67252
.67267
.67281
.04703
.04705
.04706
.04708
8.68087
.68101
.68115
.68129
.04796
.04797
.04799
.04801
8.68927
.68941
.68955
.68969
.04890
.04891
.04893
.04894
8.69758
.69772
.69786
.69800
.04984
.04986
.04987
.04989
8.70582
.70595
.70609
.70623
.05079
.05081
.05083
.05084
48
47
46
45
44
43
42
41
+ 4'
n
18
19
8.67295
.67309
.67323
.67338
.04709
.04711
.04712
.04714
8.68143
.68157
.68171
.68185
.04802
.04804
.04805
.04807
8.68983
.68996
.69010
.69024
.04896
.04897
.04899
.04901
8.69814
.69827
.69841
.69855
.04990
.04992
.04994
.04995
8.70636
.70650
.70664
.70677
.05086
.05087
.05089
.05091
+ 5'
21
22
23
8.67352
.67366
.67380
.67394
.04715
.04717
.04718
.04720
8.68199
.68213
.68227
.68241
.04808
.04810
.04811
.04813
8.69038
.69052
.69066
.69080
.04902
.04904
.04905
.04907
8.69869
.69882
.69896
.69910
.04997
.04998
.05000
.05001
8.70691
.70704
.70718
.70732
.05092
.05094
.05095
.05097
40
39
38
37
+ r
25
26
27
8.67409
.67423
.67437
.67451
.04722
.04723
.04725
.04726
8.68256
.68270
.68284
.68298
.04815
.04816
.04818
.04819
8.69094
.69108
.69122
.69136
.04908
.04910
.04912
.04913
8.69924
.69937
.69951
.69965
.05003
.05005
.05006
.05008
8.70745
.70759
.70773
.70786
.05099
.05100
.05102
.05104
36
35
34
33
32
3^1
30
29
28
27
26
25
+ r
29
30
31
8.67465
.67480
.67494
.67508
.04728
.04729
.04731
.04732
8.68312
.68326
.68340
.68354
.04821
.04823
.04824
.04825
8.69149
.69163'
.69177
.69191
.04915
.04916
.04918
.04919
8.69979
.69992
.70006
.70020
.05009
, .05011
.05013
.05014
8.70800
*.70813
*' .70827
.70841
.05105
.05107
.05108
.05110
+ 8'
33
34
35
8.67522
.67536
.67550
.67565
.047»4
.04735
.04737
.04739
8.68368
.68382
.68396
.68410
.04827
.04839
.04830
.04832
8.69205
.69219
.69233
.69247
.04921
.04923
.04934
.04926
8.70034
.70047
.70061
.70075
.05016
.05017
.05019
.05031
8.70854
.70868
.70881
.70895
.05111
.05113
.05115
.05116
+ 9^
57
38
39
8.67579
.67593
.67607
.67621
.04740
.04743
.04743
.04745
8.68424
.68438
.68452
.68466
.04833
.04835
.04836
.04838
8.69260
.69274
.69288
.69302
.04937
.04929
.04930
.04932
8.70089
.70102
.70116
.70130
.05033
.05034
.05035
.05037
8.70909
.70922
.70936
.70949
.05118
.05119
.05121
.05133
24
23
22
21
+ UK
42
43
8.67635
.67649
.67664
.67678
.04746
.04748
.04749
.04751
8.68480
.68494
.68508
.68522
.04839
.04841
.04843
.04844
8.69316
.69330
.69344
.69358
.04934
.04935
.04937
.04938
8.70144
.70157
.70171
.70185
.05028
.05030
.05032
.05033
8.70963
.70977
.70990
.71004
.05134
.05126
.05127
.05129
20
19
18
17
+ 11'
45
46
47
8.67692
.67706
.67720
.67734
.04752
.04754
.04756
.04757
8.68536
.68550
.68564
.68578
.04846
.04847
.04849
.04850
8.69371
.69385
.69399
.69413
.04940
.04941
.04943
.04945
8.70198
.70212
.70226
.70240
.05035
.05036
.05038
.05040
8.71017
.71031
.71045
.71058
.05131
.05133
.05134
.05135
16
15
U
IS
+ 12'
■49
50
51
8.67748
.67763
.67777
.67791
.04759
.04760
.04762
.04763
8.68592
.68606
.68620
.68634
.04852
.04854
.04855
.04857
8.69427
.69441
.69454
.69468
.04946
.04948
.04949
.04951
8.70253
.70267
..70281
.70294
.05041
.05043
.05044
,05046
8.71072
.71085
.71099
.71112
.05137
.05139
.05140
.05143
12
11
10
9
+ 13'
55
54
55
8.67805
.67819
.67833
.67847
.04765
.04766
.04768
.04769
8.68648
.68662
.68676
.68690
.04858
.04860
.04861
.04863
8.69482
.69496
.69510
.69524
.04953
.04954
.04956
.04957
8.70308
.70322
.70336
.70349
.05048
.05049
.05051
.05052
8.71126
.71140
.71153
.71167
.05144
.05145
.05147
.05148
8
7
6
5
+ U'
57
58
59
8.67861
.67875
.67890
.67904
.04771
.04773
.04774
.04776
8.68704
.68718
.68732
.68746
.04864
.04866
.04868
.04869
8.69537
.69551
.69565
.69579
.04959
.04960
.04963
.04964
8.70363
.70377
.70390
.70404
.05054
.05055
.05057
.05059
8.71180
.71194
.71207
.71221
.05150
.05153
.05153
.05155
4
3
2
1
+ 15'
8.67918
.04777
8.68760
.04871
8.69593
.04966
8.70418
.05080
8.71234
.05156
22^
igm
22^
ISm
22^
nm
2S^
l&m
22h ISm
TABLE IV. [Page 65
^Haversines.
s
lh45m 36° 15'
1^ 46rn 26° SC
Ih 47m 36° 45'
Ih 48m 2V C -
Ih 49m 370 15/
s
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
S.71234
.71248
.71261
.71275
.05156
.05158
.05160
.05161
8.72043
.72057
.72070
.72083
.05253
.05255
.05257
.05358
8.72844
.72857
.72871
.72884
.05351
.05353
.05354
.05356
8.73637
.73650
.73663
.73677
.05450
.05451
.05453
.05455
8.74423
.74436
.74449
.74462
.05549
.05551
.05552
.05554
60
59
58
51
+ r
5
6
1
8.71289
.71302
.71316
.71329
.05163
.05164
.05166
.05168
8.72097
.72110
.72124
.72137
.05360
.05261
.05263
.05265
8.72897
.72910
.72924
.72937
.05358
.05359
.05301
.05363
8.73690
.73703
.73716
.73729
.05456
.05458
.05460
.05461
8.74475
.74488
.74501
.74514
.05556
.05557
.05559
.05561
56
55
54
53
+ 3'
9
10
11
8.71343
.71356
.71370
.71383
.05169
.05171
.05173
.05174
8.72150
.72164
.72177
.72191
.05266
.05368
.05370
.05271
8.72950
.72963
.72977
.72990
.05364
.05366
.05367
.05369
8.73742
.73755
.73769
.73782
.05463
.05464
.05466
.05468
8.74527
.74540
.74553
.74566
.05562
.05564
.05566
.05567
52
51
50
49
48
41
46
45
44
43
42
41
+ 3'
13
14
15
8.71397
.71410
.71424
.71437
.05176
.05177
.05179
.05181
8.72204
.72217
.72231
.72244
.05273
.05274
.05276
.05278
8.73003
.73016
.73030
.73043
.05371
.05373
.05374
.05376
8.73795
.73808
.73821
.73834
.05470
.05471
.05473
.05474
8.74579
.74592
.74605
.74618
.05569
.05571
.05573
.05574
+ 4'
17
18
19
8.71451
.71464
.71478
.71491
.05182
.05184
.05185
.05187
8.72257
.72271
.72284
.72298
.05279
.05281
.05283
.05284
8.73056
.73069
.73083
.73096
.05377
.05379
.05381
.05383
8.73847
.73860
.73874
.73887
.05476
.05478
.05479
.05481
8.74631
.74644
.74657
.74670
.05576
.05577
.05579
.05581
+ 5'
21
22
23
8.71505
.71518
.71532
.71545
.05189
.05190
.05193
.05193
8.72311
.72324
.72338
.72351
.05386
.05287
.05289
.05291
8.73109
.73122
.73136
.73149
.05384
.05385
.05387
.05389
8.73900
.73913
.73926
.73939
.05483
.05484
.05486
.05488
8.74683
.74696
.74709
.74722
.05582
.05584
.05586
.05587
40
39
38
31
+ 6'
25
26
21
8.71559
.71572
.71586
.71599
.05195
.05197
.05198
.05200
8.72364
.72378
.72391
.72404
.05393
.05394
.05296
.05297
8.73162
.73175
.73189
.73202
.05390
.05392
.05394
.05395
8.73952
.73965
.73978
.73992
.05489
.05491
.05493
.05494
8.74735
.74748
.74761
.74774
.05589
.05591
.05593
.05594
36
35
34
33
+ r
29
SO
31
8.71613
.71626
.71640
.71653
.05201
.05203
.05205
.05206
8.72418
.72431
.72445
.72458
.05299
.05300
.05302
.05304
8.73215
.73228
.73241
.73255
.05397
.05399
.05400
.05402
8.74005
.74018
.74031
.74044
.05496
.05498
.05499
.05501
8.74787
.74800
.74813
.74826
.05596
.05597
.05599
.05601
32
31
30
29
+ 8'
S3
34
35
8.71667
.71680
.71694
.71707
.05208
.05210
.05211
.05213
8.72471
.72485
.72498
.72511
.05305
.05307
.05309
.05310
8.73268
.73281
.73294
.73308
.05404
.05405
.05407
.05408
8.74057
.74070
.74083
.74096
.05503
.05504
.05506
.05508
8.74839
.74852
.74864
.74877
.05603
.05604
.05606
.05607
28
21
26
25
+ 9^
31
38
39
8.71721
.71734
.71748
.71761
.05214
.05216
.05218
.05319
8.72525
.72538
.72551
.72565
.05313
.05314
.05315
.05317
8.73321
.73334
.73347
.73360
.05410
.05412
' .05413
.05415
8.74109
.74122
.74135
.74149
.05509
.05511
.05513*
.05514
8.74890
.74903
.74916
.74929
.05609
.05611
.05613
.05614
24
23
22
21
+ 1(K
41
42
43
8.71774
.71788
.71801
.71815
.05221
.05222
.05224
.05226
8.72578
.72591
.72605
.72618
.05318
.05320
.05322
.05323
8.73374
.73387
.73400
.73413
.05417
.05418
.05420
.05423
8.74162
.74175
.74188
.74201
.05516
.05518
.05519
.05521
8.74942
.74955
.74968
.74981
.05616
.05618
.05619
.05621
20
19
18
11
+ ir
45
46
41
8.71828
.71842
.71855
.71869
.05327
.05229
.05231
.05332
8.72631
.72644
.72658
.72671
.05325
.05326
i .05338
.05330
8.73426
.73440
.73453
.73466
.05433
.05425
.05427
.05428
8.74214
.74227
.74240
■ .74253
.05523
.05534
.05536
.05528
8.74994
.75007
.75020
.75033
.05623
.05624
.05626
.05638
16
15
14
13
+ 12'
49
60
51
8.71882
.71895
.71909
.71922
.05234
.05335
.05237
.05239
8.72684
.72698
.72711
.72724
.05331
.05333
» .05335
^ .05336
8.73479
.73492
i.73505
^73519
.05430
.05431
.05433
.05435
8.74266
-.74279
.74292
.74305
.05529
.05531
.05533
.05534
8.75046
.75059
.75072
.75084
.05639
.05631
.05633
.05634
12
11
10
9
+ 13'
53
54
55
8.71936
.71949
.71963
.71976
,05340
.05343
.05344
.05345
8.72738
.72751
.72764
.72778
.0.5338
.05340
.05341
.05343
8.73532
, .73545
.73558
.73571
.05436
.05438
.05440
.05441
8.74318
.74331
.74344
.74357
.05536
.05537
.05539
.05541
8.75097
.75110
.75123
.75136
.05636
.05638
.05639
.05641
8
7
6
5
+ w
57
58
59
8.71989
.72003
.72016
.72030
.05347
.05348
.05250
.05353
8.72791
.72804
.72817
.72831
.05345
.05346
.05348
.05349
8.73584
.73598
.73611
.73624
.05443
.05445
.05446
.05448
8.74371
.74384
.74397
.74410
.05542
.05544
.05546
.05547
8.75149
.75162
.75175
.75188
.05643
.05644
.05646
.05648
4
3
2
1
+ 15'
8.72043
.05353
8.72844
.05351
8.73637
.05450
8.74423
.05549
8.75201
.05649
22h 14m 1
22h JSm
• 22^ 12™'
22^ llm 1
22h 10^
55901°— 18-
Page 66] TABLE IV.
Haversines.
s
2 A 5(9« 27o W
Ih 5im 27° 45'
Ih 52rn' 28° C
Ih 5Sm 28° 15'
Ih 54"" 28° 30'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.75201
.75214
.75227
.75239
.05649
.05651
.05653
.05655
8.75972
.75984
.75997
.76010
.05751
.05752
.05754
.05756
8.76735
.76748
.76760
.76773
.05853
.05854
.05856
.05858
8.77492
.77504
.77517
.77529
.05955
.05957
.05959
.05961
8.78241
.78254
.78266
.78278
.06059
.06061
.06063
.06064
60
59
58
57
+ r
5
6
7
8.75252
.75265
.75278
.75291
.05656
.0565S
.05660
.05661
8.76023
.76035
.76048
.76061
.05757
.05759
.05761
.05762
8.76786
.76798
76811
.76824
.05859
.05861
.05863
.05865
8.77542
.77554
.77567
.77579
.05962
.05964
.05966
.05968
8.78291
.78303
.78310
.78328
.06066
.06088
.06070
.06071
56
55
54
53
+ 3'
9
10
11
8.75304
.75317
.75330
.75343
.05663
.05665
.05666
.05668
8.76074
.76086
.76099
.76112
.05764
.05766
.05768
.05769
8.76836
.76849
.76862
.76874
.05866
.05868
.05870
.05871
8.77592
.77604
.77617
.77630
.05969
.05971
.05973
.05974
8.78341
.78353
.78365
.78378
.06073
.06075
.06077
.06078
52
51
50
49
+ 3'
IS
14
15
8.75355
.75368
.75381
.75394
.05670
.05671
.05673
.05675
8.76125
.76138
.76150
.76163
.05771
.05773
.05774
.05776
8.76887
.76900
.76912
.76925
.05873
.05875
.05877
.05878
8.77642
.77655
.77667
.77680
.05976
.05978
.05980
.05981
8.78390
.78403
.78415
.78428
.06080
.06082
.06083
.08085
48
47
46
45
+ 4'
17
18
19
8.75407
.75420
.75433
.75446
.05676
.05678
.05680
.05681
8.76176
.76189
.76201
.76214
.05778
.05779
.05781
.05783
8.76938
.76950
.76963
.76975
.05880
.05882
.05883
.05885
8.77692
.77705
.77717
.77730
.05983
.05985
.05986
.05988
8.78440
.78452
.78465
.78477
.06087
.06089
.06090
.96092
44
43
42
41
+ 6'
21
22
23
8.75458
.75471
.75484
.75497
.05683
.05685
.05686
.05688
8.76227
.76240
.76252
.76265
.05785
.05786
.05788
.05790
8.76988
.77001
.77013
.77026
.05887
.05888
.05890
.05892
8.77742
.77755
.77767
.77780
.05990
.05992
.05993
.05995
8.78490
.78502
.78514
.78527
.06094
.08096
.06097
.08099
40
39
38
37
+ 6'
25
26
27
8.75510
.75523
.75536
.75548
.05690
.05691
.05693
.05695
8.76278
.76291
.76303
.76316
.05791
.05793
.05795
.05796
8.77039
.77051
.77064
.77076
.05894
.05895
.05897
.05899
8.77792
.77805
.77817
.77830
.05997
.05999
.06000
.06002
8.78539
.78551
.78564
.78576
.06101
.06103
.06104
.06106
36
35
34
33
+ r
29
SO
31
8.75561
.75574
.75587
.75600
.05697
.05698
.05700
.05702
8.76329
.76341
.76354
.76367
.05798
.05800
.05802
.05803
8.77089
.77102
.77114
.77127
.05901
.05902
.05904
.05906
8.77842
.77855
.77867
.77880
.06004
.06005
.06007
.06009
8.78589
.78601
.78613
.78626
.06108
.06110
.06111
.06113
32
31
30
29
+ 8'
33
34
35
8.75613
.75626
.75638
.75651
.05703
.05705
.05707
.05708
8.76380
.76392
.76405
.76418
.05805
.05807
.05808
.05810
8.77139
.77152
.77165
.77177
.05907
.05909
.05911
.05913
8.77892
.77905
.77917
.77930
.06011
.08013
.06014
.06016
8.78638
.78651
.78663
.78675
.06115
.06117
.06118
.06120
28
27
26
25
24
23
22
21
20
19
18
17
+ 9^
37
38
39
8.75664
.75677
.75690
.75703
.05710
.05712
.05713
.05715
8.76431
.76443
.76456
.76469
.05812
.05813
.05815
.05817
8.77190
.77202
.77215
.77228
.05914
.05916
.05918
.05919
8.77942
.77955
.77967
.77980
.08018
.06019
.06021
.06023
8.78(i88
.78700
.78712
.78725
.06122
.06124
.06125
.06127
+ 1(K
41
42
45
8.75715
.75728
.75741
.75754
.05717
.05718
.05720
.05722
8.76481
.76494
.76507
.76519
.05819
.05820
.05822
.05824
8.77240
.77253
.77265
.77278
.05921
.05923
.05925
.05926
8.77992
.78005
.78017
.78029
.06024
.08026
.06028
.06030
8.78737
.78749
.78762
.78774
.06129
.06130
.06132
.06134
+ 11'
45
46
47
8.75767
.75779
.75792
.75805
.05724
.05725
.05727
.05729
8.76532
.76545
.76558
.76570
.05825
.05837
.05829
.05830
8.77291
.77303
.77316
.77328
.05928
.05930
.05931
.05933
8.78042
.78054
.78067
.78079
.06031
.06033
.08035
.06037
8.78787
.78799
.78811
.78824
.06136
.06137
.06139
.06141
16
15
14
13
12
11
10
9
+ 12'
50
5i
8.75818
.75831
.75844
.75856
.05730
.05732
.05734
.05735
8.76583
.76596
.76608
.76621
.05832
.05834
.05836
.05837
8.77341
.77353
.77306
.77379
.05935
.05936
.05938
.05940
8.78092
.78104
.78117
.78129
.06038
.06040
.06042
.06044
8.78836
.78848
.78861
.78873
.06143
.06144
.06146
.06148
+ 13'
55
54
55
8.75869
.75882
.75895
.75908
.05737
.05739
.05740
.05742
8.76634
.76646
.76659
.76672
.05839
.05841
.05842
.05844
8.77391
.77404
.77416
.77429
.05942
.05943
.05945
.05947
8.78142
.78154
.78167
.78179
.06045
.06047
.06049
.06050
8.78885
.78898
.78910
.78922
8.78935
.78947
.78959
.78972
.06150
.06151
.06153
.06155
8
7
6
5
+ 14'
57
55
59
8.75920
.75933
.75946
.75959
.05744
.05745
.05747
.05749
8.76684
.76697
.76710
.76722
.05846
.05847
.05849
.05851
8.77441
.77454
.77466
.77479
.05949
.05950
.05952
.05954
8.78191
.78204
.78216
.78229
.06052
.06054
.06056
.06057
.06157
.06158
.08160
.06162
4
3
2
1
+ 15'
8.75972
.05751
8.76735
.05853
8.77492
.05955
8.78241
.06059
8.78984
.06184
22^ 9m
22h Sm
22h7m
22h6m
ff ft 5m
TABLE IV. [Page 67
Haversines.
s
iA 55^28° 45'
Ih 56m 29° 0'
^^1.57^39° 15'
Ih SSm 39° 30'
Ih 59^29° 45'
s
Log. Ilav.
Nat. Ilav.
Log. nav.
Nat. Ilav.
Log. Ilav.
Nat. Uav.
Log. Uav
Nat. nav.
Log. Ilav.
Nat. Ilav.
1
2
3
8.78984
.78996
.79009
.79021
.06164
.06165
.06167
.06169
8.79720
.79732
.79744
. .79757
.06369
.06371
.06373
.06374
8.80449
.80462
.80474
.80486
.06375
.06377
.06379
.06381
8.81172
.81184
.81196
.81208
.06482
.06484
.06488
.06488
8.81889
.81901
.8-1913
.81925
.06590
.08592
.06594
.06595
60
59
58
57
+ r
5
6
7
8.79033
.79046
.79058
.79070
.06171
.06173
.06174
.06176
8.79769
.79781
.79793
.79805
.06376
.06378
.06380
.06381
8.80498
.80510
.80522
.80534
.06383
.06384
.06386
.06388
8.81220
.81232
.81244
.81256
.06489
.06491
.08493
.06495
8.81937
.81948
.81960
.81972
.08597
.08599
.06601
.06603
56
55
54
53
+ V
9
10
11
8.79082
.79095
.79107
.79119
.06178
.06179
.06181
.06183
8.79818
.79830
.79842
.79854
.06383
.06385
.06387
.06388
8.80546
.80558
.80570
.80582
.08389
.06391
.06393
.06395
8.81268
.81280
.81292
.81304
.06497
.06498
.06500
.08502
8.81984
.81996
.82008
.82020
.06805
.08808
.06808
.06610
52
51
50
49
+ 3'
IS
14
15
8.79132
.79144
.79156
.79169
.06185
.06186
.06188
.06190
8.79866
.79879
.79891
.79903
.06390
.06393
.06394
.06395
8.80595
,80607
.80619
_. 80631
.06397
.06398
.06400
.06402
8.81316
.81328
.81340
.81352
.06504
.06505
.06507
.06509
8.82032
.82043
.82055
.82067
.06612
.06614
.08815
.06617
48
47
46
45
+ ^'
17
18
19
8.79181
.79193
.79205
.79218
.06193
.06193
.06195
.06197
8.79915
.79927
.79940
.79952
.06397
.06399
.06301
.06303
8.80643
.80655
.80667
.80679
^06404
.06405
.06407
.06409
8.81364
.81376
.81388
.81400
.06511
.06513
.06514
.08516
8.82079
.82091
.82103
.82115
.06619
.06621
.06623
.06634
44
43
42
41
+ ^
21
22
23
8.79230
.79242
.79255
.79267
.06199
.06300
.06203
.06304
8.79964
.79976
.79988
.80000
.06304
.06306
.06308
.06310
8.80691
.80703
.80715
.80727
.06411
.06413
.06414
.06416
8.81412
.81424
.81436
.81448
.08518
.06530
.06533
.06533
8.82126
.82138
.82150
.82162
.06636
.06628
.06630
.08633
40
39
38
37
+ ^
25
26
27
8.79279
.79291
.79304
.79316
.06306
.06307
.06309
.06311
8.80013
.80025
.80037
.80049
.06311
.06313
.06315
.06317
8.80739
.80751
.80764
.80776
.06418
.06420
.06421
.06433
8.81460
.81^72
.81484
.81496
.06535
.08527
.06539
.08531
8.82174
.82186
.82198
.82209
.08633
.06635
.06637
.06639
36
35
34
33
+ r
29
30
-31
8.79328
.79341
.79353
.79365
.06313
.06314
.06316
.06318
8.80061
.80073
.80086
.80098
.06318
.06330
.06333
.06334
8.80788
.80800
.80812
.80824
.06435
:06437
w06429
.08430
8.81508
.81520
.81531
.81543
.06533
.06534
.06538
.06538
8.82221
.82233
.82245
.82257
.08841
.06643
.08844
.06648
32
31
30
29
+ 8^
S3
34
35
8.79377
.79390
.79402
.79414
.06330
.06331
.06223
.06335
8.80110
.80122
.80134
.80146
.06336
.06327
.06329
.06331.
8.80836
.80848
.80860
.80872
.06433
.06434
.08436
.08438
8.81555
.81567
.81579
.81591
.06540
.06541
.06543
.06545
8.82269
.82280
.82292
.82304
.06648
.06850
.08653
.08653
28
27
26
25
+ 9^
37
38
39
8.79426
.79439
.79451
.79463
.06337
.06339
.06330
.06233
8.80158
.80171
.80183
.80195
.06333
.06334
.06336
.06338
8.80884
.80896
.80908
.80920
.08439
.08441
.08443
.06445
8.81603
.81615
.81627
.81639
.06547
.06549
.08550
.06553
8.82316
.82328
.82340
.82351
.08655
.08857
.08859
.06681
24
23
22
21
+ ir
41
42
43
8.79475
.79488
.79500
.79512
.06334
.06336
.06337
.06339
8.80207
.80219
.80231
.80243
.06340
.06341
.06343
.06345
8.80932
.80944
.80956
.80968
.06446
.06448
.06450
.06453
8.81651
.81663
.81675
.81687
.06554
.06558
.06558
.08559
8.82363
.82375
.82387
.82399
.06663
.06884
.06686
.08668
20
19
18
17
+ 11'
45
46
47
8.79524
.79537
.79549
.79561
.06341
.06343
.08344
.06346
8.80256
.80268
.80280
.80292
.06347
.06349
.06350
.06353
8.80980
.80992
.81004
.81016
.06454
.06455
.06457
.06459
8.81699
.81710
.81722
.81734
.06561
.06563
.06565
.06567
8.82410
.82422
.82434
.82446
.06670
.08871
.08673
.08675
16
15
U
13
+ ir
49
50
51
8.79573
.79586
.79598
.79610
.06348
.06350
.06351
.06353
8.80304
.80316
.80328
.80340
.06354
.06356
.06357
.06359
8.81028
.81040
.81052
.81064
.08481
.08463
.06464
.06468
8.81746
.81758
.81770
.81782
.06568
.06570
.06573
.06574
8.82458
.82470
.82481
.82493
.08677
.06879
.08681
.06682
12
11
10
9
+ 13'
53
54
55
8.79622
.79634
.79647
.79659
.06355
.06357
.06358
.06360
8.80353
.80365
.80377
.80389
.06361
.06363
.06365
.06386
8.81076
.81088
.81100
.81112
.06468
.06470
.06471
.06473
8.81794
.81806
.81818
.81830
.06576
.06577
.06529
.06581
8.82505
.82517
.82529
.82540
.08684
.06688
.06888
.06690
8
7
6
5
+ 14'
57
68
59
8.79671
.79683
.79696
.79708
.06363
.06364
.06365
.06367
8.80401
.80413
.80425
.80437
.06368
.06370
.06373
.06373
8.81124
.81136
.81148
.81160
.06475
.06477
.06479
.06480
8.81841
.81853
.81865
.81877
.06583
.06585
.08586
.08588
8.82552
.82564
.82576
.82588
.08691
.08893
.06895
.06697
4
3
2
1
+ 15'
8.79720
.06369
8.80449
.06375
8.81172
.06483
8.81889
.06590
8.82599
.08899
22^ 4m
22^1' Sm
22}'' jgw 1
22^^ im
22h (ym. 1
Page 68] TABLE IV.
Haversinea.
s
2h Orn 30° (K 1
^h im 30° 15' 1
Oh 2m 30° 30'
2^ Sm 30° 45'
2h 4"» 31° 0' 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Kav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.82599
.82611
.82623
.82635
.06699
.06701
.06703
.06701
8.83303
.83315
.83327
.83338
.06808
.06810
.06813
.06814
8.84002
.84013
.84025
.84036
.06919
.06920
.06923
.06934
8.84694
.84705
.84717
.84728
.07030
.07032
.07033
.07035
8.85380
.85391
.85403
.85414
.07143
.07144
.07145
.07147
60
59
58
57
+ r
5
6
7
8.82646
.82658
.82670
.82682
.06706
.06708
.06710
.06711
8.83350
.83362
.83374
.83385
.06816
.06817
.06819
.06831
8.84048
.84059
.84071
.84083
.06936
.06938
.06930
.06931
8.84740
.84751
.84762
.84774
.07037
.07039
.07041
.07043
8.85425
.85437
.85448
.85459
.07149
.07151
.07153
.07155
56
55
54
53
+ V
9
10
11
8.82694
.82705
.82717
.82729
.06713
.06715
.06717
.06719
8.83397
.83409
.83420
.83432
.06823
.06825
.06826
.06838
8.84094
.84106
.84117
.84129
.06933
.06935
.06937
.06939
8.84785
.84797
.84808
.84820
.07045
.07046
.07048
.07050
8.85471
.85482
.85494
.85505
.07157
.07158
.07160
.07162
52
51
50
49
+ 3'
13
14
15
8.82741
.82752
.82764
.82776
.06731
.06723
.06731
.06736
8.83444
.83455
.83467
.83479
.06830
.06833
.06834
.06836
8.84140
.84152
.84164
.84175
.06941
.06943
.06944
.06946
8.84831
.84843
.84854
.84866
.07053
.07054
.07056
.07058
8.85516
.85528
.85539
.85550
.07164
.07166
.07168
.07170
48
47
46
45
44
43
42
41
+ 4^
17
18
19
8.82788
.82799
.82811
.82823
8.82835
.82846
.82858
.82870
.06728
.06730
.06731
.06733
8.83490
.83502
.83513
.83525
.06838
.06839
.06841
.06843
8.84187
.84198
.84210
.84221
.06948
.06950
.06952
.06954
8.84877
.84889
.84900
.84912
.07059
.07061
.07063
.07065
8.85562
.85573
.85585
.85596
.07172
.07173
.07175
.07177
+ 5^
21
22
23
.06735
.06737
.06739
.06741
8.83537
.83548
.83560
.83572
.06845
.06847
.06849
.06850
8.84233
.84244
.84256
.84268
.06956
.06957
.06959
.06961
8.84923
.84934
.84946
.84957
.07067
.07069
.07071
.07073
8.85607
.85619
.85630
.85641
.07179
.07181
.07183
.07185
40
39
38
37
+ 6'
25
26
27
8.82882
.82893
.82905
.82917
.06743
.06744
.06746
.06748
8.83583
.83595
.83607
.83618
.06852
.06854
.06856
.06858
8.84279
.84291
.84302
.84314
.06963
.06965
.06967
.06968
8.84969
.84980
.84992
.85003
.07074
.07076
.07078
.07080
8.85653
.85664
.85675
.85687
.07187
.07189
.07190
.07192
36
35
34
33
+ r
29
30
31
8.82929
.82940
.82952
.82964
.06750
.06753
.06753
.06755
8.83630
.83642
.83653
.83665
.06860
.06861
.06863
.06865
8.84325
.84337
.84348
.84360
.06970
.06972
.06974
.06976
8.85015
.85026
.85037
.85049
.07083
.07084
.07086
.07087
8.85698
.85709
.85721
.85732
.07194
.07196
.07198
.07300
32
31
30
29
+ 8'
33
24
35
8.82976
.82987
.82999
.83011
.06757
.06759
.06761
.06763
8.83676
.83688
.83700
.83711
.06867
.06869
.06871
.06873
8.84371
.84383
.84394
.84406
.06978
.06980
.06981
.06983
8.85060
.85072
.85083
.85095
.07089
.07091
.07093
.07095
8.85743
.85755
\85766
.85777
.07303
.07304
.07305
.07307
28
27
26
25
+ 9^
57
SB
39
8.83023
.83034
.83046
.83058
.06764
.06766
.06788
.06770
8.83723
.83735
.83746
.83758
.06874
.06876
.06878
.06880
8.84417
.84429
.84441
.84452
.06985
.06987
.06989
.06991
8.85106
.85117
.85129
.85140
.07097
.07099
.07100
.07103
8.85789
.85800
.85811
.85823
.07309
.07311
.07313
.07315
24
23
22
21
+ W
41
42
43
8.83069
.83081
.83093
.83105
.06772
.06773
.06775
.06777
8.83769
.83781
.83793
.83804
.06883
.06884
.06885
.06887
8.84464
.84475
.84487
.84498
.06993
.06994
.06996
.06998
8.85152
.85163
.85175
.85186
.07104
.07106
.07108
.07110
8.85834
.85845
.85857
.85868
.07217
.07219
.07230
.07223
20
19
18
17
+ ir
45
46
47
8.83116
.83128
.83140
.83151
.06779
.06781
.06783
.06784
8.83816
.83828
.83839
.83851
.06889
.06891
.06893
.06895
8.84510
.84521
.84533
.84544
.07000
.07003
.07004
.07006
8.85197
.85209
.85220
.85232
.07112
.07114
.07115
.07117
8.85879
.85891
.85902
.85913
.07234
.07236
.07228
.07230
16
15
14
13
+ 13'
49
50
51
8.83163
.83175
.83187
.83198
.06786
.06788
.06790
.06793
8.83862
.83874
.83886
.83897
.06896
.06898
.06909
.06903
8.84556
.84567
.84579
.84590
.07007
.07009
.07011
.07013
8.85243
.85254
.85266
.85277
.07119
.07121
.07123
.07135
8.85925
.85936
.85947
.85959
.07232
.07234
.07236
.07237
12
11
10
9
+ 13'
53
54
55
8.83210
.83222
.83233
.83245
.06794
.06795
.06797
.06799
8.83909
.83920
.83932
.83944
.06904
.06906
.06907
.06909
8.84602
.84613
.84625
.84636
.07015
.07017
.07019
.07020
8.85289
.85300
.85311
.85323
.07137
.07139
.07130
.07133
8.85970
.85981
.85992
.86004
.07339
.07341
.07343
.07345
8
7
6
5
+ 14'
57
59
8.83257
.83268
.83280
.83292
.06801
.06803
.06805
.06806
8.83955
.83967
.83978
.83990
.06911
.06913
.06915
.06917
8.84648
.84659
.84671
.84682
.07033
.07024
.07026
.07028
8.85334
.85346
.85357
.85368
.07134
.07136
.07138
.07140
8.86015
.86026
.86038
.86049
.07347
.07349
.07351
.07253
4
3
2
1
+ 15'
8.83303
.06808
8.84002
.06919
8.84694
.07030
8.85380
.07143
8.86060
.07254
21^ 59m
21h58m
21h57m
21^ 56m
21h 55m
TABLE IV. [Page 69
Haversjnes.
s
2h jm 31° 15'
2^ 6"» 31° 30'
2h 7m 310 45/
f A 5m 32° C
2h gm 33° 15'
8
Log. Hav
Nat. Hav
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. llav
Log. Hav.
Nat. Hav.
1
2
S
8.86060
.86072
.86085
.86094
.07254
.07256
.07258
.07260
8.86735
.86746
.86757
.86769
.07368
.07370
.07372
.07374
8.87404
.87415
.87426
.87437
.07482
.07484
.07486
.07488
8.88068
.88079
.88090
.88101
.07598
.07600
.07601
.07603
8.88726
.88737
.88748
.88759
.07714
.07716
.07717
.07719
60
59
58
57
5
6
7
8.86105
.86117
.86128
.86139
.07262
.07264
.07266
.07268
8.86780
.86791
.86802
.86813
.07376
.07377
.07379
.07381
8.87448
.87460
.87471
.87482
.07490
.07492
.07494
.07496
8.88112
.88123
.88134
.88145
.07605
.07607
.07609
.07611
8.88769
.88780
.88791
.88802
.07721
.07723
.07725
.07727
66
55
54
63
+ r
9
10
11
8.86151
.86162
.86173
.86184
.07270
.07271
.07273
.07275
8.86825
.86836
.86847
.86858
.07383
.07385
.07387
.07389
8.87493
.87504
.87515
.87526
.07498
.07500
.07502
.07503
8.88156
.88167
.88178
.88189
.07613
.07615
.07617
.07619
8.88813
.88824
.88835
.88846
.07729
.07731
.07733
.07735
52
51
60
49
+ 3'
IS
14
15
8.86196
.86207
.86218
.86229
.07277
.07279
.07281
.07283
8.86869
.86880
.86892
.86903
.07391
.07393
.07395
.07397
8.87537
.87548
.87559
.87570
.07505
.07507
.07509
.07511
8.88200
.88211
.88222
.88233
.07621
.07623
.07625
.07627
8.88857
.88868
.88879
.88890
.07737
.07739
.07741
.07743
48
47
46
45
+ 4'
17
18
19
8.86241
.86252
.86263
.86275
.07285
.07287
.07288
.07290
8.86914
.86925
.86936
.86947
.07398
.07400
.07402
.07404
8.87582
.87593
.87604
.87615
.07513
.07515
.07517
.07519
8.88244
.88255
.88266
.88277
.07628
.07630
.07632
.07634
8.88900
.88911
.88922
.88933
.07745
.07747
.07749
.07751
44
43
42
41
+ 5'
21
22
2S
8.86286
.86297
.86308
.86320
.07292
.07294
.07296
.07298
8.86959
.86970
.86981
.86992
.07406
.07408
.07410
.07412
8.87626
.87637
.87648
.87659
.07521
.07523
.07525
.07527
8.88288
.88299
.88310
.88321
.07636
.07638
.07640
.07642
8.88944
.88955
.88966
.88977
.07752
.07754
.07756
.07758
40
39
38
37
+ 6'
25
26
27
8.86331
.86342
.86353
.86365
.07300
.07302
.07304
.07305
8.87003
.87014
.87026
.87037
.07414
.07416
.07417
.07419
8.87670
.87681
.87692
.87703
.07528
.07530
.07532
.07534
8.88332
.88343
.88354
.88364
.07644
.07646
.07648
.07650
8.88988
.88998
.89009
.89020
.07760
.07762
.07764
.07766
36
35
34
33
+ r
29
SO
SI
8.86376
.86387
.86398
.86410
.07307
.07309
.07311
.07323
8.87048
.87059
.87070
.87081
.07421
.07423
.07425
.07427
8.87714
.87725
.87737
.87748
.07536
.07538
.07540
.07542
8.88375
.88386
.88397
.88408
.07652
.07654
.07656
.07657
8.89031
.89042
.89053
.89064
.07768
.07770
.07772
.07774
32
31
30
29
+ 8'
ss
S4
35
8.86421
.86432
.86443
.86455
.07315
.07317
.07319
.07321
8.87093
.87104
.87115
.87126
.07429
.07431
.07433
.07435
8.87759
.87770
.87781
.87792
.07544
.07546
.07548
.07549
8.88419
.88430
.88441
.88452
.07659
.07661
.07663
.07665
8.89075
.89086
.89096
.89107
.07776
.07778
.07780
.07782
28
27
26
25
+ 9'
S7
S8
S9
8.86466
.86477
.86488
.86499
.07322
.07324
.07326
.07328
8.87137
.87148
.87159
.87171
.07437
.07438
.07440
.07442
8.87803
.87814
.87825
.87836
.07551
.07553
.07555
.07557
8.88463
.88474
.88485
.88496
.07667
.07669
.07671
.07673
8.89118
.89129
.89140
.89151
.07784
.07786
.07788
.07789
24
23
22
21
+ 10'
41
42
43
8.86511
.86522
.86533
.86544
.07330
.07332
.07334
.07336
8.87182
.87193
.87204
.87215
.07444
.07446
.07448
.07450
8.87847
.87858
.87869
.87880
.07559
.07561
.07563
.07565
8.88507
.88518
.88529
.88540
.07675
.07677
.07679
.07681
8.89162
.89172
.89183
.89194
.07791
.07793
.07795
.07797
20
19
18
17
16
15
14
13
+ 11'
46
46
47
8.86556
.86567
.86578
.86589
.07338
.07340
.07341
.07343
8.87226
.87237
.87248
.87260
.07452
.07454
.07456
.07458
8.87891
.87902
.87913
.87924
.07567
.07569
.07571
.07573
8.88551
.88562
.88573
.88584
.07683
.07685
.07686
.07688
8.89205
.89216
.89227
.89238
.07799
.07801
.07803
.07805
+ 12'
49
50
51
8.86600
.86611
.86623
.86634
.07345
.07347
.07349
.07351
8.87271
.87282
.87293
.87304
.07459
.07461
.07463
.07465
8.87935
.87946
.87957
.87968
.07574
.07576
.07578
.07580
8.88595
.88606
.88616
.88627
.07690
.07692
.07694
.07696
8.89248
.89259
.89270
.89281
.07807
.07809
.07811
.07813
12
11
10
9
8
7
6
5
+ 13'
5S
54
55
8.86645
.86657
.86668
.86679
.07353
.07355
.07357
.07359
8.87315
.87326
.87337
.87349
.07467
.07469
.07471
.07473
8.87980
.87991
.88002
.88013
.07582
.07584
.07586
.07588
8.88638
.88649
.88660
.88671
.07698
.07700
.07702
.07704
8.89292
.89303
.89314
.89324
.07815
.07817
.07819
.07831
+ 14'
57
58
59
8.86690
.86701
.86713
.86724
.07360
.07362
.07364
.07366
8.87360
.87371
.87382
.87393
.07475
.07477
.07479
.07480
8.88024
.88035
.88046
.88057
.07590
.07592
.07594
.07596
8.88682
.88693
.88704
.88715
.07706
.07708
.07710
.07712
8.89335
.89346
.89357
.89368
.07823
.07825
.07827
.07829
4
3
2
"1
+ W
8.86735
.07368
8.87404
.07482
8.88068
.07598
8.88726
.07714
8.89379
.07830
21h 54'^ 1
2lT^5Sm
21h S2m
21hsim
Sih 50m
Page 70] TABLE IV.
Havereines.
s
2hl0mZZ°S(/ 1
^AiJn»32°45' 1
^A 12^ 33° 0' 1
2h 13m 33' 15'
2h 14m s^oZO" 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav. Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.89379
.89389
.89400
.89411
.07830
.07833
.07834
.07836
8.90026
.90037
.90048
.90058
.07948
.07950
.07953
.07954
8.90668
.90679
.90690
.90700
.08066
.08068
.08070
.08073
8.91306
.91316
.91327
.91337
.08186
.08188
.08190
.08193
8.91938
.91948
.91959
.91969
.08306
.08308
.08310
.08312
60
59
58
57
+ r
5
6
7
8.89422
.89433
.89444
.89454
.07838
.07840
.07842
.07844
8.90069
.90080
.90091
.90101
.07956
.07958
.07960
.07962
8.90711
.90722
.90732
.90743
.08074
.08076
.08078
.08080
8.91348
.91358
.91369
.91380
.08194
.08196
.08198
.08300
8.91980
.91990
.92001
.92011
.08314
.08316
.08318
.08330
56
55
54
S3
+ 2'
9
10
11
8.89465
.89476
.89487
.89498
.07846
.07848
.07850
.07852
8.90112
.90123
.90134
.90144
.07964
.07966
.07968
.07970
8.90754
.90764
.90775
.90786
.08083
.08084
.08088
.08088
8.91390
.91401
.91411
.91422
.08203
.08304
.08306
.08308
8.92022
.92032
.92043
.92053
.08323
.08324
.08336
.08328
52
51
50
49
48
47
46
45
44
43
42
41
+ 3'
13
14
15
8.89509
.89519
.89530
.89541
.07854
.07856
.07858
.07860
8.90155
.90166
.90176
.90187
.07973
.07974
.07976
.07978
8.90796
.90807
.90818
.90828
.08090
.08093
.08094
.08096
8.91432
.91443
.91454
.91464
.08310
.08313
.08314
.08316
8.92064
.92074
.92084
.92095
.08330
.08332
.08334
.08336
+ 4'
17
18
19
8.89552
.89563
.89573
.89584
.07862
.07864
.07866
.07868
8.90198
.90209
.90219
.90230
.07980
.07983
.07983
.07985
8.90839
.90849
.90860
.90871
.08098
.08100
.08103
.08104
8.91475
.91485
.91496
.91506
.08318
.08330
.08333
.08334
8.92105
.92116
.92126
.92137
.08338
.08340
.08342
.08344
+ 5'
21
22
23
8.89595
.89606
.89617
.89627
.07870
.07873
.07873
.07875
8.90241
.90252
.90262
.90273
.07987
.07989
.07991
.07993
8.90881
.90892
.90903
.90913
.08106
.08108
.08110
.08113
8.91517
.91527
.91538
.91549
.08336
.08338
.08330
.08333
8.92147
.92158
.92168
.92179
.08346
.08348
.08350
.08353
40
39
38
37
+ 6'
25
26
27
8.89638
.89649
.89660
.89671
.07877
.07879
.07881
.07883
8.90284
.90294
.90305
.90316
.07995
.07997
.07999
.08001
8.90924
.90935
.90945
.90956
.08114
.08116
.08118
.08130
8.91559
.91570
.91580
.91591
.08334
.08336
.08338
.08340
8.92189
.92200
.92210
.92221
.08354
.08356
.08358
.08360
36
35
34
33
+ r
29
30
31
8.89681
.89692
.89703
.89714
.07885
.07887
.07889
.07891
8.90326
.90337
.90348
.90359
.08003
.08005
.08007
.08009
8.90966
.90977
.90988
.90998
.08133
.08134
.08136
.08138
8.91601
.91612
.91622
.91633
.08343
.08344
.08346
.08348
8.92231
.92241
.92252
.92262
.08363
.08364
.08366
.08368
32
31
30
29
+ 8'
33
34
35
8.89725
.89735
.89746
.89757
.07893
.07895
.07897
.07899
8.90369
.90380
.90391
.90401
.08011
.08013
.08015
.08017
8.91009
.91019
.91030
.91041
.08130
.08133
.08134
.08136
.08138
.08140
.08143
.08144
8.91643
.91654
.91664
.91675
.08350
.08353
.08254
.08356
8.92273
.92283
.92294
.92304
.08370
.08372
.08374
.08376
28
27
26
25
24
23
22
7i
20
19
18
n
+ 9'
37
38
39
8.89768
.89779
.89789
.89800
.07901
.07903
.07905
.07907
8.90412
.90423
.90433
.90444
.08019
.08031
.08033
.08035
8.91051
.91062
.91073
.91083
8.91685
.91696
.91707
.91717
.08358
.08360
.08363
.08364
8.92315
.92325
.92335
.92346
.08378
.08380
.08382
.08384
41
42
43
8.89811
.89822
.89832
.89343
.07909
.07911
.07913
.07915
8.90455
.90466
.90476
.90487
.08037
.08039
.08031
.08033
8.91094
.91104
.91115
.91126
.08146
.08148
.08150
.08153
8.91728
.91738
.91749
.91759
.08366
.08268
.08370
.08372
8.92356
.92367
.92377
.92388
.08386
.08388
.08390
.08393
+ 11'
45
46
47
8.89854
.89865
.89875
.89886
.07917
.07919
.07931
.07933
8.90498
.90508
.90519
.90530
.08035
.08037
.08039
.08041
8.91136
.91147
.91157
.91168
.08154
.08156
.08158
.08160
8.91770
.91780
.91791
.91801
.08274
.08376
.08278
.08380
8.92398
.92409
.92419
.92429
.08394
.08396
.08398
.08400
16
15
14
13
+ 12'
49
50
51
8.89897
.89908
.89919
.89929
.07934
.07936
.07938
.07930
8.90540
.90551
.90562
.90572
.08043
.08045
.08047
.08049
8.91179
.91189
.91200
.91210
.08163
.08164
.08166
.08168
8.91812
.91822
.91833
.91843
.08383
.08384
.08386
.08288
8.92440
.92450
.92401
.92471
.08403
.08404
.08406
.08408
12
11
10
9
+ 13'
53
54
55
8.89940
.89951
.89962
.89972
.07933
.07934
.07936
.07938
8.90583
.90594
.90604
.90615
.08051
.08053
.08055
.08057
8.91221
.91232
.91242
.91253
.08170
.08172
.08174
.08176
8.91854
.91864
.91875
.91885
.08390
.08393
.08394
.08396
8.92482
.92492
.92502
.92513
.08410
.08412
.08414
.08416
8
1
6
5
4
3
2
1
+ ir
57
58
59
8.89983
.89994
.90005
.90015
.07940
.07943
.07944
.07946
8.90626
.90636
.90647
.90658
.08059
.08061
.08063
.08065
8.91263
.91274
.91284
.91295
.08178
.08180
.08183
.08184
8.91896
.91906
.91917
.91927
.08398
.08300
.08303
.08304
8.92523
.92534
.92544
.92554
.08418
.08420
.08423
.08425
+ 15'
8.90026
.07948
8.90668
.08066
8.91306
.08186
8.91938
.08306
8.92565
.08427
21h49m
21h4Sm
21^ 47m
21h46m
21h45m
TABLE IV.
Haversines.
[Page 71
s
2h urn 33° 45'
2h 16m 34° 0"
2h 17m 34° 15'
2^ 18m 34° SO'
2h 19m 34° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.92565
.92575
.92586
.92596
.08437
.08429
.08431
.08433
8.93187
.93197
.93208
.93218
.08548
.08550
.08552
.08554
8.93805
.93815
.93825
.93835
.08671
.08673
.08675
.08677
8.94417
.94427
.94438
.94448
.08794
.08796
.08798
.08800
8.95025
.95035
.95045
.95055
.08918
.08920
.08922
.08924
60
59
58
57
+ r
5
6
7
8.92607
.92617
.92627
.92638
.08435
.08437
.08439
.08441
8.93228
.93239
.93249
.93259
.08556
.08558
.08560
.08562
8.93846
.93856
.93866
.93876
.08679
.08681
.08683
.08685
8.94458
.94468
.94478
.94488
.08802
.08804
.08806
.08808
8.95065
.95076
.95086
.95096
.08926
.08928
.08930
.08933
.08934
.08936
.08938
.08940
56
55
54
53
62
51
50
49
+ r
9
10
11
8.92648
.92659
.92669
.92679
.08443
.08445
.08447
.08449
8.93270
.93280
.93290
.93301
.08564
.08566
.08568
.08571
8.93886
.93897
.93907
.93917
.08687
.08689
.08691
.08693
8.94498
.94509
.94519
.94529
.08810
.08812
.08814
.08816
8.95106
.95116
.95126
.95136
+ r
13
14
15
8.92690
.92700
.92710
.92721
.08451
.08453
.08455
.08457
8.93311
.93321
.93332
.93342
.08573
.08575
.08577
.08579
8.93927
.93938
.93948
.93958
.08695
.08697
.08699
.08701
8.94539
.94549
.94559
.94570
.08818
.08820
.08823
.08825
8.95146
.95156
.95166
.95176
.08943
.08945
.08947
.08949
48
47
46
45
+ 4'
17
IS
19
8.92731
.92742
.92752
.92762
.08459
.08461
.08463
.08465
8.93352
.93363
.93373
.93383
.08581
.08583
.08585
.08587
8.93968
.93979
.93989
.93999
.08703
.08705
.08707
.08709
8.94580
.94590
.94600
.94610
.08827
.08829
.08831
.08833
8.95186
.95197
.95207
.95217
.08951
.08953
.08955
.08957
44
43
42
41
+ 5'
21
22
23
8.92773
.92783
.92794
.92804
.08467
.08469
.08471
.08473
8.93393
.93404
.93414
.93424
.08589
.08591
.08593
.08595
8.94009
.94019
.91030
.94040
.08711
.08714
.08716
.08718
8.94620
.94630
.94641
.94651
.08835
.08837
.08839
.08841
8.95227
.95237
.95247
.95257
.08959
.08961
.08963
.08965
40
39
38
37
+ 6^
25
26
27
8.92814
.92825
.92835
.92845
.08475
.08477
.08479
.08481
8.93435
.93445
.93455
.93466
.08597
.08599
.08601
.08603
8.91050
.94060
.94071
.94081
.08720
.08722
.08724
.08726
8.94661
.94671
.94681
.94691
.08843
.08845
.08847
.08849
8.95267
.95277
.95287
.95297
.08967
.08970
.08973
.08974
36
35
34
S3
+ r
29
30
31
8.92856
.92866
.92877
.92887
.08483
.08485
.08487
.08489
8.93476
.93486
.93496
.93507
.08605
.08607
.08609
.08611
8.94091
.94101
.94111
.94122
.08728
.08730
.08732
.08734
8.94701
.94712
.94722
.94732
.08851
.08853
.08856
.08858
8.95307
.95317
.95327
.95337
.08976
.08978
.08980
.08983
32
31
SO
29
+ 8^
33
34
35
8.92897
.92908
.92918
.92928
.08491
.08493
.08495
.08497
8.93517
.93527
.93538
.93548
.08613
.08615
.08617
.08619
8.94132
.94142
.94152
.94162
.08736
.08738
.08740
.08742
8.94742
.94752
.94782
.94772
.08860
.08862
.08864
.08866
8.95347
.95357
.95368
.95378
.08984
.08986
.08988
.08990
28
27
26
25
+ 9^
37
38
39
8.92939
.92949
.92960
.92970
.08499
.08501
.08503
.08505
8.93558
.93568
.93579
.93589
.08621
.08624
.08626
.08628
8.94173
.94183
.94193
.94203
.08744
.08746
.08748
.08750
8.94782
.94793
.94803
.94813
.08868
.08870
.08872
.08874
8.95388
.95398
.95408
.95418
.08992
.08994
.08997
.08999
24
23
22
21
20
19
18
17
+ 1(K
41
42
43
8.92980
.92991
.93001
.93011
.08508
.08510
.08512
.08514
8.93599
.93610
.93620
.93630
.08630
.08632
.08634
.08636
8.94213
.94224
.94234
.94244
.08753
.08755
.08757
.08759
8.94823
.94833
.94843
.94853
.08876
.08878
.08880
.08883
8.95428
.95438
.95448
.95458
.09001
.09003
.09005
.09007
+ ir
45
46
47
8.93022
.93032
.93042
.93053
.08516
.08518
.08520
.08522
8.93640
.93651
.93661
.93671
.08638
.08640
.08642
.08644
8.94254
.94264
.94275
.94285
.08761
.08763
.08765
.08767
8.94863
.94874
.94884
.94894
.08885
.08887
.08889
.08891
8.95468
.95478
.95488
.95498
.09009
.09011
.09013
.09015
16
15
14
13
+ ir
49
50
51
8.93063
.93073
.93084
.93094
.08524
.08526
.08528
.08530
8.93681
.93692
.93702
.93712
.08646
.08648
.08650
.08652
8.94295
.94305
.94315
.94326
.08769
.08771
.08773
.08775
8.94904
.94914
.94924
.94934
.08893
.08895
.08897
.08899
8.95508
.95518
.95528
.95538
.09017
.09019
.09023
.09024
12
11
10
9
+ 13^
53
54
55
8.93104
.93115
.93125
.93135
.08532
.08534
.08536
.08538
8.93722
.93733
.93743
.93753
.086^4
.08656
.08658
.08660
8.94336
.94346
.94356
.94366
.08777
.08779
.08781
.08783
8.94944
.94954
.94965
.94975
.08901
.08903
.08905
.08907
8.95548
.95558
.95568
.95578
.09036
.09028
.09030
.09033
8
7
6
5
57
58
59
8.93146
.93156
.93166
.93177
.08540
.08542
.08544
.08546
8.93764
.93774
.93784
.93794
.08662
.08664
.08666
.08668
8.94376
.94387
.94397
.94407
.08785
.08788
.08790
.08792
8.94985
.94995
.95005
.95015
.08909
.08911
.08914
.08916
8.95588
.95598
.95608
.95618
.09034
.09036
.09038
.09040
4
S
2
1
+ 15'
8.93187
.08548
8.93805
.08671
8.94417
.08794
8.95025
.08918
8.95628
.09042
21'h'
44m
21h
43m
21h
42m
21^
41m
21^
40m
Page 7
2]
TABLE IV.
Haversines.
8
2h 20m 35° (K
2h 21m 35° 15'
2h 22^
35° 3r
2k 23^ 35° 45'
2h 24m
36° r
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
8.95628
.95638
.95648
.95658
.09042
.09044
.09047
.09049
8.96227
.96237
.96247
.96257
.09168
.09170
.09172
.09174
8.96821
.96831
.96841
.96851
.09294
.09296
.09298
.09301
8.97411
.97421
.97431
.97441
.09431
.09433
.09436
.09438
8.97997
.98006
.98016
.98026
.09549
.09551
.09553
.09556
60
59
58
57
+ r
5
6
7
8.95668
.95678
.95688
.95698
.09051
.09053
.09055
.09057
8.96267
.96277
.96287
.96297
.09176
.09178
.09181
.09183
8.96861
.96871
.96881
.96890
.09303
.09305
.09307
.09309
8.97450
.97460
.97470
.97480
.09430
.09433
.09434
.09436
8.98035
.98045
.98055
.98065
.09558
.09560
.09563
.09564
56
55
54
53
+ V
9
10
11
8.95709
.95719
.95729
.95739
.09059
.09061
.09063
.09065
8.96307
.96317
.96326
.96336
.09185
.09187
.09189
.09191
8.96900
.96911)
.96920
.96930
.09311
.09313
.09315
.09317
8.97489
.97499
.97509
.97519
.09438
.09440
.09443
.09445
8.98074
.98084
.98094
.98103
.09566
.09568
.09571
.09573
52
51
50
49
48
47
46
45
+ 3'
IS
14
15
8.95749
.95759
.95769
.95779
.09067
.09070
.09073
.09074
8.96346
.96356
.96366
.96376
.09193
.09195
.09197
.09199
8.96940
.96950
.96959
.96969
.09320
.09322
.09324
.09326
8.97529
.97538
.97548
.97558
.09447
.09449
.09451
.09453
8.98113
.98123
.98132
.98142
.09575
.09577
.09579
.09581
+ *'
17
18
19
8.95789
.95799
.95809
.95819
.09076
.09078
.09080
.09082
8.96386
.96396
.96406
.96416
.09202
.09204
.09206
.09208
8.96979
.96989
.96999
.97009
.09328
.09330
.09332
.99334
8.97568
.97577
.97587
.97597
.09455
.09457
.09460
.09463
8.98152
.98162
.98171
.98181
.09583
.09586
.09588
.09590
44
43
42
41
+ ^
21
22
23
8.95828
.95838
.95848
.95858
.09084
.09088
.09088
.09030
8.96426
.96436
.96446
.96455
.09210
.09212
.09214
.09216
8.97018
.97028
.97038
.97048
.09337
.09339
.09341
.09343
8.97607
.97617
.97626
.97636
.094W
.09466
.09468
.09470
8.98191
.98200
.98210
.98220
.09593
.09594
.09596
.09598
40
39
38
37
+ r
25
26
27
8.95868
.95878
.95888
.95898
.09033
.09095
.09097
.09099
8.96465
.96475
.96485
.96495
.09218
.09220
.09223
.09225
8.97058
.97068
.97077
.97087
.09345
.09347
.09349
.09351
8.97646
.97656
.97665
.97675
.09473
.09474
.09477
.09479
8.98229
.98239
.98249
.9S259
.09601
.09603
.09605
.09607
36
35
34
33
+ r
29
30
31
8.95908
.95918
.95928
.95938
.09101
.09103
.09105
.09107
8.96505
.96515
.96525
.96535
.09227
.09229
.09231
.09233
8.97097
.97107
.97117
.97127
.09353
.09356
.08358
.09360
8.97685
.97695
.97704
.97714
.09481
.09483
.09485
.09487
S.9S2bS
.98278
.98288
.98297
.09609
.09611
.09613
.09616
32
31
30
29
+ 8'
33
34
35
8.95948
.95958
.95968
.95978
.09109
.09111
.09113
.09116
8.96545
.96555
.96564
.96574
.09235
.09237
.09239
.09243
8.97136
.97146
.97156
.97166
.09362
.09364
.09366
.09368
8.97724
.97734
.97743
.97753
.09489
.09493
.09494
.09496
8.9S307
.98317
.98326
.98336
.09618
.09620
.09622
.09624
28
27
26
25
24
23
22
Vl
20
19
18
n
+ 9"
37
S8
39
8.95988
.95998
.96008
.96018
.09118
.09120
.09122
.09124
8.96584
.96594
.96604
.96614
.09244
.09246
.09248
.09250
8.97176
.97186
.97195
.97205
.09370
.09372
.03375
.09377
8.97763
.97773
.97782
.97792
.09498
.09500
.09503
.09504
8.98346
.98355
.98365
.98375
.09626
.09628
.09631
.09633
+ W
41
42
43
8.96028
.96038
.96048
.96058
.09126
.09128
.09130
.09132
8.96624
.96634
.96644
.96653
.09253
.09254
.09356
.09258
8.97215
.97225
.97235
.97244
.09379
.09381
.09383
.09385
8.97802
.97812
.97821
.97831
.09506
.09509
.09511
.09513
8.9S3S4
.98394
.98404
.98413
.09635
.09637
.09639
.09641
+ 11'
45
46
47
8.96068
.96078
.96088
.96098
.09134
.09136
.09139
.09141
8.96663
.96673
.96683
.96693
.09260
.09263
.09265
.09267
8.97254
.97264
.97274
.97284
.09387
.09389
.09392
.09394
8.97841
.97851
.97860
.97870
.09515
.09517
.09519
.09531
8.98423
.98433
.98442
.98452
.09643
.09646
.09648
.09650
16
15
14
13
+ 12'
49
50
51
8.96108
.96118
.96128
.96138
.09143
.09145
.09147
.09149
8.96703
.96713
.96723
.96733
.09269
.09271
.09373
.09375
8.97294
.97303
.97313
.97323
.09396
.09398
.09400
.09402
8.97880
.97890
.97899
.97909
.09534
.09536
.09538
.09530
8.9S4G2
.98471
.98481
.98491
.09652
.09654
.09656
.09658
12
11
10
9
8
7
6
5
+ 13^
53
54
55
8.96148
.96158
.96167
.96177
.09151
.09153
.09155
.09157
8.96742
.96752
.96762
.96772
.09277
.09280
.09383
.09284
8.97333
.97343
.97352
.97362
.09404
.09406
.09409
.09411
8.97919
.97928
.97938
.97948
.09533
.09534
.09536
.09538
8.98500
.98510
.98520
.98529
.09661
.09663
.09665
.09667
+ 1¥
57
58
59
8.96187
.96197
.96207
.96217
.09160
.09162
.09164
.09166
8.96782
.96792
.96802
.96812
.09386
.09288
.09290
.09292
8.97372
.97382
.97392
.97401
.09413
.09415
.09417
.09419
8.97958
.97967
.97977
.97987
.09541
.09543
.09545
.09547
8.98539
.98549
.98558
.98568
.09669
.09671
.09673
.09676
4
3
1
+ 15^
8.96227
.09168
8.96821
.09294
8.97411
.09431
8.97997
.09549
8.98578
.09678
21f^
39m
21^
38^
21f>'
37m
2in
36^
21^
35m
TABLE IV [Page 73
Haversines.
s
2^ 25m 36° 15'
2h 26m 36° 30'
2h 27m 36° 45'
2^ 2Sm 37° 0'
2h 29m 37° 15'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
8.98578
.98587
.98597
.98606
.09678
.09680
.09683
.09684
8.99154
.99164
.99173
.99183
.09807
.09809
.09811
.09814
8.99727
.99736
.99746
.99755
.09937
.09939
.09942
.09944
9.00295
.00305
.00314
.00324
.10068
.10070
.10073
.10075
9.00860
.00869
.00878
.00888
.10200
.10202
.10304
.10306
60
59
58
57
+ V
5
6
7
'8.98616
.98626
.98635
.98645
.09686
.09689
.09691
.09693
8.99193
.99202
.99212
.99221
8.99231
.99240
.99250
.99260
.09816
.09818
.09830
.09833
.09834
.09837
.09839
.09831
8.99765
.99774
.99784
.99793
.09946
.09948
.09950
.09953
.09955
.09957
.09959
.09961
9.00333
.00342
.00352
.00361
.10077
.10079
.10081
.100S4
.10086
.10088
.10090
.10092
9.00897
.00906
.00916
.00925
.10309
.10311
.10213
.10315
.10318
.10330
.10332
.10324
56
55
54
53
52
51
50
49
+ 3^
9
10
11
8.98655
.98664
.98674
.98684
.09695
.09697
.09699
.09701
8.99803
.99812
.99822
.99831
9.00371
.00380
.00390
.00399
9.00935
.00944
.00953
.00963
+ 3^
IS
14
15
8.98693
.98703
.98712
.98722
.09704
.09706
.09708
.09710
8.99269
.99279
.99288
.99298
.09833
.09835
.09837
.09840
8.99841
.99850
.99860
.99869
.09963
.09966
.09968
.09970
9.00408
.00418
.00427
.00437
.10095
.10097
.10099
.10101
9.00972
.00981
.00991
.01000
.10326
.10228
.10231
.10233
48
47
46
45
+ i'
17
18
19
8.98732
.98741
.98751
.98761
.09712
.09714
.09717
.09719
8.99307
.99317
.99327
.99336
.09843
.09844
.09846
.09848
8.99879
.99888
.99898
.99907
.09973
.09974
.09977
.09979
9.00446
.00456
.00465
.00474
.10103
.10105
.10108
.10110
9.01009
.01019
.01028
.01037
.10235
.10237
.10240
.10242
U
43
42
41
40
39
38
37
+ 5'
21
22
23
8.98770
.98780
.98790
.98799
.09731
.09733
.09735
.09737
8.99346
.99355
.99365
.99374
.09850
.09853
.09855
.09857
8.99917
.99926
.99936
.99945
.09981
.09983
.09985
.09987
9.00484
.00493
.00503
.00512
.10112
.10114
.10116
.10119
9.01047
.01056
.01065
.01075
.10244
.10246
.10248
.10251
+ 6^
25
26
27
8.98809
.98818
.98828
.98838
.09739
.09733
.09734
.09736
8.99384
.99393
.99403
.99412
.09859
.09861
.09863
.09866
8.99955
.99964
.99974
.99983
.09990
.09993
.09994
.09996
9.00522
.00531
.00540
.00550
.10121
.10133
.10125
.10137
9.01084
.01094
.01103
01112
.10253
.10255
.10257
.10259
36
35
34
33
+ r
29
30
31
8.98847
.98857
.98866
.98876
.09738
.09740
.09743
.09745
8.99422
.99432
.99441
.99451
.09868
.09870
.09873
.09874
8.99993
9.00002
.00012
.00021
.09998
.10000
.10003
.10005
9.00559
.00569
.00578
.00587
.10130
.10133
.10134
.10136
9.01122
.01131
.01140
.01150
.10262
.10264
.10266
.10268
32
31
30
29
+ 8'
33
34
35
8.98886
.98895
.98905
.98915
.09747
.09749
.09751
.09753
8.99460
.99470
.99479
.99489
.09876
.09879
.09881
.09883
9.00031
.00040
.00049
.00059
.10007
.10009
.10011
.10014
9.00597
.00606
.00616
.00625
.10138
.10141
.10143
.10145
9.01159
.01168
.01178
.01187
.10270
.10373
.10275
.10277
.10279
.10281
.10284
.10286
28
27
26
25
24
23
22
21
+ 9"
37
38
39
8.98924
.98934
.98943
.98953
.09755
.09757
.09760
.09763
8.99498
.99508
.99517
.99527
.09885
.09887
.09890
.09892
9.00068
.00078
.00087
.00097
.10016
.10018
.10030
.10033
9.00634
.00644
.00653
.00663
.10147
.10149
.10152
.10154
9.01196
.01206
.01215
.01224
+ W
41
42
43
8.98963
.98972
.98982
.98991
.09764
.09766
.09768
.09770
8.99536
.99546
.99556
.99565
.09894
.09896
.09898
.09900
9.00106
.00116
.00125
.00135
.10035
.10037
.10029
.10031
9.00672
.00681
.00691
.00700
.10156
.10158
.10160
.10163
9.01234
.01243
.01252
.01262
.10288
.10290
.10293
.10395
20
19
18
17
16
15
14
IS
+ ir
45
46
47
8.99001
.99011
.99020
.99030
.09773
.09775
.09777
.09779
8.99575
.99584
.99594
.99603
.09903
.09905
.09907
.09909
9.00144
.00154
.00163
.00172
.10033
.10035
.10038
.10040
9.00710
.00719
.00728
.00738
.10165
.10167
.10169
.10171
9.01271
.01280
.01289
.01299
.10397
.10399
.10301
.10304
+ n'
49
50
51
8.99039
.99049
.99058
.99068
.09781
.09783
.09786
.09788
8.99613
.996.22
.99^:32
.99641
.09911
.09913
.09916
.09918
9.00182
.00191
.00201
.00210
.10042
.10044
.10046
.10049
9.00747
.00756
.00766
.00775
.10174
.10176
.10178
.10180
9.01308
.01317
.01327
.01336
.10306
.10308
.10310
.10312
12
11
10
9
+ W
53
54
55
8.99078
.99087
.99097
.99106
.09790
.09792
.09794
.09796
8.99651
.99660
.99670
.99679
.09930
.09933
.09934
.09936
9.00220
.00229
.00239
.00248
.10051
.10053
.10055
.10057
9.00785
.00794
.00803
.00813
.10182
.10184
.10187
.10189
9.01345
.01355
.01364
.01373
.10315
.10317
.10319
.10321
8
7
6
5
57
58
59
8.99116
.99126
.99135
.99145
.09799
.09801
.09803
.09805
8.99689
.99698
.99708
.99717
.09939
.09931
.09933
.09935
9.00258
.00267
.00276
.00286
.10059
.10062
.10064
.10066
9.00822
.00831
.00841
.00850
.10191
.10193
.10196
.10198
9.01383
.01392
.01401
.01411
.10323
.10326
.10338
.10330
4
3
*^
1
+ 15^
8.99154
.09807
8.99727
.09937
9.00295
.10068
9.00860
.10200
9.01420
.10333
2lh 34m
21h 33m
2111 32^
2lh 3im
2lh SOm
Page 74] TABLE IV.
Havereines.
s
2^ SOm 37° Sr
2h 3m 37° 45'
2h 32m 38° O' 1 2h 33m 38° 15'
2h 34'^ 38° 30'
s
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
1
2
3
9.01420
.01429
.01438
.01448
.10333
.10335
.10337
.10339
9.01976
.01985
.01995
.02004
.10466
.10468
.10470
.10473
9.02528
.02538
.02547
.02556
.10599
.10603
.10004
.10606
9.03077
.03086
.03095
.03104
.10734
.10736
.10739
.10741
9.03621
.03630
.03639
.03648
.10870
.10873
.10874
.10879
60
59
58
57
+ r
5
6
7
9.01457
.01466
.01476
.01485
.10341
.10343
.10346
.10348
9.02013
.02022
.02031
.02041
.10474
.10477
.10479
.10481
9.02565
.02574
.02583
.02593
.10608
.10611
.10613
.10615
9.03113
.03122
.03131
.03141
.10743
.10745
.10748
.10750
9.03657
.03667
.03676
.03685
.10879
.10881
.10883
.10885
56
55
54
53
+ 3^
9
10
11
9.01494
.01504
.01513
.01522
.10350
.10353
.10354
.10357
9.02050
.02059
.02068
.02078
.10483
.10486
.10488
.10490
9.02602
.02611
.02620
.02629
.10617
.10630
.10633
.10634
9.03150
.03159
.03168
.03177
.10753
.10754
.10757
.10759
9.03694
.03703
.03712
.03721
.10888
.10890
.10893
.10895
52
51
50
49
+ 3'
13
14
15
9.01531
.01541
.01550
.01559
.10359
.10361
.10363
.10366
9.02087
.02096
.02105
.02115
.10493
.10494
.10497
.10499
9.02638
.02648
.02657
.02666
.10636
.10639
.10631
.10633
9.03186
.03195
.03204
.03213
.10761
.10763
.10766
.10768
9.03730
.03739
.03748
.03757
.10897
.10899
.10901
.10904
48
47
46
45
44
43
42
41
+ i'
17
18
19
9.015G9
.01578
.01587
.01596
.10368
.10370
.10373
.10374
9.02124
.02133
.02142
.02151
.10501
.10503
.10506
.10508
9.02675
.02684
.02693
.02702
.10635
.10638
.10640
.10643
9.03222
.03231
.03241
.03250
.10770
.10773
.10775
.10777
9.03766
.03775
.03784
.03793
.10906
.10908
.10910
.10913
+ 5^
21
22
73
9.01606
.01615
.01624
.01634
.10377
.10379
.10381
.10383
9.02161
.02170
.02179
.02188
.10510
.10513
.10515
.10517
9.02712
.02721
.02730
.02739
.10644
.10647
.10649
.10651
9.03259
.03268
.03277
.03286
.10779
.10781
.10784
.10786
9.03802
.03811
.03820
.03829
.10915
.10917
.10919
.10933
40
39
38
37
+ 6'
25
26
27
9.01643
.01652
.01661
.01671
.10386
.10388
.10390
.10393
9.02197
.02207
.02216
.02225
.10519
.10531
.10533
.10536
9.02748
.02757
.02767
.02776
.10653
.10655
.10658
.10660
9.03295
.03304
.03313
.03322
.10788
.10790
.10793
.10795
9.03838
.03847
.03856
.03865
.10934
.10936
.10939
.10931
36
35
34
33
+ r
29
30
31
9.01680
.01689
.01698
.01708
.10394
.10397
.10399
.10401
9.02234
.02244
.02253
.02262
.10538
.10530
.10533
.10535
9.02785
.02794
.02803
.02812
.10663
.10664
.10667
.10669
9.03331
.03340
.03350
.03359
.10797
.10799
.10803
.10804
9.03874
.03883
.03892
.03901
.10933
.10935
.10938
.10940
32
31
30
29
+ 8'
33
34
35
9.01717
.01726
.01736
.01745
.10403
.10405
.10408
.10410
9.02271
.02280
.02290
.02299
.10537
.10539
.10541
.10544
9.02821
.02830
.02840
.02849
.10671
.10673
.10676
.10678
9.03368
.03377
.03386
.03395
.10806
.10809
.10811
.10813
9.03910
.03919
.03928
.03937
.10943
.10944
.10947
.10949
28
27
26
25
24
23
22
21
+ 9"
r;7
38
39
9.01754
.01763
.01773
.01782
.10413
.10414
.10417
.10419
9.02308
.02317
.02326
.02336
.10546
.10548
.10550
.10553
9.02858
.02867
.02876
.02885
.10680
.10683
.10685
.10687
9.03404
.03413
.03422
.03431
.10815
.10818
.10830
.10833
9.03946
.03955
.03964
.03973
.10951
.10953
.10956
.10958
+ 10^
41
42
43
9.01791
.01800
.01810
.01819
.10431
.10433
.10435
.10438
9.02345
.02354
.02363
.02372
.10555
.10557
.10559
.10561
9.02894
.02904
.02913
.02922
.10689
.10691
.10694
.10696
9.03440
.03449
.03458
.03467
.10834
.10837
.10839
.10831
9.03982
.03991
.04000
.04009
.10960
.10963
.10965
.10967
20
19
18
17
+ ir
45
46
47
9.01828
.01837
.01847
.01856
.10430
.10433
.10434
.10436
9.02381
.02391
.02400
.02409
.10564
.10566
.10568
.10570
9.02931
.02940
.02949
.02958
.10698
.10700
.10703
.10705
9.03476
03486
.03495
.03504
.10833
.10836
.10838
.10840
9.04018
.04027
.04036
.04045
.10969
.10973
.10974
.10976
16
15
14
13
+ 12'
49
50
51
9.01865
.01874
.01884
.01893
.10439
.10441
.10443
.10445
9.02418
.02427
.02437
.02446
.10573
.10575
.10577
.10579
9.02967
.02977
.02986
.02995
.10707
.10709
.10713
.10714
9.03513
.03522
.03531
.03540
.10843
.10845
.10847
.10849
9.04054
.04063
.04072
.04081
.10978
.10981
.10983
.10985
12
11
10
9
+ 13'
53
54
55
9.01902
.01911
.01921
.01930
.10448
.10450
.10453
.10454
9.02455
.02464
.02473
.02483
.10583
.10584
.10586
.10588
9.03004
.03013
.03022
.03031
.10716
.10718
.10731
.10733
9.03549
.03558
.03567
.03576
.10851
.10854
.10856
.10858
9.04090
.04099
.04108
.04117
.10988
.10990
.10993
.10994
8
7
6
5
4
3
2
+ W
57
58
59
9.01939
01948
.01958
.01967
.10457
.10459
.10461
.10463
9.02492
.02501
.02510
.02519
.10591
.10593
.10595
.10597
9.03040
.03050
.03059
.03068
.10735
.10737
.10730
.10733
9.03585
.03594
.03603
.03612
.10861
.10863
.10865
.10867
9.04126
.04135
.04144
.04153
.10997
.10999
.11001
.11004
+ 15'
9.01976
.10486
9.02528
.10599
9.03077
.10734
9.03621
.10870
9.04162
.11006
—
21 h 29m
21^ 28'"^
2lTi27m 1
21'!^ 26m j
21h25m
TABLE IV.
Haveraines.
[Page 75
s
f ft 55"»
38* 45' j ift 56'"
39° r
2h 37m
39° 16'
f ft S8m 39° SO'
f ft S9m 39° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. nav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
.->
3
9.04162
.04171
.04180
.04189
.11006
.11008
.11010
.11013
9.04699
.04708
.04717
.04726
.11143
.11145
.11147
.11150
9.05232
.05241
.05250
.05259
.11380
.11383
.11385
.11387
9.05762
.05771
.05780
.05788
.11419
.11431
.11433
.11436
9.06288
.06297
.06305
.06314
.11558
.11560
.11563
.11565
60
59
58
57
5
6
7
9.04198
.04207
.04216
.04225
.11015
.11017
.11019
.11033
9.04735
.04744
.04753
.04761
.11153
.11154
.11156
.11159
9.05268
.05277
.05285
.05294
.11390
.11393
.11394
.11396
9.05797
.05806
.05815
.05823
.11438
.11430
.11433
.11435
9.06323
.06332
.06340
.06349
.11567
.11569
.11573
.11574
56
55
54
53
+ 3'
.9
10
11
9.04234
.04243
.04252
.04261
.11034
.11036
.11039
.11031
9.04770
.04779
.04788
.04797
.11161
.11163
.11166
.11163
9.05303
.05312
.05321
.05330
.11399
.11301
.11303
.11306
9.05832
.05841
.05850
.05859
.11437
.11440
.11443
.11444
9.06358
.06367
.06375
.06384
.11577
.11579
.11581
.11584
52
51
50
49
+ 3'
13
14
15
9.04270
.04279
.04288
.04297
.11033
.11035
.11038
.11040
9.04806
.04815
.04824
.04833
.11170
.11173
.11175
.11177
9.05339
.05347
.05356
.05365
.11308
.11310
.11313
.11315
9.05867
.05876
.05885
.05894
.11447
.11449
.11451
.11453
9.06393
.06401
.06410
.06419
.U586
.11588
.11590
.11593
48
47
46
45
44
43
42
41
40
39
38
37
+ i'
17
18
19
9.04306
.04315
.04324
.04333
.11043
.11044
.11047
.11049
9.04842
.04851
.04859
.04868
.11179
.11183
.11184
11186
9.05374
.05383
.05392
.05400
.11317
.11330
.11333
.11334
9.0.5903
.05911
.05920
.05929
.11456
.11458
.11460
.11463
9.06428
.06436
.06445
.06454
.11595
.11597
.11600
.11603
+ 5^
21
22
23
9.04341
.04350
.04359
.04368
.11051
.11054
.11056
.11058
9.04877
.04886
.04895
.04904
.11189
.11191
.11193
.11195
9.05409
.05418
.05427
.05436
.11336
.11339
.11331
.11333
9.05938
.05946
.05955
.05964
.11465
.11467
.11470
.11473
9.06482
.06471
.06480
.06489
.11604
.11607
.11609
.11611
+ 6^
25
26
27
9.04377
.04386
.04395
.04404
.11060
.11063
.11065
.11067
9.04913
.04922
.04931
.04939
.11198
.11300
.11303
.11305
9.05445
.05453
.05462
.05471
.11336
.11338
.11340
.11343
9.05973
.05982
.05990
.05999
.11474
.11477
.11479
.11481
9.06497
.06506
.06515
.06523
.11614
.11616
.11618
.11631
36
35
34
33
+ r
29
30
31
9.04413
.04422
.04431
.04440
.11070
.11073
.11074
.11076
9.04948
.04957
.04966
.04975
.11307
.11309
.11311
.11314
9.05480
.05489
.05498
.05506
.11345
.11347
.11349
.11353
9.06008
.06017
.06025
.06034
.11484
.11486
.11488
.11491
9.06532
.06541
.06550
.06558
.11633
.11635
.11638
.11630
32
31
30
29
+ 8^
33
34
35
9.04449
.04458
.04467
.04476
.11079
.11081
.11083
.11086
9.04984
.04993
.05002
.0.5011
.11316
.11318
.11331
.11333
9.05515
.05524
.05533
.05542
.11354
.11356
.11359
.11361
9.06043
.06052
.06060
.06069
.11493
.11495
.11498
.11500
9.06567
.06576
.06584
.06-593
.11633
.11635
.11637
.11639
28
27
26
25
+ 9^
.57
38
39
9.04485
.04494
.04503
.04512
.11088
.11090
.11093
.11095
9.05019
.05028
.05037
.05046
.11335
.11338
.11330
.11333
9.05551
.05559
.05568
.05577
.11363
.11366
.11368
.11370
9.06078
.06087
.06095
.06104
.11503
.11504
.11507
.11509
9.06602
.06611
.06619
.06628
.11643
.11644
.11646
.11649
24
23
22
"21
+ W
41
42
43
9.04520
.04529
.04538
.04547
.11097
.11099
.11103
.11104
9.050.55
.05064
.05073
.05082
.11334
.11337
.11339
.11341
9.05586
.0.5595
.05603
.05612
.11373
.11375
.11377
.11379
9.06113
.06122
.06131
.06139
.11511
.11514
.11516
.11518
9.06637
.06645
.06654
.06663
.11651
.11653
.11656
.11658
20
19
18
17
+ 11^
45
46
47
9.04556
.04565
.04574
.04583
.11106
.11108
.11111
.11113
9.05090
.05099
.05108
.05117
.11344
.11346
.11348
.11351
9.05621
.05630
.05639
.05648
.11383
.11384
.11386
.11389
9.06148
.06157
.06166
.06174
.11531
.11533
.11535
.11538
9.06671
.06680
.06689
.06697
.11660
.11663
.11665
.11667
16
15
14
13
49
50
51
9.04592
.04601
.04610
.04619
.11115
.11117
.11130
.11133
9.05126
.05135
.05144
.05153
.11353
.11355
.11357
.11360
9.05656
.05665
.05674
.05683
.11391
.11393
.11396
.11398
9.06183
.06192
.06201
.06209
.11530
.11533
.11535
.11537
9.06706
.06715
.06724
.06732
.11670
.11673
.11674
.11677
12
11
10
9
+ 13^
53
54
55
9.04628
.04637
.04646
.04654
.11134
.11137
.11139
.11131
9.05161
.05170
.05179
.05188
.11363
.11364
.11367
.11369
9.05692
.05700
.05709
.05718
.11400
.11403
.11405
.11407
9.06218
.06227
.06235
.06244
.11539
.11543
.11544
.11546
9.06741
.06750
.06758
.06767
.11679
.11681
.11684
.11686
8
7
6
5
+ W
57
58
59
9.04663
.04672
.04681
.04690
.11134
.11136
.11138
.11140
9.05197
.05206
.05215
.05223
.11371
.11374
.11376
.11378
9.05727
.05736
.05744
.057.53
.11410
.11413
.11414
.11416
9.06253
.06262
.06270
.06279
.11549
.11551
.11553
.11556
9.06776
.06784
.06793
.06802
.11688
.11691
.11693
.11695
4
3
2
1
-r 15^
9.04699
.11143
9.05232
.11380
9.05762
.11419
9.062S8
.11558
9.06810
.11698
21h
24"^
21h
2.3m
21^
22>n
21^
21m
21h
20m
Page 76] TABLE IV.
Haversinea.
s
2h 40^ 40° 0'
2h 4im 40° 15'
2h 42m 40° SO'
^ft 43m 40° 45'
2li 44m 41° 0'
s
Log. Hav.
Nat. Ilav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.06810
.06819
.06828
.06836
.11698
.11700
.11702
.11705
9.07329
.07338
.07346
.07355
.11838
.11841
.11843
.11845
9.07845
.07853
.07862
.07870
.11980
.11982
.11984
.11987
9.08357
.08365
.08374
.08382
.12122
.12124
.12127
.12129
9.08865
.08874
.08882
.08890
.13265
.12267
.12269
.12272
60
59
58
57
+ r
5
6
7
9.06845
.06854
.06862
.06871
.11707
.11709
.11712
.11714
9.07364
.07372
.07381
.07390
.11848
.11850
.11852
.11855
9.07879
.07887
.07896
.07905
.11989
.11992
.11994
.11996
9.08391
.08399
.08408
.08416
.12131
.12134
.12136
.12138
9.08899
.08907
.08916
.08924
.12274
.12276
.12279
.12281
56
55
54
53
+ r
9
10
11
9.06880
.06888
.06897
.06906
.11716
.11719
.11721
.11724
9.07398
.07407
.07415
.07424
.11857
.11860
.11862
.11864
9.07913
.07922
.07930
.07939
.11999
.12001
.12003
.12006
9.08425
.08433
.08442
.08450
.12141
.12143
.12146
.12148
9.08933
.08941
.08949
.08958
.12284
.12286
.12288
.12291
52
51
50
49
48
47
46
45
+ 3'
13
14
15
9.06914
.06923
.06932
.06940
.11726
.11728
.11731
.11733
9.07433
.07441
.07450
.07458
.11867
.11869
.11871
.11874
9.07947
.07956
.07964
.07973
.12008
.12010
.12013
.12015
9.08459
.08467
.08475
.08484
.12150
.12153
.12155
.12157
9.08966
.08975
.08983
.08992
.12293
.12296
.12298
.12300
+ 4^
17
18
19
9.06949
.06958
.06966
.06975
.11735
.11738
.11740
.11742
9.07467
.07476
.07484
.07493
.11876
.11878
.11881
.11883
9.07981
.07990
■ .07999
.08007
.12018
.12020
.12022
.12025
9.08492
.08501
.08509
.08518
.12160
.12162
.12165
.12167
9.09000
.09009
.09017
.09025
.12303
.12305
.12307
.12310
44
43
42
41
+ 5'
21
22
23
9.06984
.06992
.07001
.07010
.11745
.11747
.11749
.11752
9.07501
.07510
.07519
.07527
.11885
.11888
.11890
oll892
9.08016
.08024
.08033
.08041
.12027
cl2029
.12032
.12034
9.08526
.08535
.08543
.08552
.12169
.12172
.12174
.12176
9.09034
.09042
.09051
.09059
.12312
.12315
.12317
.12319
40
39
38
37
+ 6'
25
26
27
9.07018
.07027
.07036
.07044
.11754
.11756
.11759
.11761
9.07536
.07544
.07553
.07562
.11895
.11897
.11900
.11902
9.08050
.08058
.08067
.08075
.12036
.12039
.12041
.12044
9.08560
.08569
.08577
.08586
.12179
.12181
.12184
.12186
9.09068
.09076
.09084
.09093
.12322
.12324
.12327
.12329
36
35
34
33
+ r
29
30
31
9.07053
.07062
.07070
.07079
.11763
.11766
.11768
.11770
9.07570
.07579
.07587
.07596
.11904
.11907
.11909
.11911
9.08084
.08092
.08101
.08110
.12046
.12048
.12051
.12053
9.08594
.08603
.08611
.08620
.12188
.12191
cl2193
.12195
9.09101
.09110
.09118
.09126
.12331
.12334
.12336
.12339
32
31
30
29
+ ^
S3
34
35
9.07088
.07096
.07105
.07113
.11773
.11775
.11777
.11780
9.07605
.07613
.07622
.07630
.11914
.11916
.11918
.11921
9.08118
.08127
.08135
.08144
.12055
.12058
.12060
.12062
9.08628
.08637
.08645
.08654
.12198
.12200
.12203
.12205
9.09135
.09143
.09152
.09160
.13341
.13343
.12346
.12348
28
27
26
25
+ 9^
37
38
39
9.07122
.07131
.07139
.07148
.11782
.11784
.11787
.11789
9.07639
.07647
.07656
.07665
.11923
.11925
.11928
.11930
9.08152
.08161
.08169
.08178
.12065
.12067
.12070
.12072
9.08662
.08671
.08679
.08687
.12207
.12210
.12212
.12214
9.09169
.09177
.09185
.09194
.13351
.13353
.12355
.12358
24
23
22
21
+ W
41
42
43
9.07157
.07165
.07174
.07183
.11791
.11794
.11796
.11798
9.07673
.07682
.07690
.07699
.11933
.11935
.11937
.11940
9.08186
.08195
.08203
.08212
.12074
.12077
.12079
.12081
9.08696
.08704
.08713
.08721
.12217
.12219
.12222
.12224
9.09202
.09211
.09219
.09227
.12360
.12363
.12365
.12367
20
19
18
17
+ ir
45
46
47
9.07191
.07200
.07208
.07217
.11801
.11803
.11806
.11808
9.07708
.07716
.07725
.07733
.11942
.11944
.11947
.11949
9.08220
.08229
.08237
.08246
.12084
.12086
.12089
.12091
9.08730
.08738
.08747
.08755
.12226
.12229
.12231
.12233
9.09236
.09244
.09253
.09261
.13370
.12372
.12374
.12377
16
15
14
IS
12
11
10
9
+ 12'
49
50
51
9.07226
.07234
.07243
.07252
.11810
.11813
.11815
.11817
9.07742
.07750
.07759
.07768
.11951
.11954
.11956
.11958
9.08254
.08263
.08271
.08280
.12093
.12096
.12098
.12100
9.08764
.08772
.08781
.08789
.12236
.12238
.12241
.12243
9.09269
.09278
.09286
.09295
.12379
.12382
.12384
.12386
+ ir
53
54
55
9.07260
.07269
.07277
.07286
.11820
.11822
.11824
.11827
9.07776
.07785
.07793
.07802
.11961
.11963
.11966
.11968
9.08288
.08297
.08306
.08314
.12103
.12105
.12108
.12110
9.08797
.08806
.08814
.08823
.12245
.12248
.12250
.12253
9.09303
.09311
.09320
.09328
.12389
.12391
.12394
.12396
8
7
6
5
+ W
57
58
59
9.07295
.07303
.07312
.07321
.11829
.11831
.11834
.11836
9.07810
.07819
.07827
.07836
.11970
.11973
.11975
.11977
9.08323
.08331
.08340
.08348
.12112
.12115
.12117
.12119
9.08831
.08840
.08848
.08857
.12255
.12257
.12260
.12262
9.09337
.09345
.09353
.09362
.13398
.13401
.12403
.13406
4
3
2
1
+ 15'
9.07329
.11838
9.07845
.11980
9.08357
.12122
9.08865
.12265
9.09370 .12408
21h 19m
21h 18m
21h ijm
21h 16m
21^ 15m
TABLE IV.
Haversines.
[Page 77
s '
2h45m
41° 15'
2h jj.sm
41° 30'
2h47m
41° 45'
2^48^
42° 0'
2h 49m
43° 15'
s
Log. Hav.
Nat. llav.
Log. Hav.
Nat. Uav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
9.09370
.09379
.09387
.09395
.13408
.12410
.12413
.12415
9.09872
.09880
.09889
.09897
.12552
.12555
.12557
.12559
9.10371
.10379
.10387
.10395
.13697
.12700
.12702
.12704
9.10866
.10874
.10882
.10891
.12843
.12845
.12848
.12850
9.11358
.11366
.11374
.11382
.13989
.13993
.13994
.13996
60
59
58
57
+ r
5
6
7
9.09404
.09412
.09421
.09429
.12418
.12420
.13422
.13425
9.09905
.09914
.09922
.09930
.12562
.13564
.12567
.12569
9.10404
.10412
.10420
.10429
.12707
.13709
.13713
.13714
9.10899
.10907
.10915
.10923
.12852
.12855
.12857
.12860
9.11391
.11399
.11407
.11415
.12999
.13001
.13004
.13006
56
55
54
53
+ 2'
9
10
11
9.09437
.09446
.09454
.09462
.13437
.13430
.13433
.12434
9.09939
.09947
.09955
.09964
.12572
.12574
.12576
.12579
9.10437
.10445
.10453
.10462
.13717
.13719
.13731
.13724
9.10932
.10940
.10948
.10956
.12862
.12865
.12867
.12870
9.11423
.11431
.11440
.11448
.13009
.13011
.13014
.13016
52
51
50
49
+ 3'
13
14
15
9.09471
.09479
.09488
.09496
.12437
.12439
.12443
.12444
9.09972
.09980
.09989
.09997
.12581
.12584
.13586
.13588
9.10470
.10478
.10486
.10495
.12726
0I2729
.12731
.12733
9.10965
.10973
.10981
.10989
.13873
.13874
.12877
.12879
9.11456
.11464
.11472
.11480
.13018
.13031
.13023
.13036
43
47
46
45
+ 4'
17
18
19
9.09504
.09513
.09521
.09529
.12446
.12449
.12451
.12454
9.10005
.10014
.10022
.10030
.13591
,12593
.13596
.12598
9.10503
.10511
.10519
.10528
.12736
.12738
.12741
.12743
9.10997
.11006
.11014
.11022
.12882
.12884
.12887
.12889
9.11489
.11497
.11505
.11513
.13028
.13031
.13033
.13036
44
43
42
41
+ 5'
21
22
23
9.09538
.09546
.09555
.09563
.12456
.12458
.12461
.12463
9.10039
.10047
.10055
.10064
.13600
.13603
.13605
.13608
9.10536
.10544
.10553
.10561
.13746
.12748
.13750
.13753
9.11030
.11038
.11047
.11055
.13891
.13894
.13896
.12899
9.11521
.11529
.11538
.11546
.13038
.13041
.13043
.13045
40
39
38
37
+ 6'
25
26
27
9.09571
.09580
.09588
.09596
.12466
.13468
.12470
.12473
9.10072
.10080
.10088
.10097
.12610
.12613
.12615
.12617
9.10569
.10577
.10586
.10594
.13755
.13758
.13760
.13763
9.11063
.11071
.11079
.11088
.12901
.12904
.12906
.12909
9.11554
.11562
.11570
.11578
.13048
.13050
.13053
.13055
36
35
34
33
32
31
SO
29
+ r
29
30
31
9.09605
.09613
.09622
.09630
.12475
.12478
.12480
.12482
9.10105
.10113
.10122
.10130
.12620
.12622
.12625
.12637
9.10602
.10610
.10619
.10627
.13765
.13767
.13770
.12773
9.11096
.11104
.11112
.11120
.12911
.12913
.13916
.13918
9.11586
.11595
.11603
.11611
.13058
.13060
.13063
.13065
+ 8'
S3
34
35
9.09638
.09647
.09655
.09663
.12485
.12487
.12490
.12492
9.10138
.10147
.10155
.10163
.13639
.13633
.13634
.12637
9.10635
.10643
.10652
.10660
.13775
.13777
.12780
.13783
9.11129
.11137
.11145
.11153
.13931
.13933
.13936
.13938
9.11619
.11627
.11635
.11643
.13067
.13070
.13072
.13075
28
27
26
25
+ 9'
37
38
39
9.09672
.09680
.09688
.09697
.12494
.12497
.13499
.13503
9.10172
.10180
.10188
.10196
.12639
.12641
.12644
.12646
9.10668
.10676
.10685
.10693
.13784
.13787
.12789
.12792
9.11161
.11170
.11178
.11186
.13930
.13933
.12935
.13938
9.11652
.11660
.11668
.11676
.13077
.13080
.13082
.13085
24
23
22
"21
+ W
41
42
43
9.09705
.09713
.09722
.09730
.13504
.13506
.13509
.13511
9.10205
.10213
.10221
.10230
.12649
.12651
.12654
.12656
9.10701
.10709
.10718
.10726
.13794
.13797
.13799
.13801
9.11194
.11202
.11211
.11219
.13940
.12943
.12945
.12948
9.11684
.11692
.11700
.11709
.13087
.13090
.13092
.13095
20
19
18
17
+ 11'
45
46
47
9.09739
.09747
.09755
.09764
cl3514
.13510
,13519
.13521
9.10238
.10246
.10255
.10263
.12658
.12661
.12663
.12666
9.10734
.10742
.10751
.10759
.12804
.12806
.13809
.13811
9.11227
.11235
.11243
.11252
.12950
.12952
.12955
.12957
9.11717
.11725
.11733
.11741
.13097
.13099
.13102
.13104
16
15
14
13
+ 12'
49
50
51
9.09772
.09780
.09789
.09797
.13533
.13536
.13538
.13531
9.10271
.10279
.10288
.10296
.12668
.12671
.12673
.12675
9.10767
.10775
.10784
.10792
.13814
.13816
.12818
.12821
9.11260
.11268
.11276
.11284
.12960
.13963
.13965
.13967
9.11749
.11757
.11766
.11774
.13107
.13109
.13112
.13114
12
11
10
9
+ 13'
53
54
55
9.09805
.09814
.09822
.09830
.13533
.13536
.13538
.13540
9.10304
.10313
.10321
.10329
.12678
.12680
.12683
.12685
9.10800
.10808
.10816
.10825
.12823
.12826
.12828
.12831
9.11292
.11301
.11309
.11317
.12970
.12972
.18974
.12977
9.11782
.11790
.11798
.11806
.13116
.13119
.13121
.13124
8
7
6
5
+ 14'
57
58
59
9.09839
.09847
.09856
.09864
.12543
.12545
.12547
.12550
9.10337
.10346
.10354
.10362
.12687
.12690
.12692
.12695
9.10833
.10841
.10849
.10858
.12833
.12836
.12838
.12840
9.11325
.11333
.11342
.11350
.12979
.12982
.12984
.12987
9.11814
.11822
.11831
.11839
.13126
.13139
.13131
.13134
4
3
1 !
i
+ 15'
9.09872
.12552
9.10371
.13697
9.10866
.12843
9.11358
.13989
9.11847
.13136
21 h
14m
21h
ISm
^Ih 12m
21h
lim
21h
lOm
Page 78]
TABLE IV.
Havereines.
s
2h 50m 43° 30'
2h5im
43° 45'
2h 52m 43° 0'
fi 53^
43° 15'
2h54m
43° 30'
s
Log. Hav.
Nat. Hav.
IjOg. Ilav.
Nat. nav.
Log. nav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.11847
.11855
.11863
.11871
.13136
.13139
.13141
.13143
9.12332
.12341
.12349
.12357
.13384
.13386
.13289
.13291
9.12815
.12823
.12831
.12839
.13433
.13435
.13437
.13440
9.13295
.13303
.13311
.13319
.13581
.13584
.13586
.13589
9.13771
.13779
.13787
.13795
.13731
.13734
.13736
.13739
60
59
58
57
+ r
5
6
7
9.11879
.11887
.11895
.11904
.13146
.13148
.13151
.13153
9.12365
.12373
.12381
.12389
.13294
.13396
.13399
.13301
9.12847
.12855
.12863
.12871
.13442
.13445
.13447
.13450
9.13326
.13334
.13342
.13350
.13591
.13594
.13596
.13599
9.13803
.13811
.13819
.13827
.13741
.13744
.13746
.13749
56
55
54
53
+ 2'
9
10
11
9.11912
.11920
.11928
.11936
.13156
.13158
.13161
.13163
9.12397
.12405
.12413
.12421
.13304
.13306
.13309
.13311
9.12879
.12887
.12895
.12903
.13452
.13455
.13457
.13460
9.13358
.13366
.13374
.13382
.13601
.13604
.13607
.13609
9.13834
.13842
.13850
.13858
.13751
.13754
.13756
.13759
52
51
50
49
+ 3'
13
14
15
9.11944
.11952
.11960
.11968
.13166
.13168
.13171
.13173
9.12429
.12437
.12445
.12453
.13314
.13316
.13318
.13331
9.12911
.12919
.12927
.12935
.13463
.13465
.13467
.13470
9.13390
.13398
.13406
.13414
.13611
.13614
.13616
.13619
9.13866
.13874
.13882
.13890
.13761
.13764
.13766
.13769
48
47
46
45
+ 4'
17
18
19
9.11977
.11985
.11993
.12001
.13175
.13178
.13180
.13183
9.12461
.12470
.12478
.12486
.13323
.13336
.13328
.13331
9.12943
.12951
.12959
.12967
.13473
.13474
.13477
.13479
9.13422
.13430
.13438
.13446
.13621
.13624
.13626
.13629
9.13898
.13906
.13913
.13921
.13771
.13774
.13776
.13779
44
43
42
41
+ 5'
21
22
23
9.12009
.12017
.12025
.12033
.13185
.13188
.13190
.13193
9.12494
.12502
.12510
.12518
.13333
.13336
.13338
.13341
9.12975
.12983
.12991
.12999
.13482
.13484
.13487
.13489
9.13454
.13462
.13470
.13478
.13631
.13634
.13636
.13639
9.13929
.13937
.13945
.13953
.13781
.13784
.13786
.13789
40
39
38
37
+ 6'
25
26
27
9.12041
.12050
.12058
.12066
.13195
.13198
.13300
.13203
9.12526
.12534
.12542
.12550
.13343
.13346
.13348
.13351
9.13007
.13015
.13023
.13031
.13492
.13494
.13497
.13499
9.13486
.13494
.13501
.13509
.13641
.13644
.13646
.13649
9.13961
.13969
.13977
.13985
.13791
.13794
.13796
.13799
36
35
34
33
+ r
29
30
31
9.12074
.12082
.12090
.12098
.13205
.13207
.13210
.13212
9.12558
.12566
.12574
.12582
.13353
.13356
.13358
.13360
9.13039
.13047
.13055
.13063
.13503
.13504
.13507
.13509
9.13517
.13525
.13533
.13541
.13651
.13654
.13656
.13659
9.13992
.14000
.14008
.14016
.13801
.13804
.13806
.13809
32
31
30
29
28
27
26
25
+ 8'
33
34
35
9.12106
.12114
.12122
.12130
.13215
.13217
.13220
.13222
9.12590
.12598
.12606
.12614
.13363
.13365
.13368
.13370
9.13071
.13079
.13087
.13095
.13512
.13514
.13517
.13519
9.13549
.13557
.13565
.13573
.13661
.13664
.13666
.13669
9.14024
.14032
.14040
.14048
.13811
.13814
.13816
.13819
+ JK
37
38
39
9.12139
.12147
.12155
.12163
.13225
.13227
.13230
.13233
9.12622
.12630
.12638
.12647
.13373
.13375
.13378
.13380
9.13103
.13111
.13119
.13127
.13533
.13524
.13537
.13539
9.13581
.13589
.13597
.13605
.13671
.13674
.13676
.13679
9.14056
.14063
.14071
.14079
.13833
.13834
.13827
.13829
■24
23
22
21
+ W
41
42
43
9.12171
.12179
.12187
.12195
.13235
.13237
.13239
.13242
9.12655
.12663
.12671
.12679
.13383
.13385
.13388
.13390
9.13135
.13143
.13151
.13159
.13532
.13534
.13537
.13539
9.13613
.13621
.13628
.13636
.13681
.13684
.13686
.13689
9.14087
.14095
.14103
.14111
.13832
.13834
,13837
.13839
20
19
18
17
+ ir
45
46
47
9.12203
.12211
.12219
.12228
.13344
.13347
.13349
.13252
9.12687
.12695
.12703
.12711
.13393
.13395
.13398
.13400
9.13167
.13175
.13183
.13191
.13542
.13544
.13547
.13549
9.13644
.13652
.13660
.13668
.13691
.13694
.13696
.13699
9.14119
.14127
.14134
.14142
.13842
.13844
.13847
.13849
16
15
14
13
+ n'
49
50
51
9.12236
.12244
.12252
.12260
.13254
.13257
.13259
.13262
9.12719
.12727
.12735
.12743
.13403
.13405
.13408
.13410
9.13199
.13207
.13215
.13223
.13552
.13554
.13557
.13559
9.13676
.13684
.13692
.13700
.13701
.13704
.13706
.13709
9.14150
.14158
.14166
.14174
.13853
.13854
.13857
.13859
12
11
10
9
+ 13'
53
54
55
9.12268
.12276
.12284
.12292
.13264
.13367
.13369
.13373
9.12751
.12759
.12767
.12775
.13412
.13415
.13417
.13430
9.13231
.13239
.13247
.13255
.13562
.13564
.13567
.13569
9.13708
.13716
.13724
.13732
.13711
.13714
.13716
.13719
9.14182
.14190
.14197
.14205
.13862
.13864
.13867
.13869
8
7
6
5
+ 14'
57
58
59
9.12300
.12308
.12316
.12324
.13274
.13276
.13279
.13281
9.12783
.12791
.12799
.12807
.13432
.13425
.13427
.13430
9.13263
,13271
.13279
.13287
.13571
.13574
.13576
,13579
9.13739
.13747
.33755
.13763
.13731
.13734
.13736
.13739
9.14213
.14221
.14229
.14237
.13872
.13874
.13877
-13879
4
S
2
1
+ 15'
9.12332
.13284
9.12815
.13432
9.13295
.13581
9.13771
.13731
9.14245
.13882
21fi
gm
21^
Sm.
21h7m
21^
em
2lh
5m
TABLE IV.
Haversinee.
[Page 79
s
f A 55m 43° 45' 1
2h 56m 44° 0' |
2h 57m 14:° 15' 1 2h58mU°W \
2h59mU°45' |
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.14245
.14252
.14260
.14268
.13883
.13884
.13887
.13889
9.14715
.14723
.14731
.14739
.14033
.14035
.146.38
.14041
9.15183
.15190
.15198
.15206
.14185
.14187
.14190
.14193
9.15647
.15655
.15663
.15670
.14337
.14340
.14343
.14345
9.16109
.16117
.16124
.16132
.14491
.14493
.14496
.14498
60
59
58
57
+ r
5
6
7
9.14276
.14284
.14292
.14300
.13893
.13894
.13897
.13899
9.14746
.14754
.14762
.14770
.14043
.14046
.14048
.14051
9.15214
.15221
.15229
.15237
.14195
.14198
.14300
.14303
9.15678
.15686
.15694
.15701
.143^18
.14350
.14353
.14355
9.16140
.16147
.16155
.16163
.14501
.14504
.14506
.14509
56
55
54
53
+ r
9
10
11
9.14307
.14315
.14323
.14331
.13903
.13904
.13907
.13909
9.14778
.14785
.14793
.14801
.14053
.14056
.14058
.14061
9.15245
.15253
.15260
.15268
.14305
.14308
.14310
.14313
9.15709
.15717
.15724
.15732
.14358
.14360
.143C3
.14366
.14368
.14371
.14373
.14376
9.16170
.16178
.16186
.16193
9.16201
.16209
.16216
.16224
.14511
.14514
.14516
.14519
.14521
.14524
.14537
.14529
52
51
50
49
4S
47
46
45
+ 3'
13
14
15
9.14339
.14347
.14355
.14362
.13913
.13914
cl3917
.13930
9.14809
.14817
.14824
.14832
.14003
.14066
.14068
.14071
9.15276
.15284
.15291
.15299
.14315
.14318
.14330
.14333
9.15740
.15748
.15755
.15763
+ 4'
17
18
19
9.14370
.14378
.14386
.14394
.13933
.13935
.13937
.13930
9.14840
.14848
.14856
.14863
.14073
.14076
.14079
.14081
9.15307
.15315
.15322
.15330
.14336
.14338
.14331
.14333
9.15771
.15778
.15786
.15794
.14378
.14381
.14383
.14386
9.16232
.16239
.16247
.16255
.14532
.14534
.14537
.14539
44
43
42
41
40
39
38
37
+ 5'
21
22
23
9.14402
.14410
.14417
.14425
.13933
.13935
.13937
.13940
9.14871
.14879
.14887
.14895
.14084
.14086
.14089
.14091
9.15338
.15346
.15353
.15361
.14336
.14338
.14341
.14343
9.15802
.15809
.15817
.15825
.14388
.14391
.14394
.14396
9.16262
.16270
.16278
.16285
.14542
.14545
.14547
.14550
+ 6'
25
26
27
9.14433
.14441
.14449
.14457
.13943
.13945
.13947
.13950
9.14902
.14910
.14918
.14926
.14094
.14096
.14099
.14101
9.15369
.15377
.15384
.15392
.14346
.14348
.14251
.14353
9.15832
.15840
.15848
.15855
.14399
.14401
.14404
.14406
9.16293
.16301
.16308
.16316
.14552
.14555
.14557
.14560
36
35
34
33
+ r
29
SO
31
9.14465
.14472
.14480
.14488
.13953
.13955
.13957
.13960
9.14934
.14941
.14949
.14957
.14104
.14106
.14109
.14111
9.15400
.15408
.15415
.15423
.14356
.14359
.14361
.14364
9.15863
.15871
.15879
.15886
.14409
.14411
.14414
.14417
9.16324
.16331
.16339
.16346
.14562
.14565
.14568
.14570
32
31
30
29
+ S'
33
34
35
9.14496
.14504
.14512
.14519
.13963
.13965
.13967
.13970
9.14965
.14973
.14980
.14988
.14114
.14116
.14119
.14133
9.15431
.15439
.15446
.15454
.14366
.14369
.14371
.14274
9.15894
.15902
.15909
.15917
.14419
.14432
.14434
.14437
9.16354
.16362
.16369
.16377
.14573
.14575
.14578
.14580
28
27
26
25
24
23
22
21
20
19
18
17
+ 9'
37
38
39
9.14527
.14535
.14543
.14551
.13973
.13975
.13977
.13980
9.14996
.15004
.15012
.15019
.14134
.14137
.14139
.14133
9.15462
.15470
.15477
.15485
.14376
.14379
.14381
.14384
9.15925
.15932
.15940
.15948
.14439
.14432
.14434
.14437
9.16385
.16392
.16400
.16408
.14583
.14586
.14588
.14591
41
42
43
9.14559
.14566
.14574
.14582
.13983
.13985
.13988
.13990
9.15027
.15035
.15043
.15050
.14134
.14137
.14139
.14143
9.15493
.15500
.15508
.15516
.14387
.14289
.14293
.14394
9.15955
.15963
.15971
.15978
.14440
.14442
.14445
.14447
9.16415
.16423
.16431
.16438
.14593
.14596
.14598
.14601
+ 11'
45
46
47
9.14590
.14598
.14606
.14613
.13993
.13995
.13998
.14000
9.15058
.15066
.15074
.15082
.14144
.14147
.14149
.14153
9.15524
.15531
.15539
.15547
.14297
.14299
.14302
.14304
9.15986
.15994
.16002
.16009
.14450
.14452
.14455
.14457
9.16446
.16453
.16461
.16469
.14604
.14606
.14609
.14611
16
15
14
13
+ 13'
49
50
51
9.14621
.14629
.14637
.14645
.14003
.14005
.14008
.14010
9.15089
.15097
.15105
.15113
.14154
.14157
.14160
.14163
9.15555
.15562
.15570
.15578
.14307
.14309
.14312
.14315
9.16017
.16025
.16032
.16040
.14460
.14463
.14465
.14468
9.16476
.16484
.16492
.16499
.14614
.14616
.14619
.14622
12
11
10
9
+ 13'
53
54
55
9.14653
.14660
.14668
.14676
.14013
.14015
.14018
.14030
9.15120
.15128
.15136
.15144
.14165
.14167
.14170
.14173
9.15585
.15593
.15601
.15609
.14317
.14320
.14322
.14335
9.16048
.16055
.16063
.16071
.14470
.14473
.14475
.14478
9.16507
.16515
.16522
.16530
.14624
.14637
.14639
.14632
8
7
6
5
+ 14'
57
58
59
9.14684
.14692
.14699
.14707
.14033
.14035
.14038
.14030
9.15152
.15159
.15167
.15175
.14175
.14177
.14180
.14183
9.15616
.15624
.15632
.15640
.14327
.14330
.14332
.14335
9.16078
.16086
.16094
.16101
.14480
.14483
.14486
.14488
9.16537
.16545
.16553
.16560
.14634
.14637
.14639
.14643
4
S
2
1
+ 15'
9.14715
.14033
9.15183
.14185
9.15647
.14337
9.16109
.14491
9.16568
.14645
21J1
^m
21h3m
21f
I ^m
21f>
jm
21fi
Om
Page 80]
TABLE lY.
Haversines.
s
Sh om 45° 0'
3h im 450 15/ 1
^A f m 45° 30^
Sh 3m 45° 45/
Sh 4m 46° (K
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.16568
.16576
.16583
.16591
.14645
.14frl7
.14650
.14653
9.17024
.17032
.17039
.17047
.14799
.14803
.14804
.14807
9.17477
.17485
.17492
.17500
.14955
.14957
.14960
.14963
9.17928
.17935
.17943
.17950
.15110
.15113
.15116
.15118
9.18376
.18383
.18390
.18398
.15367
.15370
.15373
.15375
60
59
58
57
+ r
5
6
7
9.16598
.16606
.16614
.16621
.14655
.14658
.14660
.14663
9.17054
.17062
.17069
.17077
.14810
.14813
.14815
.14817
9.17507
.17515
.17522
.17530
.14965
.14968
.14970
.14973
9.17958
.17965
.17973
.17980
.15131
.15133
.15126
.15139
9.18405
.18413
.18420
.18428
.15278
.15380
.15383
.15385
56
55
54
53
+ V
9
10
11
9.16629
.16637
.16644
.16652
.14665
.14668
.14670
.14673
9.17085
.17092
.17100
.17107
.14830
.14833
.14835
.14838
9.17538
.17545
.17553
.17560
.14975
.14978
.14981
.14983
9.17988
.17995
.18003
.18010
.15131
.15134
.15137
.15139
9.18435
.18443
.18450
.18457
.15388
.15391
.15393
.15396
52
51
50
49
+ 3^
13
14
15
9.16659
.16667
.16675
.16682
.14676
.14678
.14681
.14683
9.17115
.17122
.17130
.17138
.14830
.14833
.14835
.14838
9.17568
.17575
.17583
.17590
.14986
.14988
.14991
.14993
9.18018
.18025
.18033
.18040
.15143
.15144
.15147
.15150
9.18465
.18472
.18480
.18487
.15398
.15301
.15304
.15306
48
47
46
45
+ 4'
17
18
19
9.16690
.16697
.16705
.16713
.14686
.14688
.14691
.14693
9.17145
.17153
.17160
.17168
.14841
.14843
.14846
.14848
9.17598
.17605
.17613
.17620
.14996
.14999
.15001
.15004
9.18048
.18055
.18062
.18070
.15153
.15155
.15157
.15160
9.18495
.18502
.18509
.18517
.15309
.15312
.15314
.15316
44
43
42
41
+ 5'
21
22
23
9.16720
.16728
.16735
.16743
.14696
.14699
.11701
.14704
9.17175
.17183
.17191
.17198
.14851
.14853
.14856
.14859
9.17628
.17635
.17643
.17650
.15006
.15009
.15013
.15014
9.18077
.18085
.18092
.18100
.15163
.15165
.15168
.15170
9.18524
.18532
.18539
.18547
.15319
.15333
.15325
.15337
40
39
38
37
25
26
27
9.16751
.16758
.16766
.16774
.14706
.14709
.14713
.14714
9.17206
.17213
.17221
.17228
.14861
.14864
.14866
.14869
9.17658
.17665
.17673
.17680
.15017
.15019
.15033
.15035
9.18107
.18115
.18122
.18130
.15173
.15176
.15178
.15181
9.18554
.18561
.18569
.18576
.15330
.15333
.15335
.15337
36
35
34
33
29
30
31
9.16781
.16789
.16796
.16804
.14717
.14719
.14733
.14734
9.17236
.17243
.17251
.17259
.14873
.14874
.14877
.14879
9.17688
.17695
.17703
.17710
.15037
.15030
.15033
.15035
9.18137
.18145
.18152
.18160
.15183
.15186
.15189
.15191
9.18584
.18591
.18598
.18608
.15340
.15343
.15346
.15348
32
31
30
29
33
34
35
9.16812
.16819
.16827
.16834
.14737
.14730
.14733
.14735
9.17266
.17274
.17281
.17289
.14883
.14885
.14887
.14890
9.17718
.17725
.17733
.17740
.15038
.15040
.15043
.15045
9.18167
.18174
.18182
.18189
.15194
.15197
.15199
.15303
9.18613
.18621
.18628
.18636
.15351
.15353
.15356
.15359
28
27
26
25
+ 9^
37
38
39
9.16842
.16850
.16857
.16865
.14737
.14740
.14743
.14745
9.17296
.17304
.17311
.17319
.14893
.14895
.14898
.14900
9.17748
.17755
.17763
.17770
.15048
.15051
.15053
.15056
9.18197
.18204
.18212
.18219
.15304
.15207
.15310
.15313
9.18643
.18650
.18658
.18665
.15361
.15364
.15367
.15369
24
23
22
21
+ W
41
42
43
9.16872
.16880
.16887
.16895
.14748
.14750
.14753
.14755
9.17327
.17334
.17342
.17349
.14903
.14905
.14908
.14910
9.17778
.17785
.17793
.17800
.15058
.15061
.15064
.15066
9.18227
.18234
.18242
.18249
.15315
.15317
.15330
.15323
9.18673
.18680
.18687
.18695
.15373
.15374
.15377
.15379
20
19
18
17
+ 11'
45
46
47
9.16903
.16910
.16918
.16925
.14758
.14760
.14763
.14766
9.17357
.17364
.17372
.17379
.14913
.14916
.14918
.14931
9.17808
.17815
.17823
.17830
.15069
.15071
.15074
.15077
9.18256
.18264
.18271
.18279
.15335
.15338
.15330
.15333
9.18702
.18710
.18717
.18724
.15383
.15385
.15388
.15390
16
15
U
13
+ ir
49
50
51
9.16933
.16941
.16948
.16956
.14768
.14771
.14773
.14776
9.17387
.17394
.17402
.17409
.14933
.14936
.14939
.14931
9.17838
.17845
.17853
.17860
.15079
.15083
.15084
.15087
9.18286
.18294
.18301
.18309
.15336
.15338
.15241
.15244
9.18732
.18739
.18747
.18754
.15393
.15395
.15398
.15401
12
11
10
9
+ 13^
53
64
55
9.16963
.16971
.16979
.16986
.14779
.14781
.14784
.14786
9.17417
.17425
.17432
.17440
.14934
.14936
.14939
.14943
9.17868
.17875
.17883
.17890
.15090
.15093
.15095
.15097
9.18316
.18324
.18331
.18338
.15246
.15249
.15251
.15254
9.18762
.18769
.18776
.18784
.15403
.15406
.15409
.15411
8
7
6
5
+ U'
57
58
59
9.16994
.17001
.17009
.17016
.14789
.14791
.14794
.14797
9.17447
.17455
.17462
.17470
.14944
.14947
.14949
.14953
9.17898
.17905
.17913
.17920
.15100
.15103
.15105
.15108
9.18346
.18353
.18361
.18368
.15257
.15259
.15263
.15364
9.18791
.18798
.18806
.18813
.15414
.15416
.15419
.15433
4
3
Z
1
+ W
9.17024
.14799
9.17477
.14955
9.17928
.15110
9.18376
.15367
9.18821
.15434
20h
59m
20h
55™
20^
57m
20h 56^
20h
55m
TABLE IV.
Haversinea.
[Page 81
s
3h 5m 46° 15'
3h em 46° 30'
3h7m
t6°45'
Sh 8m 47° C
3h 9m 47° 15'
a
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.18821
.18828
.18835
.18843
.15424
.15437
.15430
.15432
9.19263
.19270
.19278
.19285
.15582
.15585
.15588
.15590
9.19703
.19710
.19717
.19725
.15741
.15743
.15746
.15748
9.20140
.20147
.20154
.20162
.15900
.15903
.15905
.15908
9.20574
.20582
.20589
.20596
.16060
.16063
.16065
.16068
60
59
58
57
+ r
5
6
7
9.18850
.18858
.18865
.18872
.15435
.15437
.15440
.15443
9.19292
.19300
.19307
.19315
.15593
.15595
.15598
.15601
9.19732
.19739
.19747
.19754
.15751
.15754
.15757
.15759
9.20169
.20176
.20184
.20191
.15911
.15913
.15916
.15919
9.20603
.20611
.20618
.20625
.16071
.16073
.16076
.16079
56
55
54
53
+ V
9
10
11
9.18880
.18887
.18895
.18902
.15445
.15448
.15451
.15453
9.19322
.19329
.19337
.19344
.15603
.15606
.15609
.15611
9.19761
.19769
.19776
.19783
.15762
.15765
.15767
.15770
9.20198
.20205
.20213
.20220
9.20227
.20234
.20242
.20249
.15921
.15924
.15927
.15929
.15933
.15935
.15937
.15940
9.20632
.20639
.20647
.20654
.16081
.16084
.16087
.16089
52
51
50
49
+ 3'
13
14
15
9.18909
.18917
.18924
.18932
.15456
.15458
.15461
.15464
9.19351
.19359
.19366
.19373
.15614
.15617
.15619
.15622
9.19790
.19798
.19805
.19812
.15773
.15775
.15778
.15781
9.20661
.20668
.20675
.20683
.16092
.16095
.16097
.16100
48
47
46
45
+ 4^
17
18
19
9.18939
.18946
.18954
.18961
.15466
.15469
.15472
.15474
9.19381
.19388
.19395
.19403
.15625
.15627
.15630
.15632
9.19820
.19827
.19834
.19842
.15783
.15786
.15789
.15791
9.20256
.20263
.20271
.20278
.15943
.15945
.15948
.15951
9.20690
.20697
.20704
.20712
.16103
.16105
.16108
.16111
44
43
42
41
+ 5^
21
22
23
9.18968
.18976
.18983
.18991
.15477
.15479
.15482
.15485
9.19410
.19417
.19425
.19432
.15635
.15638
.15640
.15643
9.19849
.19856
.19863
.19871
.15794
.15796
.15799
.15803
9.20285
.20292
.20300
.20307
.15953
.15956
.15959
.15961
9.20719
.20726
.20733
.20740
.16113
.16116
.16119
.16121
40
39
38
37
+ 6'
25
26
27
9.18998
.19005
.19013
.19020
.15487
.15490
.15493
.15495
9.19439
.19447
.19454
.19461
.15646
.15648
.15651
.15654
9.19878
.19885
.19893
.19900
.15804
.15807
.15810
.15813
9.20314
.20321
.20329
.20336
.15964
.15967
.15969
.15973
9.20748
.20755
.20762
.20769
.16124
.16127
.16139
.16133
36
35
34
33
+ r
29
30
31
9.19027
.19035
.19042
.19050
.15498
.15501
.15503
.15506
9.19469
.19476
.19483
.19491
.15656
.15659
.15662
.15664
9.19907
.19914
.19922
.19929
.15815
.15818
.15830
.15833
9.20343
.20350
.20358
.20365
.15975
.15977
.15980
.15983
9.20776
.20784
.20791
.20798
.16135
.16137
.16140
.16143
32
31
30
29
+ 8'
33
S4
35
9.19057
.19064
.19072
.19079
.15509
.15511
.15514
.15516
9.19498
.19505
.19513
.19520
.15667
.15670
.15672
.15675
9.19936
.19944
.19951
.19958
.15826
.15828
.15831
.15834
9.20372
.20379
.20386
.20394
.15985
.15988
.15991
.15993
9.20805
.20812
.20820
.20827
.16146
.16148
.16151
.16154
28
27
26
25
+ a'
37
38
39
9.19086
.19094
.19101
.19109
.15519
.15522
.15524
.15527
9.19527
.19535
.19542
.19549
.15677
.15680
.15683
.15685
9.19965
.19973
.19980
.19987
.15836
.15839
.15843
.15844
9.20401
.20408
.20415
.20423
.15996
.15999
.16001
.16004
9.20834
.20841
.20848
.20856
.16156
.16159
.16163
.16164
24
23
22
21
+ W
41
42
43
9.19116
.19123
.19131
.19138
.15530
.15532
.15535
.15537
9.19557
.19564
.19571
.19579
.15688
.15691
.15693
.15696
9.19995
.20002
.20009
.20016
.15847
.15850
.15853
.15855
9.20430
.20437
.20444
.20452
.16007
.16009
.16013
.16015
9.20863
.20870
.20877
.20884
.16167
.16170
.16173
.16175
20
19
18
n
+ 11'
45
46
47
9.19145
.19153
.19160
.19167
.15540
.15543
.15545
.15548
9.19586
.19593
.19600
.19608
.15699
.15701
.15704
.15706
9.20024
.20031
.20038
.20045
.15858
.15860
.15863
.15866
9.20459
.20466
.20473
.20481
.16017
.16030
.16033
.16035
9.20891
.20899
.20906
.20913
.16178
.16180
.16183
.18186
16
15
14
13
12
11
10
9
8
7
6
5
+ 12'
49
50
51
9.19175
.19182
.19190
.19197
.15551
.15553
.15556
.15559
9.19615
.19622
.19630
.19637
.15709
.15713
.15714
.15717
9.20053
.20060
.20067
.20075
.15868
.15871
.15874
.15876
9.20488
.20495
.20502
.20509
.16038
.16031
.16033
.16036
9.20920
.20927
.20935
.20942
.16188
.16191
.16194
.16196
+ 13'
53
54
55
9.19204
.19212
.19219
.19226
.15561
.15564
.15566
.15569
9.19644
.19652
.19659
.19666
.15730
.15733
.15735
.15728
9.20082
.20089
.20096
.20104
.15879
.15881
.15884
.15887
9.20517
.20524
.20531
.20538
.16039
.16041
.16044
.16047
9.20949
.20956
.20963
.20971
.16199
.16203
.16204
.16307
+ 14'
57
58
59
9.19234
.19241
.19248
.19256
.15572
.15574
.15577
.15580
9.19674
.19681
.19688
.19696
.15730
.15733
.15736
.15738
9.20111
.20118
.20125
.20133
.15889
.15893
.15895
.15898
9.20546
.20553
.20560
.20567
.16049
.16052
.16055
.16057
9.20978
.20985
.20992
.20999
.16310
.16313
.16315
.16318
4
3
2
1
+ 15'
9.19263
.15582
9.19703
.15741
9.20140
.15900
9.20574
.16060
9.21006
.16230
20h
54^
20h 5Sm
20^
52^
20f>-
5im
20'!'
50m
55901=
Page 82]
TABLE IV.
Eaversines.
s
Sh jom 47° 30'
3h 11m
47° 45'
Sh 12m
48° C
Sh iSm 48° 15'
Sh 14m
48° 30'
s
Log. llav.
Nat. Ilav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Ilav.
Log. Hav.
Nat. Hav.
1
2
3
9.21006
.21014
.21021
.21028
.16220
.16223
.16226
.16229
9.21436
.21443
.21450
.21457
.16382
.16384
.16387
.16390
9.21863
.21870
.21877
.21884
.16543
.16546
.16549
.16552
9.22287
.22294
.22301
.22308
.16706
.16709
.16711
.16714
9.22709
.22716
.22723
.22730
.16869
.16872
.16874
.16877
60
59
5S
57
5
6
7
9.21035
.21042
.21049
.21057
.16231
.16234
.16237
.16239
9.21464
.21471
.21479
.21486
.16392
.16395
.16398
.16401
9.21891
.21898
.21905
.21912
.16554
.16557
.16560
.16562
9.22315
.22322
.22329
.22336
.16717
.16720
.16722
.16725
9.22737
.22744
.22751
.22758
0I688O
.16883
.16885
.16888
56
55
54
53
+ 2"
9
10
11
9.21064
.21071
.21078
.21085
.16242
.16245
.16247
.16250
9.21493
.21500
.21507
.21514
.16403
.16406
.16409
.16411
9.21919
.21926
.21934
.21941
.16565
.16568
.16571
.16573
9.22343
.22350
.22358
.22365
.16728
.16730
.16733
.16736
9.22765
.22772
.22779
.22786
.16891
.16893
.16896
.16899
52
51
50
49
+ 3^
IS
14
15
9.21092
.21100
.21107
.21114
.16253
.16255
.16358
.16261
9.21521
.21529
.21536
.21543
.16414
.16417
.16419
.16433
9.21948
.21955
.21962
.21969
.16576
.16579
.16581
.16584
9.22372
.22379
.22386
.22393
.16738
.16741
.16744
.16747
9.22793
.22800
.22807
.22814
.16902
.16904
.16907
.16910
48
47
46
45
+ 4'
17
18
19
9.21121
.21128
.21135
.21143
.16263
.16266
.16269
.16271
9.21550
.21557
.21564
.21571
.16425
.16427
.16430
.16433
9.21976
.21983
.21990
.21997
.16587
.16589
.16593
.16595
9.22400
.22407
.22414
.22421
.16749
.16753
.16755
.16757
9.22821
.22828
.22835
.22842
.16913
.16915
.16918
.16921
U
43
42
41
+ y
21
22
23
9.21150
.21157
.21164
.21171
.16274
.16277
.16280
.16282
9.21578
.21585
.21593
.21600
.16436
.16438
.16441
.16444
.16446
.16449
.16452
.16454
9.22004
.22011
.22019
.22026
.16598
.16600
.16603
.16606
9.22428
.22435
.22442
.22449
.16760
.16763
.16766
.16768
9.22849
.22856
.22863
.22870
.16924
.16926
.16921)
.16932'
40
39
38
37
36
35
34
S3
+ 6^
25
26
21
9.21178
.21186
.21193
.21200
.16285
.16288
.16290
.16293
9.21607
.21614
.21621
.21628
9.22033
.22040
.22047
.22054
.16608
.16611
.16614
.16616
9.22456
.22463
.22470
.22477
.16771
.16774
.16777
.16779
9.22877
.22884
.22891
.22898
.16934
.16937
.16940
.16943
+ r
29
30
31
9.21207
.21214
.21221
.21229
.16296
.16298
.16301
.16304
9.21635
.21642
.21650
.21657
.16457
.16460
.16462
.16465
9.22061
.22068-
.22075
.22082
.16619
.16622
.16625
.16637
9.22484
.22491
.22498
.22505
.16783
.16785
.16787
.16790
9.22905
.22012
.22919
.22926
.16945
.16948
.16951
.16953
32
31
30
29
+ 8'
33
34
35
9.21236
.21243
.21250
.21257
.16306
.16309
.16312
.16314
9.21664
.21671
.21678
.21685
.16468
.16471
.16473
.16476
9.22089
.22096
.22103
.22111
.16630
.16633
.16635
.16638
9.22512
.22519
.22526
.22533
.16793
.16795
.16798
.16801
9.22933
.22940
.22947
.22954
.16956
.16959
.16962
.16964
2S
27
26
25
+ 9'
37
38
39
9.21264
.21272
.21279
.21286
.16317
.16320
.16323
.16325
9.21692
.21699
.21706
.21714
.16479
.16481
.16484
.16487
9.22118
.22125
.22132
.22139
.16641
.16644
.16646
.16649
9.22540
.22547
.22555
.22562
.16804
.16806
.16809
.16813
9.22961
.22968
.22975
.22982
.16967
.16970
.16973
.16975
24
23
2?
21
4- W
41
42
43
9.21293
.21300
.21307
.21314
.16328
.16331
.16333
.16336
9.21721
.21728
.21735
.21742
.16489
.16492
.16495
.16498
9.22146
.22153
.22160
.22167
.16652
.16654
.16657
.16660
9.22569
.22576
.22583
.22590
.16815
.16817
.16820
.16823
9.22989
.22996
.23003
.23010
.16978
.16981
.16984
.16986
20
19
18
17
+ ir
45
46
47
9.21322
.21329
.21336
.21343
.16339
.16341
.16344
.16347
9.21749
.21756
.21763
.21770
.16500
.16503
.16506
.16508
9.22174
.22181
.22188
.22195
.16663
.16665
.16668
.16671
9.22597
.22604
.22611
.22618
.16825
.16828
.16831
.16834
9.23017
.23024
.23031
.23038
.16989
.16992
.16994
.16997
16
15
14
13
+ 12^
49
50
51
9.21350
.21357
.21364
.21372
.16349
.16352
.16355
.16357
9.21778
.21785
.21792
.21799
.16511
.16514
.16516
.16519
9.22202
.22209
.22216
222^^4
9.22231
.22238
.22245
.22252
.16673
.16676
.16679
.16681
9.22625
.22632
.22639
.22646
.16836
.16839
.16842
.16844
9.23045
.23052
.23059
.23066
.17000
.17003
.17005
.17008
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.21379
.21386
.21393
.21400
.16360
.16363
.16366
.16368
9.21806
.21813
.21820
.21827
.16523
.16524
.16537
.16530
.16684
.16687
.16690
.16692
9.22653
.22660
.22667
.22674
.16847
.16850
.16853
.16855
9.23073
.23080
.23087
.23094
.17011
.17014
.17016
.17019
+ ir
57
58
59
9.21407
.21414
.21422
.21429
.16371
.16374
.16376
.16379
9.21834
.21841
.21848
.21856
.16533
.16535
.16538
.16541
9.22259
.22266
.22273
.22280
.16695
.16698
.16701
.16703
9.22681
.22688
.22695
.22702
.16858
.16861
.16864
.16866
9.23100
.23107
.23114
.23121
.17022
.17024
.17027
.17030
4
S
2
'1
+ 15'
9.21436
.16382
9.21863
.16543
9.22287
.16706
9.22709
.16869
9.23128
.17033
20h
43m
20^t'
48^
20h
J^jm
20h
46m
20^
45m
TABLE IV. [Page 83
Haversines.
s
Sh 157TI 48° 45'
3h 16^ 49° 0' 1
Sh nm 49° 15'
3h IS'"' 49° 30'
3h 19m 49° 45'
s
Log. Hav.
Nat. Ha V.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
3
9.23128
.23135
.23142
.23149
.17033
.17035
.17038
.17041
9.23545
.23552
.23559
.23566
.17197
.17200
.17203
.17205
9.23960
.23967
.23974
.23981
.17362
.17365
.17368
.17370
9.24372
.24379
.24386
.24393
.17528
.17530
.17533
.17536
9.24782
.24789
.24796
.24803
.17694
.17697
.17699
.17702
60
59
58
57
+ r
5
6
7
9.23156
.23163
.23170
.23177
.17044
.17046
.17049
.17052
9.23573
.23580
.23587
.23594
.17208
.17211
.17214
.17216
9.23988
.23994
.24001
.24008
.17373
.17376
.17379
.17381
9.24400
.24406
.24413
.24420
.17539
.17541
.17544
.17547
9.24809
.24816
.24823
.24830
.17705
.17708
.17710
.17713
56
55
54
53
+ 2^
9
10
11
9.23184
.23191
.23198
.23205
.17055
.17057
.17060
.17063
9.23601
.23608
.23615
.23622
.17219
.17222
.17225
.17227
9.24015
.24022
.24029
.24036
.17384
.17387
.17390
.17392
9.24427
.24434
.24441
.24448
.17550
.17552
,17555
.17558
9.24837
.24843
.24850
.24857
.17716
.17719
.17722
.17724
52
51
50
49
48
47
46
45
+ 3'
13
14
15
9.23212
.23219
.23226
.23233
.17066
.17068
.17071
.17074
9.23629
.23635
.23642
.23649
.17230
.17233
.17235
.17238
9.24043
.24050
.24056
.24063
.17395
.17398
.17401
.17403
9.24454
.24461
.24468
.24475
.17561
.17563
.17566
.17569
9.24864
.24871
.24877
.24884
.17727
.17730
.17733
.17735
+ ^'
17
18
19
9.23240
.23247
.23254
.23261
.17076
.17079
.17082
.17085
9.23656
.23663
.23670 ,
.23677
.17241
.17244
.17246
.17249
9.24070
.24077
.24084
.24091
.17406
.17409
.17412
.17414
9.24482
.24489
.24495
.24502
.17572
.17575
.17577
.17580
9.24891
.24898
.24905
.24911
.17738
.17741
.17744
.17746
44
43
42
41
+ 5'
21
22
23
9.23268
.23275
.23282
.23289
.17087
.17090
.17093
.17096
9.23684
.23691
.23698
.23705
.17252
.17255
.17257
.17260
9.24098
.24105
.24111
.24118
.17417
.17420
.17423
.17425
9.24509
.24516
.24523
.24530
.17583
.17586
.17588
.17591
9.24918
.24925
.24932
.24939
.17749
.17752
.17755
.17758
40
39
38
37
+ 6^
25
26
27
9.23295
.23302
.23309
.23316
.17098
.17101
.17104
.17107
9.23712
.23718
.23725
.23732
.17263
.17266
.17268
.17271
9.24125
.24132
.24139
.24146
.17428
.17431
.17434
.17436
9.24536
.24543
.24550
.24557
.17594
.17597
.17600
.17602
9.24945
.24952
.24959
.24966
.17760
.17763
.17766
.17769
36
35
34
33
+ r
29
30
31
9.23323
.23330
.23337
.23344
.17109
.17112
.17115
.17117
9.23739
.23746
.23753
.23760
.17274
.17277
.17279
.17282
9.24153
.24160
.24166
.24173
.17439
.17442
.17445
.17447
9.24564
.24571
.24577
.24584
.17605
.17608
.17611
.17613
9.24973
.24979
.24986
.24993
.17772
.17774
.17777
.17780
32
31
SO
29
+ 8'
33
34
35
9.23351
.23358
.23365
.23372
.17120
.17123
.17126
.17128
9.23767
.23774
.23781
.23788
.17285
.17288
.17290
.17293
9.24180
.24187
.24194
.24201
.17450
.17453
.17456
.17458
9.24591
.24598
.24605
.24612
.17616
.17619
.17622
.17624
9.25000
.25007
.25013
.25020
.17783
.17785
.17788
.17791
28
27
26
25
24
23
22
21
+ 9'
37
38
39
9.23379
.233-86
.23393
.23400
.17131
.17134
.17137
.17139
9.23794
.23801
.23808
.23815
.17296
.17299
.17301
.17304
9.24208
.24215
.24221
.24228
.17461
.17464
.17467
.17470
9.24618
.24625
.24632
.24639
.17627
.17630
.17633
.17636
9.25027
.25034
.25040
.25047
.17794
.17797
.17799
.17802
+ W
41
42
43
9.23407
.23414
.23421
.23427
.17142
.17145
.17148
.17150
9.23822
.23829
.23836
.23843
.17307
.17310
.17313
.17315
9.24235
.24242
.24249
.24256
.17472
.17475
.17478
.17481
9.24646
.24653
.24659
.24666
.17638
.17641
.17644
.17647
9.25054
.25061
.25068
.25074
.17805
.17808
.17811
.17813
20
19
18
17
+ 11^
45
46
47 ■
9.23434
.23441
.23448
.23455
.17153
.17156
.17159
.17161
9.23850
.23857
.23863
.23870
.17318
.17321
.17323
.17326
9.24263
.24269
.24276
.24283
.17483
.17486
.17489
.17492
9.24G73
.24680
.24687
.24694
.17649
.17652
.17655
.17658
9.25081
.25088
.25095
.25102
.17816
.17819
.17822
.17824
16
15
14
IS
+ 12'
49
50
51
9.23462
.23469
.23478
.23483
.17164
.17167
.17170
.17172
9.23877
.23884
.23891
.23898
.17329
.17332
.17335
.17337
9.24290
.24297
.24304
.24311
.17494
.17497
.17500
.17503
9.24700
.24707
.24714
.24721
.17661
.17663
.17666
.17669
9.25108
.25115
.25122
.25129
.17827
.17830
.17833
.17836
12
11
10
9
+ 13'
53
54
55
9.23490
.23497
.23504
.23511
.17175
.17178
.17181
.17183
9.23905
.23912
.23919
.23926
.17340
.17343
.17346
.17348
9.24317
.24324
.24331
.24338
.17505
.17508
.17511
.17514
9.24728
.24734
.24741
.24748
.17672
.17674
.17677
.17680
9.25135
.25142
.25149
.25156
.17838
.17841
.17844
.17847
8
7
6
5
+ 14'
57
58
59
9.23518
.23525
.23532
.23538
.17186
.17189
.17192
.17194
9.23932
.23939
.23946
.23953
.17351
.17354
.17357
.17359
9.24345
.24352
.24359
.24365
.17517
.17519
.17522
.17525
9.24755
.24762
.24768
.24775
.17683
.17686
.17688
.17691
9.25163
.25169
.25176
.25183
.17849
.17852
.17855
.17858
4
3
2
1
+ 15'
9.23545
.17197
9.23960
.17362
9.24372
.17528
9.24782
.17694
9.25190
1 .17861
20^ 44^
20f>' 4Sin
20h 42m
20h4]m
oQh 4om
Page 84]
TABLE IV.
Haversines.
s
5'» 20m 50° 0"
Sh Sim 50° 15"
Sh 22m 60° 30"
3h 2Sm 50° 45"
Sh 24m
51° 6'
s
Log. Hav.
Nat. Hav.
Log. Hay.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.25190
.25196
.25203
.25210
.17861
.17863
.17866
.17869
9.25595
.25602
.25608
.25615
.18038
.18031
.18034
.18036
9.25998
.26005
.26011
.26018
.18196
.18199
.18303
.18305
9.26398
.26405
.26412
.26418
.18365
.18368
.18370
.18373
9.26797
.26804
.26810
.26817
.18534
.18537
.18540
.18542
60
59
58
57
+ r
5
6
7
9.25217
.25224
.25230
.25237
.17873
.17875
.17877
.17880
9.25622
.25629
.25635
.25642
.18039
.18043
.18045
.18048
9.26025
.26031
.26038
.26045
.18307
.18310
.18313
.18316
9.26425
.26432
.26438
.26445
.18376
.18379
.18383
.18384
9.26823
.26830
.26837
.26843
.18545
.18548
.18551
.18554
56
55
54
53
+ V
9
10
11
9.25244
.25251
.25257
.25264
.17883
.17886
.17888
.17891
9.25649
.25655
.25662
.25669
.18050
.18053
.18056
.18059
9.26051
.26058
.26065
.26071
.18319
.18231
.18334
.18327
9.26452
.26458
.26465
.26472
.18387
.18390
.18393
.18396
9.26850
.26856
.26863
.26870
.18557
.18559
.18563
.18565
52
51
50
49
+ 3"
13
14
15
9.25271
.25278
.25284
.25291
.17894
.17897
.17900
.17903
9.25676
.25682
.25689
.25696
.18063
.18064
.18067
.18070
9.26078
.26085
.26091
.26098
.18330
.18333
.18335
.18238
9.26478
.26485
.26492
.26498
.18399
.18401
.18404
.18407
9.26876
.26883
.26890
.26896
.18568
.18571
.18574
.18576
4S
47
46
45
+ 4"
17
18
19
9.25298
.25305
.25311
.25318
.17905
.17908
.17911
.17914
9.25703
.25709
.25716
.25723
.18073
.18076
.18078
.18081
9.26105
.26112
.26118
.26125
.18241
.18244
.18247
.18249
9.26505
.26512
.26518
.26525
.18410
.18413
.18415
.18418
9.26903
.26909
.26916
.26923
.18579
.18583
.18585
.18588
44
43
42
41
+ 5"
21
22
23
9.25325
.25332
.25339
.25345
.17916
.17919
.17933
.17935
9.25729
,25736
.25743
.25750
.18084
.18087
.18090
.18093
9.26132
.26138
.26145
.26152
.18352
.18255
.18358
.18261
9.26532
.26538
.26545
.26551
.18431
.18434
.18437
.18430
9.26929
.26936
.26942
.26949
.18591
.18593
.18596
.18599
40
39
38
37
+ 6"
25
26
27
9.25352
.25359
.25366
.25372
.17928
.17930
.17933
.17936
9.25756
.25763
.25770
.25776
.18095
.18098
.18101
.18104
9.26158
.26165
.26172
.26178
.18263
.18366
.18369
.18373
9.26558
.26565
.26571
.26578
.18433
.18435
.18438
.18441
9.26956
.26962
.26969
.26975
.18603
.18605
.18608
.18610
36
35
34
33
+ r
29
30
31
9.25379
.25386
.25393
.25399
.17939
.17941
.17944
.17947
9.25783
.25790
.25797
.25803
.18106
.18109
.18113
.18115
9.26185
.26192
.26198
.26205
.18275
.18277
.18280
.18283
9.26585
.26591
.26598
.26605
.18444
.18446
.18449
.18452
9.26982
.26989
.26995
.27002
.18613
.18616
.18619
.18633
32
31
SO
29
+ 8"
33
34
35
9.25406
.25413
.25420
.25426
.17950
.17953
.17955
.17958
9.25810
.25817
.25823
.25830
.18118
.18130
.18133
.18136
9.26212
.26218
.26225
.26232
.18386
.18289
.18293
.18294
9.26611
.26618
.26625
.26631
.18455
.18458
.18461
.18463
9.27008
.27015
.27022
.27028
.18634
.18627
.18630
.18633
28
27
26
25
+ 9'
37
38
39
9.25433
.25440
.25447
.25453
.17961
.17964
, .17967
.17969
9.25837
.25844
.25850
.25857
.18139
.118133
.18134
.18137
9.26238
.26245
.26252
.26259
.18297
.18300
.18303
.18306
9.26638
.26644
.26651
.26658
.18466
.18469
.18472
.18475
9.27035
.27041
.27048
.27055
.18636
.18639
.18641
.18644
24
23
22
21
+ 10"
41
42
43
9.25460
.25467
.25474v
.25480^
.17973
.17975
.17978
.17981
9.25864
.25870
.25877
.25884
.18140
.18143
.18146
.18148
9.26265
.26272
.26279
.26285
.18308
.18311
.18314
.18317
9.26664
.26671
.26678
.26684
.18478
.18480
.18483
.18486
9.27061
.27068
.27074
.27081
.18647
.18650
.18653
.18656
20
19
18
17
+ 11'
45
46
47
9.25487
.25494
.25500
.25507
.17983
.17986
.17989
.17993
9.25891
.25897
.25904
.25911
.18151
.18154
.18157
.18160
9.26292
.26299
.26305
.26312
.18320
.18323
.18325
.18328
9.26691
.26697
.26704
.26711
.18489
.18492
.18494
,18497
9.27088
.27094
.27101
.27107
.18658
.18661
.18664
.18667
16
15
14
IS
+ 13"
49
50
51
9.25514
.25521
.25528.
.25534
.17995
.17997
.18000
.18003
9.25917
.25924
.25931
.25938
.18163
.18165
.18168
.18171
9.26319
.26325
.26332
.26339
.18331
.18334
.18337
.18339
9.26717
.26724
.26731
.26737
.18500
.18503
.18506
.18509
9.27114
.27121
.27127
.27134
.18670
.18673
.18675
.18678
12
11
10
9
+ 13"
53
54
55
9.25541
.25548
.25544
.25561
.18006
.18008
.18011
.18014
9.25944
.25951
.25958
.25964
.18174
.18176
.18179
.18183
9.26345
.26352
.26359
.26365
.18342
.18345
.18348
.18351
9.26744
.26751
.26757
.26764
.18511
.18514
.18517
.18520
9.27140
.27147
.27154
.27160
.18681
.18684
.18687
.18690
8
7
6
5
4
3
2
1
+ 14"
57
58
59
9.25568
.25575
.25581
.25588
.18017
.18030
.18033
.18035
9.25971
.25978
.25984
.25991
.18185
.18188
.18190
.18193
9.26372
.26378
.26385
.26392
.18353
.18356
.18359
.18363
9.26770
.26777
.26784
.26790
.18523
.18526
.18528
.18531
9.27167
.27173
.27180
.27186
.18693
.18695
.18698
.18701
+ 15"
9.25595
.18038
9.25998
.18196
9.26398
.18365
9.26797
.18534
9.27193
.18704
_
20^ 39m 1
20^ SS^
20^ 37m 1
20h 36m 1
20^ S5m 1
TABLE IV.
Haversines.
[Page 85
Sfi 26m 51° 15'
3h 26m 51° 30' |
3h 27m 51° W 1
3h 28m 5%° 0^
Stt 29m 62° 15^ 1
s
s
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. nav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.27193
.27200
.27206
.27213
.18704
.18707
.18710
.18713
9.27587
.27594
.27600
.27607
.18874
.18877
.18880
.18883
9.27979
.27985
.27992
.27998
.19045
.19048
.19051
.19054
9.28368
.28375
.28381
.28388
.19217
.19220
.19223
.19226
9.28756
.28762
.28769
.28775
.19389
.19392
.19395
.19398
60
69
68
57
+ r
5
6
7
9.27219
.27226
.27233
.27239
.18715
.18718
.18721
.18724
9.27613
.27620
.27626
.27633
.18886
.18888
.18891
.18894
9.28005
.28011
.28018
.28024
.19057
.19060
.19062
.19065
9.28394
.28401
.28407
.28414
.19228
.19231
.19234
.19237
9.28782
.28788
.28794
.28801
.19401
.19404
.19406
.19409
66
55
54
53
+ ^
9
10
11
9.27246
.27252
.27259
.27265
.18727
.18729
.18732
.18735
9.27639
.27646
.27652
.27659
.18897
.18900
.18903
.18906
9.28031
.28037
.28044
.28050
.19068
.19071
.19074
.19077
9.28420
.28427
.28433
.28440
.19240
.19243
.19246
.19248
9.28807
.28814
.28820
.28827
.19412
.19415
.19418
.19421
52
61
60
49
48
47
46
45
44
43
42
41
+ 3^
13
14
15
9.27272
.27279
.27285
.27292
.18738
.18741
.18744
.18746
9.27666
.27672
.27679
.27685
.18908
.18912
.18914
.18917
9.28057
.28063
.28070
.28076
.19080
.19082
.19085
.19088
9.28446
.28453
.28459
.28465
.19251
.19254
.19257
.19260
9.28833
.28840
.28846
.28852
.19424
.19427
.19429
.19432
+ 4^
17
18
19
9.27298
.27305
.27311
.27318
.18749
.18752
.18755
.18758
9.27692
.27698
.27705
.27711
.18920
.18923
.18926
.18928
9.28083
.28089
.28096
.28102
.19091
.19094
.19097
.19100
9.28472
.28478
.28485
.28491
.19263
.19266
.19269
.19271
9.28859
.28865
.28872
.28878
.19435
.19438
.19441
.19444
+ ^
21
22
23
9.27325
.27331
.27338
.27344
.18761
.18763
.18766
.18769
9.27718
.27724
.27731
.27737
.18931
.18934
.18937
.18940
9.28109
.28115
.28122
.28128
.19102
.19105
.19108
.19111
9.28498
.28504
.28511
.28517
.19274
.19277
.19280
.19283
9.28885
.28891
.28897
.28904
.19447
.19450
.19452
.19455
40
39
38
37
+ ^
25
26
27
9.27351
.27357
.27364
.27371
.18772
.18775
.18778
.18780
9.27744
.27751
.27757
.27764
.18943
.18945
.18948
.18951
9.28135
.28141
.28148
.28154
.19114
.19117
.19120
.19122
9.28524
.28530
.28537
.28543
.19286
.19289
.19291
.19294
9.28910
.28917
.28923
.28930
9.28936
.28942
.28949
.28955
.19458
.19461
.19464
.19467
36
36
34
33
32
31
30
29
+ r
29
SO
31
9.27377
.27384
.27390
.27397
.18783
.18786
.18789
.18792
9.27770
.27777
.27783
.27790
.18954
.18957
.18960
.18963
9.28161
.28167
.28174
.28180
.19125
.19128
.19131
.19134
9.28549
.28556
.28562
.28569
.19297
.19300
.19303
.19306
.19470
.19473
.19475
.19478
+ 9/
33
34
35
9.27403
.27410
.27417
.27423
.18795
.18797
.18800
.18803
9.27796
.27803
.27809
.27816
.18965
.18968
.18971
.18974
9.28187
.28193
.28200
.28206
.19137
.19140
.19142
.19145
9.28575
.28582
.28588
.28595
.19309
.19311
.19314
.19317
9.28962
.28968
.28974
.28981
.19481
.19484
.19487
.19490
28
27
26
25
+ 9^
37
38
39
9.27430
.27436
.27443
.27449
.18806
.18809
.18812
.18815
9.27822
.27829
.27835
.27842
.18977
.18980
.18983
.18985
9.28213
.28219
.28226
.28232
.19148
.19151
.19154
.19157
9.28601
.28608
.28614
.28620
.19320
.19323
.19326
.19329
9.28987
.28994
.29000
.29007
.19493
.19496
.19499
.19501
24
23
22
21
20
19
18
17
16
16
14
13
+ 1(K
41
42
43
9.27456
.27463
.27469
.27476
.18817
.18820
.18823
.18826
9.27848
.27855
.27861
.27868
.18988
.18991
.18994
.18997
9.28239
.28245
.28252
.28258
.19160
.19163
.19165
.19168
9.28627
.28633
.28640
.28646
.19332
.19335
.19337
.19340
9.29013
.29019
.29026
.29032
.19504
.19507
.19510
.19513
+ 11^
45
46
47
9.27482
.27489
.27495
.27502
.18829
.18832
.18834
.18837
9.27875
.27881
.27888
.27894
.19000
.19002
.19005
.19008
9.28265
.28271
.28278
.28284
.19171
.19174
.19177
.19180
9.28653
.28659
.28666
.28672
.19343
.19346
.19349
.19352
9.29039
.29045
.29051
.29058
.19516
.19519
.19522
.19524
+ 1%'
49
60
61
9.27508
.27515
.27522
.27528
.18840
.18843
.18846
.18849
9.27901
.27907
.27914
.27920
.190U
.19014
.19017
.19020
9.28291
.28297
.28304
.28310
.19183
.19185
.19188
.19191
9.28679
.28685
.28691
.28698
.19355
.19358
.19360
.19363
9.29064
.29071
.29078
.29084
.19527
.19530
.19533
.19536
12
11
10
9
+ 13^
63
54
66
9.27535
.27541
.27548
.27554
.18852
.18854
.18857
.18860
9.27927
.27933
.27940
.27946
.19022
.19025
.19028
.19031
9.28317
.28323
.28330
.28336
.19194
.19197
.19200
.19203
9.28704
.28711
.28717
.28724
.19366
.19369
.19372
.19375
9.29090
.29096
.29103
.29109
.19539
.19542
.19545
.19548
8
7
6
6
57
58
59
9.27561
.27567
.27574
.27580
.18863
.18866
.18869
.18871
9.27953
.27959
.27966
.27972
.19034
.19037
.19040
.19042
9.28342
.28349
.28355
.28362
.19205
.19208
.19211
.19214
9.28730
.28737
.28743
.28749
.19378
.19381
.19383
.19386
9.29116
.29122
.29128
.29135
.19550
.19553
.19556
.19559
4
3
2
1
+ ly
9.27587
.18874
9.27979
.19045
9.28368
.19217
9.28756
.19389
9.29141
.19562
20h
34m
20h SSm
20h S2m
20h Sim
20hS0m
Page 86]
TABLE IV.
Haveraines.
s
3^ 30m 53° 30'
3h3im
62° 45'
ShS2^
53° C
.5 A 33m 53° 15'
3h34m
53° 30'
s
Log. Hav.
Nat. llav.
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
1
2
S
9.29141
.29148
.29154
.29160
.19563
.19565
.19568
.19571
9.29524
.29531
.29537
.29543
.19735
.19738
.19741
.19744
9.29906
.29912
.29918
.29925
.19909
.19913
.19915
.19918
9.30285
.30291
.30207
.30303
.20084
.20087
.30090
.20093
9.30662
.30068
.30674
.30680
.20359
.30363
.30366
.30368
60
59
58
57
56
55
54
53
52
51
50
49
+ r
5
6
7
9.29167
.29173
.29180
.29186
.19573
.19576
.19579
.19583
9.29550
.29556
.29563
.29569
.19747
.19760
.19763
.19756
9.29931
.29937
.29943
.29950
.19931
.19934
.19927
.19930
9.30310
.30316
.30322
.30329
.20095
.30098
.30101
.30104
.20107
.20110
.20113
.20116
9.30687
.30693
.30699
.30705
9.30712
.30718
.30724
.30730
.30371
.30373
.30376
.20379
.20383
.20285
.20388
.30391
+ 2'
9
10
11
9.29192
.29199
.29205
.29212
.19585
.19588
.19591
.19591
9.29575
.29582
.29588
.29594
.19758
.19761
.19764
.19767
9.29956
.29962
.29969
.29975
.19933
.19935
.19938
.19941
9.30335
.30341
.30348
.30354
+ 3'
13
14
15
9.29218
.29224
.29231
.29237
.19597
.19599
.19603
.19605
9.29601
.29607
.29614
.29620
.19770
.19773
.19776
.19779
9.29981
.29988
.29994
.30000
.19944
.19947
.19950
.19953
9.30360
.30366
.30373
.30379
.20119
.20122
.20125
.20127
9.30737
.30743
.30749
.30755
.30294
.20297
.20300
.20303
48
47
46
45
+ r
17
18
19
9.29244
.29250
.29256
.29263
.19608
.19611
.19614
.19617
9.29626
.29633
.29639
.29645
.19783
.19785
.19787
.19790
9.30007
.30013
.30019
.30026
.19956
.19959
.19963
.19964
9.30385
.30392
.30398
.30404
.20130
.20133
.20136
.20139
9.30762
.30768
.30774
.30780
.20308
.20309
.30313
.30314
u
43
42
41
+ 5'
21
22
23
9.29269
.29276
.29282
.29288
.19630
.19633
.19635
.19638
9.29652
.29658
.29664
.29671
.19793
.19796
.19799
.19803
9.30032
.30038
.30045
.30051
.19967
.19970
.19973
.19976
9.30410
.30417
.30423
.30429
.20142
.20145
.20148
.20151
9.30787
.30793
.30799
.30805
.30317
.30330
.30333
.30326
40
39
38
37
36
35
34
33
+ 6'
25
26
27
9.29295
.29301
.29307
.29314
.19631
.19634
.19637
.19640
9.29677
.29683
.29690
.29696
.19805
.19808
.19811
.19814
9.30057
.30064
.30070
.30076
.19979
.19982
.19985
.19988
9.30436
.30442
.30448
.30454
.20154
.20157
.20160
.20162
9.30812
.30818
.30824
.30830
.30339
.30333
.30336
.20338
+ r
29
30
31
9.29320
.29327
.29333
.29339
.19643
.19646
.19649
.19651
9.29703
.29709
.29715
.29722
.19816
.19819
.19823
.19825
9.30083
.30089
.30095
.30102
.19991
.19994
.19996
.19999
9.30461
.30467
.30473
.30480
.20165
.20168
.20171
.20174
9.30837
.30843
.30849
.30855
.20341
.20344
.20347
.20350
.20352
.20355
.20358
.20361
32
31
30
29
28
27
26
25
+ 8'
33
34
35
9.29346
.29352
.29359
.29365
.19654
.19657
.19660
.19663
9.29728
.29734
.29741
.29747 ■
.19828
.19831
.19834
.19837
9.30108
.30114
.30121
.30127
.30003
.30005
.30008
.30011
9.30486
.30492
.30498
.30505
.20177
.20180
.20183
.20186
9.30862
.30868
.30874
.30880
+ r
57
38
39
9.29371
.29378
.29384
.29391
.19666
.19669
.19673
.19675
9.29753
.29760
.29766
.29772
.19840
.19843
.19845
.19848
9.30133
.30139
.30146
.30152
.20014
.20017
.20020
.20033
9.30511
.30517
.30524
.30530
.20189
.30193
.30195
.20198
9.30887
.30893
.30899
.30905
.20364
.20367
.20370
.20373
24
23
22
21
+ 10'
41
42
43
9.29397
.29403
.29410
.29416
.19677
.19680
.19683
.19686
9.29779
.29785
.29791
.29798
.19851
.19854
.19857
.19860
9.30158
.30165
.30171
.30177
.20026
.20038
.20031
.20034
9.30536
.30542
.30549
.30555
.20300
.30303
.30306
.20209
9.30912
.30918
.30924
.30930
.20376
.20379
.20382
.20385
20
19 ■
18 .
17 '
+ 11'
45
46
47
9.29422
.29429
.29435
.29442
.19689
.19693
.19695
.19698
9.29804
.29810
.29817
.29823
.19863
.19866
.19869
.19873
9.30184
.30190
.30196
.30203
.20037
.20040
.20043
.20046
9.30561
.30567
.30574
.30580
.20212
.20216
.20218
.30331
9.30937
.30943
.30949
\30955
' .30388
.20391
.20393
.20396
16
15
14
13
12 ■
11
10
9
+ ir
49
50
51
9.29448
.29454
.29461
.29467
.19701
.19703
.19706
.19709
9.29829
.29836
.29842
.29848
.19874
.19877
.19880
.19883
9.30209
.30215
.30222
.30228
.20049
.20052
.20055
.20058
9.30586
.30593
.30599
.30605
.20334
.30337
.30330
.20233
9.30962
.30968
.30974
.30980
.20399
.20402
.20405
.20408
+ 13'
53
54
55
9.29473
.29480
.29486
.29493
.19713
.19715
.19718
.19731
9.29855
.29861
.29867
.29874
.19886
.19889
.19893
.19895
9.30234
.30240
.30247
.30253
.20060
.20063
.20066
.20069
9.30611
.30618
.30624
.30630
.20235
.20238
.20341
.30344
9.30987
.30993
.30999
.31005
.30411
.30414
.30417
.20430
8
7
6
5
+ 14'
57
58
59
9.29499
.29505
.29512
.29518
.19734
.19737
.19730
.19733
9.29880
.29886
.29893
.29899
.19898
.19901
.19903
.19906
9.30259
.30266
.30272
.30278
.20073
.20076
.20078
.20081
9.30636
.30643
.30649
.30655
.30347
.30250
.20353
.20356
9.31012
.31018
.31024
.31030
.30433
.20426
.20429
.20432
4
3
2
1
+ 15'
9.29524
.19735
9.29906
.19909
9.30285
.20084
9.30662
.20259
9.31036
.20436
20h 29^
20^ 28^
20'h' 27'"^
20h 26>n |
20h
S5m
TABLE IV. [Page 87
Havereines.
s
3h 35m 5Z°i5' 1
Sh 36m 54° 0' |
Sh 37m u° w
3hS8m5i°W 3f^ 39m 5i°i5' |
s
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Ilav.
Log. Ilav.
Nat. Uav.
Log. Ilav.
Nat. Ilav.
Log. Uav.
Nat. Hav.
1
2
3
9.31036
.31043
.31049
.31055
.20435
.20437
.20440
.20443
9.31409
.31416
.31422
.31428
.20011
.30614
.30617
.20620
9.31780
.31786
.31793
.31799
.30788
.30790
.30793
.30796
9.32149
.32155
.32161
.32168
.30965
.20968
.20971
.20974
9.32516
.32522
.32528
.32534
.21143
.31146
.31149
.31153
60
59
58
57
+ r
5
6
7
9.31061
.31068
.31074
.31080
.20446
.30449
.30452
.30455
9.31434
.31440
.31447
.31453
.20623
.30636
.30639
.30631
.30634
.20637
.30640
.30643
9.31805
.31811
.31817
.31823
.30799
.30803
.30805
.30808
9.32174
.32180
.32186
.32192
.30977
.30980
.20983
.20986
9.32541
.32547
.32553
.32559
9.32565
.32571
.32577
.32583
.31155
.31158
.31161
.31164
56
55
64
53
+ 2^
9
10
11
9.31086
.31093
.31099
.31105
.30458
.20461
.30464
.30467
9.31459
.31465
.31471
.31478
9.31830
.31836
.31842
.31848
.30811
.30814
.30817
.30830
9.32198
.32204
.32210
.32217
9.32223
.32229
.32235
.32241
.20989
.20991
.20994
.20997
.31167
.31169
.31173
.31175
52
51
50
49
48
47
46
45
+ 3'
13
U
15
9.31111
.31117
.31124
.31130
.30470
.30473
.20476
.30479
9.31484
.31490
.31496
.31502
.30646
.30649
.30653
.30655
9.31854
.31860
.31867
.31873
.30833
.30836
.30839
.30833
.21000
.21003
.21006
.21009
9.32589
.32595
.32601
.32608
.31178
.31181
.31184
.31187
+ 4'
17
18
19
9.31136
.31142
.31149
.31155
.30481
.30484
.30487
.30490
9.31508
.31515
.31521
.31527
.30658
.30661
.30664
.30667
9.31879
.31885
.31891
.31897
.30835
.30838
.30841
.30844
9.32247
.32253
.32259
.32266
.31013
.31015
.31018
.31031
9.32614
.32620
.32626
.32632
.31190
.31193
.31196
.21199
44
43
42
41
+ 5'
21
22
23
9.31161
.31167
.31173
.31180
.30493
.30486
.30499
.30503
9.31533
.31539
.31546
.31552
.30670
.30673
.30675
.30678
9.31903
.31910
.31916
.31922
.30847
.30850
.30853
.30855
9.32272
.32278
.32284
.32290
.21024
.31027
.21030
.21033
9.32638
.32644
.32650
.32656
.21202
.21205
.21208
.21211
40
39
38
37
+ 6^
25
26
27
9.31186
.31192
.31198
.31205
.30505
.30508
.30511
.30514
9.31558
.31564
.31570
.31577
.30681
.30684
.30687
.20690
9.31928
.31934
.31940
.31947
.30858
.30861
.30864
.30867
9.32296
.32302
.32308
.32315
.31036
.31039
.31043
.21045
9.32662
.32668
.32675
.32681
.21214
.21217
.21220
.21233
36
35
34
S3
+ r
29
30
31
9.31211
.31217
.31223
.31229
.30517
.30530
.30523
.20525
9.31583
.31589
.31595
.31601
.20693
.20696
.30699
.30702
9.31953
.31959
.31965
.31971
.30870
.30873
.30876
.30879
9.32321
.32327
.32333
.32339
.21048
.21051
.21054
.21057
9.32687
.32693
.32699
.32705
.31336
.31339
.31333
.21335
32
31
30
29
+ 8'
33
34
35
9.31236
.31242
.31248
.31254
.20528
.20531
.20534
.20537
9.31607
.31614
.31620
.31626
.30705
.30708
.30711
.30714
9.31977
.31983
.31990
.31996
.30883
.30885
.30888
.30891
9.32345
.32351
.32357
.32363
.31060
.31063
.31066
.31069
9.32711
.32717
.32723
.32729
.21338
.31241
.31344
.31347
28
27
26
25
24
23
22
21
20
19
18
11
+ r
37
38
39
9.31260
.31267
.31273
.31279
.20540
.20543
.20546
.20549
9.31632
.31638
.31644
.31651
.30717
.30730
.30723
.20726
9.32002
.32008
.32014
.32020
.30894
.30897
.30900
.20903
9.32370
.32376
.32382
.32388
.31072
.21074
.21077
.21080
9.32735
.32741
.32748
.32754
.31350
.31353
.31256
.21259
+ 10^
41
42
43
9.31285
.31291
.31298
.31304
.20553
.30555
.30558
.20561
9.31657
.31663
.31669
.31675
.20729
.20731
.20734
.20737
9.32026
.32033
.32039
.32045
.20906
.20909
.20912
.20915
9.32394
.32400
.32406
.32412
.21083
.21086
.21089
.21092
9.32760
.32766
.32772
.32778
.31363
.31265
.21268
.21271
+ ir
45
46
47
9.31310
.31316
.31323
.31329
.30564
.30567
.30570
.30573
9.31682
.31688
.31694
.31700
.30740
.30743
.30746
.30749
9.32051
.32057
.32063
.32069
.30918
.30930
.30933
.30936
9.32418
.32425
.32431
.32437
.21095
.21098
.31101
.21104
9.32784
.32790
.32796
.32802
.31374
.31377
.21380
.31283
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
+ n'
49
50
51
9.31335
.31341
.31347
.31354
.30575
.30578
.30581
.30584
9.31706
.31712
.31719
.31725
.30753
.30755
.20758
.30761
9.32076
.32082
.32088
.32094
.30939
.30933
.30935
.30938
9.32443
.32449
.32455
.32461
.21107
.21110
.21113
.21116
9.32808
.32814
.32820
.32827
.31385
.21388
.21291
.21394
+ 13^
53
54
55
9.31360
.31366
.31372
.31378
.30587
.30590
.30593
.30596
9.31731
.31737
.31743
.31749
.30764
.20767
.20770
.20773
9.32100
.32106
.32112
.32119
.30941
.30944
.30947
.30950
9.32467
.32473
.32480
.32486
.21119
.21122
.21125
.21128
9.32833
.32839
.32845
.32851
.31397
.21300
.21303
.21306
57
58
59
9.31385
.31391
.31397
.31403
.30599
.30603
.20605
.20608
9.31756
.31762
.31768
.31774
.30776
.30779
.30782
.20785
9.32125
.32131
.32137
.32143
.30953
.30956
.30959
.30963
9.32492
.32498
.32504
.32510
.31131
.31134
.31137
.21140
9.32857
.32863
.32869
.32875
.21309
.21312
.21315
.21318
+ W
9.31409
.20611
9.31780
.30788
9.32149
.30965
9.32516
.21143
9.32881
.31321
20h 24^
20h 23m
20^ 22m.
20^ 21m
20^ 20m
Page 88]
TABLE IV.
Haversines.
s
3^40^
» 55° 0'
3h4im
55° 15'
3h 42m 55° 3(K
Sh 4Sm
55° 45'
3h 44m
56° 0'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Ilav.
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav.
1
2
3
9.32881
.32887
.32893
.32899
.21331
.31334
.31337
.31330
9.33244
.33250
.33256
.33262
.21500
.21503
.21506
.21509
9.33605
.33611
.33617
.33623
.21680
.21683
.21686
.21689
9.33965
.33971
.33976
.33982
.21860
.21863
.21866
.21869
9.34322
.34328
.34334
.34340
.22040
.32043
.22046
.22049
60
59
58
57
+ r
5
6
7
9.32905
.32911
.32918
.32924
.31333
.31336
.21339
.21342
9.33268
.33274
.33280
.33286
.21513
.21515
.21518
.21521
9.33629
.33635
.33641
.33647
.21692
.21695
.21698
.21701
9.33988
.33994
.34000
.34006
.21873
.31875
.31878
.21881
9.34346
.34352
.34358
.34363
.22053
.23055
.32058
.33061
56
55
54
53
+ V
9
10
11
9.32930
.32936
.32942
.32948
.31345
.31348
.31351
.31354
9.33292
.33298
.33305
.33311
.21534
.21527
.21530
.21533
9.33653
.33659
.33665
.33671
.21704
.21707
.21710
.21713
9.34012
.34018
.34024
.34030
.21884
.21887
.21890
.21893
9.34369
.34375
.34381
.34387
.32064
.22067
.33071
.33074
52
51
50
49
+ 3'
13
14
15
9.32954
.32960
.32966
.32972
.21357
.21360
.21363
.31366
9.33317
.33323
.33329
.33335
.21536
.21539
.21542
.21545
9.33677
.33683
.33689
.33695
.21716
.21719
.21722
.21725
9.34036
.34042
.34048
.34054
.31896
.31899
.21902
.21905
9.34393
.34399
.34405
.34411
.33077
.33080
.33083
.22086
48
47
46
45
+ 4'
17
18
19
9.32978
.32984
.32990
.32996
.21369
.21372
.21375
.21378
9.33341
.33347
.33353
.33359
.21548
.21551
.21554
.21557
9.33701
.33707
.33713
.33719
.21728
.21731
.21734
.21737
9.34060
.34066
.34072
.34078
.21908
.21911
.21914
.21917
9.34417
.34423
.34429
.34435
.22089
.22092
.22095
.32098
44
43
42
41
+ 5'
21
22
23
9.33002
.33008
.33014
.33021
.31381
.31384
.31387
.31390
9.33365
.33371
.33377
.33383
.21560
.21563
.21566
.21569
9.33725
.33731
.33737
.33743
.31740
.31743
.21746
.21749
9.34084
.34090
.34096
.34102
.21920
.21933
.31926
.31929
9.34441
.34446
.34452
.34458
.22101
.22104
.22107
.22110
40
39
38
37
+ 6'
25
26
27
9.33027
.33033
.33039
.33045
.21393
.21396
.21399
.21402
9.33389
.33395
.33401
.33407
.21572
.21575
.21578
.21581
9.33749
.33755
.33761
.33767
.21752
.21755
.21758
.21761
9.34108
.34114
.34120
.34126
.21932
.21935
.21938
.21941
9.34464
.34470
.34476
.34482
.22113
.22116
.22119
.22123
36
35
34
33
+ r
29
30
31
9.33051
.33057
.33063
.33069
.21405
.21408
.31411
.31414
9.33413
.33419
.33425
.33431
9.33437
.33443
.33449
.33455
.21584
.21587
.21590
.21593
.21596
.21599
.21602
.21605
9.33773
.33779
.33785
.33791
.21764
.21767
.21770
.21773
9.34132
.34137
.34143
.34149
.21944
.21947
.21950
.21953
9.34488
.34494
.34500
.34506
.32125
.22128
.22131
.22134
32
31
30
29
+ 8'
33
34
35
9.33075
.33081
.33087
.33093
.21417
.21430
.21423
.21426
9.33797
.33803
.33809
.33815
.21776
.21779
.21782
.21785
9.34155
.34161
.34167
.34173
.21956
.31959
.21962
.21965
9.34512
.34518
.34524
.34529
.22137
.22140
.22143
.22146
28
27
26
25
+ ^
37
38
39 ^
9.33099
.33105
.33111
.33117
.21429
.21431
.21434
.21437
9.33461
.33467
.33473
.33479
.21608
.21611
.21614
.21617
9.33821
.33827
.33833
.33839
.21788
.21791
.21794
.21797
9.34179
.34185
.34191
.34197
.21968
.21971
.21974
.21977
9.34535
.34541
.34547
.34553
.22149
.22152
.32155
.22158
24
23
22
Ti
+ W
41
42
43
9.33123
.33129
.33135
.33142
.21440
.21443
.21446
.21449
9.33485
.33491
.33497
.33503
.21630
.21623
.21626
.21629
9.33845
.33851
.33857
.33863
.21800
.21803
.21806
.31809
9.34203
.34209
.34215
.34221
.31980
.31983
.21986
.21989
9.34559
.34565
.34571
.34577
.22161
.22164
.22167
.22170
20
19
18
17
+ 11^
45
46
47
9.33148
.33154
.33160
.33166
.21452
.21455
.31458
.31461
9.33509
.33515
.33521
.33527
.31633
.21635
.21638
.21641
9.33869
.33875
.33881
.33887
.21812
.21815
.21818
.21821
.21834
.31837
.31830
.31833
9.34227
.34233
.34239
.34245
.31993
.21995
.21998
.22001
9.34583
.34589
.34595
.34600
.33173
.22176
.22179
.22182
16
15
14
13
12
11
10
9
+ 13'
49
50
51
9.33172
.33178
.33184
.33190
.21464
.21467
.21470
.21473
9.33533
.33539
.33545
.33551
.21644
.21647
.21650
.21653
9.33893
.33899
.33905
.33911
9.34251
.34256
.34262
.34268
.22004
.22007
.22010
.22013
9.34606
.34612
.34618
.34624
.22185
.22188
.22191
.23194
+ 13'
53
54
55
9.33196
.33202
.33208
.33214
.21476
.21479
.21482
.21485
9.33557
.33563
.33569
.33575
.21656
.21659
.21662
.21665
9.33917
.33923
.33929
.33935
.21836
.21839
.21843
.21845
9.34274
.34280
.34286
.34292
.22016
.22019
.33032
.22035
9.34630
.34636
.34642
.34648
.22197
.22300
.22303
.22206
8
7
6
5
+ 14'
57
58
59
9.33220
.33226
.33232
.33238
.21488
.21491
.31494
.31497
9.33581
.33587
.33593
.33599
.21668
.21671
.21674
.21677
9.33941
.33947
.33953
.33959
.21848
.21851
.31854
.21857
9.34298
.34304
34310
.34316
.22028
.32031
.22034
.22037
9.34654
.34660
.34666
.34671
.22309
.22313
.22315
.22318
4
3
2
"1
+ 16'
9.33244
.31500
9.33605
.21680
9.33965
.21860
9.34322
.22040
9.34677
.23321
20^
igm
20Jil8m
20h 17m
20h 16m- 1
20h 15m 1
TABLE IV. [Page 89
Haversines.
s
3h 45m 56° 15'
3h 46m 56° 30^
3h 47m 56° 45'
3^ 4Sm 67° 0'
3h 49m 67° 15'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat .Hav.
1
2
3
9.34677
.34683
.34689
.34695
.22231
.22225
.22338
.32331
9.35031
.35037
.35043
.35049
.23403
.33406
.33409
.33413
9.35383
.35389
.35394
.35400
.22585
.23588
.33591
.33594
9.35733
.35738
.35744
.35750
.22768
.23771
.33774
.33777
9.36081
.36086
.36092
.36098
.33951
.33954
.33957
.22960
60
59
58
57
+ 1'
5
6
7
9.34701
.34707
.34713
.34719
.23334
.33337
.33340
.33343
9.35054
.35060
.35066
.35072
.33415
.33418
.33431
.33434
.33437
.23430
.33433
.33437
9.35406
.35412
.35418
.35424
.33598
.33601
.33604
.33607
9.35756
.35762
.35767
.35773
.33780
.33783
.33786
.33789
9.36104
.30110
.36115
.36121
.22964
.22967
.33970
.32973
56
55
54
53
+ 2'
9
10
11
9.34725
.34730
.34736
.34742
.22246
.33349
.33353
.33355
9.35078
.35084
.35090
.35096
9.35429
.35435
.35441
.35447
.33610
.22613
.22616
.22619
9.35779
.35785
.35791
.35797
.33792
.22795
.22799
.22803
9.36127
.36133
.36139
.36144
.33976
.33979
.33982
.33985
52
51
50
49
+ 3'
13
14
15
9.34748
.34754
.34760
.34766
.33258
.23361
.33364
.22267
9.35101
.35107
.35113
.35119
.33440
.33443
.33446
.33449
9.35453
.35459
.35464
.35470
.23632
.22625
.22628
.22631
9.35802
.35808
.35814
.35820
.33805
.33808
.33811
.33814
9.36150
.36156
.36162
.36167
.22988
.22991
.23994
.22997
48
47
46
45
+ 4'
17
18
19
9.34772
.34778
.34784
.34789
.33370
.33373
.33376
.23379
9.35125
.35131
.35137
.35143
.22452
.22455
.22458
.23461
9.35476
.35482
.35488
.35494
.22634
.22637
.33640
.22643
9.35826
.35831
.35837
.35843
.33817
.32820
.22823
.22836
9.36173
.36179
.36185
.36191
.23000
.23003
.33006
.23009
44
43
42
41
40
39
38
37
+ 5'
21
22
23
9.34795
.34801
.34807
.34813
.33383
.33385
.32288
.22291
9.35148
.35154
.35160
.35166
.22464
.22467
.22470
.33473
9.35500
.35505
.35511
.35517
.22646
.22649
.22652
.22655
9.35849
.35855
.35860
.35866
.33829
.33832
.22835
.22838
9.36196
.36202
.36208
.36214
.23013
.33016
.33019
.23033
+ 6'
f7
9.34819
.34825
.34831
.34837
.23294
.22297
.23300
.33303
9.35172
.35178
.35184
.35189
.23476
.33479
.22483
.22485
9.35523
.35529
.35535
.35540
.22658
.22661
.23664
.23667
9.35872
.35878
.35884
.35889
.22841
.22844
.22847
.22850
9.36219
.36225
.36231
.36237
.23025
.23028
.23031
.23034
36
35
34
33
+ r
29
SO
31
9.34843
.34848
.34854
.34860
.33306
.33309
.33313
.33315
9.35195
.35201
.35207
.35213
.22488
.22491
.23494
.33497
9.35546
.35552
.35558
.35564
.33671
.22674
.22677
.22680
9.35895
.35901
.35907
.35913
.22853
.22857
.22860
.22863
9.36243
.36248
.36254
.36260
.23037
.23040
.23043
.23046
32
31
30
29
+ 8'
33
34
35
9.34866
.34872
.34878
.34884
.32318
.22321
.22334
.23337
9.35219
.35225
.35230
.35236
.33500
.23503
.33506
.33509
9.35570
.35575
.35581
.35587
.22683
.22686
.33689
.33693
9.35918
.35924
.35930
.35936
.22866
.23869
.33873
.33875
9.36266
.36271
.36277
.36283
.23049
.33053
.23055
.23058
28
27
26
25
24
23
22
21
+ y
57
55
59
9.34890
.34896
.34901
.34907
.22330
.22333
.33336
.22340
9.35242
.35248
.35254
.35260
.33513
.33515
.33518
.22522
9.35593
.35599
.35604
.35610
.22695
.22698
.23701
.22704
9.35942
.35947
.35953
.35959
.22878
.22881
.23884
.22887
9.36289
.36294
.36300
.36306
.23061
.23065
.23068
.23071
+ W
41
42
43
9.34913
.34919
.34925
.34931
.33343
.32346
.22349
.22353
9.35266
.35271
.35277
.35283
.22535
.22528
.22531
.22534
9.35616
.35622
.35628
.35634
.23707
.33710
.22713
.22716
9.35965
.35971
.35976
.35982
.23890
.33893
.33896
.33899
9.36312
.36318
.36323
.36329
.23074
.23077
.23080
.23083
20
19
18
17
+ ir
45
46
47
9.34937
.34943
.34949
.34954
.22355
.22358
.23361
.22364
9.35289
.35295
.35301
.35307
.33537
.32540
.23543
.33546
9.35639
.35645
.35651
.35657
.22719
.22722
.22735
.33738
9.35988
.35994
.36000
.36005
.33903
.33905
.33908
.33913
9.36335
.36341
.36346
.36352
.23086
.23089
.23092
.33095
16
15
14
13
+ ir
49
50
51
9.34960
.34966
.34972
.34978
.23367
.22370
.22373
.22376
9.35312
.35318
.35324
.35330
.33549
.33553
.33555
.22558
9.35663
.35669
.35674
.35680
.22731
.23735
.33738
.22741
9.36011
.36017
.36023
.36029
.23915
.22918
.22931
.33934
9.36358
.36364
.36369
.36375
.33098
.33101
.33104
.23107
12
11
10
9
+ W
53
54
55
9.34984
.34990
.34996
.35002
.23379
.33383
.22385
.23388
9.35336
.35342
.35348
.35353
.22561
.23564
.33567
.33570
9.35686
.35692
.35698
.35703
.22744
.22747
.22750
.22753
9.36034
.36040
.36046
.36052
.23927
.22930
.22933
.23936
9.36381
.36387
.36392
.36398
.23110
.23114
.23117
.23120
S
7
6
5
+ U'
57
58
59
9.35007
.35013
.35019
.35025
.23391
.32394
.22397
.23400
9.35359
.35365
.35371
.35377
.33573
.22576
.22579
.22582
9.35709
.35715
.35721
.35727
.23756
.33759
.33763
.33765
9.36058
.36063
.36069
.36075
.33939
.33943
.33945
.32948
9.36404
.36410
.36415
.36421
.23123
.23126
.23139
.23132
4
3
2
1
+ 15'
9.35031
.22403
9.35383
.22585
9.35733
.22768
9.36081
.23951
9.36427
.23135
20h 14m 1
20^ ISm 1
20h 12m 1
20^ lim 1
20h iffm 1
Page 90] TABLP] IV.
Haversixiea.
s
3h 50m 57° SCK
3h 5im 57° 45'
3h 52m 58° 0'
3^ 53m 58° 15'
3^ 54^ 58° 30'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat Hav.
i 'I
S
9.36427
.36433
.36439
.36444
.23135
.23138
.23141
.23144
9.36772
.36777
.36783
.36789
.23319
.23322
.23325
.23329
9.37114
.37120
.37126
.37131
.23504
.23507
.23510
.23513
9.37455
.37461
.37467
.37472
.23689
.23692
.23695
.23699
9.37794
.37800
.37806
.37811
.23875
.23878
.23881
.23884
60
59
58
67
+ 1'
.5
1
9.36450
.36456
.36462
.36467
.23147
.23150
.23153
.23156
9.36794
.36800
.36806
.36812
.23332
.23335
.23338
.23341
9.37137
.37143
.37148
.37154
.23516
.23519
.23523
.23526
9.37478
.37484
.37489
.37495
.23702
.23705
.23708
.23711
9.37817
.37823
.37828
.37834
.23887
.23891
.23894
.23897
56
55
54
53
+ r.
9 '
10 "
11
9.36473
.36479
.36485
.36490
.23160
.23163
.23166
.23169
9.36817
.36823
.36829
.36834
.23344
.23347
.23350
.23353
9.37160
.37166
.37171
.37177
.23529
.23532
.23535
.23538
9.37501
.37506
.37512
.37518
.23714
.23717
.23720
.23723
9.37840
.37845
.37851
.37856
.23900
.23903
.23906
.23909
62
51
50
49
+ 3^
13
14
15
9.36496
.36502
.36508
.36513
.23172
.23175
.23178
.23181
9.36840
.36846
.36852
.36857
.23356
.23359
.23362
.23365
9.37183
.37188
.37194
.37200
.23541
.23544
.23547
.23550
9.37523
.37529
.37535
.37540
.23726
.23729
.23733
.23736
9.37862
.37868
.37873
.37879
.23912
.23915
.23918
.23922
48
47
46
45
44
43
42
41
+ i'
17
18
19
9.36519
.36525
.36531
.36536
.23184
.23187
.23190
.23193
9.36863
.36869
.36875
.36880
.23368
.23372
.23375
.23378
9.37205
.37211
.37217
.37222
.23553
.23556
.23560
.23563
9.37546
.37552
.37557
.37563
.23739
.23742
.23745
.23748
9.37885
.37890
.37896
.37902
.23925
.23928
.23831
.23934
+ 5'
21
22
23
9.36542
.36548
.36554
.36559
.23196
.23199
.23203
.23206
9.36886
.36892
.36897
.36903
.23381
.23384
.23387
.23390
9.37228
.37234
.37239
.37245
.23566
.23569
.23572
.23575
9.37569
.37574
.37580
.37585
.23751
.23754
.23757
.23760
9.37907
.37913
.37918
.37924
.23937
.23940
.23943
.23946
40
39
38
37
+ 6^
25
26
27
9.36565
.36571
.36577
.36582
.23209
.23212
.23215
.23218
9.36909
.36915
.36920
.36926
.23393
.23396
.23399
.23402
9.37251
.37257
.37262
.37268
.23578
.23581
.23584
.23587
9.37591
.37597
.37602
.37608
.23764
.23767
.23770
.23773
9.37930
.37935
.37941
.37947
.23950
.23953
.23956
.23959
36
35
34
S3
+ r
29
30
31
9.36588
.36594
.36599
.36605
.23221
.23224
.23227
.23230
9.36932
.36937
.36943
.36949
.23405
.23409
.23412
.23415
9.37274
.37279
.37285
.37291
.23590
.23594
.23597
.23600
9.37614
.37619
.37625
.37631
.23776
.23779
.23782
.23785
9.37952
.37958
.37963
.37969
.23962
.23965
.23968
.23971
32
31
30
29
+ 8'
33
34
35
9.36611
.36617
.36622
.36628
.23233
.23236
.23239
.23242
9.36955
.36960
.36966
.36972
.23418
.23421
.23424
.23427
9.37296
.37302
.37308
.37313
.23603
.23606
.23609
.23612
9.37636
.37642
.37648
.37653
.23788
.23791
.23795
.23798
9.37975
.37980
.37986
.37992
.23974
.23977
.23981
.23984
28
27
26
25
+ 9'
37
38
39
9.36634
.36640
.36645
.36651
.23246
.23249
.23252
.23255
9.36977
.36983
.36989
.36995
.23430
.23433
.23436
.23439
9.37319
.37325
.37330
.37336
.23615
.23618
.23621
.23624
9.37659
.37665
.37670
.37676
.23801
.23804
.23807
.23810
9.37997
.38003
.38008
.38014
.23987
.23990
.23993
.23996
24
23
22
21
+ 10'
41
42
43
9.36657
.36663
.36668
.36674
.23258
.23261
.23264
.23267
9.37000
.37006
.37012
.37017
.23442
.23445
.23449
.23452
9.37342
.37347
.37353
.37359
.23627
.23631
.23634
.23637
9.37682
.37687
.37693
.37699
.23813
.23816
.23819
.23822
9.38020
.38025
.38031
.38037
.23999
.24002
.24005
.24009
20
19
18
17
+ ir
45
46
47
9.36680
.36686
.36691
.36697
.23270
.23273
.23276
.23279
9.37023
.37029
.37034
.37040
.23455
.23458
.23461
.23464
9.37364
.37370
.37376
.37382
.23640
.23643
.23646
.23649
9.37704
.37710
.37715
.37721
.23825
.23829
.23832
.23835
9.38042
.38048
.38053
.38059
.24012
.24015
.24018
.24021
16
15
14
13
+ ir
49
50
51
9.36703
.36708
.36714
.36720
.23282
.23285
.23289
.23292
9.37046
.37052
.37057
.37063
.23467
.23470
.23473
.23476
9.37.387
.37393
.37399
.37404
.23652
.23655
.23658
.23661
9.37727
.37732
.37738
.37744
.23838
.23841
.23844
.23847
9.38065
.38070
.38076
.38081
.24024
.24027
.24030
.24033
12
11
10
9
4- 13'
53
54
55
9.36726
.36731
.36737
.36743
.23295
.23298
.23301
.23304
9.37069
.37074
.37080
.37086
.23479
.23482
.23486
.23489
9.37410
.37416
.37421
.37427
.23665
.23668
.23671
.23674
9.37749
.37755
.37761
.37766
.23850
.23853
.23856
.23860
9.38087
.38093
.38098
.38104
.24036
.24040
.24043
.24046
.24049
.24052
.24055
.24058
8
7
6
5
4
3
2
1
+ 14'
57
58
59
9.36749
.36754
.36760
.36766
.23307
.23310
.23313
.23316
9.37091
.37097
.37103
.37109
.23492
.23495
.23498
.23501
9.37433
.37438
.37444
.37450
.23677
.23680
.23683
.23686
9.37772
.37778
.37783
.37789
.23863
.23866
.23869
.23872
9.38110
.38115
.38121
.38126
+ IS'
9.36772
.23319
9.37114
.23504
9.37455
.23689
9.37794
.23875
9.38132
.24061
fOApm
20hSm
20^ 7m,
20^ fim
20h5m
TABLE IV. [Page 91
Havereinea.
s
5ft 55m 68° 45'
3^ 56"* 59° 0'
Sh 57m 59° 15'
Sh 58m 59° ZQ' |
3h 59m 59° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Ilav.
Log. Hav. Nat. Hav.
1
2
S
9.38132
.38138
.38143
.38149
.34061
.24064
.24068
.24071
9.38468
.38473
.38479
.38485
.34348
.34351
.34354
.34357
9.38802
.38807
.38813
.38819
.34435
.24438
.24443
.34445
9.39134
.39140
.39145
.39151
.34633
.34636
.34639
.34633
9.39465
.39470
.39476
.39481
.348U
.34814
.34818
.34831
60
59
58
57
+ r
5
6
7
9.38154
.38160
.38166
.38171
.24074
.34077
.24080
.24083
9.38490
.38496
.38501
.38507
.24261
.34264
.34267
.34370
9.38824
.38830
.38835
.38841
.34448
.34451
.34454
.34457
9.39156
.39162
.39167
.39173
.34636
.34639
.34843
.34645
9.39487
.39492
.39498
.39503
.34834
.34837
.34830
.34833
56
55
54
53
+ V
9
10
11
9.38177
.38182
.38188
.38194
.24086
.24089
.34092
.24096
9.38512
.38518
.38524
.38529
.24273
.24376
.34379
.34383
9.38846
.38852
.38857
.38863
.34460
.34463
.34467
.34470
9.39178
.39184
.39189
.39195
.34648
.34651
.34654
.34658
9.39509
.39514
.39520
.39525
.34836
.34840
.34843
.34846
52
51
50
49
48
47
46
45
+ 3'
13
14
15
9.38199
.38205
.38210
.38216
.34099
.34102
.34105
.34108
9.38535
.38540
.38546
.38551
.24386
.34389
.34393
.34395
9.38868
.38874
.38880
.38885
.34473
.34476
.24479
.24482
9.39201
.39206
.39212
.39217
.34661
.34664
.34667
.34670
9.39531
.39536
.39542
.39547
.34849
.34853
.34855
.34858
+ 4'
17
18
19
9.38222
.38227
.38233
.38239
.34111
.34114
.24117
.24130
9.38557
.38563
.38568
.38574
.34398
.34301
.34304
.34307
9.38891
.38896
.38902
.38907
.24485
.24488
.34492
.34495
9.39223
.39228
.39234
.39239
.34673
.34676
.34680
.34683
9.39553
.39558
.39564
.39569
.34863
.34865
.34868
.34871
44
43
42
41
+ 6'
21
22
23
9.38244
.38250
.38255
.38261
.34134
.24137
.34130
.34133
9.38579
.38585
.38590
.38596
.34310
.34314
.34317
.34330
9.38913
.38918
.38924
.38929
.34498
.34501
.34504
.34507
9.39245
.39250
.39256
.39261
.34686
.34689
.34693
.34695
9.39575
.39580
.39586
.39591
.34874
.34877
.34880
.34884
40
39
38
37
+ 6'
25
26
27
9.38267
.38272
.38278
.38283
.34136
.34139
.34143
.34145
9.38602
.38607
.38613
.38618
.34333
.34336
.34339
.34333
9.38935
.38941
.38946
.38952
.34510
.34514
.34517
.34530
9.39267
.39272
.39278
.39283
.34698
.34701
.34705
.34708
9.39597
.39602
.39608
.39613
.34887
.34890
.34893
.34896
36
35
34
33
^9
30
31
9.38289
.38295
.38300
.38306
.34148
.34153
.34155
.34158
9.38624
.38629
.38635
.38641
.34335
.34339
.34343
.34345
9.38957
.38963
.38968
.38974
.34533
.34536
.34539
.34533
9.39289
.39294
.39300
.39305
.34711
.34714
.34717
.24730
9.39619
.39624
.39630
.39635
.34899
.34903
.34906
.34909
32
31
SO
29
28
27
26
25
+ 8'
33
34
35
9.38311
.38317
.38322
.38328
.34161
.34164
.24167
.24170
9.38646
.38652
.38657
.38663
.24348
.24351
.34354
.34357
9.38979
.38985
.38990
.38996
.34535
.34539
.34543
.34545
9.39311
.39316
.39322
.39327
.34733
.34737
.34730
.34733
9.39641
.39646
.39652
.39657
.34913
.34915
.34918
.34931
+ 9^
37
38
39
9.38334
.38339
.38345
.38350
.24173
.24176
.24180
.24183
9.38668
.38674
.38680
.38685
.34360
.34364
.34367
.34370
9.39002
.39007
.39013
.39018
.34548
.34551
.34554
.34557
9.39333
.39338
.39344
.39349
.34736
.34739
.34743
.34745
9.396G3
.39668
.39674
.39679
.34934
.34938
.34931
.34934
24
23
22
21
+ 10'
41
42
43
9.38356
.38362
.38367
.38373
.34186
.24189
.24193
.34195
9.38691
.38696
.38702
.38707
.34373
.34376
.34379
.34383
9.39024
.39029
.39035
.39040
.34560
.34564
.34567
.34570
9.39355
.39360
.39366
.39371
.34749
.34753
.34755
.34758
9.39685
.39690
.39695
.39701
.34937
.34940
.34943
.34946
.34950
.34953
.34956
.34959
20
19
18
17
16
15
14
13
+ 11'
45
46
47
9.38378
.38384
.38390
.38395
.34198
.34301
.34304
.34308
9.38713
.38719
.38724
.38730
.34385
.34388
.34393
.34395
9.39046
.39051
.39057
.39062
.34573
.34576
.34579
.34583
9.39377
.39382
.39388
.39393
.34761
.34764
.34767
.34770
9.39706
.39712
.39717
.39723
+ 12'
49
50
51
9.38401
.38406
.38412
.38418
.34211
.24214
.34217
.34330
9.38735
.38741
.38746
.38752
.34398
.34401
.34404
.34407
9.39068
.39073
.39079
.39085
.34586
.34589
.34593
.34595
9.39399
.39404
.39410
.39415
.34774
.34777
.34780
.34783
9.39728
.39734
.39739
.39745
.34963
.34965
.34969
.34973
12
11
10
9
+ 13^
53
54
55
9.38423
.38429
.38434
.38440
.34333
.34336
.34339
.34333
9.38757
.38763
.38769
.38774
.34410
.34413
.34417
.34430
9.39090
.39096
.39101
.39107
.24598
.24601
.34604
.34607
9.39421
.39426
.39432
.39437
.34786
.34789
.34793
.34796
9.39750
.39756
.39761
.39767
.34975
.34978
.34981
.34984
8
7
6
5
+ W
57
58
59
9.38445
.38451
.38457
.38462
.34336
.34339
.34343
.34245
9.38780
.38785
.38791
.38796
9.38802'
.34433
.34436
.34439
.34433
.34435
9.39112
.39118
.39123
.39129
.34611
.34614
.34617
.34630
9.39443
.39448
.39454
.39459
9.39465
.34799
.34803
.34805
.34808
9.39772
.39778
.39783
.39789
.34987
.34991
.34994
.24997
4
3
2
1
+ 15'
9.38468
.34348
9.39134
.34623
.34811
9.39794
.35000
20^4^
20hsm
fOA^m
20h J»n
20f^0'^
Page 92] TABLE IV.
Haversines.
s
4h om 60° 0'
4h m 60° 15'
4h 2m 60° 30'
4h 3m 60° 45'
4h 4-^ 61° 0'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log.Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.3979^
.39799
.39805
.39810
.25000
.25003
.25006
.25009
9.40121
.40127
.40132
.40138
.25189
.25192
.25195
.25199
9.40447
.40453
.40458
.40463
.25379
.25382
.25385
.25388
9.40771
.40777
.40782
.40787
.25569
.25572
.25575
.25578
9.41094
.41099
.41105
.41110
.25760
.25763
.25766
.25769
60
59
58
57
+ r
5
6
7
9.39816
.39821
.39827
.39832
.25013
.25016
.25019
.25022
9.40143
.40149
.40154
.40159
.25202
.25205
.25208
.25211
9.40469
.40474
.40480
.40485
.25391
.25395
.25398
.25401
9.40793
.40798
.40804
.40809
.25582
.25585
.25588
.25591
9.41115
.41121
.41126
.41131
.25772
.25775
.25779
.25782
56
55
54
53
+ 3'
9
10
11
9.39838
.39843
.39849
.39854
.25025
.25028
.25032
.25035
9.40165
.40170
.40176
.40181
.25214
.25218
.25221
.25224
9.40490
.40496
.40501
.40507
.25404
.25407
.25410
.25414
9.40814
.40820
.40825
.40831
.25594
.25597
.25601
.25604
9.41137
.41142
.41147
.41153
.25785
.25788
.25791
.25795
52
51
50
49
+ 3^
IS
14
15
9.39860
.39865
.39871
.39876
.25038
.25041
.25044
.25047
9.40187
.40192
.40198
.40203
.25227
.25230
.25233
.25237
9.40512
.40518
.40523
.40528
.25417
.25420
.25423
.25426
9.40836
.40841
.40847
.40852
.25607
.25610
.25613
.25617
9.41158
.41163
.41169
.41174
.25798
.25801
.25804
.25807
48
47
46
45
+ 4'
17
18
19
9.39881
.39887
.39892
.39898
.25050
.25054
.25057
.25060
9.40208
.40214
.40219
.40225
.25240
.25243
.25246
.25249
9.40534
.40539
.40545
.40550
.25429
.25433
.25436
.25439
9.40858
.40863
.40868
.40874
.25620
.25623
.25626
.25629
9.41180
.41185
.41190
.41196
.25810
.25814
.25817
.25820
44
43
42
41
+ 5'
21
22
23
9.39903
.39909
.39914
.39920
.25063
.25066
.25069
.25072
9.40230
.40236
.40241
.40246
.25252
.25255
.25259
.25262
9.40555
.40561
.40566
.40572
.25442
.25445
.25448
.25452
9.40879
.40884
.40890
.40895
.25632
.25636
.25639
.25642
9.41201
.41206
.41212
.41217
.25823
.25826
.25830
.25833
40
39
38
37
36
35
34
33
+ 6^
25
26
27
9.39925
.39931
.39936
.39942
.25076
.25079
.25082
.25085
9.40252
.40257
.40263
.40268
.25265
.25268
.25271
.25274
9.40577
.40582
.40588
.40593
.25455
.25458
.25461
.25464
9.40900
.40906
.40911
40917
.25645
.25648
.25651
.25655
9.41222
.41228
.41233
.41238
.25836
.25839
.25842
.25845
+ r
29
30
31
9.39947
.39952
.39958
.39963
.25088
.25091
.25095
.25098
9.40274
.40279
.40284
.40290
.25278
.25281
.25284
.25287
9.40599
.40604
.40609
.40615
.25467
.25471
.25474
.25477
9.40922
.40927
.40933
.40938
.25658
.25661
.25664
.25667
9.41244
.41249
.41254
.41260
.25849
.25852
.25855
.25858
32
'31
30
29
28
27
26
25
24
23
22
21
+ S'
33
34
35
9.39969
.39974
.39980
.39985
.25101
.25104
.25107
.25110
9.40295
.40301
.40306
.40312
.25290
.25293
.25297
.25300
9.40620
.40626
.40631
.40636
.25480
.25483
.25487
.25490
9.40943
.40949
.40954
.40960
.25671
.25674
.25677
.25680
9.41265
.41270
.41276
.41281
.25861
.25865
.25868
.25871
+ 9'
37
38
39
9.39991
.39996
.40002
.40007
.25113
.25117
.25120
.25123
9.40317
.40322
.40328
.40333
.25303
.25306
.25309
.25312
9.40642
.40647
.40653
.40658
.25493
.25496
.25499
.25502
9.40965
.40970
.40976
.40981
.25683
.25686
.25690
.25693
9.41287
.41292
.41297
.41303
.25874
.25877
.25880
.25884
+ W
41
42
43
9.40012
.40018
.40023
.40029
.25126
.25129
.25132
.25136
9.40339
.40344
.40350
.40355
.25316
.25319
.25322
.25325
9.40663
.40669
.40674
.40680
.25506
.25509
.25512
.25515
9.40986
.40992
.40997
.41003
.25696
.25699
.25702
.25705
9.41308
.41313
.41319
.41324
.25887
.25890
.25893
.25896
20
19
18
17
+ 11'
45
46
47
9.40034
.40040
.40045
.40051
.25139
.25142
.25145
.25148
9.40360
.40366
.40371
.40377
.25328
.25331
.25335
.25338
9.40685
.40690
.40696
.40701
.25518
.25521
.25525
.25528
9.41008
.41013
.41019
.41024
.25709
.25712
.25715
.25718
9.41329
.41335
.41340
.41345
.25900
.25903
.25906
.25909
16
15
14
13
+ n'
49
50
51
9.40056
.40062
.40067
.40072
.25151
.25154
.25158
.25161
9.40382
.40388
.40393
.40398
.25341
.25344
.25347
.25350
9.40707
.40712
.40717
.40723
.25531
.25534
.25537
.25540
9.41029
.41035
.41040
.41046
.25721
.25724
.25728
.25731
9.41351
.41356
.41361
.41367
.25912
.25915
.25919
.25922
12
11
10
9
+ 13^
53
54
55
9.40078
.40083
.40089
.40094
.25164
.25167
.25170
.25173
9.40404
.40409
.40415
.40420
.25354
.25357
.25360
.25363
9.40728
.40734
.40739
.40744
.25544
.25547
.25550
.25553
9.41051
.41056
.41062
.41067
.25734
.25737
.25740
.25744
9.41372
.41377
.41383
.41388
.25925
.25928
.25931
.25935
8
7
6
5
+ W
57
58
59
9.40100
.40105
.40111
.40116
.25177
.25180
.25183
.25186
9.40425
.40431
.40436
.40442
.25366
.25369
.25372
.25376
9.40750
.40755
.40761
.40766
.25556
.25559
.25563
.25566
9.41072
.41078
.41083
.41088
.25747
.25750
.25753
.25756
9.41393
.41399
.41404
.41409
.25938
.25941
.25944
.25947
4
3
2
1
+ W
9.40121
.25189
9.40447
.25379
9.40771
.25569
9.41094
.25760
9.41415
.25951
19h 59m
19^ 58m
19h S7m
19k 56m
19^ 55m
TABLE IV. [Page 93
Haversineg.
s
4ft 5m 61° 15' 1
4ft 6"» 61° 3^ 1
4h 7m 61° 45'
4h 8^ 63° 0' 4f>' 9m 63° 15' |
3
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.41415
.41420
.41425
.41431
.25951
.25954
.25957
.25960
9.41734
.41739
.41745
.41750
.26142
.26145
.26148
.26152
9.42052
.42057
.42062
.42068
.26334
.36337
.26340
.26344
9.42368
.42373
.42378
.42384
.26526
.26530
.26533
.26536
9.42682
.42688
.42693
.42698
.26719
.26722
.26726
.36739
60
59
58
57
56 '
55
54
53
+ r
5
6
7
9.41436
.41441
.41447
.41452
.25963
.25966
.25970
.25973
9.41755
.41761
.41766
.41771
.26155
.26158
.26161
.26164
9.42073
.42078
.42083
.42089
.26347
.26350
.26353
.26356
9.42389
.42394
.42399
.42405
.26539
.26543
.26546
.26549
9.42703
.42709
.42714
.42719
.36732
.26735
.26739
.26742
+ 2^
9
10
11
9.41457
.41463
.41468
.41473
.25976
.25979
.25982
.25986
9.41776
.41782
.41787
.41792
.26168
.26171
.26174
.26177
9.42094
.42099
.42105
.42110
.26360
.26363
.26366
.26369
9.42410
.42415
.42420
.42426
.36552
.26555
.26559
.26562
9.42724
.42730
.42735
.42740
.26745
.26748
.26751
.26755
52
51
50
49
+ 3'
13
14
15
9.41479
.41484
.41489
.41495
.25989
.25992
.25995
.25998
9.41798
.41803
.41808
.41814
.26180
.26184
.26187
.26190
9.42115
.42120
.42126
.42131
.26372
.26376
' .26379
.26382
9.42431
.42436
.42441
.42447
.26565
,26568
.26571
.26575
9.42745
.42750
.42756
.42761
.36758
.36761
.36764
.26768
48
47
46
45
+ 4'
17
18
19
9.41500
.41505
.41511
.41516
.26002
.26005
.26008
.26011
9.41819
.41824
.41829
.41835
.26193
.26196
.26300
.26203
9.42136
.42141
.42147
.42152
.26385
.26389
.26393
.36395
9.42452
.42457
.42462
.42468
.26578
.26581
.26584
.26587
9.42766
.42771
.42777
.42782
.26771
.26774
.26777
.26780
44
4-3
42
41
+ 5'
21
22
23
9.41521
.41527
.41532
.41537
.26014
.26017
.26021
.26024
9.41840
.41845
.41851
.41856
.26206
.26209
.26212
.26216
9.42157
.42163
.42168
.42173
.26398
.26402
.26405
.26408
9.42473
.42478
.42483
.42489
.36591
.36594
.36597
.26600
9.42787
.42792
.42797
.42803
.26784
.26787
.26790
.26793
40
39
38
37
+ 6'
25
26
27
9.41543
.41548
.41553
.41559
.26027
.26030
.26033
.26037
9.41861
.41867
.41872
.41877
.26219
.26222
.26225
.26228
9.42178
.42184
.42189
.42194
.26411
.26414
.26417
.26421
9.42494
.42499
.42504
.42510
.26604
.26607
.26610
.26613
9.42808
.42813
.42818
.42824
.26797
.26800
.26803
.26806
36
35
34
33
29
SO
31
9.41564
.41569
.41575
.41580
.26040
.26043
.26046
.26049
9.41882
.41888
.41893
.41898
.26232
.26235
.26238
.26241
9.42199
.42205
.42210
.42215
.26434
.36437
.36430
.26433
9.42515
.42520
.42525
.42531
.26616
.26620
.26623
.26626
9.42829
.42834
.42839
.42844
.26809
.26813
.26816
.26819
32
31
SO
29
+ 8'
33
34
35
9.41585
.41590
.41596
.41601
.26053
.26056
.26059
.26062
9.41904
.41909
.41914
.41920
.26244
.26248
.26251
.26254
9.42221
.42226
.42231
.42236
.26437
.26440
.26443
.26446
9.42536
.42541
.42546
.42552
.26629
.26632
.26636
.26639
9.42850
.42855
.42860
.42865
.26823
.26836
.26839
.36832
28
27
26
25
+ 9^
37
38
39
9.41606
.41612
.41617
.41622
.26065
.26069
.26072
.26075
9.41925
.41930
.41935
.41941
.26257
.26260
.26264
.26267
9.42242
.42247
.42252
.42257
.36449
26453
.26456
.26459
9.42557
.42562
.42567
.42573
.26643
.36645
.36649
.26652
9.42870
.42876
.42881
.42886
.26835
.26838
.26842
.36845
24
23
22
21
+ 10'
41
42
43
9.41628
.41633
41638
.41644
.26078
.26081
.26085
.26088
9.41946
.41951
.41957
.41962
.26270
.26273
.26276
.26280
9.42263
.42268
.42273
.42278
.26462
.26465
.26469
.26472
9.42578
.42583
.42588
.42593
.26655
.26658
.26661
.26665
9.42891
.42897
.42902
.42907
.36848
.36851
.36855
.36858
20
19
18
17
+ 11'
45
46
47
9.41649
.41654
.41660
.41665
.26091
.26094
.26097
.26101
9.41967
.41972
.41978
.41983
.26283
.26286
.26289
.26292
9.42284
.42289
.42294
.42300
.26475
.26478
.26481
.26485
9.42599
.42604
.42609
.42614
.26668
.26671
.26674
.26677
9.42912
.42917
.42923
.42928
.26861
.26864
.26867
.26871
16
15
14
13
+ 12'
49
50
51
9.41670
.41676
.41681
.41686
.26104
.26107
.26110
.26113
9.41988
.41994
.41999
.42004
.26296
.26299
.26303
.26305
9.42305
.42310
.42315
.42321
.26488
.26491
.26494
.26498
9.42620
.42625
.42630
.42635
.26681
.26684
.26687
.26690
9.42933
.42938
.42943
.42949
.26874
.26877
.26880
.26883
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.41692
.41697
.41702
.41707
.26117
.26120
.26123
.26126
9.42009
.42015
.42020
.42025
.26308
.26312
.26315
.26318
9.42326
.42331
.42336
.42342
.26501
.26504
.26507
.26510
9.42641
.42646
.42651
.42656
.26694
.26697
.26700
.26703
9.42954
.42959
.42964
.42969
.26887
.26890
.26893
.36896
+ 14'
57
58
59
9.41713
.41718
.41723
.41729
.26129
.26132
.26136
.26139
9.42031
.42036
.42041
.42046
.26321
.26324
.26328
.26331
9.42347
.42352
.42357
.42363
.26514
.26517
.26520
.26523
9.42662
.42667
.42672
.42677
.26706
.26710
.36713
.26716
9.42975
.42980
.42985
.42990
.36900
.36903
.26906
.26909
4
3
2
1
+ 15'
9.41734
.26142
9.42052
.26334
9.42368
.26526
9.42682
.26719
9.42996
.26913
19h 54^
19^ 5Sm
19^ 52'm
19h 5im
19^50^
Page 94]
TABLE IV.
Haversines.
s
4ft lOm 63° 30'
4h nm 62° 45'
4h 12'">
63° 0'
4^ ISm 63° 15'
4h 14m
63° 3r
a
Log. Hav.
Nat. Hav.
Log. nav.
Nat. Hav.
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.42996
.43001
.43006
.43011
.26913
.26916
.26919
.26922
9.43307
.43312
.43317
.43323
.27106
.27110
.27113
.27116
9.43617
.43622
.43627
.43632
.27300
.27304
.27307
.37310
9.43926
.43931
.43936
.43941
.27495
.27498
.27502
.27505
9.44232
.44238
.44243
.44248
.37690
.27693
.27697
.27700
60
59
58
57
56
55
54
53
+ r
5
6
7
9.43016
.43022
.43027
.43032
.26925
.26929
.26932
.26935
9.43328
.43333
.43338
.43343
.27119
.27122
.27126
.27129
9.43638
.43643
.43648
.43653
.37313
.27317
.27320
.37333
9.43946
.43951
.43956
.43961
.27508
.27511
.27515
.27518
9.44253
.44258
.44263
.44268
.27703
.27706
.27710
.37713
+ 3'
9
10
11
9.43037
.43042
.43048
.43053
.26938
.26942
.26945
.26948
9.43348
.43354
.43359
.43364
.27132
.27135
.27139
.27142
9.43658
.43663
.43669
.43674
.37336
.27330
.27333
.27336
9.43967
.43972
.43977
.43982
.27521
.27524
.27528
.27531
9.44273
.44278
.44283
.44289
.37716
.37719
.37733
.37736
52
51
50
49
+ 3^
IS
14
15
9.43058
.43063
.43068
.43074
.26951
.26955
.26958
.26961
9.43369
.43374
.43380
.43385
.27145
.27148
.27152
.27155
9.43679
.43684
.43689
.43694
.27339
.27343
.27346
.27349
9.43987
.43992
.43997
.44002
.27534
.27537
.27541
.27544
9.44294
.44299
.44304
.44309
.37739
.27733
.27736
.27739
48
47
46
45
+ *'
17
18
19
9.43079
.43084
.43089
.43094
.26964
.26967
.26971
.26974
9.43390
.43395
.43400
.43405
.27158
.27161
.27165
.27168
9.43699
.43705
.43710
.43715
.27352
.27356
.27359
.27362
9.44008
.44013
.44018
.44023
.37547
.37550
.37554
.37557
9.44314
.44319
.44324
.44329
.27742
.27745
.37749
.37753
44
43
42
41
+ 5'
21
22
23
9.43100
.43105
.43110
.43115
.26977
.26980
.26984
.26987
9.43411
.43416
.43421
.43426
.37171
.37174
.37177
.27181
9.43720
.43725
.43730
.43735
.27365
.27369
.27372
.27375
9.44028
.44033
.44038
.44043
.37560
.37563
.37567
.37570
9.44334
.44340
.44345
.44350
.27755
.37758
.37763
.27765
40
39
38
37
+ 6'
25
26
27
9.43120
.43126
.43131
.43136
.26990
.26993
.26996
.27000
9.43431
.43436
.43442
.43447
.37184
.37187
.37190
.27194
9.43741
.43746
.43751
.43756
.27378
.27383
.37385
.37388
9.44048
.44054
.44059
.44064
.37573
.37576
.37580
.27583
9.44355
.44360
.44365
.44370
.27768
.27772
.27775
.27778
36
35
34
33
+ r
29
30
31
9.43141
.43146
.43151
43157
.27003
.27006
.37009
.27013
9.43452
.43457
.43462
.43467
.27197
.37300
.37303
.37307
9.43761
.43766
.43771
.43777
.37391
.37394
.37398
.37401
9.44069
.44074
.44079
.44084
.37586
.37589
.37593
.37596
9.44375
.44380
.44385
.44390
.37781
.37785
.37788
.27791
32
31
SO
29
+ 8'
33
34
35
9.43162
.43167
.43172
.43177
.27016
.27019
.27022
.27025
9.43473
.43478
.43483
.43488
.37210
.37313
.37316
.27330
9.43782
.43787
.43792
.43797
.27404
.27407
.27411
.27414
9.44089
.44095
.44100
.44105
.37599
.37603
.37606
.27609
9.44396
.44401
.44406
.44411
.37794
.37798
.27801
.37804
28
27
26
25
+ 9^
37
38
39
9.43183
.43188
.43193
.43198
.37029
.27032
.27035
.27038
9.43493
.43498
.43504
.43509
.27223
.27228
.27229
.37233
9.43802
.43807
.43813
.43818
.27417
.27420
.27424
.27437
9.44110
.44115
.44120
.44125
.37612
.27615
.27619
.27623
9.44416
.44421
.44426
.44431
.37807
.37811
.37814
.37817
24
23
22
21
+ W
41
42
43
9.43203
.43209
.43214
.43219
.27043
.27045
.27048
.27051
9.43514
.43519
.43524
.43529
.27236
.27239
.27242
.27245
9.43823
.43828
.43833
.43838
.37430
.37433
.37437
.37440
9.44130
.44135
.44141
.44146
.37625
.27638
.37633
.37635
9.44436
.44441
.44446
.44452
.37830
.37834
.27827
.37830
20
19
18
17
+ 11'
45
46
47
9.43224
.43229
.43234
.43240
.27055
.37058
.37061
.37064
9.43535
.43540
.43545
.43550
.27249
.27353
.37355
.27258
9.43843
.43849
,43854
.43859
.37443
.37446
.37450
.37453
9.44151
.44156
.44161
.44166
.37638
.37641
.37645
.37648
9.44457
.44462
.44467
.44472
.37833
.27837
.37840
.37843
16
15
14
13
+ n'
49
50
51
9.43245
.43250
.43255
.43260
.37068
.37071
.37074
.37077
9.43555
.43560
.43565
.43571
.27262
.37265
.27268
.27371
9.43864
.43869
.43874
.43879
.37456
.37459
.37463
.37466
9.44171
44176
.44181
.44187
.37651
.37654
.37658
.37661
9.44477
.44482
.44487
.44492
.37846
.37850
.37853
.27856
12
11
10
9
+ 13^
53
54
55
9.43266
.43271
.43276
.43281
.27080
.27084
.27087
.27090
9.43576
.43581
.43586
.43591
.27275
.27278
.27281
.27284
9.43884
.43890
.43895
.43900
.37469
.37473
.37476
.37479
9.44192
.44197
.44202
.44207
.37664
.37667
.37671
.37674
9.44497
.44502
.44507
.44513
.27859
.27863
.27866
.27869
8
7
6
5
4
3
2
1
57
58
59
9.43286
.43291
.43297
.43302
.27093
.27097
.27100
.27103
9.43596
.43602
.43607
.43612
.27288
.27291
.27294
.27297
9.43905
.43910
.43915
.43920
.37483
.37485
.37489
.37493
9.44212
.44217
.44222
.44227
.37677
.37680
.37684
.27687
9.44518
.44523
.44528
.44533
.27873
.27876
.27879
.27882
+ 15^
9.43307
c27106
9.43617
.27300
9.43926
.37495
9.44232
.27690
9.44538
.27886
19^
49m
Wft
4Sm
19h
47m
19^
46/3
19fi
45m
TABLE IV. [Page 95
Haversinea.
s
4hl5m%3°i5' 1
4h lem 64° 0'
4h 17m 64° IS''
jfh 18m 64° 30'
4h 19m 64° 45'
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. llav.
Log. Hav.
Nat. Hav.
1
2
3
9.44538
.44543
.44548
.44553
.37886
.37889
.37893
.37895
9.44842
.44847
.44852
.44857
9.44862
.44867
.44872
.44877
.38081
.38085
.38088
.38091
9.45144
.45149
.45155
.45160
.28278
.28381
.28284
.28288
9.45446
.45451
.45456
.45461
.38474
.38478
.38481
.38484
9.45745
.45750
.45755
.45760
.38673
.38675
.38678
.28681
60
59
58
57
56
55
54
53
+ r
5
6
7
9.44558
.44563
.44568
.44573
.37899
.37903
.37905
.37908
.38095
.38098
.38101
.38104
9.45165
.45170
.45175
.45180
.28391
.28294
.28297
.28301
9.45460
.45471
■ .45476
.45481
.38488
.28491
.28494
.28497
9.45765
.45770
.45775
.45780
.28685
.28688
.28691
.28695
+ 2'
9
10
11
9.44579
.44584
.44589
.44594
.37913
.37915
.37918
.37931
9.44882
.44887
.44892
.44898
.38108
.38111
.38114
.38117
9.45185
.45190
■ .45195
.45200
.28304
.38307
.38310
.38314
9.45486
.45491
.45496
.45501
.28501
.38504
.38507
.38511
9.45785
.45790
.45795
.45800
.28698
.28701
.28704
.38708
52
51
50
49
+ 3'
IS
14
15
9.44599
.44604
.44609
.44614
.37935
.37938
.37931
.37935
9.44903
.44908
.44913
.44918
.38131
.38134
.38137
.38130
9.45205
.45210
.45215
.45220
.38317
.38330
.38334
.38337
9.45506
.45511
.45516
.45521
.28514
.28517
.28530
.28534
9.45805
.45810
.45815
.45820
.28711
.28714
.38718
.38731
48
47
46
45
44
43
42
41
+ 4^
17
18
19
9.44619
.44624
.44629
.44634
.37938
.37941
.37944
.37948
9.44923
.44928
.44933
.44938
.38134
.38137
.38140
.38144
9.45225
.45230
.45235
.45240
.38330
.38333
.28337
.28340
9.45526
.45531
.45536
.45541
.38537
.38530
.28534
.28537
9.45825
.45830
.45835
.45840
.38734
.38737
.28731
.38734
+ 5'
21
22
23
9.44639
.44645
.44650
.44655
.37951
.37954
.37957
.37961
9.44943
.44948
.44953
.44958
.38147
.38150
.38153
.38157
9.45245
.45250
.45255
.45260
.38343
.38347
.38350
.38353
9.45546
.45551
.45556
.45561
.38540
.38543
.38547
.28550
9.45845
.45850
.45855
.45860
.28737
.38741
.38744
.38747
40
39
38
37
+ 6'
25
26
27
9.44660
.44665
.44670
.44675
.37964
.37967
.37970
.37974
9.44963
.44968
.44973
.44978
.38160
.38163
.38166
.38170
9.45265
.45270
.45275
.45280
.38356
.38360
.38363
.28366
9.45566
.45571
.45576
.45581
.28553
.28557
.28560
.28563
9.45865
.45870
.45875
.45879
.38751
.38754
.38757
.28760
36
35
34
33
+ r
29
30
31
9.44680
.44685
.44690
.44695
.37977
.37980
.37983
.37987
9.44983
.44988
.44993
.44998
.38173
.38176
.38180
.38183
9.45285
.45290
.45295
.45300
.28369
.28373
.38376
.38379
9.45586
.45591
.45596
.45601
.28566
.28570
.28573
.28576
9.45884
.45889
.45894
.45899
.28764
.28767
.28770
.28774
32
31
30
29
28
27
26
25
+ S'
33
34
35
9.44700
.44705
.44710
.44715
.37990
.37993
.37997
.38000
9.45003
.45009
.45014
.45019
.38186
.38189
.38193
.38196
9.45305
.45310
.45315
.45320
.38383
.38386
.38389
.38392
9.45006
.45610
.45615
.45620
.28580
.28583
.28586
.28589
9.45904
.45909
.45914
.45919
.28777
.28780
.28783
.28787
37
38
39
9.44721
.44726
.44731
.44736
.38003
.38006
.38010
.38013
9.45024
.45029
.45034
.45039
.38199
.38303
.38306
.38309
9.45325
.45330
.45335
.45340
.38396
.38399
.28403
.28406
9.45625
.45630
.45635
.45640
.28593
.28596
.28599
.38603
9.45924
.45929
.45934
.45939
.28790
.28793
.28797
.28800
.38803
.38807
.38810
.38813
24
23
22
21
20
19
18
17
+ W
41
42
43
9.44741
.44746
.44751
.44756
.38016
.38019
.38033
.38036
9.45044
.45049
.45054
.45059
.38313
.38316
.38319
.38333
9.45345
.45350
.45355
.45360
.38409
.28413
.28415
.28419
9.45645
.45650
.45655
.45660
.28606
.28609
.28612
.28616
9.45944
.45949
.45954
.45959
+ ir
45
46
47
9.44761
.44766
.44771
.44776
.38039
.38033
.38036
.38039
9.45064
.45069
.45074
.45079
.38335
.38339
.38333
.38335
9.45365
.45370
.45375
.45380
.38433
.38435
.38439
.38433
9.45665
.45670
.45675
.45680
.38619
.28622
.28636
.38639
9.45964
.45969
.45974
.45979
.38816
.38830
.28823
.28836
16
15
14
13
+ 13^
49
50
51
9.44781
.44786
.44791
.44796
.38043
.38046
.38049
.38053
9.45084
.45089
.45094
.45099
.38338
.38343
.28345
.38348
9.45385
.45390
.45395
.45400
.38435
.38438
.38443
.38445
9.45685
.45690
.45695
.45700
.38633
.28635
.28639
.28643
9.45984
.45989
.45994
.45999
.38830
.38833
.38836
.28839
12
11
10
9
+ 13^
53
54
55
9.44801
.44807
.44812
.44817
.38055
.38059
.38063
.38065
9.45104
.45109
.45114
.45119
.38353
.38355
.38358
.38361
9.45405
.45410
.45415
.45420
.38448
.38451
.38455
.38458
9.45705
.45710
.45715
.45720
.38645
.38649
.38653
.38655
9.46004
.46009
.46014
.46019
.28843
.28846
.28849
.28853
8
7
6
5
+ 14^
57
58
59
9.44822
.44827
.44832
.44837
.38068
.38073
.38075
.38078
9.45124
.45129
.45134
.45139
.38365
.28368
.38371
.38374
9.45426
.45431
.45436
.45441
.38461
.28465
.38468
.38471
9.45725
.45730
.45735
.45740
.38658
.38662
.28665
.28668
9.46023
.46028
.46033
.46038
.28856
.28859
.28863
.28866
4
3
2
1
+ 15^
9.44842
.38081
9.45144
.38378
9.45446
.28474
9.45745
.38673
9.46043
.28869
19h44m
19^ 4Sm
19^42^
igh 41m
19^40^^
Page 96]
TABLE
IV.
Haversinea,
s
4^ 20m 65° C
4h2im
65° 15'
4h 22^ 65° 30'
4h23'^
66° 45'
4^24^
66° C
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.46043
.38869
9.46340
.29067
9.46635
.39365
9.46929
.39464
9.47222
.39663
60
J
.46048
.28872
.46345
.29070
.46640
.39369
.46934
.29467
.47227
.39866
59
e
.46053
.28876
.46350
.29074
.46645
.39272
.46939
.39471
.47231
.39670
58
s
. .46058
.28879
.46355
.29077
.46650
.29275
.46944
.39474
.47236
.29673
51
+ 1'
9.46063
.28882
9.46360
.39080
9.46655
.29279
9.46949
.39477
9.47241
.29676
56
6
.46068
.28886
.46365
.39084
.46660
.29282
.46954
.39481
.47246
.39680
55
6
.46073
.28889
.46370
.39087
.46665
.29285
.46959
.39484
.47251
.39683
54
7
.46078
.28892
.46375
.39090
.46670
.29389
.46963
.39487
.47256
.29686
53
+ 2'
9.46083
.28895
9.46380
.39093
9.46675
.29392
9.46968
.29491
9.47261
.29690
52
9
.46088
.28899
.46384
.39097
.46680
.29295
.46973
.39494
.47266
.39693
51
10
.46093
.28902
.46389
.29100
.46684
.29398
.46978
.39497
.47270
.39696
50
11
.46098
.28905
.46394
.39103
.46689
.39302
.46983
.29501
.47275
.39700
49
+ 3'
9.46103
.28909
9.46399
.39107
9.46694
.39305
9.46988
.29504
9.47280
.29703
48
IS
.46108
.28912
.46404
.39110
.46699
.39308
.46993
.29507
.47285
.29706
41
14
.46113
.28915
..46409
.39113
.46704
.39313
.46998
.29510
.47290
.29710
46
15
.46118
.28918
.46414
.39117
.46709
.29315
.47003
.29514
.47295
.29713
45
+ i'
9.46123
.28922
9.46419
.39130
9.46714
.29318
9.47007
.29517
9.47300
.29716
44
11
.46128
.28925
.46424
.39133
.46719
.29322
.47012
.29520
.47304
.29720
43
18
.46132
.28928
.46429
.39136
.46724
.29325
.47017
.29524
.47309
.29723
42
19
.46137
.28932
.46434
.39130
.46729
.29338
.47022
.29527
.47314
.29726
41
40
+ 5'
9.46142
.28935
9.46439
.39133
9.46733
. .39333
9.47027
.29530
9.47319
.29730
21
.46147
.38938
..46444
.39136
.46738
.39335
.47032
.29534
.47324
.29733
39
22
.46152
.28943
.46448
.29140
.46743
.39338
.47037
.29537
.47329
.29736
38
23
.46157
.28945
.46453
.39143
.46748
.29341
.47042
.29540
.47334
.39740
31
+ 6'
9.46162
.38948
9.46458
.39146
9.46753
.29345
9.47046
.29544
9.47338
.39743
36
25
.46167
.38953
.46463
.39150
.46758
.29348
.47051
.29547
.47343
.39746
35
26
.46172
.38955
.46468
.39153
.46763
.29351
.47056
.39550
.47348
.39750
34
21
.46177
.28958
.46473
.39156
.46768
.29355
.47061
.29554
.47353
.39753
33
+ r
9.46182
.38961
9.46478
.39160
9.46773
.29358
9.47066
.29557
9.47358
.29756
32
29
.46187
.38965
.46483
.29163
.46778
.29361
.47071
.29560
.47363
.29760
31
30
.46192
.28968
.46488
.29166
.46782
.29365
.47076
.29564
.47367
.29763
30
31
.46197
.28971
.46493
.29169
.46787
.39368
.47081
.29567
.47372
.29766
29
+ 8^
9.46202
.28975
9.46498
.29173
9.46792
.39371
9.47085
.29570
9.47377
.29770
28
33
.46207
.28978
.46503
.29176
.46797
.39375
.47090
.29573
.47382
.39773
21
34
.46212
.28981
.46508
.29179
.46802
.39378
.47095
.29577
.47387
.39776
26
35
.46217
.28985
.46512
.39183
.46807
.39381
.47100
.29580
.47392
.39779
25
24
+ 9^
9.46222
.28988
9.46517
.39186
9.46812
.29385
9.47105
.29583
9.47397
.39783
31
.46226
.28991
.46522
.39189
.46817
.29388
.47110
.29587
.47401
.39786
23
38
.46231
.28994
.46527
.39193
.46822
.29391
.47115
.29590
.47406
.39789
22
39
.46236
.28998
.46532
.39196
.46827
.29394
.47120
.39593
.47411
.39793
21
+ 10'
9.46241
.39001
9.46537
.39199
9.46831
.29398
9.47124
.39597
9.47416
.39796
20
41
.46246
.39004
.46542
.39303
.46836
.29401
.47129
.29600
.47421
.39799
19
42
.46251
.39008
.46547
.39306
.46841
.29404
.47134
.39603
.47426
.39803
18
43
.46256
.39011
.46552
.39309
.46846
.29408
.47139
.39607
.47431
.39806
11
+ ir
9.46261
.39014
9.46557
.39313
9.46851
.29411
9.47144
.39610
9.47435
.39809
16
45
.46266
.39017
.46562
.39316
.46856
.29414
.47149
.39613
.47440
.39813
15
46
.46271
.29021
.46567
.29319
.46861
.39418
.47154
.39617
.47445
.29816
14
41
.46276
.29024
.46571
.39222
.46866
.39431
.47159
.39620
.47450
.39819
13
+ n'
9.46281
.39027
9.46576
.29226
9.46871
.39424
9.47163
.29623
9.47455
.39833
12
49
■ .46286
.39031
.46581
.29229
.46875
.39438
.47168
.29637
.47460
.39836
11
50
.46291
.39034
.46586
.39332
.46880
.39431
.47173
.29630
.47464
.39829
10
51
.46296
.39037
.46591
.29236
.46885
.39434
.47178
.29633
.47469
.29833
9
+ 13'
9.46301
.39041
9.46596
.29239
9.46890
.39438
9.47183
.29637
9.47474
.29836
8
53
.46305
.39044
.46601
.29343
.46895
.29441
.47188
.29640
.47479
.29839
1
54
.46310
.29047
.46606
.39245
.46900
.29444
.47193
.29643
.47484
.29843
6
55
.46315
.29051
.46611
.29349
.46905
.29447
.47197
.39647
.47489
.29846
5
+ W
9.46320
.39054
9.46616
.39253
9.46910
.29451
9.47202
.39650
9.47493
.29849
4
51
.46325
.39057
.46621
.39355
.46915
.39454
.47207
.39653
.47498
.29853
3
58
.46330
.39060
.46626
.39359
.46919
.39457
.47212
.39657
.47503
.29856
2
59
.46335
.39064
.46630
.39363
.46924
.39461
.47217
.39660
.47508
.39859
1
+ 15'
9.46340
.39067
9.46635
.39365
9.46929
.39464
9.47222
.39663
9.47513
.29863
19h
Sgm
igh ssm
19h Sl'm
19h
S6m
19^ 35^ 1
TABLE IV.
Haversines.
[Page 97
s
4^ 25m 66° 15'
4h 26m 66° W
^h ojm
66° 45'
4^ 2Sm 67° 0'
4^ 29m
67° 15'
s
Log. nav.
Nat. Hav.
Log. nav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Is at. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.47513
.47518
.47523
.47527
.29863
.29866
.29869
.29873
9.47803
.47807
.47812
.47817
.30063
.30066
.30069
.30073
9.48091
.48096
.48101
.48105
.30363
.30368
.30369
.30373
9.48378
.48383
.48387
.48392
.30463
.30467
.30470
.30473
9.48664
.48668
.48673
.48678
.30664
.30668
.30671
.30675
60
59
58
57
+ r
5
6
7
9.47532
.47537
.47542
.47547
.29876
.29879
.29883
.29886
9.47822
.47827
.47831
.47836
.30076
.30079
.30083
.30086
9.48110
.48115
.48120
.48124
.30376
.30380
.30283
.30286
9.48397
.48402
.48407
.48411
.39477
.30480
.30484
.30487
9.48683
.48687
.48692
.48697
.30678
.30681
.30685
.30688
.30691
.30895
.30698
.30701
56
55
54
53
hi
51
50
49
+ 2^
9
10
11
9.47552
.47556
.47561
.47566
.29889
.29893
.29896
.29899
9.47841
.47846
.47851
.47856
.30089
.30093
.30096
.30099
9.48129
.48134
.48139
.48144
.30290
.30393
.30296
.30300
9.48416
.48421
.48426
.48430
.30490
.39494
.30497
.30500
9.48702
.48706
.48711
.48716
+ 3^
13
14
15
9.47571
.47576
.47581
.47585
.29903
.29906
.29909
.39913
9.47860
.47865
.47870
.47875
.30103
.30106
.30109
.30113
9.48148
.48153
.48158
.48163
.30303
.30306
.30310
.30313
9.48435
.48440
.48445
.48449
.30504
.30507
.30510
.30514
9.48720
.48725
.48730
.48735
.30705
.30708
.30711
.30715
48
47
46
45
+ 4'
17
18
19
9.47590
.47595
.47600
.47605
.29916
.29919
.29923
.29926
9.47880
.47884
.47889
.47894
.30116
.30119
.30133
.30136
9.48168
.48172
.48177
.48182
.30316
.30330
.30323
.30336
9.48454
.48459
.48464
.48468
.30517
.30530
.30524
.30527
9.48739
.48744
.48749
.48754
.30718
.30731
.30725
.30728
44
43
42
41
+ 6'
21
22
23
9.47610
.47614
.47619
.47624
.39939
.29933
.29936
.29939
9.47899
.47904
.47908
.47913
.30139
.30133
.30136
.30139
9.48187
.48192
.48196
.48201
.30330
.30333
.30336
.30340
9.48473
.48478
.48483
.48488
.30530
.30534
.30537
.30540
9.48758
.48763
.48768
.48773
.30733
.30735
.30738
.30742
40
39
38
37
+ ^
25
26
27
9.47629
.47634
.47639
.47643
.39943
.29946
.39949
.29953
9.47918
.47923
.47928
.47933
.30143
.30146
.30149
.30153
9.48206
.48211
.48215
.48220
.30343
.30346
.30350
.30353
9.48492
.48497
.48502
.48507
.30544
.30547
.30551
.30554
9.48777
.48782
.48787
.48792
.30745
.30748
.30753
.30755
36
35
34
33
32
31
30
29
+ r
29
30
31
9.47648
.47653
.47658
.47663
.29956
.29959
.29963
.29966
9.47937
.47942
.47947
.47952
.30156
.30159
.30163
.30166
9.48225
.48230
.48235
.48239
.30356
.30360
.30363
.30366
9.48511
.48516
.48521
.48526
.30557
.30561
.30564
.30567
9.48796
.48801
.48806
.48811
.30758
.30763
.30765
.30768
+ 8'
33
34
35
9.47668
.47672
.47677
.47682
.29969
.29973
.29976
.29979
9.47957
.47961
.47906
.47971
.30169
.30173
.30176
.30179
9.48244
.48249
.48254
.48258
.30370
.30373
.30376
.30380
9.48530
.48535
.48540
.48545
.30571
.30574
.30577
.30581
9.48815
.48820
.48825
.48830
.30772
.30775
.30779
.30782
28
27
26
25
+ 9^
37
38
39
9.47687
.47692
.47697
.47701
.39983
.29986
.29989
.29993
9.47976
.47981
.47985
.47990
.30183
.30186
.30189
.30193
9.48263
.48268
.48273
.48278
.30383
.30386
.30390
.30393
9.48549
.48554
.48559
.48564
.30584
.30587
.30591
.30594
9.48834
.48839
.48844
.48848
.30785
.30789
.30792
.30795
24
23
22
21
+ ir
41
42
43
9.47706
.47711
.47716
.47721
.29996
.29999
.30003
.30006
9.47995
.48000
.48005
.48009
.30196
.30199
.30303
.30306
9.48282
.48287
.48292
.48297
.30397
.30400
.30403
.30407
9.48568
.48573
.48578
.48583
.30597
.30601
.30604
.30607
9.48853
.48858
.48863
.48867
.30799
.30802
.30805
.30809
20
19
18
17
+ 11^
45
46
47
9.47725
.47730
.47735
.47740
.30009
.30013
.30016
.30019
9.48014
.48019
.48024
.48029
.30309
.30313
.30316
.,30319
9.48302
.48306
.48311
.48316
.30410
.30413
.30417
.30430
9.48587
.48592
.48597
.48602
.30611
.30614
.30618
.30621
9.48872
.48877
.48882
.48886
.30813
.30815
.30819
.30833
16
15
14
IS
12
11
10
9
+ 13'
49
50
51
9.47745
.47750
.47754
.47759
.30023
.30026
.30029
.30033
9.48033
.48038
.48043
.48048
.30333
.30336
.30339
.30333
9.48321
.48325
.48330
.48335
.30433
.30427
.30430
.30433
9.48607
.48011
.48016
.48621
.30634
.30638*
.30631
.30634
9.48891
.48896
.48901
.48905
.30836
.30839
.30833
.30836
+ 13'
53
54
55
9.47764
.47769
.47774
.47778
.30036
.30039
.30043
.30046
9.48053
.48057
.48002
.48067
.30336
.30339
.30343
.30346
9.48346
.48344
.48349
.48354
.30437
.30440
.30443
.30447
9.48626
.48630
.48635
.48640
.30638
.30641
.30644
.30648
9.48910
.48915
.48919
.48924
.30839
.30843
.30846
.30849
8
7
6
5
+ IV
57
58
59
9.47783
.47788
.47793
.47798
.30049
.30053
.30056
.30059
9.48072
.48077
.48081
.48086
.30349
.30353
.30356
.30359
9.48359
.48364
.48368
.48373
.30450
.30453<
.30457
.30460
9.48645
^ .48649
.48654
.48659
.30651
.30655
.30658
.30661
9.48929
.48934
.48938
.48943
.30852
.30856
.30859
.30862
4
3
2
1
+ W
9.47803
.30063
9.48091
.30363
9.48378
.30463
9.48664
.30664
9.48948
.30866
19^ 34m
19li3Sm
19h 32^
19^
sm
19h 30m 1
55901°— IS-
Page 98] TABLE IV.
Haversines.
B
4h Sffm 67° SO'
4^ Sim 67° 45'
4^ S2m 68° C
4hSsme^W
4^S4me8°W
8
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav. NaLHav
Log. Hav.
Nat. Hav.
1
2
S
9.48948
.48953
.48957
.489G2
.30866
.30869
.30873
.30876
9.49231
.49235
.49240
.49245
.31068
.31071
.31074
.31078
9.49512
.49517
.49522
.49526
.31370
.31373
.31376
.31380
9.49793
.49797
.49802
.49807
.31473
.31475
.31479
.31483
9.50072
.50076
.50081
.50085
.31675
.31678
.31682
.31685
60
59
58
57
+ r
5
6
7
9.48967
.48971
.48976
.48981
.30879
.30883
.30886
.30889
9.49250
.49254
.49259
.49264
.31081
.31084
.31088
.31091
9.49531
.49536
.49540
.49545
.31383
.31387
.31390
.31393
9.49811
.49816
.49821
.49825
.31486
.31489
.31493
.31496
9.50090
.50095
.50099
.50104
.31688
.31693
.31695
.31699
56
55
54
53
+ 2^
9
10
11
9.48986
.48990
.48995
.49000
.30893
.30896
.30899
.30903
9.49268
.49273
.49278
.49282
.31095
.31098
.31101
.31105
9.49550
.49554
.49559
.49564
.31397
.31300
.31303
.31307
9.49830
.49835
.49839
.49844
.31499
.31503
.31506
.31509
9.50109
.50113
.50118
.50123
.31703
.31705
.31709
.31713
5^
51
50
49
+ 3'
IS
u
15
9.49004
.49009
.49014
.49019
.30906
.30910
.30913
.30916
9.49287
.49292
.49297
.49301
.31108
.31111
.31115
.31118
9.49568
.49573
.49578
.49583
.31310
.31314
.31317
.31330
9.49849
.49853
.49858
.49802
.31513
.31516
.31519
.31533
9.50127
.50132
.50136
.50141
.31716
.31719
.31733
.31736
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
+ 4^
17
18
19
9.49023
.49028
.49033
.49038
.30930
.30923
.30926
.30930
9.49306
.49311
.49315
.49320
.31131
.31125
.31128
.31133
9.49587
.49592
.49597
.49601
.31334
.31337
.31330
.31334
9.49867
.49872
.49876
.49881
.31536
.31530
.31533
.31536
9.50146
.50150
.50155
.50160
.31729
.31732
.31736
.31739
+ 5'
21
22
23
9.49042
.49047
.49052
.49056
.30933
.30936
.30940
.30943
9.49325
.49329
.49334
.49339
.31135
.31138
.31143
.31145
9.49606
.49611
.49615
.49620
.31337
.31341
.31344
.31347
9.49886
.49890
.49895
.49900
.31540
.31543
.31546
.31550
9.50164
.50169
.50174
.50178
.31742
.31746
.31749
.31753
+ 6'
25
26
27
9.49061
.49066
.49071
.49075
.30946
.30950
.30953
.30957
9.49344
.49348
.49353
.49358
.31148
.31153
.31155
.31158
9.49625
.49629
.49634
.49639
.31351
.31354
.31357
.31361
9.49904
.49909
.49914
.49918
.31553
.31557
.31560
.31563
9.50183
.50187
.50192
.50197
.31756
.31760
.31763
.31766
+ r
29
SO
31
9.49080
.49085
.49089
.49094
.30960
.30963
.30967
.30970
9.49302
.49367
.49372
.49376
.31163
.31165
.31169
.31173
9.49643
.49648
.49653
.49657
.31364
.31367
.31371
.31374
9.49923
.49928
.49932
.49937
.31567
.31570
.31573
.31577
9.50201
.50206
.50211
.50215
.31770
.31773
.31776
.31780
32
31
30
29
28
27
26
25
+ 8'
33
34
35
9.49099
.49104
.49108
.49113
.30973
.30977
.30980
.30983
9.49381
.49386
.49390
.49395
.31175
.31179
.31183
.31185
9.49662
.49667
.49671
.49676
.31378
.31381
.31384
.31388
9.49942
.49946
.49951
.49956
.31580
.31584
.31587
.31590
9.50220
.50224
.50229
.50234
.31783
.31787
.31790
.31793
+ 9^
37
SB
39
9.49118
.49122
.49127
.49132
.30987
.30990
.30994
.30997
9.49400
.49405
.49409
.49414
.31189
.31193
^31190
.31199
9.49681
.49685
.49690
.49695
.31391
.31394
.31398
.31401
9.49960
.49965
.49969
.49974
.31594
.31597
.31601
.31604
9.50238
.50243
.50248
.50252
.31797
.31800
.31804
.31807
24
23
22
21
+ ir
41
42
43
9.49137
.49141
.49146
.49151
.31000
.31004
.31007
.31010
9.49419
.49423
.49428
.49433
.31303
.31206
.31309
.31313
9.49699
.49704
.49709
.49713
.31405
.31408
.31411
.31415
9.49979
.49983
.49988
.49993
.31607
.31611
.31614
.31617
9.50257
.50261
.50266
.50271
.31810
.31814
.31817
.31820
20
19
18
17
16
15
14
IS
+ 11'
45
46
47
9.49155
.49160
.49165
.49170
.31014
.31017
.31020
.31024
9.49437
.49442
.49447
.49451
.31316
.31319
.31333
.31336
9.49718
.49723
.49727
.49732
.31418
.31431
.31425
.31428
9.49997
.50002
.50007
.50011
.31631
.31624
.31628
.31631
9.50275
.50280
.50284
.50289
.31824
.31827
.31831
.31834
+ n'
49
50
51
9.49174
.49179
.49184
.49188
.31037
.31031
.31034
.31037
9.49456
.49461
.49465
.49470
.31339
.31333
.31336
.31339
9.49737
.49741
.49746
.49751
.31432
.31435
.31438
.31442
9.50016
.50021
.50025
.50030
.31634
.31638
.31641
.31644
9.50294
.50298
.50303
.50308
.31837
.31841
.31844
.31848
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.49193
.49198
.49202
.49207
.31041
.31044
.31047
.31051
9.49475
.49480
.49484
.49489
.31343
.31346
.31349
.31353
9.49755
.49700
.49765
.49769
.31445
.31448
.31452
.31455
9.50034
.50039
.50044
.50048
.31648
.31651
.31655
.31658
9.50312
.50317
.50322
.50326
.31851
.31854
.31858
.31861
57
58
59
9.49212
.49217
.49221
.49226
.31054
.31057
.31061
.31064
9.49494
.49498
.49503
.49508
.31356
.31360
.31363
.31266
9.49774
.49779
.49783
.49788
.31459
.31462
.31465
.31469
9.50053
.50058
.50062
.50067
.31661
.31665
.31668
.31673
9.50331
.50335
.50340
.50345
.31865
.31868
.31871
.31875
4
3
2
1
+ 15'
9.49231
.31068
9.49512
.31270
9.49793
.31473
9.50072
.31675
9.50349
.31878
J9h 29m 1
19^ 28m 1
19Ji 27m 1
19^ 26m
19h 25m
TABLE IV.
Havereines.
[Page 99
s
4h S5m 68° 45'
4h 36m 69° 0'
4A SJm 69° 15'
4t^ SSm 69° 30'
4h S9m 69° 45'
s
60
69
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.50349
.50354
.50358
.50363
.31878
.31881
.31885
.31888
9.50626
.50630
.50635
.50639
.33083
.33085
.33088
.33093
9.50901
.50905
.50910
.50914
.32385
.33389
.33393
.33396
9.51174
.51179
.51184
.51188
.33490
.33493
.33496
.33500
9.51447
.51452
.51456
.51461
.33694
.33698
.33701
.33704
+ 1'
5
6
7
9.50368
.50372
.50377
.50382
.31893
.31895
.31898
.31903
9.50644
.50649
.50653
.50658
.33095
.33099
.33103
.33105
9.50919
.50924
.50928
.50933
.33399
.33303
.32306
.32309
9.51193
.51197
.51202
.51206
.33603
.33507
.33510
.33513
9.51465
.51470
.51474
.51479
.33708
.33711
.33715
.33718
56
55»
54
53
62
61
50
49
+ r
9
10
11
9.50386
.50391
.50395
.50400
.31905
.31909
.31913
.31915
9.50662
.50667
.50672
.50676
.33109
.33113
.33116
.32119
9.50937
.50942
.50946
.50951
.33313
.33316
.33319
.33333
9.51211
.51215
.51220
.51225
.33517
.33530
.33534
.33537
9.51483
.51488
.51492
.51497
.33731
.33735
.33738
.33733
+ 3'
13
14
15
9.50405
.50409
.50414
.50418
.31919
.31933
.31936
.31939
9.50681
.50685
.50690
.50694
.33133
.33126
.32139
.33133
9.50956
.50960
.50965
.50969
.32336
.33330
.32333
.32336
9.51229
.51234
.51238
.51243
.33531
.33534
.33537
.33541
.33544
.33547
.33551
.33554
9.51501
.51506
.51510
.51515
.33735
.33738
.33742
.33745
4S
47
46
45
44
43
42
41
+ *'
17
18
19
9.50423
.50428
.50432
.50437
.31933
.31936
.31939
.31913
9.50699
.50704
.50708
.50713
.33136
.33139
.33143
.33146
9.50974
.50978
.50983
.50988
.33340
.33343
.33347
.33350
9.51247
.51252
.51256
.51261
9.51519
.51524
.51529
.51533
.32749
.32753
.32756
.33759
+ 5'
21
22
23
9.50442
.50446
.50451
.50455
.31946
.31949
.31953
.31956
9.50717
.50722
.50727
.50731
.33150
.33153
.33156
.33160
9.50992
.50997
.51001
.51006
.33353
.33357
.33360
.33364
9.51265
.51270
.51275
.51279
.33558
.33561
.33565
.33568
9.51538
.51542
.51547
.51551
.32762
.32766
.32769
.32773
40
39
38
37
+ 6^
25
26
27
9.50460
.50465
.50469
.50474
.31959
.31963
.31966
.31970
9.50736
.50740
.50745
.50750
.33163
.33166
.33170
.33173
9.51010
.51015
.51019
.51024
.33367
.33370
.33374
.33377
9.51284
.51288
.51293
.51297
.33571
.33575
.33578
.32582
9.51556
.51560
.51565
.51569
.33776
.33779
.33783
.33786
36
35
34
S3
+ r
29
30
31
9.50478
.50483
.50488
.50492
.31973
.31976
.31980
.31983
9.50754
.50759
.50763
.50768
.32177
.33180
.33183
.33187
9.51029
.51033
.51038
.51042
.33381
.33384
.32388
.32391
9.51302
.51306
.51311
.51315
.32585
.32588
.33593
.32595
9.51574
.51578
.51583
.51587
.33790
.33793
.33797
.33800
32
31
30
29
+ 8'
33
34
35
9.50497
.50501
.50506
.50511
.31987
.31990
.31993
.31997
9.50772
.50777
.50782
.50786
.32190
.32194
.32197
.32300
9.51047
.51051
.51056
.51061
.32394
.32398
.33401
.33405
9.51320
.51325
.51329
.51334
.32599
.32603
.32605
.32609
9.51592
.51596
.51601
.51605
.32803
.32807
.32810
.32814
28
27
26
25
+ ^
37
38
39
9.50515
.50520
.50524
.50529
.33000
.33004
.33007
.33010
9.50791
.50795
.50800
.50805
.33204
.32207
.33311
.33314
9.51065
.51070
.51074
.51079
.33408
.33411
.33415
.33418
9.51338
.51343
.51347
.51352
.32612
.33616
.33619
.33633
9.51610
.51614
.51619
.51623
.33817
.33830
.33834
.33837
24
23
22
21
+ W
41
42
43
9.50534
.50538
.50543
.50547
.33014
.33017
.33031
.33034
9.50809
.50814
.50818
.50823
.33317
.33331
.33334
.33238
9.51083
.51088
.51092
.51097
.33433
.33435
.33438
.33433
9.51356
.51361
.51305
.51370
.33636
.33639
.33683
.32636
9.51628
.51633
.51637
.51642
.33831
.32834
.32838
.32841
20
19
18
17
+ 11^
45
46
47
9.50552
.50557
.50561
.50566
.33037
.33031
.32034
.33037
9.50827
.50832
.50837
.50841
.33331
.33335
.33338
.33341
9.51102
.51106
.51111
.51115
.33435
.33438
.33443
.33445
9.51374
.51379
.51384
.51388
.32640
.32643
.32646
.32650
9.51646
.51651
.51655
.51660
.32844
.32848
.32851
.32855
16
15
14
13
12
11
10
9
8
7
6
5
+ 1%'
49
50
51
+ 13'
53
54
55
9.50570
.50575
.50580
.50584
.33041
.33044
.33048
.33051
9.50846
.50850
.50855
.50860
.33245
.33348
.33351
.33355
9.51120
.51124
.51129
.51133
.33449
.33453
.33456
.33459
9.51393
.51397
.51402
.51406
.32653
.32657
.32660
.33663
9.51664
.51669
.51673
.51678
.33858
.33861
.33865
.33868
9.50589
.50593
.50598
.50603
.33054
.33058
.33061
.33065
9.50864
.50869
.50873
.50878
.33358
.33363
.33365
.33368
9.51138
.51143
.51147
.51152
.33463
.33466
.33469
.33473
9.51411
.51415
.51420
.51424
.33667
.33670
.33674
.33677
9.51682
.51687
.51691
.51696
.33873
.33875
.33878
.32882
+ W
57
58
59
9.50607
.50612
.50616
.50621
.33068
.33071
.33075
.33078
9.50882
.50887
.50892
.50896
.33373
.33375
.32379
.33282
9.51156
.51161
.51165
.51170
.33476
.33479
.33483
.33486
9.51429
.51433
.51438
.51442
.33681
.32684
.32687
.32691
9.51700
.51705
.51709
.51714
.33885
.33889
.33892
.32896
4
3
2
1
+ 15'
9.50626
.33083
9.50901
.32285
9.51174
.33490
9.51447
.32694
9.51718
.32899
19h
24m
19h 23m
19h 22ra
19^
21m
19h 20m j
Page 100] TABLE IV.
Haversines.
s
4h 40m 70'' C
4h 41m 70° 15'
4h 42m 70° 30'
4h 4sm 70° 45'
4h 44m 710 0'
s
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
1
5
S
9.51718
.51723
.51727
.51732
.32899
.32902
.32906
.32909
9.51988
.51993
.51997
.52002
.33104
.33108
.33111
.33114
9.52257
.52261
.52266
.52270
.33310
.33313
.33317
.33330
9.52525
.52529
.52533
.52538
.33515
.33519
.33532
.33526
9.52791
.52795
.52800
.52804
.33732
.33725
.33728
.33732
60
59
58
57
+ r
• 5
6
7
9.51736
.51741
.51745
.51750
.32913
.32916
.32920
.32923
9.52006
.52011
.52015
.52020
.33118
.33121
.33125
.33128
9.52275
.52279
.52284
.52288
.33323
.33327
.33330
.33334
9.52542
.52547
.52551
.52556
.33529
.33533
.33536
.33540
9.52809
.52813
.52817
.52822
.33735
.33739
.33742
.33746
56
55
54
53
52
51
50
49
48
47
46
45
+ 2^
9
10
11
9.51754
.51759
.51763
.51768
.32926
.32930
.32933
.32937
9.52024
.52029
.52033
.52038
.33132
.33135
.33138
.33142
9.52293
.52297
.52302
.52306
.33337
.33341
.33344
.33347
9.52560
.52565
.52569
.52573
.33543
.33546
.33550
.33553
9.52826
.52831
.52835
.52839
.33749
.33753
.33756
.33759
+ 3'
13
U
15
9.51772
.51777
.51781
.51786
.32940
.32943
.32947
.32950
9.52042
.52047
.52051
.52056
.33145
.33149
.33152
.33156
9.52311
.52315
.52320
.52324
.33351
.33354
.33358
.33361
9.52578
.52582
.52587
.52591
.33557
.33560
.33564
.33567
9.52844
.52848
.52853
.52857
.33763
.33766
.33770
.33773
+ 4'
n
18
19
9.51790
.51795
.51799
.51804
.32954
.32957
.32961
.32964
9.52060
.52065
.52069
.52074
.33159
.33162
.33166
.33169
9.52328
.52333
.52337
.52342
.33365
.33368
.33371
.33375
9.52596
.52600
.52605
.52609
.33570
.33574
.33577
.33581
9.52862
.52866
.52870
.52875
.33777
.33780
.33783
.33787
44
43
42
41
+ 5'
21
22
23
9.51808
.51813
.51817
.51822
.32967
.32971
.32974
.32978
9.52078
.52082
.52087
.52091
.33173
.33176
.33179
.33183
9.52346
.52351
.52355
.52360
.33378
.33382
.33385
.33389
9.52613
.52618
.52622
.52627
.33584
.33588
.33591
.33594
9.52879
.52884
.52888
.52893
.33790
.33794
.33797
.33801
40
39
SS
37
36
35
34
33
+ 6'
25
26
27
9.51826
.51831
.51835
.51840
.32981
.32984
.33988
.32991
9.52096
.52100
.52105
.52109
.33186
.33190
.33193
.33197
9.52364
.52369
.52373
.52378
.33392
.33395
.33399
.33402
9.52631
.52636
.52640
.52645
.33598
.33601
.33605
.33608
9.52897
.52901
.52906
.52910
.33804
.33808
.33811
.33814
+ r
29
SO
SI
9.51844
.51849
.51853
.51858
.32995
.32998
.33002
.33005
9.52114
.52118
.52123
.52127
.33200
.33203
.33207
.33210
9.52382
.52386
.52391
.52395
.33406
.33409
.33413
.33416
9.52649
.52653
.52658
.52662
.33612
.33615
.33618
.33622
9.52915
.52919
.52923
.52928
.33818
.33821
.33835
.33838
32
31
30
29
28
27
26
25
24
23
22
21
+ 8'
SS
34
35
9.51862
.51867
.51871
.51876
.33008
.33012
.33015
.33019
9.52132
.52136
.52141
.52145
.33314
.33317
.33321
.33224
9.52400
.52404
.52409
.52413
.33419
.33423
.33426
.33430
9.52667
.52671
.52676
.52680
.33625
.33629
.33632
.33636
9.52932
.52937
.52941
.52946
.33833
.33835
.33839
.33842
+ 9^
57
5,?
39
9.51880
.51885
.51889
.51894
.33022
.33025
.33029
.33032
9.52150
.52154
.52159
.52163
.33227
.33231
.33234
.33338
9.52418
.52422
.52427
.52431
.33433
.33436
.33440
.33444
9.52684
.52689
.52693
.52698
.33639
.33643
.33646
.33649
9.52950
.52954
.52959
.52963
.33845
.33849
.33852
.33856
+ W
41
42
43
9.51898
.51903
.51907
.51912
.33036
.33039
.33043
.33046
9.52168
.52172
.52177
.52181
.33241
.33345
.33348
.33251
9.52436
.52440
.52444
.52449
.33447
.33450
.33454
.33457
9.52702
.52707
.52711
.52715
.33653
.33656
.33660
.33663
9.52968
.52972
.52976
.52981
.33859
.33863
.33866
.33869
20
19
18
n
+ 11'
45
4S
47
9.51916
.51921
.51925
.51930
.33049
.33053
.33056
.33060
9.52185
.52190
.52194
.52199
.33255
.33258
.33263
.33265
9.52453
.52458
.52462
.52467
.33461
.33464
.33467
.33471
9.52720
.52724
.52729
.52733
.33667
.33670
.33673
.33677
9.52985
.52990
.52994
.52999
.33873
.33876
.33880
.33883
16
15
14
13
12
11
10
9
+ 12'
49
50
51
9.51934
.51939
.51943
.51948
.33063
.33067
.33070
.33073
9.52203
.52208
.52212
.52217
.33269
.33272
.33275
.33279
9.52471
.52476
.52480
.52484
.33474
.33478
.33481
.33485
9.52738
.52742
.52747
.52751
.33680
.33684
.33687
.33691
9.53003
.53007
.53012
.53016
.33887
.33890
.33894
.33897
+ 13'
53
54
55
9.51952
.51957
.51961
.51966
.33077
.33080
.33084
.33087
9.52221
.52226
.52230
.52235
.33383
.33286
.33289
.33293
9.52489
.52493
.52498
.52502
.33488
.33491
.33495
.33498
9.52755
.52760
.52764
.52769
.33694
.33698
.33701
.33704
9.53021
.53025
.53029
.53034
.33900
.33904
.33907
.33911
S
7
6
5
4
3
2
1
+ 14'
57
58
59
9.51970
.51975
.51979
.51984
.33090
.33094
.33097
.33101
9.52239
.52244
.52248
.52253
.33396
.33399
.33303
.33306
9.52507
.52511
.52516
.52520
.33502
.33505
.33509
.33513
9.52773
.52778
.52782
.52786
.33708
.33711
.33715
.33718
9.53038
.53043
.53047
.53051
.33914
.33918
.33921
.33925
+ 15'
9.51988
.33104
9.52257
.33310
9.52525
.33515
9.52791
.33722
9.53056 .33938
19h 19m
19hlgm
igh 17m 1
19A 16m
19^ 15m
TABLE IV.
Haversinea.
[Page 101
s
4h4Sm
71° 15'
4h46m
71° 30'
4h 47m
71° 4.5^
4^ 4Sm 73° 0'
.^A 49™ 73° 15' 1
s
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.53056
.530G0
.53065
.53069
.33938
.33931
.33935
.33938
9.53320
.53324
.53328
.53333
.34135
.34138
.34143
.34145
9.53582
.53587
.53591
.53595
.34343
.34345
.34349
.34353
9.53844
.53848
.53852
.53857
.34549
.34553
.34556
.34560
9.54104
.54108
.54113
.54117
.34757
.34760
.34764
.34767
60
59
58
57
+ r
5
6
7
9.53073
.53078
.53082
.53087
.33943
.33945
.33949
.33953
9.53337
.53342
.53346
.53350
.34149
.34153
.34155
.34159
9.63600
.53604
.53609
.53613
.34356
.34359
.34363
.34366
9.53861
.53865
.53870
.53874
.34563
.34566
.34570
.34573
9.54121
.54126
.54130
.54134
.34771
.34774
.34778
.34781
56
55
54
53
+ V
9
10
11
9.53091
.53096
.53100
.53104
.33956
.33959
.33963
.33966
9.53355
.53359
.53364
.53368
.34163
.34166
.34169
.34173
9.53617
.53622
.53626
.53630
.34369
.34373
.34376
.34380
9.53879
.53883
.53887
.53892
.34577
.34580
.34584
.34587
9.54139
.54143
.54147
.54152
.34784
.34788
.34791
.34795
52
51
50
49
+ 3'
13
14
15
9.53109
.53113
.53118
.53122
.33969
.33973
.33976
.33980
9.53372
.53377
.53381
.53385
.34176
.34180
.34183
.34186
9.53635
.53639
.53643
.53648
.34383
.34387
.34390
.34394
9.53896
.53900
.53905
.53909
.34591
.34594
.34598
.34601
9.54156
.54160
.54165
.54169
.34798
.34803
.34805
.34809
48
47
46
45
+ 4'
17
18
19
9.53126
.53131
.53135
.53140
.33983
.33986
.33990
.33993
9.53390
.53394
.53399
.53403
.34190
.34193
.34197
.34300
9.53652
.53657
.53661
.53665
.34397
.34400
.34404
.34407
9.53913
.53918
.53922
.53926
.34604
.34608
.34611
.34615
9.54173
.54177
.54182
.54186
.34813
.34816
.34819
.34833
U
43
42
41
+ 5'
21
22
23
9.53144
.53148
.53153
.53157
.33997
.34000
.34004
.34007
9.53407
.53412
.53416
.53421
.34304
.34307
.34311
.34314
9.53670
.53674
.53678
.53683
.34411
.34414
.34418
.34431
9.53931
.53935
.53939
.53944
.34618
.34623
.34635
.34639
9.54190
.54195
.54199
.54203
.34836
.34830
.34833
.34836
40
39
38
37
+ 6'
25
26
27
9.53162
.53166
.53170
.53175
.34011
.34014
.34018
.34031
9.53425
.53429
.53434
.53438
.34318
.34331
.34334
.34338
9.53687
.53691
.53696
.53700
.34435
.34438
.34433
.34435
9.53948
.53952
.53957
.53961
.34633
.34636
.34639
.34643
9.54208
.54212
.54216
.54221
.34840
.34843
.34847
.34850
36
35
34
33
+ r
29
30
31
9.53179
.53184
.53188
.53192
.34034
.34038
.34031
.34035
9.53442
.53447
.53451
.53456
.34331
.34335
.34338
.34343
9.53704.
.53709
.53713
.53718
.34439
.34443
.34445
.34449
9.53966
.53970
.53974
.53978
.34646
.34649
.34653
.34656
9.54225
.54229
.54234
.54238
.34854
.34857
.34861
.34864
32
31
30
29
+ 8'
33
34
35
9.53197
.53201
.53206
.53210
.34038
.34043
.34045
.34049
9.53460
.53464
.53469
.53473
.34345
.34349
.34353
.34356
9.53722
.53726
.53731
.53735
.34453
.34456
.34459
.34463
9.53983
.53987
.53991
.53996
.34660
.34663
.34667
.34670
9.54242
.54247
.54251
.54255
.34868
.34871
.34875
.34878
28
27
26
25
+ r
37
38
39
9.53214
.53219
.53223
.53228
.34053
.34055
.34059
.34063
9.53477
.53482
.53486
.53491
.34359
.34363
.34366
.34369
9.53739
.53744
.53748
.53752
.34466
.34470
.34473
.34477
9.54000
.54004
.54009
.54013
.34674
.34677
.34681
.34684
9.54260
.54264
.54268
.54272
.34883
.34885
.34888
.34892
24
23
22
21
+ W
41
42
43
9.53232
.53236
.53241
.53245
.34066
.34069
.34073
.34076
9.53495
.53499
.53504
.53508
.34373
.34376
.34380
.34383
9.53757
.53761
.53765
.53770
.34480
.34483
.34487
.34490
9.54017
.54022
.54026
.54030
.34688
.34691
.34694
.34698
9.54277
.54281
.54285
.54290
.34895
.34899
.34902
.34906
20
19
18
17
+ 11'
45
46
47
9.53249
.53254
.53258
.53263
.34080
.34083
.34087
.34090
9.53512
.53517
.53521
.53526
.34387
.34390
.34393
.34297
9.53774
■.53778
.5S783
.53787
.34494
.34497
.34501
.34504
9.54035
.54039
.54043
.54048
.34701
.34705
.34708
.34713
9.54294
.54298
.54303
.54307
.34909
.34913
.34916
.34930
16
15
U
13
+ 13'
49
50
51
9.53267
.53271
.53276
.53280
.34093
.34097
.34100
.34104
9.53530
.53534
.53539
.53543
.34300
.34304
.34307
.34311
9.53792
.53796
.53800
.53805
.34508
.34511
.34515
.34518
9.54052
.54056
.54061
.54065
.34715
.34719
.34733
.34726
9.54311
.54316
.54320
.54324
.34933
.34927
.34930
.34933
12
11
10
9
+ 13'
53
54
55
9.53285
.53289
.53293
.53298
.34107
.34111
.34114
.34118
9.53547
.53552
.53556
.53560
.34314
.34318
.34331
.34335
9.53809
.53813
.53818
.53822
.34531
.34535
.34528
.34533
9.54069
.54074
.54078
.54082
.34739
.34733
.34736
.34739
9.54329
.54333
.54337
.54341
.34937
.34940
.34944
.34947
8
7
6
5
+ 14'
57
55
59
9.53302
.53307
.53311
.53315
.34131
.34134
.34138
.34131
9.53565
.53569
.53574
.53578
.34338
.34331
.34335
.34338
9.53826
.53831
.53835
.53839
.34535
.34539
.34543
.34546
9.54087
.54091
.54095
.54100
.34743
.34746
.34750
.34753
9.54346
.54350
.54354
.54359
.34951
.34954
.34958
.34961
4
3
2
1
+ 15'
9.53320
.34135
9.53582
.34343
9.53844
.34549
9.54104
.34757
9.54363
.34965
19h
14m
J9A 13m
19h
22m
igh urn
19hi0m
Page 102] TABLE IV.
Haversinee.
s
4^ 50m 72° Sr
4h 5im 72° 45/
4^ 52m 730 0'
4h 53m 73° 15'
4h 54m 73° 30/
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
3
1
2
S
9.54363
.54367
.54372
.54376
.34965
.34968
.34972
.34975
9.54621
.54625
.54629
.54634
.35173
.35176
.35180
.35183
9.54878
.54882
.54886
.54890
.35381
.35385
.35388
.35392
9.55133
.55137
.55142
.55146
.35590
.35594
.35597
.35601
9.55387
.55392
.55396
.55400
.35799
.35803
.35806
.35810
60
59
58
57
+ r
5
6
7
9.54380
.54385
.54389
.54393
.34979
.34983
.34986
.34989
9.54638
.54642
.54847
.54651
.35187
.35190
.35194
.35197
9.54895
.54899
.54903
.54907
.35395
.35399
.35403
.35406
9.55150
.55154
.55159
.55163
.35604
.35608
.35611
.35615
9.55404
.55409
.55413
.55417
.35813
.35817
.35830
.35834
56
55
54
53
52
51
50
49
4- 2'
9
10
11
9.54397
.54402
.54406
.54410
.34993
.34996
.34999
.35003
9.54655
.54659
.54664
.54668
.35301
.35304
.35308
.35311
9.54912
.54916
.54920
.54924
.35409
.35413
.35416
.35430
9.55167
.55171
.55176
.55180
.35618
.35633
.35625
.35638
9.55421
.55425
,55430
.55434
.35837
.35831
.35834
.35838
+ 3'
13
14
15
9.54415
.54419
.54423
.54428
.35006
.35010
.35013
.35017
9.54672
.54677
.54681
.54685
.35315
.35318
.35333
.35225
9.54929
.54933
.54937
.54942
.35433
.35437
.35430
.35434
9.55184
.55188
.55192
.55197
.35633
.35635
.35639
.35643
9.55438
.55442
.55447
.55451
.35841
.35845
.35848
.35853
48
47
46
45
+ r
17
18
19
9.54432
.54436
.54440
.54445
.35030
.35034
.35037
.35031
9.54689
.54694
.54698
.54702
.35338
.35332
.35235
.35239
9.54946
.54950
.54954
.54959
.35437
.35441
.35444
.35448
9.55201
.55205
.55209
.55214
.35646
.35649
.35653
.35656
9.55455
.55459
.55463
.55468
.35855
.35859
.35863
.35865
44
43
42
41
+ 5^
21
22
23
9.54449
.54453
.54458
.54462
.35034
.35038
.35041
.35044
9.54707
.54711
.54715
.54719
.35343
.35346
.35249
.35253
9.54963
.54967
.54971
.54976
.35451
.35454
.35458
.35461
9.55218
.55222
.55226
.55231
.35660
.35663
.35667
.35670
9.55472
.55476
.55480
.55485
.35869
.35873
.35876
.35879
40
39
38
37
+ 6^
25
26
27
9.54466
.54471
.54475
.54479
.35048
.35651
.35055
.35058
9.54724
.54728
.54732
.54736
.35356
.35260
.35363
.35367
9.54980
.54984
.54988
.54993
.35465
.35468
.35473
.35475
9.55235
.55239
.55243
.55248
.35674
.35677
.35681
.35684
9.55489
.55493
.55497
.55501
.35883
.35886
.35890
.35893
36
35
34
33
+ r
29
30
31
9.54483
.54488
.54492
.54496
.35063
.35065
.35069
.35073
9.54741
.54745
.54749
.54754
.35370
.35374
.35377
.35281
9.54997
.55001
.55005
.55010
.35479
.35483
.35486
.35489
9.55252
.55256
.55260
.55265
.35688
.35691
.35695
.35698
9.55506
.55510
.55514
.55518
.35897
.35900
.35904
.35907
32
31
30
29
28
27
26
25
+ s'
33
34
35
9.54501
.54505
.54509
.54514
.35076
.35079
.35083
.35086
9.54758
.54762
.54766
.54771
.35384
.35288
.35391
.35394
9.55014
.55018
.55022
.55027
.35493
.35496
.35500
.35503
9.55269
.55273
.55277
.55282
.35703
.35705
.35709
.35713
9.55523
.55527
.55531
.55535
.35911
.35914
.35918
.35931
+ r
37
38
39
9.54518
.54522
.54526
.54531
.35090
.35093
.35097
.35100
9.54775
.54779
.54784
.54788
.35398
.35301
.35305
.35308
9.55031
.55035
.55039
.55044
.35507
.35510
.35514
.35517
9.55286
.55290
.55294
.55298
.35716
.35719
.3^733
.35736
9.55539
.55544
.55548
.55552
.35935
.35938
.35932
.35935
24
23
22
21
+ W
41
42
43
9.54535
.54539
.54544
.54548
.35103
.35107
.35110
.35114
9.54792
.54796
.54801
.54805
.35313
.35315
.35319
.35332
9.55048
.55052
.55057
.55061
.35531
.35534
.35538
.35531
9.55303
.55307
.55311
.55315
.35730
.35733
.35737
.35740
9.55556
.55561
.55565
.55569
.35939
.35942
.35946
.35949
20
19
18
17
+ ir
45
46
47
9.54552
.54556
.54561
.54565
.35117
.35121
.35134
.35138
9.54809
.54813
.54818
.54822
.35326
.35329
.35333
.35336
9.55065
.55069
.55074 1
.55078
.35534
.35538
.35541
.35545
9.55320
.55324
.55328
.55332
.35743
.35747
.35750
.35754
9.55573
.55577
.55582
.55586
.35953
.35956
.35960
.35963
16
15
14
13
+ 13'
49
50
51
9.54569
.54574
.54578
.54582
.35131
.35135
.35138
.35143
9.54826
.54831
.54835
.54839
.35340
.35343
.35347
.35350
9.55082
.55086
.55091
.55095
.35548
.35553
.35555
.35559
9.55337
.55341
.55345
.55349
.35757
.35761
.35764
.35768
9.55590
.55594
.55598
.55603
.35967
.35970
.35974
.35977
12
11
10
9
+ 13'
53
54
55
9.54587
.54591
.54595
.54599
.35145
.35149
.35153
.35156
9.54843
.54848
.54852
.54856
.35354
.35357
.35361
.35364
9.55099
.55103
.55108
.55112
.35563
.35566
.35569
.35573
9.55354
.55358
.55362
.55366
.35771
.35775
.35778
.35783
9.55607
.55611
.55615
.55620
.35981
.35984
.35988
.35991
8
7
6
5
4
3
2
1
+ W
57
58
59
9.54604
.54608
.54612
.54617
.35159
.35163
.35166
.35169
9.54860
.54865
.54869
.54873
.35368
.35371
.35374
.35378
9.55116
.55120
.55125
.55129
.35576
.35580
.35583
.35587
9.55370
.55375
.55379
.55383
.35785
.35789
.35793
.35796
9.55624
.55628
.55632
.55636
.35995
.35998
.36002
.36005
+ 15'
9.54621
.35173
9.54878 1
.35381
9.55133 .35590
9.55387
.35799
9.55641 1
.36009
19h gm
19h 8m 1
19h7m
19h6m
19h 5m j
TABLE IV. [Page 103
Haversinea.
s
4f>' 55m 73° 45'
\n 56^ 74° 0'
4h 57m 74° 15'
4h5smU°W
4h59^U°i5' 1
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Ha>v.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.55641
.55645
.55649
.55653
.36009
.36013
.36016
.36019
9.55893
.55897
.55901
.55905
.36318
.36233
.36235
.36239
9.56144
.56148
.56152
.56156
.36438
.36431
.36435
.36438
9.56393
.56397
.56402
.56406
.36638
.38643
.36645
.36649
9.56642
.56646
.56650
.56654
.36848
.36853
.36855
.36859
60
59
58
57
56
55
54
53
4- V
5
6
7
9.55657
.55662
.55666
.55670
.36023
.36026
.36030
.36033
9.55909
.55914
.55918
.55922
.36232
.36336
.36339
.36243
9.56160
.56164
.56169
.56173
.36443
.36445
.36449
.36453
9.56410
.56414
.56418
.56422
.36652
.36656
.36659
.36663
9.56658
.56663
.56667
.56671
.36863
.36866
.36869
.36873
9
10
11
9.55674
.55678
.55683
.55687
.36036
.36040
.36043
.36047
9.55926
.55930
.55935
.55939
.36346
.36350
.36253
.36257
9.56177
.56181
.56185
.56189
.36456
.36459
.36463
.36466
9.56426
.56431
.56435
.56439
.36666
.36670
.36673
.36677
9.56675
.56679
.56683
.56687
.36877
.36880
.36884
.36887
52
51
50
49
+ 3'
13
14
15
9.55691
.55695
.55699
.55704
.36030
.36054
.36057
.36061
9.55943
.55947
.55951
.55955
.36360
.36364
.36367
.36371
9.56194
.56198
.56202
.56206
.36470
.36473
.36477
.36480
9.56443
.56447
.56451
.56456
.36680
.36684
.36687
.38691
9.56692
.56696
.56700
.56704
.36891
.36894
.36898
.36901
48
47
46
45
+ *^
17
18
19
9.55708
.55712
.55716
.55721
.36064
.36068
.38071
.36075
9.55960
.55964
.55968
.55972
.36374
.36378
.36381
.36385
9.56210
.56214
.56219
.56223
.36484
.36487
.36491
.36494
9.56460
.56464
.56468
.56472
.36694
.36698
.36701
.36705
9.56708
.56712
.56716
.56720
.36905
.36908
.36913
.36915
44
43
42
41
+ 5'
21
22
23
9.55725
.55729
.55733
.55737
.36078
.36083
.36085
.36089
9.55976
.55981
.55985
.55989
.36388
.36393
.36395
.36399
9.56227
.56231
.56235
.56239
.36498
.36501
.36505
.36508
9.56476
.56480
.56485
.56489
.36708
.38712
.36715
.36719
9.56725
.56729
.56733
.56737
.36919
.36933
.36926
.36939
40
39
38
37
36
35
34
S3
+ 6'
25
26
27
9.55742
.55746
.55750
.55754
.36093
.36096
.36099
.36103
9.55993
.55997
.56001
.56006
.36303
.36306
.36309
.36313
9.56244
.56248
.56252
.56256
.36513
.36515
.36519
.36533
9.56493
.56497
.56501
.56505
.36722
.36736
.36739
.36733
9.56741
.56745
.56749
.56753
.36933
.36936
.36940
.36943
+ r
29
SO
SI
9.55758
.55763
.55767
.55771
.36106
.36110
.36113
.36117
9.56010
.56014
.56018
.56022
.36316
.36330
.36333
.36337
9.56260
.56264
.56269
.56273
.36536
.36539
.36533
.36536
9.56509
.56514
.56518
.56522
.36736
.36740
.36743
.36747
9.56758
.56762
.56766
.56770
.36947
.36950
.36954
.36957
32
31
30
29
+ 8'
S3
S4
S5
9.55775
.55779
.55784
.55788
.36120
.36134
.36137
.36131
9.56027
.56031
.56035
.56039
.36330
.36334
.36337
.36341
9.56277
.56281
.56285
.56289
.36549
.36543
.36547
.36551
9.56526
.56530
.56534
.56538
.36750
.36754
.36757
.36761
9.56774
.56778
.56782
.56786
.36961
.36964
.36968
.36971
28
27
26
25
-f 9^
S7
S8
S9
9.55792
.55796
.55800
.55805
.36134
.36138
.36141
.36145
9.56043
.56047
.56052
.56056
.36344
.36348
.36351
.36355
9.56294
.56298
.56302
.56306
.36554
.36558
.36561
.36565
9.56543
.56547
.56551
.56555
.36764
.36768
.36771
.36775
9.56791
.56795
.56799
.56803
.36975
.36978
.36983
.36985
24
23
22
21
+ W
41
42
43
9.55809
.55813
.55817
.55821
.36148
.36153
.36155
.36159
9.56060
.56064
.56068
.56073
.36358
.36363
.36365
.36368
9.56310
.56314
.56318
.56323
.36568
.36573
.36575
.36579
9.56559
.56563
.56567
.56572
.36778
.36783
.36785
.36789
9.56807
.56811
.56815
.56819
.36989
.36993
.36996
.36999
20
19
18
17
+ 11'
45
46
47
9.55826
.55830
.55834
.55838
.36163
.36166
.36169
.36173
9.56077
.56081
.56085
.56089
.36373
.36376
.36379
.36383
9.56327
.56331
.56335
.56339
.36583
.36586
.36589
.36593
9.56576
.56580
.56584
.56588
.36793
.36796
.36799
.36803
9.56824
.56828
.56832
.56836
.37003
.37006
.37010
.37013
16
15
U
IS
+ 12'
49
50
51
9.55842
.55846
.55851
.55855
.36176
.36180
.36183
.36187
9.56093
.56098
.56102
.56106
.36386
.36389
.36393
.36396
9.56343
.56348
.56352
.56356
.36596
.36600
.36603
.36607
9.56592
.56596
.56601
.56605
.36806
.36810
.36813
.36817
9.56840
.56844
.56848
.56852
.37017
.37030
.37034
.37037
12
11
10
9
+ 13'
53
54
55
9.55859
.55863
.55867
.55872
.36190
.36194
.36197
.36201
9.56110
.56114
.56118
.56123
.36400
.36403
.36407
.36410
9.56360
.56364
.56368
.56373
.36610
.36614
.36617
.36631
9.56609
.56613
.56617
.56621
.36830
.36834
.36837
.36831
9.56856
.56861
.56865
.56869
.37031
.37034
.37038
.37041
8
7
6
5
+ 14'
57
58
59
9.55876
.55880
.55884
.55888
.36304
.36308
.36211
.36215
9.56127
.56131
.56135
.56139
.36414
.36417
.36421
.36424
9.56377
.56381
.56385
.56389
.36634
.36638
.36631
.36635
9.56625
.56630
.56634
.56638
.36834
.36838
.36841
.36845
9.56873
.56877
.56881
.56885
.37045
.37049
.37053
.37055
4
3
2
1
+ 15'
9.55893
.3631S
9.56144
.36428
9.56393
.36638
9.56642
.36848
9.56889
.37059
19^ 4m
ighsm
igh^m
ighim
19^ Qm
Page 104]
TABLE IV.
Haversines.
s
5ft Om
75° (K
5ft im 750 15/
5h fro 75° 30'
5ft 5"* 75"* 45'
5h 4m
76° 0'
s
Log. Hav.
Nat. Hav.
Log. IIrv.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
s
9.56889
.56893
.56898
.56902
.37059
.37063
.37066
.37070
9.57136
.57140
.57144
.57148
.37370
.37373
.37377
.37280
9.57381
.57385
.57389
.57393
.37481
.37485
.37488
.37493
9.57625
.57629
.57633
.57637
.37693
.37696
.37699
.37703
9.57868
.57872
.57876
.57881
.37904
.37907
.37911
.37914
6Q
59
58
57
56
55
54
53
+ r
5
6
7
9.56906
.56910
.56914
.56918
.37073
.37077
.37080
.37084
9.57152
.57156
.57160
.57165
.37384
.37387
.37391
.37395
9.57397
.57402
.57406
.57410
.37495
.37499
.37503
.37506
9.57642
.57646
.57650
.57654
.37706
.37710
.37713
.37717
9.57885
.57889
.57893
.57897
.37918
.37923
.37925
.37929
+ 2'
9
10
11
9.56922
.56926
.56931
.56935
.37087
.37091
.37094
.37098
9.57169
.57173
.57177
.57181
.37398
.37303
.37305
.37309
9.57414
.57418
.57422
.57426
.37509
.37513
.37516
.37530
9.57658
.57662
.57666
.57670
.37731
.37734
.37728
.37731
9.57901
.57905
.57909
.57913
.37933
.37936
.37939
.37943
52
51
50
49
+ 3'
IS
14
15
9.56939
.56943
.56947
.56951
.37101
.37105
.37108
.37112
9.57185
.57189
.57193
.57197
.37313
.37316
.37319
.37333
9.57430
.57434
.57438
.57442
.37533
.37537
.37530
.37534
9.57674
.57678
.57682
.57686
.37735
.37738
.37743
.37745
9.57917
.57921
.57925
.57929
.37946
.37950
.37953
.37957
48
47
46
45
+ 4'
17
18
19
9.56955
.56959
.56963
.56968
.37115
.37119
.37133
.37126
9.57201
.57205
.57210
.57214
.37336
.37330
.37333
.37337
9.57446
.57450
.57454
.57459
.37537
.37541
.37544
.37548
9.57690
.57694
.57698
.57702
.37749
.37753
.37756
.37759
9.57933
.57937
.57941
.57945
.37960
.37964
.37967
.37971
44
43
42
41
+ 5'
21
22
23
9.56972
.56976
.56980
.56984
.37139
.37133
.37136
.37140
9.57218
.57222
.57226
.57230
.37340
.37344
.37347
.37351
9.57463
.57467
.57471
.57475
.37551
.37555
.37558
.37563
9.57706
.57711
.57715
.57719
.37763
.37766
.37770
.37773
9.57949
.57953
.57957
.57961
.37974
.37978
.37983
.37985
40
39
38
31
+ 6'
25
26
27
9.56988
.56992
.56996
.57000
.37143
.37147
.37150
.37154
9.57234
.57238
.57242
.57246
.37354
.37358
.37361
.37365
9.57479
.57483
.57487
.57491
.37566
.37569
.37573
.37576
9.57723
.57727
.57731
.57735
.37777
.37780
.37784
.37788
9.57965
.57969
.57973
.57977
.37989
.37993
.37996
.37999
36
35
34
33
+ r
29
30
31
9.57005
.57009
.57013
.57017
.37157
.37161
.37164
.37168
9.57250
.57255
.57259
.57263
.37368
.37373
.37375
.37379
9.57495
.57499
.57503
.57507
.37580
.37583
.37587
.37590
9.57739
.57743
.57747
.57751
.37791
.37794
.37798
.37803
9.57981
.57986
.57990
.57994
.38003
.38006
.38010
.38013
32
31
30
29
+ 8'
33
34
35
9.57021
.57025
.57029
.57033
.37171
.37175
.37179
.37183
9.57267
.57271
.57275
.57279
.37383
.37386
.37389
.37393
9.57511
.57516
.57520
.57524
.37594
.37597
.37601
.37604
9.57755
.57759
.57763
.57767
.37805
.37809
.37813
.37816
9.57998
.58002
.58006
.58010
.38017
.38030
.38034
.38037
28
21
26
25
+ 9"
37
38
39
9.57037
.57042
.57046
.57050
.37186
.37189
.37193
.37196
9.57283
.57287
.57291
.57295
.37397
.37400
.37404
.37407
9.57528
.57532
.57536
.57540
.37608
.37611
.37615
.37618
9.57771
.57775
.57779
.57783
.37819
.37833
.37836
.37830
9.58014
.58018
.58022
.58026
.38031
.38034
.38038
.38043
24
23
22
21
20
19
18
17
+ W
41
42
43
9.57054
.57058
.57062
.57066
.37300
.37303
.37307
.37310
9.57299
.57304
.57308
.57312
.37411
.37414
.37418
.37431
9.57544
.57548
.57552
.57556
.37633
.37635
.37639
.37633
9.57787
.57792
.57796
.57800
.37833
.37837
.37840
.37844
9.58030
.58034
.58038
.58042
.38045
.38049
.38053
.38056
+ U'
■'^
46
47
9.57070
.57074
.57078
.57083
.37314
.37317
,37331
.37334
9.57316
.57320
.57324
.57328
.37435
.37438
.37433
.37435
9.57560
.57564
.57568
.57572
.37636
.37639
.37643
.37647
9.57804
.57808
.57812
.57816
.37847
.37851
.37855
.37858
9.58046
.58050
.58054
.58058
.38059
.38063
.38066
.38070
16
15
14
13
+ 13'
49
50
51
9.57087
.57091
.57095
.57099
.37338
.37231
.37335
.37238
9.57332
.57336
.57340
.57344
.37439
.37443
.37446
.37449
9.57577
.57581
.57585
.57589
.37650
.37654
.37657
.37661
9.57820
.57824
.57828
.57832
.37863
.37865
.37869
.37873
9.58062
.58066
.58070
.58074
.38073
.38077
.38080
.38084
12
11
10
9
+ 13'
53
54
55
+ 14'
57
58
59
9.57103
.57107
.57111
.57115
.37343
.37345
.37349
.37353
9.57348
.57353
.57357
.57361
.37453
.37456
.37460
.37463
9.57593
.57597
.57601
.57605
.37664
.37668
.37671
.37675
9.57836
.57840
.57844
.57848
.37876
.37879
.37883
.37886
9.58078
.58082
.58086
.58090
.38087
.38091
.38095
.38098
8
7
6
5
9.57119
.57124
.57128
.57132
.37356
.37359
.37363
.37366
9.57365
.57369
.57373
.57377
.37467
.37470
.37474
.37477
9.57609
.57613
.57617
.57621
.37678
.37683
.37685
.37689
9.57852
.57856
.57860
.57864
.37890
.37893
.37897
.37900
9.58094
.58098
.58102
.58106
.38103
.38105
.38109
.38113
4
3
S
1
+ 15'
9.57136
.37370
9.57381
.37481
9.57625
.37693
9.57868
.37904
9.58110
.38116
18h 59m
15ft 55m
18^ 57m
18^ 56^
i5ft 55m 1
TABLE IV. [Page 106
HaversincB.
s
5^5mU°W 1
5h 6m 76° 30' |
5h jm 76° 45/
5A 8m 77° 0' |
571577177015/ 1
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
s
1
2
3
9.58110
.58114
.58118
.58122
.38116
.38119
.38133
.38126
9.58351
.58355
.58359
.58363
.38328
.38331
.38335
.38338
9.58591
.58595
.58599
.58603
.38540
.38544
.38547
.38551
9.58830
.58834
.58838
.58842
.38752
.38756
.38760
.38763
9.59068
.59072
.59076
.59079
.38965
.38969
.38972
.38976
60
59
58
57
+ r
5
6
7
9.58126
.58131
.58135
.58139
.38130
.38133
.38137
.38140
9.58367
.58371
.58375
.58379
.38343
.38345
.38349
.38353
9.58607
.58611
.58615
.58619
.38554
.3a558
.38561
.38565
9.58846
.58850
.58854
.58858
..?8767
.38770
.38774
.38777
9.59083
.59087
.59091
.59095
.38979
.38983
.38986
.38990
56
55
54
53
+ 2^
9
10
11
9.58143
.58147
.58151
.58155
.38144
.38148
.38151
.38155
9.58383
.58387
.58391
.58395
.38356
.38360
.38363
.38367
9.58623
.58627
.58631
.58635
.38568
.38572
.38575
.38579
9.58862
.58866
.58870
.58874
.38781
.38784
.38788
.38791
9.59099
.59103
.59107
.59111
.38994
.38997
.39001
.39004
52
51
50
49
+ 3^
13
14
15
9.58159
.58163
.58167
.58171
.38158
.38163
.38165
.38169
9.58399
.58403
.58407
.58411
.38370
.38374
.38377
.38381
9.58639
.58643
.58647
.58651
.38583
.38586
.38590
.38593
9.58878
.58882
.58885
.58889
.38795
.38799
.38803
.38806
9.59115
.59119
.59123
.59127
.39008
.39011
.39015
.39018
48
47
46
45
+ 4^
17
IS
19
9.58175
.58179
.58183
.58187
.38173
.38176
.38179
.38183
9.58415
.58419
.58423
.58427
.38384
.38388
.38391
.38395
9.58655
.58659
.58663
.58667
.38597
.38600
.38604
.38607
9.58893
.58897
.58901
.58905
.38809
.38813
.38816
.38830
9.59131
.59135
.59139
.59143
.39033
.39035
.39029
.39033
U
43
42
41
+ 5^
21
22
23
9.58191
.58195
.58199
.58203
.38186
.38190
.38193
.38197
9.58431
.58435
.58439
.58443
.38398
.38403
.38406
.38409
9.58671
.58675
.58679
.58683
.38611
.38614
.38618
.38631
9.58909
.58913
.58917
.58921
.38833
.38837
.38830
.38834
9.59147
.59151
.59155
.59158
.39036
.39040
.39043
.39047
40
39
38
37
+ 6'
25
26
27
9.58207
.58211
.58215
.58219
.38300
.38304
.38308
.38311
9.58447
.58451
.58455
.58459
.38413
.38416
.38430
.38433
9.58687
.58691
.58695
.58699
.38635
.38638
.38632
.38636
9.58925
.58929
.58933
.58937
.38837
.38841
.38845
.38848
9.59162
.59166
.59170
.59174
.39050
.39054
.3tK»7
.39061
36
35
34
33
+ r
29
SO
31
9.58223
.58227
.58231
.58235
.38315
.38318
.38333
.38335
9.58463
.58467
.58471
.58475
.38437
.38430
.38434
.38437
9.58703
.58707
.58711
.58715
.38639
.38643
.38646
.38650
9.58941
.58945
.58949
.58953
.38853
.38855
.38859
.38863
9.59178
.59182
.59186
.59190
.39064
.39068
.39073
.39075
32
31
30
29
+ 8-
33
34
35
9.58239
.58243
.58247
.58251
.38339
.38333
.38336
.38339
9.58479
.58483
.58487
.58491
.38441
.38444
.38448
.38451
9.58719
.58723
.58727
.58731
.38653
.38657
.38660
.38664
9.58957
.58961
.58965
.58969
.38866
.38869
.38873
.38876
9.59194
.59198
.59202
.59206
.39079
.39083
.39086
.39089
28
27
26
25
+ r
37
38
39
9.58255
.58259
.58263
.58267
.38343
.38346
.38350
.38354
9.58495
.58499
.58503
.58507
.38455
.38459
.38463
.38466
9.58735
.58739
.58742
.58746
.38667
.38671
.38675
.38678
9.58973
.58977
.58981
.58985
.38880
.38884
.38887
.38891
9.59210
.59214
.59218
.59222
.39093
.39096
.39100
.39103
24
23
22
21
+ W
41
42
43
9.58271
.58275
.58279
.58283
.38357
.38361
.38364
.38368
9.58511
.58515
.58519
.58523
.38469
.38473
.38476
.38480
9.58750
.58754
.58758
.58762
.38682
.38685
.38689
.38693
9.58989
.58992
.58996
.59000
.38894
.38898
.38901
.38905
9.59225
.59229
.59233
.59237
.39107
.39111
.39114
.39118
20
19
18
17
+ 11^
45
46
47
9.58287
.58291
.58295
.58299
.38371
.38375
.38378
.38383
9.58527
.58531
.58535
.58539
.38483
.38487
.38490
.38494
9.58766
.58770
.58774
.58778
.38696
.38699
.38703
.38706
9.59004
.59008
.59012
.59016
.38908
.38913
.38915
.38919
9.59241
.59245
.59249
.59253
.39131
.39135
.39138
.39133
16
15
14
IS
+ ir
49
50
51
9.58303
.58307
.58311
.58315
.38385
.38389
.38393
.38396
9.58543
.58547
.58551
.58555
.38498
.38501'
.38505
.38508
9.58782
.58786
.58790
.58794
.38710
.38713
.38717
.38731
9.59020
.59024
.59028
.59032
.38933
.38936
.38930
.38933
9.59257
.59261
.59265
.59269
.39135
.39139
.39143
.39146
12
11
10
9
+ 13^
53
54
55
9.58319
.58323
.58327
.58331
.38399
.38303
.38307
.38310
9.58559
.58563
.58567
.58571
.38513
.38515
.38519
.38533
9.58798
.58802
.58806
.58810
.38734
.38738
.38731
.38735
9.59036
.59040
.59044
.59048
.38937
.38940
.38944
.38947
9.59273
.59277
.59281
.59285
.39150
.39153
.39157
.39160
8
4
6
5
+ W
57
58
59
9.58335
.58339
.58343
.58347
.38314
.38317
.38321
.38334
9.58575
.58579
.58583
.58587
.38536
.38539
.38533
.38536
9.58814
.58818
.58822
.58826
.38738
.38743
.38745
.38749
9.59052
.59056
.59060
.59064
.38951
.38954
.38958
.38963
9.59289
.59292
.59296
.59300
.39164
.39167
.39171
.39174
4
3
2
+ W
9.58351
.38338
9.58591
.38540
9.58830
.38753
9.59068
.38965
9.59304
.39178
18^ 54"»
18^ 53m
18^ 52m
18h oim
18h 50m
Page 106] TABLE IV.
naversines.
s
5fe iO™ 77° 30'
5fe nm 77° 45'
5h 12m 78° C
5A 13m 78° 15'
5h 14m 78° 30'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.59304
.59308
.59312
.59316
.39178
.39183
.39185
.39189
9.59540
..59544
.59548
.59552
.39391
.39395
.39398
.39402
9.59774
.59778
.59782
.59786
.39604
.39608
.39612
.39615
9.60008
.60012
.60016
.60020
.39818
.39821
.39825
.39829
9.60240
.60244
.60248
.60252
.40032
.40035
.40039
.40042
60
59
58
57
+ r
5
6
7
9.59320
.59324
.59328
.59332
.39193
.39196
.39199
.39203
9.59556
.59559
.59563
.59567
.39405
.39409
.39412
.39416
9.59790
.59794
.59798
.59802
.39619
.39622
.39626
.39629
9.60023
.60027
.60031
.60035
.39832
.39836
.39839
.39843
9.60256
.60260
.60263
.60267
.40046
.40049
.40053
.40057
56
55
54
53
+ 3'
9
10
11
9.59336
.59340
.59344
.59348
.39206
.39210
.39214
.39317
9.59571
.59575
.59579
.59583
.39420
.39423
.39427
.39430
9.59806
.59809
.59813
.59817
.39633
.39636
.39640
.39644
9.60039
.60043
.60047
.60051
.39846
.39850
.39854
.39857
9.60271
.60275
.60279
.60283
.40060
.40064
.40067
.40071
52
51
50
4a
48
47
46
45
+ 3'
13
14
15
9.59351
.59355
.59359
.59363
.39221
.39224
.39238
.39331
9.59587
.59591
.59595
.59599
.39434
.39437
.39441
.39444
9.59821
.59825
.59829
.59833
.39647
.39651
.39654
.39658
9.60054
.60058
.60062
.60066
.39861
.39884
.39868
.39871
9.60287
.60291
.60294
.60298
.40074
.40078
.40081
.40085
+ 4'
17
18
19
9.59367
.59371
.59375
.59379
.39335
.39338
.39242
.39245
9.59602
.59606
.59610
.59614
.39448
.39451
.39455
.39459
9.59837
.59841
.59845
.59848
.39661
.39665
.39668
.39672
9.60070
.60074
.60078
.60082
.39875
.39878
.39882
.39886
9.60302
.60306
.60310
.60314
.40089
.40092
.40096
.40099
U
43
42
41
+ 5'
21
22
23
9.59383
.59387
.59391
.59395
.39249
.39253
.39256
.39260
9..59618
.59622
.59626
.59630
.39462
.3946G
.39469
.39473
9.59852
.59856
.59860
.59864
.39676
.39679
.39683
.39686
9.60085
.60089
.60093
.60097
.39889
.39893
.39896
.39900
9.60318
.60321
.60325
.60329
.40103
.40106
.40110
.40114
40
39
38
37
+ ^
25
26 5
27
9.59399
.59403
( .59406
.59410
.39263
.39267
.39270
.39274
9.59634
.59638
.59642
.59646
.39476
.39480
.39484
.39487
9.59868
.59872
.59876
.59880
.39890
.39693
.39697
.39700
9.60101
.60105
.60109
.60113
.39903
.39907
.39910
.39914
9.60333
.60337
.60341
.60345
.40117
.40121
.40124
.40128
36
35
34
33
+ y
29
30
31
9.59414
.59418
.59422
.59426
.39277
.39281
.39285
.39288
9.59649
.59653
.59657
.59661
.39491
.39494
.39498
.39501
9.59883
.59887
.59891
.59895
.39704
.39708
.39711
.39715
9.60116
.60120
.60124
.60128
.39918
.39921
.39925
.39928
9.60348
.60352
.60356
.60360
.40131
.40135
.40139
.40142
32
31
30
29
+ 8'
33
34
35
9.59430
.59434
.59438
.59442
.39292
.39295
.39299
.39302
9.59665
..59669
.59673
.59677
.39505
.39508
.39512
.39516
9.59899
.59903
.59907
.59911
.39718
.39722
.39725
.39729
9.60132
.60136
.60140
.60144
.39932
.39935
.39939
.39943
9.60364
.60368
.60372
.60375
.40146
.40149
.40153
.40156
28
27
26
25
+ 9^
37
38
39
9.59446
.59450
.59454
.59458
.39306
.39309
.39313
.39317
9.59681
.59685
.59688
.59692
.39519
.39523
.39526
.39530
9.59915
.59918
.59922
.59926
.39733
.39736
.39739
.39743
9.60147
.60151
.60155
.60159
.39946
.39950
.39953
.39957
9.60379
.60383
.60387
.60391
.40160
.40163
.40167
.40171
24
23
22
21
+ W
41
42
43
9.59461
.59465
.59469
.59473
.39330
.39324
.39327
.39331
9.59696
.59700
.59704
.59708
.39533
.39537
.39540
.39544
9.59930
.59934
.59938
.59942
.39746
.39750
.39754
.39757
9.60163
.60167
.60171
.60175
.39960
.39964
.39967
.39971
9.60395
.60399
.60402
.60406
.40174
.40178
.40181
.40185
20
19
18
17
+ 11'
45
46
47
9.59477
.59481
.59485
.59489
.39334
.39338
.39341
.39345
9.59712
.59716
.59720
.59724
.39548
.39551
.39555
.39558
9.59946
.59950
.59953
.59957
.39761
.39765
'39768
.39772
9.60178
.60182
.60186
.60190
.39975
.39978
.39982
.39985
9.60410
.60414
.60418
.60422
.40188
.40192
.40196
.40199
16
15
14
13
+ 12'
49
50
51
9.59493
.59497
.59501
.59505
.39348
.39352
.39356
.39359
9.59728
.59731
.59735
.59739
.39562
.39565
.39569
.39572
9.59961
.59965
.59969
.59973
.39775
.39779
.39782
.39786
9.60194
.60198
.60202
.60206
.39989
.39992
.39996
.40000
9.60426
.60429
.60433
.60437
.40203
.40206
.40210
.40213
12
11
10
9
+ 13'
53
54
55
9.59508
.59512
..59516
.59520
.39363
.39366
.39370
.39373
9.59743
.59747
.59751
.59755
.39576
.39580
.39583
.39587
9.59977
.59981
.59985
.59988
.39789
.39793
.39796
.39800
9.60209
.60213
.60217
.60221
.40003
.40007
.40010
.40014
9.60441
.60445
.60449
.60452
.40217
.40220
.40224
.40238
8
7
6
5
4
3
2
1
+ 14'
.57
59
9.59524
.59528
.59532
.59536
.39377
.39380
.39384
.39388
9.59759
.59763
.59767
.59770
.39590
.39594
.39597
.39601
9.59992
.59996
.60000
.60004
.39803
.39807
.39811
.39814
9.60225
.60229
.60233
.60236
.40017
.40021
.40034
.40038
9.60456
.60460
.60464
.60468
.40231
v40335
.40238
.40242
+ 15'
9.59540
.39391
9.59774
.39604
9.60008
.39818
9.60240
.40033
9.60472 .40345
18^ 49m
18^ 48^
isn 4Tm
18h 46m
18fi45m
TABLE IV. [Page 107
Haversines.
s
5 A J.5m 78° 45'
ofi 16^ 79° 0'
5h 17m 790 15'
5h ISm 79° 30'
5h 19m 79° iy
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.60472
.60476
.60479
.60483
.40345
.40249
.40253
.40256
9.60702
.60706
.60710
.60714
.40460
.40483
.40467
.40470
9.60931
.60935
.60939
.60943
.40674
.40677
.40681
.40885
9.61160
.61164
.61167
.61171
.40888
.40893
.40895
.40899
9.61387
.61391
.61395
.61399
.41103
.41106
.41110
.41114
60
59
58
57
+ 1'
5
6
7
9.60487
.60491
.60495
.60499
.40280
.40283
.40387
.40270
9.60717
.60721
.60725
.60729
.40474
.40477
.40481
.40485
9.60947
.60951
.60954
.60958
.40888
.40692
.40695
.40899
9.61175
.61179
.61183
.61186
.40903
.40906
.40910
.40913
9.61402
.61406
.61410
.61414
.41117
.41121
.41124
.41128
56
55
54
53
+ ^
9
10
11
9.60502
.60506
.60510
.60514
,40274
.40277
.40281
.40285
9.60733
.60737
.60740
.60744
.40488
.40493
.40495
.40499
9.60962
.60966
.60970
.60973
.40702
.40708
.40710
.40713
9.61190
.61194
.61198
.61202
.40917
.40930
.40934
.40938
9.61417
.61421
.61425
.61429
.41131
.41135
.41139
.41143
52
51
50
49
+ 3'
IS
14
15
9.60518
.60522
.60526
.60529
.40288
.40393
.40295
.40299
9.60748
.60752
.60756
.60760
.40502
.40506
.40510
.40513
9.60977
.60981
.60985
.60989
.40717
.40720
.40724
.40727
9.61205
.61209
.61213
.61217
.40931
.40935
.40938
.40943
9.61433
.61436
.61440
.61444
.41146
.41149
.41153
.41156
48
47
46
45
+ i'
17
18
19
9.60533
.60537
.60541
.60545
.40303
.40306
.40310
.40313
9.60763
.60767
.60771
.60775
.40517
.40520
.40524
.40537
9.60992
.60996
.61000
.61004
.40731
.40735
.40738
.40743
9.61221
.61224
.61228
.61232
.40945
.40949
.40953
.40956
9.61448
.61451
.61455
.61459
.41160
.41164
.41167
.41171
U
43
42
41
+ 5'
21
22
23
9.60549
.60552
.60556
.60560
.40317
.40320
.40324
.40338
9.60779
.60783
.60786
.60790
,40531
.40535
.40538
.40543
9.61008
.61012
.61015
.61019
.40745
.40749
'40753
.40756
9.61236
.61240
.61243
.61247
.40980
.40963
.40967
.40970
9.61463
.61467
.61470
.61474
.41174
.41178
.41183
.41185
40
39
38
37
+ 6'
25
26
27
9.6056^
.60568
.60572
.60576
.40331
.40335
.40338
.40343
9.60794
.60798
.60802
.60805
.40545
.40549
.40553
.40556
9.61023
.61027
.61031
.61034
.40760
.40763
.40767
.40770
9.61251
.61255
.61258
.61262
.40974
.40978
.40981
.40985
9.61478
.61482
.61485
.61489
.41189
.41193
.41198
.41199
36
35
34
33
+ r
29 •
30 1
31 '
9.60579
.60583
.60587
.60591
.40345
.40349
.40353
.40356
9.60809
.60813
.60817
.60821
.40560
.40563
.40567
.40570
9.61038
.61042
.610i6
.61050
.40774
.40777
.40781
.40785
9.61266
.61270
.61274
.61277
.40988
.40993
.40996
.40999
9.61493
.61497
.61500
.61504
.41303
.41307
.41310
.41314
32
sli
30
29
+ 8"
33 -
34 '
35 '
9.60595
.60599
.60602
.60606
.40360
.40363
.40367
.40370
9.60825
.60828
.60832
.60836
.40574
.40577
.40581
.40585
9.61053
.61057
.61061
.61065
.40788
.40793
.40795
.40799
9.61281
.61285
.61289
.61293
.41003
.41006
.41010
.41013
9.61508
.61512
.61516
.61519
.41317
.41331
.41225
.41228
28
27
26
25
+ 9^
37 -
38
39
9.60610
.60614
.60618
.60622
.40374
.40377
.40381
.40385
9.60840
.60844
.60847
.60851
.40588
.40593
.40595
.40599
9.61069
.61072
.61076
.61080
.40803
.40806
.40810
.40813
9.61296
.61300
.61304
.61308
.41017
.41031
.41024
.41028
9.61523
.61527
.61531
.61534
.41333
.41335
.41339
.41343
24
23
22
21
+ 1(K
42
43 '
9.60625
.60629
.60633
.60637
.40388
.40393
.40395
.40399
9.60855
.60859
.60863
.60867
.40603
.40606
.40610
.40613
9.61084
.61088
.61091
.61095
.40817
.40820
.40834
.40827
9.61312
.61315
.61319
.61323
.41031
.41035
.41039
.41042
9.61538
.61542
.61546
.61549
.41346
.41250
.41253
.41257
20
19
18
17
+ 11'
45
46
47
9.60641
.60645
.60648
.60652
.40402
.40406
.40410
.40413
9.60870
.60874
.60878
.60882
.40817
.40620
.40634
.40637
9.61099
.61103
.61107
.61110
.40831
.40835
.40838
.40842
9.61327
.61330
.61334
.61338
.41046
.41049
.41053
.41056
9.61553
.61557
.61561
.61565
.41280
.41264
.41267
.41371
16
15
14
13
+ 13'
49 '
50
51 ■
9.60656
.60660
.60664
.60668
.40417
.40420
.40424
.40427
9.60886
.60890
.60893
.60897
.40831
.40835
.40838
.40843
9.61114
.61118
.61122
.61126
.40845
.40849
.40853
.40856
9.61342
.61346
.61349
.61353
.41060
.41063
.41067
.41071
9.61568
.61572
.61576
.61580
.41375
.41278
.41382
.41285
12
11
10
9
+ 13'
53
54
55
9.60671
.60675
.60679
.60683
.40431
.40434
.40438
.40442
9.60901
.60905
.60909
.60912
.40845
.40649
.40652
.40656
9.61129
.61133
.61137
.61141
.40880
.40863
.40887
.40870
9.61357
.61361
.61364
.61368
.41074
.41078
.41082
.41085
9.61583
.61587
.61591
.61595
.41289
.41293
.41298
.41300
8
7
6
5
4
3
2
1
+ 14'
57 ■'
55
59
9.60687
.60691
.60694
.60698
.40445
.40449
.40453
.40456
9.60916
.60920
.60924
.60928
.40660
.40683
.40867
.40670
9.61145
.61148
.61152
.61156
.40874 i
.40878
.40881
.40885
9.61372
.61376
.61380
.61383
.41089
.41092
.41096
.41099
9.61598
.61602
.61606
.61610
.41303
.41307
.41310
.41314
+ 15'
9.60702
.40460
9.60931
.40674
9.61160
.40888
9.61387
.41103
9.61614
.41318
18^ 44"" 1
ISh 43m
18h 42^ 1
18h 4im
18h 40^ 1
Page 108] TABLE IV.
Haversines.
s
Sh 20m 80° (K
5h 2im 80° 15'
5h 22m 80° 30'
5h 23m 80° 45'
5h 24^ 81° 0'
s
Log. Hav
Nat. Hav
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav.
1
2
3
9.61614
.61617
.61621
.61625
.41318
.41331
.41335
.41338
9.61839
.61843
.61846
.61850
.41533
.41536
.41540
.41543
9.62063
.62067
.62071
.62074
.41748
.41751
.41755
.41758
9.62287
.62290
.62294
.62298
.41963
.41966
.41970
.41974
9.62509
.62513
.62516
.62520
.43178
.43183
.43185
.43189
60
59
58
57
+ r
5
6
7
9.61629
.61632
.61636
.61640
.41333
.41335
.41339
.41343
9.61854
.61858
.61861
.61865
.41547
.41550
.41554
.41558
9.62078
.62082
.62086
.62089
.41763
.41766
.41769
.41773
9.62301
.62305
.62309
.62313
.41977
.41981
.41984
.41988
9.62524
.62527
.62531
.62535
.43193
.43196
.43300
.43303
56
55
54
53
52
51
50
49
48
47
46
45
+ 2'
9
10
11
9.61644
.61647
.61651
.61655
.41346
.41350
.41353
.41357
9.61869
.61873
.61876
.61880
.41661
.41565
.41568
.41573
9.62093
.62097
.62100
.62104
.41776
.41780
.41783
.41787
9.62316
.62320
.62324
.62327
.41993
.41995
.41999
.43003
9.62538
.62542
.62546
.62550
.43307
.43311
.43314
.43218
+ 3^
13
14
15
9.61659
.61662
.61666
.61670
.41361
.41364
.41368
.413?!
9.61884
.61888
.61891
.61895
.41576
.41579
.41583
.41586
9.62108
.62112
.62115
.62119
9.62123
.62127
.62130
.62134
.41791
.41794
.41798
,41801
9.62331
.62335
.62338
.62342
.43006
.43010
.43013
.43017
9.62553
.62557
.62561
.62564
.43231
.43335
.43339
.43333
+ 4'
17
18
19
9.61674
.61677
.61681
.61685
.41375
.41378
.41383
.41386
9.61899
.61903
.61906
.61910
.41590
.41593
.41597
.41601
.41805
.41809
.41813
.41816
9.62346
.62350
.62353
.62357
.43030
.43034
.43037
.43031
9.62568
.62572
.62575
.62579
.43336
.43339
.43343
.43347
44
43
42
41
+ 5^
21
22
23
9.61689
.61692
.61696
.61700
.41389
.41393
.41396
.41400
9.61914
.61917
.61921
.61925
.41604
.41608
.41611
.41615
9.62138
.62141
.62145
.62149
.41819
.41833
.41837
.41830
9.62361
.62364
.62368
.62372
.43035
.43038
.43043
.43045
.43049
.43053
.43056
.43060
9.62583
.62586
.62590
.62594
.43350
.43354
.43357
.43361
40
39
38
37
+ 6'
25
26
27
9.61704
.61708
.61711
.61715
.41404
.41407
.41411
.41414
9.61929
.61932
.61936
.61940
.41619
.41633
.41626
.41639
9.62153
.62156
.62160
.62164
.41834
.41837
.41841
.41844
9.62376
.62379
.62383
.62387
9.62598
.62601
.62605
.62609
.43364
.43268
.42272
.43375
36
35
34
33
+ r
29
30
31
9.61719
.61723
.61726
.61780
.41418
.41431
.41435
.41439
9.61944
.61947
.61951
.61955
.41633
.41636
.41640
.41644
9.62168
.62171
.62175
.62179
.41848
.41853
.41855
.41859
9.62390
.62394
.62398
.62402
.43063
.43067
.43071
.43074
9.62612
.62616
.62620
.62623
.43379
.43383
.43386
.42290
32
31
SO
29
+ 8^
33
34
35
9.61734
.61738
.61741
.61745
.41433
.41436
.41439
.41443
9.61959
.61962
.61966
.61970
.41647
.41651
.41654
.41658
9.62182
.62186
.62190
.62194
.41863
.41866
.41870
.41873
9.62405
.62409
.62413
.62416
.43078
.43081
.43085
.43089
9.62627
.62631
.62634
.62638
.43393
.43397
.43309
.43304
28
27
26
25
+ 9^
37
38
39
9.61749
.61753
.61756
.61760
.4144^
.41450
.41454
.41457
9.61974
.61977
.61981
.61985
.41663
.41665
.41669
.41673
9.62197
.62201
.62205
.62208
.41877
.41880
.41884
.41888
9.62420
.62424
.62427
.62431
.43093
.43096
.43099
.43103
9.62642
.62646
.62649
.62653
.43308
.43311
.43315
.43318
24
23
22
21
+ W
41
42
43
9.61764
.61768
.61771
.61775
.41461
.41464
.41468
.41473
9.61989
.61992
.61996
.62000
.41676
.41679
.41683
.41687
9.62212
.62216
.62220
.62223
.41891
.41895
.41898
.41903
9.62435
.62439
.62442
.62446
.43106
.43110
.43114
.43117
9.62657
.62660
.62664
.62668
.43333
.43336
,43339
.43333
20
19
18
17
+ ir
45
46
47
9.61779
.61783
.61786
.61790
.41475
.41479
.41483
.41486
9.62003
.62007
.62011
.62015
.41690
.41694
.41697
.41701
9.62227
.62231
.62234
.62238
.41905
.41909
.41913
.41916
9.62450
.62453
.62457
.62461
.43131
.43134
.43138
.43133
9.62671
.62675
.62679
.62682
.43336
.43340
.43344
.43347
16
15
14
13
+ VA"
49
50
51
9.61794
.61798
.61801
.61805
.41490
.41493
.41497
.41500
9.62018
.62022
.62026
.62030
.41705
.41708
.41713
.41715
9.62242
.62246
.62249
.62253
.41930
.41933
.41937
.41931
9.62464
.62468
.62472
.62476
.43135
.43139
.43143
.43146
9.626S6
.62690
.62693
.62697
.43351
.43354
.43358
.43361
12
11
10
9
+ l3^
53
54
55
9.61809
.61813
.61816
.61820
.41504
.41507
.41511
.41515
9.62033
.62037
.62041
.62045
.41719
.41733
.41736
.41730
9.62257
.62261
.62264
.62268
.41934
.41938
.41941
.41945
9.62479
.62483
.62487
.62490
.43150
.43153
.43157
.43160
9.62701
.62704
.62708
.62712
.43365
.43369
.43373
.43376
8
7
6
5
+ 14'
57
58
59
9.61824
.61828
.61831
.61835
.41518
.41533
.41535
.41539
9.62048
.62052
.62056
.62059
.41733
.41737
.41740
.41744
9.62272
.62275
.62279
.62283
.41949
.41953
.41956
.41959
9.62494
.62498
.62501
.62505
.43164
.43168
.43171
.43175
9.62716
.62719
.62723
.62727
.43379
.43383
.43387
.43390
4
3
2
1
+ W
9.61839
.41533
9.62063
.41748
9,62287
.41963
9.62509
.43178
9.62730
.43394
18h39m ' 1
IS^SSm 1
18h 37m 1
ISft S6m
18fi S5m 1
TABLE IV. [Page 109
Haversinea.
s
5ft f 5m 81° 15'
5h 26m 81° 30'
5h ojm 81° 45'
5h 2ST^ 82° 0'
5h 29m 82° 15'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
1
2
S
9.62730
.62734
.62738
.62741
.42394
.42397
.42401
.42405
9.62951
.62954
.62958
.62962
.42610
.42613
.42617
.42620
9.63170
.63174
.63177
.63181
.42825
.42839
.42833
.42836
9.63389
.63392
.63396
.63399
.43041
.43045
.43049
.43052
9.63606
.63610
.63613
.63617
.43257
.43261
.43265
.43268
60
59
58
57
+ V
5
6
7
9.62745
.62749
.62752
.62756
.42408
.42412
.42415
.42419
9.62965
.62969
.62973
.62976
.42624
.42628
.42631
.42635
9.63185
.63188
.63192
.63196
.42840
.42843
.42847
.42851
9.63403
.63407
.63410
.63414
.43056
.43059
.43063
.43067
9.63621
.63624
.63628
.63631
.43272
.43275
.43279
.43283
56
55
54
53
+ V
9
10
11
9.62760
.62763
.62767
.62771
.42423
.42426
.42430
.42433
9.62980
.62984
.62987
.62991
.42638
.42642
.42645
.42649
9.63199
.63203
.63207
.63210
.42854
.42858
.42861
.42865
9.63418
.63421
.63425
.63429
.43070
.43074
.43077
.43081
9.63635
.63639
.63642
.63646
.43286
.43290
.43293
.43297
52
51
50
49
+ 3'
13
14
15
9.62774
.62778
.62782
.62785
.42437
.42441
.42444
.42448
9.62995
.62998
.63002
.63006
.42653
.42656
.42660
.42663
9.63214
.63218
.63221
.63225
.42869
.42872
.42876
.42879
9.63432
.63436
.63439
.63443
.43085
.43988
.43092
.43095
9.63649
.63653
.63657
.63660
.43301
.43304
.43308
.43312
48
47
46
45
+ 4'
17
18
19
9.62789
.62793
.62796
.62800
.42451
.42455
.42459
.42462
9.63009
.63013
.63017
.63020
.42667
.42671
.42674
.42678
9.63228
.63232
.63236
.63239
.42883
.42887
.42890
.42894
9.63447
.63450
.63454
.63458
.43099
.43103
.43106
.43110
9.63664
.63668
.63671
.63675
.43315
.43319
.43322
.43326
44
43
42
41
+ 5'
21
22
23
9.62804
.62808
.62811
.62815
.42466
.42469
.42473
.42477
9.63024
.63028
.63031
.63035
.42681
.42685
.42689
.42692
9.63243
.63247
.63250
.63254
.42897
.42901
.42905
.42908
9.63461
.63465
.63468
.63472
.43113
.43117
.43121
.43124
9.63678
.63682
.63686
.63689
.43330
.43333
.43337
.43340
40
39
38
37
36
35
34
33
32
31
30
29
+ 6'
25
26
27
9.62819
.62822
.62826
.62830
.42480
.42484
.42487
.42491
9.63039
.63042
.63046
.63050
.42696
.42699
.42703
.42707
9.63258
.63261
.63265
.63269
.42912
.42915
.42919
.42923
9.63476
.63479
.63483
.63487
.43128
.43131
.43135
.43139
9.63693
.63696
.63700
.63704
.43344
.43348
.43351
.43355
+ r
29
30
31
9.62833
.62837
.62841
.62844
.42494
.42498
.42502
.42505
9.63063
.63057
.63061
.63064
.42710
.42714
.42717
.42721
9.63272
.63276
.63279
.63283
.42926
.42930
.42933
.42937
9.63490
.63494
.63497
.63501
.43142
.43146
.43149
.43153
9.63707
.63711
.63714
.63718
.43358
.43362
.43366
.43369
+ 8'
33
34
35
9.62848
.62852
.62855
.62859
.42509
.42512
.42516
.42520
9.63068
.63071
.63075
.63079
.42725
.42728
.42732
.42735
9.63287
.63290
.63294
.63298
.42941
.42944
.42948
.42951
9.63505
.63508
.63512
.63516
.43157
.43160
.43164
.43167
9.63722
.63725
.63729
.63733
.43373
.43376
.43380
.43384
28
27
26
25
+ 9'
37
38
39
9.62863
.62866
.62870
.62874
.42523
.42527
.42530
.42534
9.63082
.63086
.63090
.63093
.42739
.42743
.42746
.42750
9.63301
.63305
.63309
.63312
.42955
.42959
.42962
.42966
9.63519
.63523
.63526
.63530
.43171
.43175
.43178
.43182
9.63736
.63740
.63743
.63747
.43387
.43391
.43394
.43398
24
23
22
Ti
+ W
41
42
43
9.62877
.62881
.62885
.62888
.42538
.42541
.42545
.42548
9.63097
.63101
.63104
.63108
.42753
.42757
.42761
.42764
9.63316
.63320
.63323
.63327
.42969
.42973
.42977
.42980
9.63534
.63537
.63541
.63545
.43185
.43189
.43193
.43196
9.63751
.63754
.63758
.63761
.43402
.43405
.43409
.43412
20
19
18
17
16
15
14
13
+ 11'
45
46
47
9.62892
.62896
.62899
.62903
.42552
.42556
.42559
.42563
9.63112
.63115
.63119
.63123
.427«8
.42771
.42775
.42779
9.63330
.63334
.63338
.63341
.42984
.42987
.42991
.42995
9.63548
.63552
.63555
.63559
.43200
.43203
.43207
.43211
9.63765
.63769
.63772
.63776
.43416
.43420
.43423
.43427
+ ir
49
50
51
9.62907
.62910
.62914
.62918
.42566
.42570
.42574
.42577
9.63126
.63130
.63134
.63137
.42782
.42786
.42789
.42793
9.63345
.63349
.63352
.63356
.42998
.43002
.43005
.43009
9.63563
.63566
.63570
.63574
.43214
.43218
.43221
.43225
9.63779
.63783
.63787
.63790
.43430
.43434
.43438
.43441
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.62921
.62925
.62929
.62932
.42581
.42584
.42588
.42592
9.63141
.63145
.63148
.63152
.42797
.42800
.42804
.42807
9.63360
.63363
.63367
.63370
.43013
.43016
.43020
.43023
9.63577
.63581
.63584
.63588
.43229
.43232
.43236
.43239
9.63794
.63797
.63801
.63805
.43445
.43448
.43453
.43456
+ U'
57
58
59
9.62936
.62940
.62943
.62947
.42595
.42599
.42602
.42606
9.63156
.63159
.63163
.63166
.42811
.42815
.42818
.42822
9.63374
.63378
.63381
.63385
.43027
.43031
.43034
.43038
9.63592
.63595
.63599
.63602
.43243
.43247
.43250
.43254
9.63808
.63812
.63815
.63819
.43459
.43463
.43466
.43470
4
3
2
1
+ 15'
9.62951
.42610
9,63170
.42825
9.63389
.43041
9.63606
.43257
9.63823
.43474
18^ 34"^
18^ 33m
18h 32m. 1
18^ Sim
18^ SOm 1
Page 110]
TABLE IV.
Haversines.
s
5A 30^ 82° 30^
5hSim
82° 45^
Sh 32m 83° 0^
5h 33m 83° 15^
5'iJ4™83°3r 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav
1
2
S
9.63823
.63826
.63830
.63833
.43474
.43477
.43481
.43485
9.64038
.64042
.64046
.64049
.43690
.43694
.43697
.43701
9.64253
.64256
.64260
.64264
.43907
.43910
.43914
.43917
9.64467
.64470
.64474
.64477
.44123
.44127
.44130
.44134
9.64679
.64683
.64686
.64690
.44340
.44343
.44347
.44351
60
59
58
57
+ r
5
6
7
9.63837
.63841
.63844
.63848
.43488
.43493
.43495
.43499
9.64053
.64056
.64060
.64063
.43704
.43708
.43712
.43715
9.64267
.64271
.64274
.64278
.43921
.43925
.43928
.43933
9.64481
.64484
.64488
.64492
.44138
.44141
.44145
.44148
9.64694
.64697
.64701
.64704
.44354
.44358
.44362
.44365
56
55
54
53
+ r
9
10
11
9.63851
.63855
.63859
.63862
.43503
.43506
.43510
.43513
9.64067
.64071
.64074
.64078
.43719
.43723
.43726
.43730
9.64281
.64285
.64289
.64292
.43935
.43939
.43943
.43946
9.64495
.64499
.64502
.64506
.44152
.44156
.44159
.44163
9.64708
.64711
.64715
.64718
.44369
.44372
.44376
.44380
52
51
50
49
+ 3^
13
14
15
9.63866
.63869
.63873
.63877
.43517
.43521
.43534
.43538
9.64081
.64085
.64088
.64092
.43733
.43737
.43741
.43744
9.64296
.64299
.64303
.64306
.43950
.43953
.43957
.43961
9.64509
.64513
.64516
.64520
.44166
.44170
.44174
.44177
9.64722
.64725
.64729
.64732
.44383
.44387
.44390
.44394
48
47
46
45
+ *'
17
18
19
9.63880
.63884
.63887
.63891
.43531
.43535
.43539
.43543
9.64096
.64099
.64102
.64106
.43748
.43751
.43755
.43759
9.64310
.64314
.64317
.64321
.43964
.43968
.43973
.43975
9.64523
.64527
.64531
.64534
.44181
.44185
.44188
.44192
9.64736
.64740
.64743
.64747
.44398
.44401
.44405
.44408
44
43
42
41
40
39
38
37
36
35
34
33
+ 5'
21
22
23
9.63895
.63898
.63902
.63905
.43546
.43549
.43553
.43557
9.64110
.64113
.64117
.64121
.43762
.43766
.43769
.43773
9.64324
.64328
.64331
.64335
.43979
.43982
.43986
.43990
9.64538
.64541
.64545
.64548
.44195
.44199
.44203
.44306
9.64750
.64754
.64757
.64761
.44413
.44416
.44419
.44433
+ 6'
25
26
27
9.63909
.63913
.63916
.63920
.43560
.43564
.43567
.43571
9.64124
.64128
.64131
.64135
.43777
.43780
.43784
.43787
9.64339
.64342
.64346
.64349
.43993
.43997
.44000
.44004
9.64552
.64555
.64559
.64563
.44310
.44313
.44217
.44221
9.64764
.64768
.64771
.64775
.44427
.44430
.44434
.44437
+ r
29
30
31
9.63923
.63927
.63931
.63934
.43575
.43578
.43583
.43585
9.64139
.64142
.64146
.64149
.43791
.43795
.43798
.43802
9.64353
.64356
.64360
.64363
.44008
.44011
.44015
.44018
9.64566
.64570
.64573
.64577
.44234
.44338
.44331
.44335
9.64778
.64782
.64785
.64789
.44441
.44445
.44448
.44452
32
31
30
29
+ 8^
33
34
35
9.63938
.63941
.63945
.63949
.43589
.43593
.43596
.43600
9.64153
.64156
.64160
.64164
.43805
.43809
.43813
.43816
9.64367
.64371
.64374
.64378
.44022
.44026
.44029
.44033
9.64580
.64584
.64587
.64591
.44239
.44242
.44246
.44250
9.64793
.64796
.64800
.64803
.44455
.44459
.44463
.44466
28
27
26
25
+ 9^
37
38
39
9.63952
.63956
.63959
.63963
.43603
.43607
.43611
.43614
9.64167
.64171
.64174
.64178
.43830
.43834
.43827
.43831
9.64381
.64385
.64388
.64392
.44036
.44040
.44044
.44047
9.64594
.64598
.64602
.64605
.44253
.44257
.44260
.44264
9.64807
.64810
.64814
.64817
.44470
.44474
.44477
.44481
24
23
22:
21
+ W
41
42
43
9.63966
.63970
.63974
.63977
.43618
.43633
.43635
.43639
9.64181
.64185
.64189
.64192
.43834
.43838
.43842
.43845
9.64396
.64399
.64403
.64406
.44051
.44055
.44058
.44062
9.64609
.64612
.64616
.64619
.44268
.44271
.44275
.44378
9.64821
.64824
.64828
.64831
.44484
.44488
.44492
.44495
20
19
18
17
+ ir
45
46
47
9.63981
.63984
.63988
.63992
.43633
.43636
.43640
.43643
9.64196
.64199
.64203
.64206
.43849
.43852
.43856
.43860
9.64410
.64413
.64417
.64420
.44065
.44069
.44073
.44076
9.64623
.64626
.64630
.64633
.44282
.44286
.44389
.44293
9.64835
.64838
.64842
.64845
.44499
.44502
.44506
.44510
16
15
14
13
12
11
10
9
+ n'
49
50
51
9.63995
.63999
.64002
.64006
.43647
.43650
.43654
.43658
9.64210
.64214
.64217
.64221
.43863
.43867
.43870
.43874
9.64424
.64428
.64431
.64435
.44080
.44083
.44087
.44091
9.64637
.64640
.64644
.64648
.44296
.44300
.44304
.44307
9.64849
.64852
.64856
.64860
.44513
.44517
.44521
.44524
+ ir
5S
54
55
9.64010
.64013
.64017
.64020
.43661
.43665
.43668
.43672
9.64224
.64228
.64231
.64235
.43878
.43881
.43885
.43888
9.64438
.64442
.64445
.64449
.44094
.44098
.44101
.44105
9.64651
.64655
.64658
.64662
.44311
.44315
.44318
.44322
9.64863
.64867
.64870
.64874
.44538
.44531
.44535
.44539
8
7
6
5
+ 1¥
57
58
59
9.64024
.64028
.64031
.64035
.43676
.43679
.43683
.43686
9.64239
.64242
.64246
.64249
.43892
.43896
.43899
.43903
9.64452
.64456
.64460
.64463
.44109
.44112
.44116
.44120
9.64665
.64669
.64672
.64676
.44325
.44329
.44333
.44336
9.64877
.64881
.64884
.64888
.44543
.44546
.44549
.44553
4
3
S
1
+ 15'
9.64038
.43690
9.64253
.43907
9.64467
.44123
9.64679
.44340
9.64891
.44557
18h 29m
18h 28^
1811 27m
18^ 26m
i5ft
25m
TABLE IV.
Havereinea.
[Page 111
s
5^ 35m 83° 45'
SJi 36m 84° 0'
5h sjm 84° 15'
5h 38m
84° 30^
5hS9m
84° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.64891
.64895
.64898
.64902
.44557
.44560
.44564
.44568
9.65102
.65106
.65109
.65113
.44774
.44777
.44781
.44784
9.65312
.65316
.65319
.65323
.44991
.44994
.44998
.45001
9.65521
.65525
.65528
.65532
.45308
.45311
.45315
.45319
9.65729
.65733
.65736
.65740
.45435
.45439
.45433
.45436
60
59
58
57
+ r
5
6
7
9.64905
.64909
.64912
.64916
.44571
.44575
.44578
.44583
9.65116
-.65120
.65123
.65127
.44788
.44793
.44795
.44799
9.65326
.65330
.65333
.65337
.45005
.45009
.45013
.45016
9.65535
.65539
.65542
.65546
.45333
.45336
.45339
.45333
9.65743
.65747
.65750
.65754
.45439
.45443
.45447
.45450
56
55
54
53
+ It'
9
10
11
9.64919
.64923
.64926
.64930
.44586
.44589
.44593
.44596
9.65130
.65134
.65137
.65141
.44803
.44806
.44810
.44813
9.65340
.65344
.65347
.65351
.45030
.45033
.45037
.45030
9.65549
.65553
.65556
.65559
.45337
.45340
.45344
.45348
9.65757
.65761
.65764
.65767
.45454
.45458
.45461
.45465
52
51
50
49
+ y
IS
14
15
9.64934
.64937
.64941
.64944
.44600
.44604
.44607
.44611
9.65144
.65148
.65151
.65155
.44817
.44831
.44834
.44838
9.65354
.65358
.65361
.65365
.45034
.45038
.45041
.45045
9.65563
.65566
.65570
.65573
.45351
.45335
.45358
.45363
9.65771
.65774
.65778
.65781
.45468
.45473
.45476
.45479
48
47
46
45
+ i'
17
IS
19
9.64948
.64951
.64955
.64958
.44614
.44618
.44633
.44635
9.65158
.65162
.65165
.65169
.44831
.44835
.44839
.44843
9.65368
.65372
.65375
.65378
.45048
.45053
.45056
.45059
9.65577
.65580
.65584
.65587
.45366
.45369
.45373
.45376
9.65785
.65788
.65792
.65795
.45483
.45486
.45490
.45494
U
43
42
41
40
39
38
37
+ 5'
21
22
23
9.64962
.64965
.64969
.64972
.44639
.44633
.44636
.44640
9.65172
.65176
.65179
.65183
.44846
.44850
.44853
.44857
9.65382
.65385
.65389
.65392
.45063
.45067
.45070
.45074
9.65591
.65594
.65598
.65601
.45380
.45384
.45387
.45391
9.65799
.65802
.65806
.65809
.45497
.45501
.45505
.45508
+ 6'
25
26
27
9.64976
.64979
.64983
.64986
.44643
.44647
.44651
.44654
9.65186
.65190
.65193
.65197
.44880
.44864
.44868
.44871
9.65396
.65399
.65403
.65406
.45077
.45081
.45085
.45088
9.65605
.65608
.65612
.65615
.45395
.45398
.45303
.45305
9.65812
.65816
.65819
.65823
.4.5513
.45515
.45519
.45533
36
35
34
33
+ r
29
30
31
9.64990
.64993
.64997
.65000
.44658
.44661
.44665
.44669
9.65200
.65204
.65207
.65211
.44875
.44878
.44883
.44886
9.65410
.65413
.65417
.65421
.45093
.45096
.45099
.45103
9.65619
.65622
.65625
.65629
.45309
.45313
.45316
.45330
9.65826
.65830
.65833
.65837
.45536
.45530
.45534
.45537
32
31
30
29
+ 8'
33
34
85
9.65004
.65007
.65011
.65014
.44673
.44676
.44680
.44683
9.65214
.65218
.65221
.65225
.44889
.44893
.44897
.44900
9.65424
.65427
.65431
.65434
.45106
.45110
.45114
.45117
9.65632
.65636
.65639
.65643
.45334
.45337
.45331
.45334
9.65840
.65844
.65847
.65850
.45541
.45544
.45548
.45553
28
27
26
25
+ r
37
38
39
9.65018
.65021
.65025
.65028
.44687
.44690
.44694
.44698
9.65228
.65232
.65235
.65239
.44904
.44907
.44911
.44915
9.65438
.65441
.65445
.65448
.45131
.45134
.45138
.45133
9.65646
.65650
.65653
.65657
.45338
.45343
.45345
.45349
9.65854
.65857
.65861
.65864
.45555
.45559
.45563
.45566
24
23
22
21
+ 1(K
41
42
43
9.65032
.65035
.65039
.65043
.44701
.44705
.44708
.44713
9.65242
.65246
.65249
.65253
.44918
.44933
.44935
.44939
9.65452
.65455
.65459
.65462
.45135
.45139
.45143
.45146
9.65660
.65664
.65667
.65671
.45353
.45356
.45360
.45363
9.65868
.65871
.65875
.65878
.45570
.45573
.45577
.45581
20
19
18
17
16
15
14
IS
+ 11'
45
46
47
9.65046
.65050
.65053
.65057
.44716
.44719
.44733
.44737
9.65256
.65260
.65263
.65267
.44933
.44936
.44940
.44944
9.65466
.65469
.65473
.65476
.45150
.45153
.45157
.45161
9.65674
.65677
.65681
.65684
.45367
.45371
.45374
.45378
9.65881
.65885
.65888
.65892
.45584
.45588
.45593
.45595
+ n'
49
50
51
9.65060
.65064
.65067
.65071
.44730
.44734
.44737
.44741
9.65270
.65274
.65277
.65281
.44947
.44951
.44954
.44958
9.65480
.65483
.65486
.65490
.45164
.45168
.45173
.45175
9.65688
.65691
.65695
.65698
.45381
.45385
.45389
.45393
9.65895
.65899
.65902
.65906
.45599
.45603
.45606
.45610
12
11
10
9
+ 13'
53
54
55
9.65074
.65078
.65081
.65085
.44745
.44748
.44753
.44755
9.65284
.65288
.65291
.65295
.44963
.44965
.44969
.44973
9.65493
.65497
.65500
.65504
.45179
.45183
.45186
.45190
9.65702
.65705
.65709
.65712
.45396
.45400
.45403
.45407
9.65909
.65913
.65916
.65919
.45613
.45617
.45630
.45634
8
7
6
5
+ W
57
58
59
9.65088
.65092
.65095
.65099
.44759
.44763
.44766
.44770
9.65298
.65302
.65305
.65309
.44976
.44980
.44983
.44987
9.65507
.65511
.65514
.65518
.45193
.45197
.45300
.45304
9.65716
.65719
.65722
.65726
.45410
.45414
.45418
.45431
9.65923
.65926
.65930
.65933
.45638
.45631
.45635
.45639
4
3
2
1
+ 15'
9.65102
.44774
9.65312
.44991
9.65521
.45308
9.65729
.45435
9.65937
.45643
18J^
24'^
ISh 23^
18^ 22m
ISh 21m
18h 20m 1
Page 112]
TABLE IV.
Haversines.
s
5h40m
85° 0'
5h 41^ 85° 15'
5h42m
85° 30'
5h43m
85° 45'
5h44m
86° 0'
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
s
3
9.65937
.65940
.65944
.65947
.45642
.4564C
.45649
.45653
9.66143
.66146
.66150
.66153
.45860
.45863
.45867
.45870
9.66348
.66352
.66355
.66359
.46077
.46081
.46084
.46088
9.66553
.66556
.66560
.66563
.46295
.46298
.46302
.46305
9.66757
.66760
.66763
.66767
.46512
.46516
.46519
.46523
60
59
58
57
+ r
5
6
7
9.65950
.65954
.65957
.65961
.45657
.45660
.45664
.4566S
9.66157
.66160
.66164
.66167
.45874
.45878
.45881
.45885
9.66362
.66366
.66369
.66372
.46092
.46095
.46099
.46102
9.66567
.66570
.66573
.66577
.46309
.46313
.46316
.46320
9.66770
.66774
.66777
.66780
.46527
.46530
.46534
.46538
56
55
54
53
+ r
9
10
11
9.65964
.65968
.65971
.65975
.45671
.45675
.45678
.45682
9.06170
.66174
.66177
.66181
.45889
.45892
.45896
.45899
9.66376
.66379
.66383
.66386
.46106
.46110
.46113
.46117
9.66580
.66584
.66587
.66590
.46324
.46327
.46331
.46334
9.66784
.66787
.66791
.66794
.46541
.46545
.46548
.46552
52
51
50
49
+ 3'
13
14
15
9.65978
.65981
.65985
.65988
.45686
.45689
.45693
.45697
9.66184
.66188
.66191
.66194
.45903
.45907
.45910
.45914
9.66389
.66393
.66396
.66400
.46121
.46124
.46128
.46131
9.66594
.66597
.66601
.66604
.46338
.46342
.46345
.46349
9.66797
.66801
.66804
.66807
.46556
.46559
.46563
.46567
48
47
46
45
+ 4'
17
18
19
9.65992
.65995
.65999
.66002
.45700
.45704
.45707
.45711
9.66198
.66201
.66205
.66208
.45918
.45921
.45925
.45928
9.66403
.66407
.66410
.66413
.46135
.46139
.46142
.46146
9.66607
.66611
.66614
.66618
.46353
.46356
.46360
.46363
9.66811
.66814
.66818
.66821
.46570
.46574
.46577
.46581
44
43
42
41
+ y
21
22
23
9.66006
.66009
.66012
.66016
.45715
.45718
.45723
.45726
9.66212
.66215
.66218
.66222
.4593!?
.45936
.45939
.45943
9.66417
.66420
.66424
.66427
.46150
.46153
.46157
.46161
9.66621
.66624
.66628
.66631
.46367
.46371
.46374
.46378
9.66824
.66828
.66831
.66835
.46585
.46588
.46592
.46596
40
39
38
37
+ 6'
25
26
27
9.66019
.66023
.66026
.66030
.45729
.45733
.45736
.45740
9.66225
.66229
.66232
.66236
.45947
.45950
.45954
.45957
9.66430
.66434
.66437
.66441
.46164
.46168
.46171
,46175
9.66635
.66638
.66641
.66645
.46382
.46385
.46389
.46392
9.66838
.66841
.66845
.66848
.46599
.46603
.46606
.46610
36
35
34
33
+ r
29
30
31
9.66033
.66037
.66040
.66043
.45744
.45747
.45751
.45755
9.66239
.66242
.66246
.66249
.45961
.45965
.45968
.45972
9.66444
.66447
.66451
.66454
.46179
.46182
.46186
.46189
9.66648
.66652
.66655
.66658
.46396
.46400
.46403
.46407
9.66851
.66855
.66858
.66862
.46614
.46617
.46621
.46625
32
31
30
29
+ 8'
33
34
35
9.66047
.66050
.66054
.66057
.45758
.45762
.45765
.45769
9.66253
.66256
.66260
.66263
.45976
.45979
.45983
.45986
9.66458
.66461
.66464
.66468
.46193
.46197
.46200
.46204
9.66662
.66665
.66669
.66672
.46411
.46414
.46418
.46421
9.66865
.66868
.66872
.66875
.46628
.46632
.46636
.46639
28
27
26
25
+ 9'
37
38
39
9.66061
.66064
.66067
.66071
.45773
.45776
.45780
.45783
9.66266
.66270
.66273
.66277
.45990
.45994
.45997
.46001
9.66471
.66475
.66478
.66482
.46208
.46211
.46215
.46318
9.66675
.66679
.66682
.66685
.46425
.46429
.46432
.46436
9.66878
.66882
.66885
.66889
.46643
.46646
.46650
.46654
24
23
22
21
+ w
41
42
43
9.66074
.66078
.66081
.66085
.45787
.45791
.45794
.45798
9.66280
.66284
.66287
.66290
.46005
.46008
.46012
.46015
9.66485
.66488
.66492
.66495
.46332
.46226
.46339
.46333
9.66689
.66692
.66696
.66699
.46440
.46443
.46447
.46451
9.66892
.66895
.66899
.66902
.46657
.46661
.46665
.46668
20
19
18
17
+ 11'
45
46
47
9.66088
.66092
.66095
.66098
.45802
.45805
.45809
.45812
9.66294
.60297
.66301
.66304
.46019
.46023
.46026
.46030
9.66499
.66502
.66505
.66509
.46337
.46340
.46344
.46347
9.66702
.66706
.66709
.66713
.46454
.46458
.46461
.46465
9.66905
.66909
.66912
.66916
.46672
.46675
.46679
.46683
16
15
14
13
+ 13'
49
50
51
9.66102
.66105
.66109
.66112
.45816
.45820
.45823
.45827
9.66307
.66311
.66314
.66318
.46034
.46037
.46041
.46044
9.66512
.66516
.66519
.66522
.46351
.46355
.46358
.46363
9.66716
.66719
.66723
.66726
.46469
.46472
.46476
.46480
9.66919
.66922
.66926
.66929
.46686
.46690
.46694
.46697
12
11
10
9
+ 13'
53
54
55
9.66116
.66119
.66122
.66126
.45831
.45834
.45838
.45841
9.66321
.66325
.66328
.66331
.46048
.46053
.46055
.46059
9.66526
.66529
.66533
.66536
.46366
.46369
.46373
.46376
9.66730
.66733
.06736
.66740
.46483
.46487
.46490
.46494
9.66932
.66936
.66939
.66943
.46701
.46704
.46708
.46712
8
7
6
5
+ 14'
57
58
59
9.66129
.66133
.66136
.66140
.45845
.45849
.45852
.45856
9.66335
.66338
.66342
.66345
.46063
.46066
.46070
.46073
9.66539
.66543
.66546
.66550
.46380
.46284
.46287
.46291
9.66743
.66747
.66750
.66753
.46498
.46501
.46505
.46509
9.66946
.66949
.66953
.66956
.46715
.46719
.46723
.46726
4
S
2
1
+ 15'
9.66143
.45860
9.66348
.46077
9.66553
.46295
9.66757
.46512
9.66959
.46730
ISh igm
ISn 18m
ISh 17m
IShiem
18^ 15m
TABLE IV.
Haversinea.
[Page 113
s
5fc^TO
86° 15'
5h 46^ 86° 30'
5h47m
86° 45'
5ft 45TO
87° 0'
5ft 49TO
87° 15'
3
60
59
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.66959
.66963
.66966
.66970
.46730
.46733
.46737
.46741
9.67161
.67165
.67168
.67]71
.46948
.46951
.46955
.46958
9.67362
.67366
.67369
.67372
.47165
.47169
.47173
.47176
9.67562
.67566
.67569
.67572
.47383
.47387
.47390
.47394
9.67762
.67765
.67768
.67772
.47601
.47605
.47608
.47613
+ r
5
6
7
9.66973
.66976
.66980
.66983
.46744
.46748
.46753
.46755
9.67175
.67178
.67181
.67185
.46963
.46966
.46969
.46973
9.67376
.67379
.67382
.67386
.47180
.47184
.47187
.47191
9.67576
.67579
.67582
.67586
.47398
.47401
.47405
.47409
9.67775
.67778
.67782
.67785
.47616
.47619
.47633
.47637
56
55
54
53
+ 2'
9
10
11
9.66986
.66990
.66993
.66997
.46759
.46763
.46766
.46770
9.67188
.67192
.67195
.67198
.46977
.46980
.46984
.46987
9.67389
.67392
.67396
.67399
.47194
.47198
.47303
.47305
9.67589
.67592
.67596
.67599
.47413
.47416
.47430
.47433
9.67788
.67792
.67795
.67798
.47630
.47634
.47637
.47641
52
51
50
49
+ 3'
13
14
15
9.67000
.67003
.67007
.67010
.46773
.46777
.46781
.46784
9.67202
.67205
.67208
.67212
.46991
.46995
.46998
.47003
9.67402
.67406
.67409
.67412
.47309
.47313
.47316
.47330
9.67602
.67606
.67609
.67612
.47437
.47430
.47434
.47438
9.67801
.67805
.67808
.67811
.47645
.47648
.47653
.47656
48
47
46
45
U
43
42
41
+ 4'
n
18
19
9.67013
.67017
.67020
.67023
.46788
.46793
.46795
.46799
9.67215
.67218
.67222
.67225
.47006
.47009
.47013
.47017
9.67416
.67419
.67422
.67426
.47333
.47327
.47231
.47234
9.67616
.67619
.67622
.67626
.47441
.47445
.47449
.47453
9.67815
.67818
.67821
.67825
.47659
.47663
.47666
.47670
+ 5'
21
22
23
9.67027
.67030
.67034
.67037
.46803
.46806
.46810
.46813
9.67228
.67232
.67235
.67238
.47030
.47034
.47037
.47031
9.67429
.67432
.67436
.67439
.47338
.47343
.47345
.47349
9.67629
.67632
.67636
.67639
.47456
.47459
.47483
.47467
9.67828
.67831
.67835
.67838
.47674
.47677
.47681
.47685
40
39
38
37
+ 6'
25
26
27
9.67040
.67044
.67047
.67050
.46817
.46831
.46834
.46838
9.67242
.67245
.67249
.67252
.47035
.47038
.47043
.47046
9.67443
.67446
.67449
.67452
.47353
.47256
.47260
.47263
9.67642
.67646
.67649
.67652
.47470
.47474
.47478
.47481
9.67841
.67844
.67848
.67851
.47688
.47693
.47696
.47699
36
35
34
33
+ r
29
30
31
9.67054
.67057
.67060
.67064
.46831
.46835
.46839
.46843
9.67255
.67259
.67262
.67265
.47049
.47053
.47056
.47060
9.67456
.67459
.67462
.67466
.47367
.47371
.47274
.47278
9.67656
.67659
.67662
.67666
.47485
.47489
.47493
.47496
9.67854
.67858
.67861
.67864
.47703
.47706
.47710
.47714
32
31
30
29
28
27
26
25
+ 8'
S3
34
35
9.67067
.67071
.67074
.67077
.46846
.46850
.46853
.46857
9.67269
.67272
.67275
.67279
.47064
.47067
.47071
.47075
9.67469
.67472
.67476
.67479
.47283
.47285
.47289
.47292
9.67669
.67672
.67675
.67679
.47499
.47503
.47507
.47510
9.67868
.67871
.67874
.67878
.47717
.47731
.47725
.47728
+ 9^
37
38
39
9.67081
.67084
.67087
.67091
.46860
.46864
.46868
.46871
9.67282
.67285
.67289
.67292
.47078
.47083
.47086
.47089
9.67483
.67486
.67489
.67493
.47296
.47300
.47303
.47307
9.67682
.67685
.67689
.67692
.47514
.47518
.47531
.47525
9.67881
.67884
.67887
.67891
.47733
.47735
.47739
.47743
24
23
22
21
+ W
41
42
43
9.67094
.67097
.67101
.67104
.46875
.46879
.46883
.46886
9.67295
.67299
.67302
.67305
.47093
.47096
.47100
.47104
9.67496
.67499
.67503
.67506
.47311
.47314
.47318
.47321
9.67695
.67699
.67702
.67705
.47528
.47533
.47536
.47539
9.67894
.67897
.67901
.67904
.47746
.47750
.47754
.47757
20
19
18
17
+ 11'
45
46
47
9.67108
.67111
.67114
.67118
.46890
.46893
.46897
.46900
9.67309
.67312
.67315
.67319
.47107
.47111
.47115
.47118
9.67509
.67512
.67516
.67519
.47325
.47329
.47332
.47336
9.67709
.67712
.67715
.67719
.47543
.47547
.47550
.47554
9.67907
.67911
.67914
.67917
.47761
.47765
.47768
.47773
16
15
14
13
+ 13'
49
50
51
9.67121
.67124
.67128
.67131
.46904
.46908
.46911
.46915
9.67322
.67326
.67329
.67332
.47133
.47125
.47139
.47133
9.67522
.67526
.67529
.67532
.47340
.47343
.47347
.47351
9.67722
.67725
.67729
.67732
.47558
.47561
.47565
.47568
9.67920
.67924
.67927
.67930
.47775
.47779
.47783
.47786
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.67134
.67138
.67141
.67145
.46919
.46933
.46936
.46929
9.67336
.67339
.67342
.67346
,47136
.47140
.47144
.47147
9.67536
.67539
.67542
.67546
.47354
.47358
.47361
.47365
9.67735
.67738
.67742
.67745
.47573
.47576
.47579
.47583
9.67934
.67937
.67940
.67944
.47790
.47794
.47797
.47801
+ 14'
57
58
59
9.67148
.67151
.67155
.67158
.46933
.46937
.46940
.46944
9.67349
.67352
.67356
.67359
.47151
.47155
.47158
.47163
9.67549
.67552
.67556
.67559
.47369
.47373
.47376
.47380
9.67748
.67752
.67755
.67758
.47587
.47590
.47594
.47597
9.67947
.67950
.67953
.67957
.47805
.47808
.47813
,47815
4
3
2
1
+ 15'
9.67161
.46948
9.67362
.47165
9.67562
.47383
9.67762
.47601
9.67960
.47819
jtSh i^»i
18h 13m
ISfe 12m
ISh lira
IShlOra
55901°— IS-
Page 114] TABLE IV.
Haversines.
s
5ft 50^ 87° W
5h 5im 87° 45'
5A 52^ 88° 0'
5A 53m 88° 15'
5h 54'^ 88° 30'
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
E
1
2
3
9.67960
.67963
.67967
.67970
.47819
.47833
.47826
.47830
9.68158
.68161
.68164
.68167
.48037
.48041
.48044
.48048
9.68354
.68358
.68361
.68364
.48255
.48259
.48262
.48266
9.68550
.68553
.68557
.68560
.48473
.48477
.48480
.48484
9.68745
.68748
.68751
.68755
.48691
.48695
.48698
.48702
60
59
58
57
+ r
5
6
7
9.67973
.67977
.67980
.67983
.47834
.47837
.47841
.47844
9.68171
.68174
.68177
.68181
.48052
.48055
.48059
.48062
9.68367
.68371
.68374
.68377
.48269
.48273
.48277
.48280
9.68563
.68566
.68570
.68573
.48488
.48491
.48495
.48499
9.68758
.68761
.68764
.68768
.48706
.48709
.48713
.48717
56
55
54
53
+ 2^
9
10
11
9.67986
.67990
.67993
.67996
.47848
.47852
.47855
.47859
9.68184
.68187
.68190
.68194
.48066
.48070
.48073
.48077
9.68380
.68384
.68387
.68390
.48284
.48288
.48291
.48295
9.68576
.68579
.68583
.68586
.48502
.48506
.48509
.48513
9.68771
.68774
.68777
.68781
.48720
.48724
.48728
.48731
52
51
50
49
+ 3'
13
14
15
9.68000
.68003
.68006
.68010
.47863
.47866
.47870
.47874
9.68197
.68200
.68204
.68207
.48081
.48084
.48088
.48092
9.68393
.68397
.68400
.68403
.48299
.48302
.48306
.48310
9.68589
.68592
.68596
.68599
.48517
.48520
.48534
.48538
9.68784
.68787
.68790
.68794
.48735
.48738
.48742
.48746
48
47
46
45
+ 4'
17
18
19
9.68013
.68016
.68019
.68023
.47877
.47881
.47884
.47888
9.68210
.68213
.68217
.68220
.48095
.48099
.48102
.48106
9.68407
.68410
.68413
.68416
.48313
.48317
.48320
.48324
9.68602
.68605
.68609
.68612
.48531
.48535
.48538
.48543
9.68797
.68800
.68803
.68806
.48749
.48753
.48757
.48760
44
43
42
41
+ 5'
21
22
23
9.68026
.68029
.68033
.68036
.47892
.47895
.47899
.47903
9.68223
.68227
.68230
.68233
.48110
.48113
.48117
.48121
9.68420
.68423
.68426
.68429
.48338
.48331
.48335
.48339
9.68615
.68618
.68622
.68625
.48546
.48549
.48553
.48557
9.68810
.68813
.68816
.68320
.48764
.48767
.48771
.48775
40
39
38
37
+ 6'
25
26
27
9.68039
.68042
.68046
.68049
.47906
.47910
.47913
.47917
9.68236
.68240
.68243
.68246
.48124
.48128
.48131
.48135
9.68433
.68436
.68439
.68442
.48342
.48346
.48350
.48353
9.68628
.68631
.68635
.68638
.48560
.48564
.48568
.48571
9.68823
.68826
.68829
.68832
.48778
.48782
.48786
.48789
36
35
34
33
+ r
29
30
31
9.68052
.68056
.68059
.68062
.47921
.47924
.47928
.47932
9.68249
.68253
.68256
.68259
.48139
.48142
.48146
.48150
9.68446
.68449
.68452
.68456
.48357
.48360
.48364
.48368
9.68641
.68644
.68648
.68651
.48575
.48578
.48582
.48586
9.68836
.68839
.68842
.68845
.48793
.48797
.48800
.48804
32
31
30
-29
+ 8'
33
34
35
9.68066
.68069
.68072
.68075
.47935
.47939
.47943
.47946
9.68263
.68266
.68269
.68272
.48153
.48157
.48161
.48164
9.68459
.68462
.68465
.68469
.48371
.48375
.48379
.48382
9.68654
.68657
.68661
.68664
.48589
.48593
.48597
.48600
9.68849
.68852
.68855
.68858
.48807
.48811
.48815
.48818
28
27
26
25
+ 9'
37
38
39
9.68079
.68082
.68085
.68089
.47950
.47953
.47957
.47961
9.68276
.68279
.68282
.68286
.48168
.48171
.48175
.48179
9.68472
.68475
.68478
.68482
.48386
.48389
.48393
.48397
9.68667
.68670
.68674
.68677
.48604
.48608
.48611
.48615
9.68862
.68865
.68868
.68871
.48822
.48826
.48839
.48833
24
23 \
22
21
+ W
41
42
43
9.68092
.68095
.68098
.68102
.47964
.47968
.47972
.47975
9.68289
.68292
.68295
.68299
.48182
.48186
.48190
.48193
9.68485
.68488
.68491
.68495
.48400
.48404
.48408
.48411
9.68680
.68683
.68687
.68690
.48618
.48622
.48626
.48629
9.68875
.68878
.68881
.68884
.48837
.48840
.48844
.48847
20
19
18
17
+ ir
45
46
47
9.68105
.68108
.68112
.68115
.47979
.47983
.47986
.47990
9.68302
.68305
.68308
.68312
.48197
.48201
.48204
.48208
9.68498
.68501
.68504
.68508
.48415
.48419
.48422
.48426
9.68693
.68696
.68700
.68703
.48633
.48637
.48640
.48644
9.68887
.68891
.68894
.68897
.48851
.48855
.48858
.48863
16
15
14
13
+ n'
49
50
51
9.68118
.68121
.68125
.68128
.47993
.47997
.48001
.48004
9.68315
.68318
.68322
.68325
.48311
.48215
.48219
.48222
9.68511
.68514
.68517
.68521
.48439
.48433
.48437
.48440
9.68706
.68709
.68713
.68716
.48648
.48651
.48655
.48658
9.68900
.68904
.68907
.68910
.48866
.48869
.48873
.48877
12
11
10
9
+ 13'
53
54
55
9.68131
.68135
.68138
.68141
.48008
.48012
.48015
.48019
9.68328
.68331
.68335
.68338
.48336
.48230
.48233
.48237
9.68524
.68527
.68531
.68534
.48444
.48448
.48451
.48455
9.68719
.68722
.68726
.68729
.48663
.48666
.48669
.48673
9.68913
.68917
.68920
.68923
.48880
.48884
.48887
.48891
8
7
6
5
+ W
57
58
59
9.68144
.68148
.68151
.68154
.48022
.48026
.48030
.48033
9.68341
.68344
.68348
.68351
.48241
.48244
.48248
.48251
9.68537
.68540
.68544
.68547
.48459
.48462
.48466
.48469
9.68732
.68735
.68739
.68742
.48677
.48680
.48684
.46688
9.68926
.68929
.68933
.68936
.48895
.48898
.48903
.48906
4
3
2 '
+ 16'
9.68158
.48037
9.68354
.48255
9.68550
.48473
9.68745 .48691
9.68939
.48909
—
Ign 9m 1
IShgm 1
ISh 7m 1
IShem
ISJi 5m 1
TABLE IV. [Page 116
Haversines.
s
5^ 55m 88° 45^
5h 56m 89° 0^
5^ 57m 89° 15'
5h 58m 89° 30^
5h 59m 89° 45'
s
60
59
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
9.68939
.68942
.68946
.68949
.48909
.48913
.48917
.48920
9.69132
.69136
.69139
.69142
.49127
.49131
.49135
.49138
9.69325
.69328
.69331
.69334
.49346
.49349
.49353
.49356
9.69516
.69520
.69523
.69526
.49564
.49567
.49671
.49575
9.69707
.69710
.69713
.69717
.49782
.49785
.49789
.49793
+ r
5
6
7
9.68952
.68955
.68958
.68962
.48924
.48927
.48931
.48935
9.69145
.69148
.69152
.69155
.49143
.49146
.49149
.49153
9.69338
.69341
.69344
.69347
.49360
.49364
.49367
.49371
9.69529
.69532
.69535
.69539
.49578
.49583
.49585
.49589
9.69720
.69723
.69726
,69729
.49796
.49800
.49804
.49807
56
55
54
53
+ 2^
9
10
11
9.68965
.68968
.68971
.68975
.48938
.48943
.48946
.48949
9.69158
.69161
.69164
.69168
.49156
.49160
.49164
.49167
9.69350
.69354
.69357
.69360
.49375
.49378
.49383
.49386
9.69542
.69545
.69548
.69551
.49593
.49596
.49600
.49604
9.69732
.69736
.69739
.69742
.49811
.49815
.49818
.49833
52
51
50
49
+ 3^
IS
14
15
9.68978
.68981
.68984
.68988
.48953
.48957
.48960
.48964
9.69171
.69174
.69177
.69181
.49171
.49175
.49178
.49183
9.69363
.69366
.69370
.69373
.49389
.49393
.49396
.49400
9.69555
.69558
.69561
.69564
.49607
.49611
.49615
.49618
9.69745
.69748
.69751
.69755
.49835
.49839
.49833
.49836
48
47
46
45
44
43
42
41
40
39
38
37
-r 4'
17
IS
19
9.68991
.68994
.68997
.69000
.48967
.48971
.48975
.48978
9.69184
.69187
.69190
.69193
.49188
.49189
.49193
.49196
9.69376
.69379
.69382
.69386
.49404
.49407
.49411
.49415
9.69567
.69570
.69574
.69577
.49633
.49635
.49639
.49633
9.69758
.69761
.69764
.69767
.49840
.49844
.49847
.49851
+ 5^
21
22
23
9.69004
.69007
.69010
.69013
.48983
.48986
.48989
.48993
9.69197
.69200
.69203
.69206
.49300
.49204
.49307
.49311
9.69389
.69392
.69395
.69398
.49418
.49433
.49436
.49439
9.69580
.69583
.69586
.69590
.49636
.49640
.49644
.49647
9.69770
.69774
.69777
.69780
.49855
.49858
.49863
.49865
+ 6^
25
26
27
9.69017
.69020
.69023
.69026
.48997
.49000
.49004
.49007
9.69209
.69213
.69216
.69219
.49315
.49318
.49323
.49336
9.69402
.69405
.69408
.69411
.49433
.49436
.49440
.49444
9.69593
.69596
.69599
.69602
.49651
.49655
.49658
.49662
9.69783
.69786
.69789
.69793
.49869
.49873
.49876
.49880
36
35
34
33
+ r
29
30
31
9.69029
.69033
.69036
.69039
.49011
.49015
.49018
.49023
9.69222
.69225
.69229
.69232
.49339
.49333
.49336
.49340
9.69414
.69417
.69421
.69424
.49447
.49451
.49455
.49458
9.69605
.69609
.69612
.69615
.49665
.49669
.49673
.49676
9.69796
.69799
.69802
.69805
.49884
.49887
.49891
.49895
32
31
30
29
+ 8^
33
34
35
9.69042
.69046
.69049
.69052
.49026
.49039
.49033
.49036
9.69235
.69238
.69242
.69245
.49344
.49347
.49351
.49355
9.69427
.69430
.69433
.69437
.49463
.49465
.49469
.49473
9.69618
.69621
.69625
.69628
.49680
.49684
.49687
.49691
9.69808
.69812
.69815
.69818
.49898
.49903
.49905
.49909
28
27
26
25
+ ^
37
38
39
9.69055
.69058
.69062
.69065
.49040
.49044
.49047
.49051
9.69248
.69251
.69254
.69258
.49358
.49363
.49366
.49369
9.69440
.69443
.69446
.69449
.49476
.49480
.49484
.49487
9.69631
.69634
.69637
.69640
.49695
.49698
.49703
.49705
9.69821
.69824
.69827
.69831
.49913
.49916
.49930
.48934
24
23
22
21
+ W
41
42
43
9.69068
.69071
.69074
.69078
.49055
.49058
.49062
.49066
9.69261
.69264
.69267
.69270
.49373
.49376
.49380
.49384
9.69453
.69456
.69459
.69462
.49491
.49495
.49498
.49503
9.69644
.69647
.69650
.69653
.49709
.49713
.49716
.49730
9.69834
.69837
.69840
.69843
.49937
.49931
.49935
.49938
20
19
18
17
+ 11^
45
46
47
9.69081
.69084
.69087
.69091
.49069
.49073
.49076
.49080
9.69274
.69277
.69280
.69283
.49387
.49391
.49395
.49398
9.69465
.69469
.69472
.69475
.49506
.49509
.49513
.49516
9.69656
.69659
.69663
.69666
.49734
.49737
.49731
.49735
9.69846
.69850
.69853
.69856
.49943
.49945
.49949
.49953
16
15
14
13
+ 12'
49
50
51
9.69094
.69097
.69100
.69103
.49084
.49087
.49091
.49095
9.69286
.69290
.69293
.69296
.49303
.49306
.49309
.49313
9.69478
.69481
.69484
.69488
.49530
.49534
.49537
.49531
9.69669 1 .49738
.69672 .49743
.69675 .49745
.69678 .49749
9.69859
.69862
.69865
.69869
.49956
.49960
.49964
.49967
12
11
10
9
+ 13^
53
54
55
9.69107
.69110
.69113
.69116
.49098
.49103
.49106
.49109
9.69299
.69302
.69306
.69309
.43316
.49320
.49334
.49337
9.69491
.69494
.69497
.69500
.49535
.49538
.49543
.49545
9.69682
.69685
.69688
.69691
.49753
.49756
.49760
.49764
9.69872
.69875
.69878
.69881
.49971
.49975
.49978
.49983
8
7
6
5
+ W
57
58
59
9.69120
.69123
.69126
.69129
.49113
.49116
.49120
.49134
9.69312
.69315
.69318
.69322
.49331
.49335
.49338
.49343
9.69504
.69507
.69510
.69513
.49549
.49553
.49556
.49560
9.69694
.69698
.69701
.69704
.49767
.49771
.49775
.49778
9.69884
.69888
.69891
.69894
.49985
.49989
.49993
.49997
4
3
2
'1
+ ijy
9.69132
.49127
9.69325
.49346
9.69516
.49564
9.69707
.49783
9.69897
.50000
Igh^m
28h 3m
18h 2m
IShim
IShQm
Page 116]
tablp: iv.
Havereinea.
s
6ft Om 90° (K 1
6ft im 90° 15'
6ft 2^ 90° ar 1 6ft Sm 90° 45^
6ft 4^ 91° C 1
8
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav. Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.69897
.69900
.69903
.69906
^0000
o50004
.50007
.50011
9.70086
.70089
.70092
.70096
.50218
.50222
.50225
.50229
9.70274
.70277
.70281
.70284
.50436
.50440
.50444
.50447
9.70462
.70465
.70468
.70471
.50654
.50658
.50662
.50665
9.70648
.70652
.70655
.70658
.50873
.50876
.50880
.50884
60
59
58
57
+ r
5
6
7
9.69910
.69913
.69916
.69919
.50015
.50018
.50032
.50025
9.70099
.70102
.70105
.70108
.50233
.50236
.50240
.50244
9.70287
.70290
.70293
.70296
.50451
.50455
.50458
.50462
9.70474
.70477
.70480
.70484
.50669
.50673
.50676
.50680
9.70661
.70664
.70667
.70670
.50887
.50891
.50894
.50898
66
55
54
53
+ 2'
9
10
11
9.69922
.69925
.69929
.69932
.50029
.50033
.50036
.50010
9.70111
.70114
.70118
.70121
.50247
.50251
.50255
.50258
9.70299
.70303
.70306
.70309
.50465
.50469
.50473
.50476
9.70487
.70490
.70493
.70496
.50684
.50687
.50691
.50694
9.70673
.70676
.70679
.70683
.50902
.50905
.50909
.50913
52
51
50
49
+ 3'
13
u
15
9.69935
.69938
.69941
.69944
.50044
.50047
.50051
.50055
9.70124
.70127
.70130
.70133
.50262
.50265
.50269
.50273
9.70312
.70315
.70318
.70321
.50480
.50484
.50487
.50491
9.70499
.70502
.70505
.70509
.50698
.50702
.50705
.50709
9.70686
.70689
.70692
.70695
.50916
.50920
.50924
.50927
48
47
46
45
+ 4^
17
18
19
9.69948
.69951
.69954
.69957
.50058
.50062
.50065
.50069
9.70136
.70140
.70143
.70146
.50276
.50280
.50284
.50287
9.70324
.70328
.70331
.70334
.50495
.50498
.50502
.50505
9.70512
.70515
.70518
.70521
.50713
.50716
.50720
.50734
9.70698
.70701
.70704
.70707
.50931
.50934
.50938
.50942
44
43
42
41
+ 5^
21
22
23
9.69960
.69963
.69966
.69970
.50073
.50076
.50080
.50084
9.70149
.70152
.70155
.70158
.50291
.50295
.50298
.50302
9.70337
.70340
.70343
.70346
.50509
.50513
.50516
.50520
9.70524
.70527
.70530
.70533
.50737
,50731
.50734
.50738
9.70710
.70714
.70717
.70720
.50945
.50949
.50953
.50956
40
39
38
37
+ ^
85
26
27
9.69973
.69976
.69979
.69982
.50087
.50091
.50095
.50098
9.70161
.70165
.70168
.70171
.50305
.50309
.50313
.50316
9.70349
.70353
.70356
.70359
.50524
.50527
.50531
.50534
9.70537
.70540
.70543
.70546
.50743
.50745
.50749
.50753
9.70723
.70726
.70729
.70732
.50960
.50964
.50967
.50971
36
35
34
33
32
31
30
29
+ r
29
30
31
9.69985
.69988
.69992
.69995
.50102
.50105
.50109
.50113
9.70174
.70177
.70180
.70183
.50320
.50324
.50327
.50331
9.70362
.70365
.70368
.70371
.50538
.50542
.50545
.50549
9.70549
.70552
.70555
.70558
.50756
.50760
.50764
.50767
9.70735
.70738
.70741
.70745
.50974
.50978
.50982
.50985
+ 8'
33
34
35
9.69998
.70001
.70004
.70007
.50116
.50120
.50124
.50127
9.70187
.70190
.70193
.70196
.50335
.50338
.50342
.50345
9.70374
.70378
.70381
.70384
.50553
.50556
.50560
.50564
9.70561
.70565
.70568
.70571
.50771
.50774
.50778
.50783
9.70748
.70751
.70754
.70757
.50989
.50993
.50996
.51000
28
27
26
25
24
23
22
21
20
19
18
17
+ 9^
57
38
39
9.70011
.70014
.70017
.70020
.50131
.50135
.50138
.50142
9.70199
.70202
.70205
.70209
.50349
.50353
.50356
.50360
9.70387
.70390
.70393
.70396
.50567
.50571
.50574
.50578
9.70574
.70577
.70580
.70583
.50785
.50789
.50793
.50796
9.70760
.70763
.70766
.70769
.51004
.51007
.51011
.51014
+ W
41
42
43
9.70023
.70026
.70029
.70033
.50145
.50149
.50153
.50156
9.70212
.70215
.70218
.70221
.50364
.50367
.50371
.50375
9.70399
.70402
.70406
.70409
.50582
.50585
.50589
.50593
9.70586
.70589
.70593
.70596
.50800
.50804
.50807
.50811
9.70772
.70775
.70779
.70782
.51018
.51022
.51025
.51029
+ 11^
45
46
47
9.70036
.70039
.70042
.70045
.50160
.50164
.50167
.50171
9.70224
.70227
.70230
.70234
.50378
.50382
.50385
.50389
9.70412
.70415
.70418
.70421
.50596
.50600
.50604
.50607
9.70599
.70602
.70605
.70608
.50814
.50818
.50833
.50835
9.70785
.70788
.70791
.70794
.51033
.51036
.51040
.51043
16
15
14
13
+ n'
49
50
51
9.70048
.70051
.70055
.70058
.50175
.50178
.50182
.50185
9.70237
.70240
.70243
.70246
.50393
.50396
.50400
.50404
9.70424
.70427
.70431
.70434
.50611
.50614
.50618
.50632
9.70611
.70614
.70617
.70620
.50829
.50833
.50836
.50840
9.70797
.70800
.70803
.70806
.51047
.51051
.51054
.51058
12
11
10
9
+ 13^
53
54
55
9.70061
.70064
.70067
.70070
.50189
.50193
.50196
.50200
9.70249
.70252
.70256
.70259
.50407
.50411
.50415
.50418
9.70437
.70440
.70443
.70446
.50625
.50629
.50633
.50636
9.70624
.70627
.70630
.70633
.50844
.50847
.50851
.50854
9.70809
.70813
.70816
.70819
.51062
.51065
.51069
.51073
8
7
6
5
+ 14'
57
58
59
9.70074
.70077
.70080
.70083
.50204
.50207
.50211
.50215
9.70262
.70265
.70268
.70271
.50422
.50425
.50429
.50433
9.70449
.70452
.70456
.70459
.50640
.50644
.50647
.50651
9.70636
.70639
.70642
.70645
.50858
.50862
.50865
.50869
9.70822
.70825
.70828
.70831
.51076
.51080
.51083
.51087
4
3
2
1
+ 15'
9.70086
.50218
9.70274
.50436
9.70462
.50654
9.70648
.50873
9.70834
.51091
i7h
69m
i7A 58m
i7ft
57m
i7ft 56m
i7ft 55m 1
TABLE IV.
Haversines.
[Page 117
s
6h 5m 91° W
6h 6m 91° 30^
eh 7TO 91° 45/
eh gm 92° 0^
eh 9m
J3° 15^
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.70834
.70837
.70840
.70843
.51091
.51094
.51098
.51103
9.71019
.71022
.71025
.71028
.51309
.51313
.51316
.51330
9.71203
.71206
.71210
.71213
.61537
.51531
.51534
.51538
9.71387
.71390
.71393
.71396
.51745
.51749
.51753
.51756
9.71569
.71572
.71575
.71579
.51963
.51967
.61970
.51974
60
59
58
57
+ r
5
6
7
9.70847
.70850
.70853
.70856
.51105
.51109
.51113
.51116
9.71032
.71035
.71038
.71041
.51323
.51327
.51331
.51334
9.71216
.71219
.71222
.71225
.51541
.51545
.51549
.61553
9.71399
.71402
.71405
.71408
.51760
.51763
.51767
.51770
9.71582
.71585
.71588
.71591
.51978
.51981
.51985
.51988
56
55
54
53
+ 2^
9
10
11
9.70859
.70862
.70865
.70868
.51120
.51133
.51137
.51131
9.71044
.71047
.71050
.71053
.51338
.51343
.51345
.51349
9.71228
.71231
.71234
.71237
.61556
.61660
.61663
.51667
9.71411
.71414
.71417
.71420
.51774
.51778
.51781
.51785
9.71594
.71597
.71600
.71603
.51992
.51996
.61999
.63003
52
51
50
49
+ 3-
13
14
15
9.70871
.70874
.70877
.70881
.51134
.51138
.51143
.51145
9.71056
.71059
.71062
.71065
.51353
.51356
.51360
.51363
9.71240
.71243
.71246
.71249
.61571
.51674
.51578
.51681
9.71423
.71426
.71430
.71433
.51789
.51793
.61796
.51799
9.71606
.71609
.71612
.71615
.63007
.63010
.52014
.52018
48
47
46
45
+ 4^
17
18
19
9.70884
.70887
.70890
.70893
.51149
.51153
.51156
.51160
9.71068
.71072
.71075
.71078
.51367
.51371
.51374
.51378
9.71252
.71255
.71259
.71262
.51585
.51589
.51593
.51596
9.71436
.71439
.71442
.71445
.51803
.61807
.51810
.61814
9.71618
.71621
.71624
.71627
.52021
.52025
.52028
.52032
44
43
42
41
40
39
38
37
+ 5'
21
22
23
9.70896
.70899
.70902
.70905
.51163
.51167
.51171
.51174
9.71081
.71084
.71087
.71090
.51383
.51385
.51389
.51392
9.71265
.71268
.71271
.71274
.51600
.61603
.51607
.51611
9.71448
.71451
.71454
.71457
.61818
.61831
.61836
.51839
9.71630
.71633
.71636
.71639
.63036
.53039
.53043
.53047
+ ^
25
26
27
9.70908
.70911
.70914
.70918
.51178
.51183
.51185
.51189
9.71093
.71096
.71099
.71102
.51396
.51400
.51403
.51407
9.71277
.71280
.71283
.71286
.61614
.61618
.61631
.51625
9.71460
.71463
.71466
.71469
.51833
.61836
.61839
.61843
9.71642
.71645
.71648
.71651
.63050
.53054
.53057
.63061
36
35
34
33
+ r
29
30
31
9.70921
.70924
.70927
.70930
.51193
.51198
.51300
.51303
9.71105
.71108
.71111
.71114
.51411
.51414
.51418
.51433
9.71289
.71292
.71295
.71298
.51629
.51633
.51636
.51640
9.71472
.71475
.71478
.71481
.51847
.51850
.51854
.51858
9.71654
.71657
.71660
.71663
.52065
.52068
.52072
.52076
32
31
30
29
+ 8^
33
34
35
9.70933
.70936
.70939
.70942
.51307
.51311
.51314
.51318
9.71118
.71121
.71124
.71127
.51425
.51429
.51432
.51436
9.71301
.71304
.71307
.71311
.61643
.51647
.51650
.51654
9.71484
.71487
.71490
.71493
.61861
.61866
.61869
.51873
9.71666
.71670
.71673
.71676
.62079
.62083
.52087
.52090
28
27
26
25
+ 9"
37
38
39
9.70945
.70948
.70951
.70955
.51333
.51335
.51339
.51333
9.71130
.71133
.71136
.71139
.51440
.51443
.51447
.51451
9.71314
.71317
.71320
.71323
.51658
.51661
.61665
.61669
9.71496
.71500
.71503
.71506
.61876
.51879
.51883
.51887
9.71679
.71682
.71685
.71688
.62094
.62097
.62101
.62105
24
23
22
21
+ ir
41
42
43
9.70958
.70961
.70964
.70967
.51336
.51340
.51243
.51247
9.71142
.71145
.71148
.71151
.51454
.51458
.51462
.51465
9.71326
.71329
.71332
.71335
.51673
.51676
.51680
.51683
9.71509
.71512
.71515
.71518
.61890
.61894
.51898
.51901
9.71691
.71694
.71697
.71700
.53108
.53113
.63116
.63119
20
19
18
17
+ 11^
45
46
47
9.70970
.70973
.70976
.70979
.51351
.51254
.51258
.51362
9.71154
.71157
.71161
.71164
.51469
.51472
.51476
.51480
9.71338
.71341
.71344
.71347
.61687
.61690
.51694
.51698
9.71521
.71524
.71527
.71530
.51905
.61908
.51913
.51916
9.71703
.71706
.71709
.71712
.53133
.52136
.53130
.53134
16
15
14
13
49
50
51
9.70982
.70985
.70988
.70992
.51365
.51369
.51373
.51376
9.71167
.71170
.71173
.71176
.51483
.51487
.51491
.51494
9.71350
.71353
.71356
.71359
.61701
.51705
.51709
.51713
9.71533
.71536
.71539
.71542
.51919
.51933
.51937
.51930
9.71715
:.71718
;. 71721
.71724
.53137
.63141
.63145
.53148
12
11
10
9
+ 13^
53
54
55
9.70995
.70998
.71001
.71004
.51280
.51383
.51287
.51291
9.71179
.71182
.71185
.71188
.51498
.51501
.51505
.51508
9.71362
.71365
.71369
.71372
.61716
.51730
.51723
.51737
9.71545
.71548
.71551
.71554
.51934
.51938
.51941
.51946
9.71727
.71730
.71733
.71736
.63153
.63166
.53159
.53163
8
' 7
6
5
+ W
57
58
59
9.71007
.71010
.71013
.71016
.51294
.51298
.51303
.51305
9.71191
.71194
.71197
.71200
.51513
.51516
.51530
.51533
9.71375
.71378
.71381
.71384
.51730
.51734
.61738
.51741
9.71557
.71560
.71563
.71566
.51948
.51953
.51956
.51959
9.71739
.71742
.71745
.71748
.53166
.53170
.53174
.53177
4
3
2
1
4- 1^
9.71019
.51309
9.71203
.61537
9.71387
.51745
9.71569
.61963
9.71751
.62181
17h
54m
17Ji 5Sm
17h 52m
17h sm
17h som 1
Page 118] TABLE IV.
Haversinea.
s
6ft lOm 92° sr
6h urn 93° 45/
6h 12m 930 0'
6h 13m 93° 15'
6ft W^ 93° 30'
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.71751
.71754
.71757
.71760
.52181
.52185
.53188
.52192
9.71932
.71935
.71938
.71941
.52399
.52403
.52406
.52410
9.72112
.72115
.72118
.72121
.52617
.52620
.52624
.52628
9.72292
.72295
.72298
.72301
.52835
.52838
.52842
.52846
9.72471
.72474
.72476
.72479
.53052
.53056
.53060
.53063
60
59
58
57
+ r
5
6
7
9.71763
.71766
.71769
.71772
.52196
.52199
.52203
.52206
9.71944
.71947
.71950
.71953
.52413
.52417
.52421
.52424
9.72124
.72127
.72130
.72133
.52631
.52635
.53639
.52643
9.72304
.72307
.72310
.72313
.53849
.53853
.52856
.52860
9.72482
.72485
.72488
.72491
.53067
.53071
,53074
.53078
56
55
54
53
+ r
9
10
11
9.71775
.71778
.71781
.71784
.62210
.52214
.52217
.52221
9.71956
.71959
.71962
.71965
.52428
.52433
.52435
.52439
9.72136
.72139
.72142
.72145
.52646
.52649
.52653
.52657
9.72316
.72319
.72322
.72325
.52864
.52867
.52871
.52875
9.72494
.72497
.72500
.72503
.53081
.53085
.53089
.53092
52
51
50
49
+ 3'
IS
14
15
9.71787
.71791
.71794
.71797
.52225
.52228
.52232
.52235
9.71968
.71971
.71974
.71977
.52443
.52446
.52450
.53453
9.72148
.72151
.72154
.72157
.52660
.52664
.53668
.53671
9.72328
.72331
.72334
.72337
.52878
.52882
.52885
.52889
9.72506
.72509
.72512
.72515
.53096
.53100
.53103
.53107
48
47
46
45
+ 4'
17
18
19
9.71800
.71803
.71806
.71809
.52239
.52243
.52246
.52250
9.71980
.71983
.71986
.71989
.52457
.52461
.52464
.52468
9.72160
.72163
.72166
.72169
.53675
.52679
.52682
.52688
9.72340
.72343
.72346
.72349
.52893
.53896
.53900
.53904
9.72518
.72521
.72524
.72527
.53110
.53114
.53118
.53121
44
43
42
41
+ 5'
21
22
23
9.71812
.71815
.71818
.71821
.52254
.52257
.52261
.52264
9 71992
.71995
.71998
.72001
.52472
.53475
.52479
.52482
9.72172
.72175
.72178
.72181
.52689
.52693
.52697
.52700
9.72352
.72354
.72357
.72360
.53907
.52911
.52915
.52918
9.72530
.72533
.72536
.72539
.53125
.53129
.53132
.53136
40
39
38
37
+ 6'
25
26
27
9.71824
.71827
.71830
.71833
.52268
.52272
.52275
.52279
9.72004
.72007
.72010
.72013
.52486
.52490
.52493
.52497
9.72184
.72187
.72190
.72193
.52704
.52708
.53711
.53715
9.72363
.72366
.72369
.72372
.52922
.52925
.52929
.52933
9.72542
.72545
.72548
.72551
.53140
.53143
.53147
.53150
36
35
34
33
+ r
29
30
31
9.71836
.71839
.71842
.71845
.52283
.52286
.52290
.52294
9.72016
.72019
.72022
.72025
.52501
.52504
.52508
.52511
9.72196
.72199
.72202
.72205
.52718
.52722
.52726
.53739
9.72375
.72378
.72381
.72384
.52936
.52940
.52944
.52947
9.72554
.72557
.72560
.72563
.53154
.53158
.53161
.53165
32
31
30
29
+ 8'
33
34
35
9.71848
.71851
.71854
.71857
.52297
.52301
.52304
.52308
9.72028
.72031
.72034
.72037
.52515
.52519
.52522
.52526
9.72208
.72211
.72214
.72217
.53733
.53737
.53740
.52744
9.72387
.72390
.72393
.72396
.52951
.52954
.52958
.53963
9.72565
.72568
.72571
.72574
.53169
.53172
.53176
.53179
28
27
26
25
24
23
22
21
+ ^
37
38 •
39
9.71860
.71863
.71866
.71869
.52312
.52315
.52319
.52323
9.72040
.72043
.72046
.72049
.52530
.52533
.52537
.52541
9.72220
.72223
.72226
.72229
.52748
.52751
.52755
.52758
9.72399
.72402
.72405
.72408
.53965
.53969
.53973
.53976
9.72577
.72580
.72583
.72586
.53183
.53187
.53190
.53194
+ W
41
42
45
9.71872
.71875
.71878
.71881
.52326
.52330
.52334
.52337
9.72052
.72055
.72058
.72061
.52544
.52548
.52551
.52555
9.72232
.72235
.72238
.72241
.53762
.52766
.52769
.52773
9.72411
.72414
.72417
.72420
.53980
.53983
.52987
.52991
9.72589
.72592
.72595
.72598
.53198
.53201
.53205
.53208
20
19
IS
17
+ IV
45
4S
47
9.71884
.71887
.71890
.71893
.52341
.52344
.52348
.52352
9.72064
.72067
.72070
.72073
.52559
.52562
.52566
.52570
9.72244
.72247
.72250
.72253
.52776
.52780
.53784
.53787
9.72423
.72426
.72429
.72432
.52994
.52998
.53002
.53005
9.72601
.72604
.72607
.72610
.53212
.53216
.53219
.53223
16
15
14
13
+ 12'
49
50
51
9.71896
.71899
.71902
.71905
.52355
.52359
.52363
.52366
9.72076
.72079
.72082
.72085
.52573
.52577
.53580
.53584
9.72256
.72259
.72262
.72265
.53791
.53795
.53798
.53802
9.72435
.72438
.72441
.72444
.53009
.53013
.53016
.53020
9.72613
.72616
.72619
.72622
.53227
.53230
.53234
.63238
12
11
10
9
+ 13'
53
54
55
9.71908
.71911
.71914
.71917
.52370
.52373
.52377
.52381
9.72088
.72091
.72094
.72097
.53588
.53591
.53595
.53599
9.722G8
,72271
.72274
.72277
.52806
.53809
.53813
.53816
9.72447
.72450
.72453
.72456
.53033
.53037
.53031
.53034
9.72625
.72628
.72631
.72634
.53241
.53245
.53248
.53262
8
7
6
5
+ 14'
57
58
59
9.71920
.71923
.71926
.71929
.52384
.52388
.52392
.52395
9.72100
.72103
.72106
.72119
.53603
.53606
.53610
.53613
9.72280
.72283
.72286
.72289
.52820
.52824
.52827
.52831
9.72459
.72462
.72465
.72468
.53038
.53042
.53045
.53049
9.72637
.72640
.72642
.72645
.55256
.53269
.63263
.63267
4
S
2
1
+ 15'
9.71932
.52399
9.72112
.52617
9.72292
.52835
9.72471
.53052
9.72648
.53370
17h49m
17^48^
IJh 47m
17h46m
17^ 45m
TABLE IV. [Page 119
Haversines.
s
6ft lo^n 93° 45'
eh 16m 94° (y
eh 17m 940 15/
eh ism 94° sr
eh 19m 94° 45
3
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav
1
2
3
9.72648
.72651
.72654
.72657
.53270
.53374
.53377
.53381
9.72825
.72828
.72831
.72834
.53488
.53491
.53495
.53499
9.73002
.73005
.73008
.73011
.53705
.53709
.53713
.53716
9.73177
.73180
.73183
.73186
.53923
.53927
.53930
.53934
9.73352
.73355
.73358
.73361
.54140
.54144
.54148
.54151
60
59
58
57
5
6
7
9.72660
.72663
.72666
.72669
.53385
.53388
.53393
.53396
9.72837
.72840
.72843
.72846
.53502
.53506
.53510
.53513
9.73014
.73016
.73019
.73022
.53730
.53724
.53727
.53731
9.73189
.73192
.73195
.73198
.53937
.53941
.53945
.53948
9.73364
.73367
.73370
.73373
.54155
.54159
.54163
.54166
56
55
54
53
1 + 3'
. 9
10
11
9.72672
.72675
.72678
.72681
.53399
.53303
.53306
.53310
9.72849
.72852
.72855
.72858
.53517
.53520
.53524
.53528
9.73025
.73028
.73031
.73034
.53734
.53738
.53742
.53745
9.73201
.73204
.73207
.73209
.53952
.53956
.53959
.53963
9.73375
.73378
.73381
.73384
.54169
.54173
.54177
.54180
52
51
50
49
+ 3'
13
14
15
9.72684
.72687
.72690
.72693
.53314
.53317
.53331
.53335
9.72861.
.72864
.72867
.72870
.53531
.53535
.53539
.53542
9.73037
.73040
.73043
.73046
.53749
.53753
.53756
.53760
9.73212
.73215
.73218
.73221
.53966
.53970
.53974
.53977
9.73387
.73390
.73393
.73396
.54184
.54188
.54191
.54195
48
47
46
45
44
43
42
41
+ r
17
18
19
9.72696
.72699
.72702
.72705
.53328
.53333
.53335
.53339
9.72873
.72876
.72878
.72881
.53546
.53549
.53553
.53557
9.73049,
.73052
.73055
.73057
.53763
.53767
.53771
.53774
9.73224
.73227
.73230
.73233
.53981
.53985
.53988
.53992
9.73399
.73402
.73404
.73407
.54198
.54202
.54306
.54209
+ 5'
21
22
23
9.72708
.72710
.72713
.72716
.53343
.53346
.53350
.53354
9.72884
.72887
.72890
.72893
.53560
.53564
.53568
.53571
9.73060
.73063
.73066
.73069
.53778
.53782
.53785
.53789
9.73236
.73239
.73242
.73244
.53995
.53999
.54003
.54006
9.73410
.73413
.73416
.73419
.54313
.54317
.54330
.54334
40
39
38
37
+ 6'
25
26
27
9.72719
.72722
.72725
.72728
.53357
.53361
.53364
.53368
9.72896
.72899
.72902
.72905
.53575
.53579
.53582
.53586
9.73072
.73075
.75078
.73081
.53792
.53796
.53800
.53803
9.73247
.73250
.73253
.73256
.54010
.54014
.54017
.54021
9.73422
.73425
.73428
.73431
.54337
.54331
.54335
.54338
36
35
34
33
32
31
30
29
+ r
29
30
31
9.72731
.72734
.72737
.72740
.53373
.53375
..53379
.53383
9.72«08
.72911
.72914
.72917
.53589
.53593
.53597
.53600
9.73084
.73087
.73090
.73093
.53807
.53811
.53814
.53818
9.73259
.73262
.73265
.73268
.54024
.54038
.54033
.54035
9.73433
.73436
.73439
.73442
.54242
.54245
.54249
.54253
+ 8'
33
34
35
9.72743
.72746
.72749
.72752
.53386
.53390
.53394
.53397
9.72920
.72923
.72926
.72928
.53604
.53608
.53611
.53615
9.73096
.73098
.73101
.73104
.53821
.53825
.53829
.53832
9.73271
.73274
.73277
.73280
.54039
.54043
.54046
.54050
9.73445
.73448
.73451
.73454
.54256
.54260
.54264
.54267
28
27
26
25
+ 9"
37
38
39
9.72755
.72758
.72761
.72764
.53401
.53404
.53408
.53413
9.72931
.72934
.72937
.72940
.53618
.53622
.53626
.53629
9.73107
.73110
.73113
.73116
.53836
.53840
.53843
.53847
9.73282
.73285
.73288
.73291
.54053
.54057
.54061
.54064
9.73457
.73460
.73462
.73465
.54271
.54274
.54378
.54282
24
23
22
21
41
42
43
9.72767
.72770
.72772
.72775
.53415
.53419
.53433
.53436
9.72943
.72946
.72949
.72952
.53633
.53637
.53640
.53644
9.73119
.73122
.73125
.73128
.53850
.53854
.53858
.53861
9.73294
.73297
.73300
.73303
.54068
.54072
.54075
.54079
9.73468
.73471
.73474
.73477
.54285
.54289
.54393
.54296
20
19
18
17
45
46
47
9.72778
.72781
.72784
.72787
.53430
.53433
.53437
.53441
9.72955
.72958
.72961
.72964
.53647
.53651
.53655
.53658
9.73131
.73134
.73136
.73139
.53865
.53869
.53872
.53876
9.73306
.73309
.73311
.73314
.54082
.54086
.54090
.54093
9.73480
.73483
.73486
.73489
.54300
.54303
.54307
.54311
16
15
14
13
+ 13'
49
50
51
9.72790
.72793
.72796
.72799
.53444
.53448
.53453
.53455
9.72967
.72970
.72972
.72975
.53663
.53666
.53669
.53673
9.73142
.73145
.73148
.73151
.53879
.53883
.53887
.53890
9.73317
.73320
.73323
.73326
.54097
.54101
.54104
.54108
9.73491
.73494
.73497
.73500
.54314
.54318
.54322
.54325
12
11
10
9
+ 13'
53
54
55
9.72802
.72805
.72808
.72811
.53459
.53463
.53466
.53470
9.72978
.72981
.72984
.72987
.53676
.53680
.53684
.53687
9.73154
.73157
.73160
.73163
.53894
.53898
.53901
.53905
9.73329
.73332
.73335
.73338
.54111
.54115
.54119
.54122
9.73503
.73506
.73509
.73512
.54329
.54332
.54336
.54340
8
7
6
5
+ 14'
57
58
59
9.72814
.72817
.72820
.72823
.53473
.53477
.53481
.53484
9.72990
.72993
.72996
.72999
.53691
.53695
.53698
.53703
.53705
9.73166
.73169
.73172
.73174
.53908
.53912
.53916
.53919
9.73341
.73343
.73346
.73349
.54126
.54130
.54133
.54137
9.73515
.73517
.73520
.73523
.54343
.54347
.54351
.54354
4
3
2
1
+ 15'
9.72825
.53488
9.73002
9.73177
.53923
9.73352
.54140
9.73526
.54358
17^ 44'^ 1
17h 43m 1
17h 42m 1
17h 41m
17h 40m 1
Page 120]
TABLE IV.
Haversines.
s
Qh 20m
95° 0'
6h 21m 95° 15'
Qh 22""<'
95° 30'
6h 23m 95° 45'
gh 24^
96° r
s
60
59
58
57
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.73526
.73529
.73532
.73535
.54358
.54361
.543G5
.54369
9.73699
.73702
.73705
.73708
.54575
.54579
.54583
.54586
9.73872
.73875
.73878
.73881
.54793
.54796
.54800
.54803
9.74044
.74047
.74049
.74052
.55009
.55013
.55017
.55030
9.74215
.74218
.74220
.74223
.55226
.55330
.55334
.56337
+ r
5
6
7
9.73538
.73541
.73544
.73546
.54373
.54376
.54380
.54383
9.73711
.73714
.73717
.73720
.54590
.54593
.54597
.54600
9.73883
.73886
.73889
.73892
.54807
.54810
.54814
.54818
9.74055
.74058
.74061
.74064
.55024
.55038
.55031
.55035
9.74226
.74229
.74232
.74235
.55241
.55245
.55248
.65252
56
55
54
53
+ a'
9
10
11
9.73549
.73552
.73555
.73558
.54387
.54390
.54394
.54398
9.73722
.73725
.73728
.73731
.54604
.54608
.54611
.54615
9.73895
.73898
.73901
.73903
.54821
.54825
.54828
.54832
9.74067
.74069
.74072
.74075
.55038
.55043
.55046
.55049
9.74237
.74240
.74243
.74246
.55255
.55259
.55263
.55266
52
51
50
49
+ 3'
13
14
15
9.73561
.73564
.73567
.73570
.54401
.54405
.54409
.54412
9.73734
.73737
.73740
.73743
.54619
.54633
.54636
.54639
9.73906
.73909
.73912
.73915
.54836
.54839
.54843
.54847
9.74078
.74081
.74084
.74087
.55053
.55056
.55060
.55064
9.74249
.74252
.74254
.74257
.66270
.65273
.55377
.55381
48
47
46
45
+ 4'
17
18
19
9.73572
.73575
.73578
.73581
.54416
.54419
.54433
.54437
9.73746
.73748
.73751
.73754
.54633
.54637
.54640
.54644
9.73918
.73921
.73924
.73926
.54850
.54854
.54857
.54861
9.74089
.74092
.74095
.74098
.55067
.55071
.55075
.55078
9.74260
.74263
.74266
.74269
.55384
.55388
.65393
.65295
44
43
42
41
+ 5^
21
22
23
9.73584
.73587
.73590
.73593
.54430
.54434
.54437
.54441
9.73757
.73760
.73763
.73766
.54647
.54651
.54655
.54658
9.73929
.73932
.73935
.73938
.54865
.54868
.54872
.54876
9.74101
.74104
.74106
.74109
.55083
.55085
.55089
.55093
9.74272
.74274
.74277
.74280
.55399
.65303
.55306
.55310
40
39
38
37
+ 6'
25
26
27
9.73596
.73598
.73601
.73604
.54445
.54448
.54453
.54456
9.73769
.73771
.73774
.73777
.54663
.54666
.54669
.54673
9.73941
.73944
.73946
.73949
.54879
.54883
.54886
.54890
9.74112
.74115
.74118
.74121
.55096
.55100
.55103
.55107
9.74283
.74286
.74289
.74291
.55313
.55317
.66330
.65324
36
35
34
33
+ r
29
30
31
9.73607
.73610
.73613
.73616
.54459
.54463
.54466
.54470
9.73780
.73783
.73786
.73789
.54676
.54680
.54684
.54687
9.73952
.73955
.73958
.73961
.54894
.54897
.54901
.54904
9.74124
.74126
.74129
.74132
.55111
.55114
.65118
.55133
9.74294
.74297
.74300
.74303
.55328
.65331
.55335
.55339
32
31
30
29
+ 8^
33
34
35
9.73619
.73622
.73624
.73627
.54474
.54477
.54481
.54485
9.73792
.73794
.73797
.73800
.54691
.54695
.54698
.54703
9.73964
.73967
.73969
.73972
.54908
.54912
.54915
.54919
9.74135
.74138
.74141
.74144
.55125
.55129
.55132
.65136
9.74306
.74308
.74311
.74314
.55342
.55346
.55349
.55353
28
27
26
25
+ 9^
37
38
39
9.73630
.73633
.73636
.73639
.54488
.54493
.54495
.54499
9.73803
.73806
.73809
.73812
.54705
.54709
.54713
.54716
9.73975
.73978
.73981
.73984
.54923
.54936
.51930
.51933
9.74146
.74149
.74152
.74155
.55140
.55143
.55147
.65150
9.74317
.74320
.74323
.74325
.55357
.55360
.55364
.55367
24
23
22
Tl
+ 10'
41
42
4S
9.73642
.73645
.73648
.73650
.54503
.54506
.54510
.54514
9.73815
.73817
.73820
.73823
.54730
.54724
.54737
.54731
9.73987
.73989
.73992
.73995
.54937
.54941
.54944
.54948
9.74158
.74161
.74163
.74166
.55154
.55158
.55161
.55165
9.74328
.74331
.74334
.74337
.55371
.65375
.55378
.56382
20
19
18
17
+ 11^
45
46
47
9.73653
.73656
.73659
.73662
.54517
.54531
.54534
.54538
9.73826
.73829
.73832
.73835
.54734
.54738
.54743
.54745
9.73998
.74001
.74004
.74007
.54953
.54955
.54959
.54963
9.74169
.74172
.74175
.74178
.65169
.65172
.55176
.55179
9.74340
.74342
.74345
.74348
.55386
.65389
.65393
.55396
16
15
14
13
12
11
10
9
+ ir
49
50
51
9.73665
.73668
.73671
.73674
.54533
.54535
.54539
.54543
9.73838
.73840
.73843
.73846
.54749
.54753
.54756
.54760
9.74009
.74012
.74015
.74018
.54966
.54970
.54973
.54977
9.74181
.74183
.74186
.74189
.55183
.55187
.55190
.55194
9.74351
.74354
.74357
.74359
.55400
.55404
.55407
.55411
+ 13'
53
54
55
9.73676
.73679
.73682
.73685
.54546
.54550
.54553
.54557
9.73849
.73852
.73855
.73858
.54763
.54767
.54771
.54774
9.74021
.74024
.74027
.74029
.54980
.54984
.54988
.54991
9.74192
.74195
.74198
.74200
.55197
.55201
.65205
.55208
9.74362
.74365
.74368
.74371
.55414
.55418
.55422
.65425
8
1
6
5
+ 1¥
57
58
59
9.73688
.73691
.73694
.73697
.54561
.54564
.54668
.54571
9.73860
.73863
.73866
.73869
.54778
.54781
.54785
.54789
9.74032
.74035
.74038
.74041
.54995
.54999
.55003
.55006
9.74203
.74206
74209
.74212
.55212
.55216
.66219
.65223
9.74374
.74376
.74379
.74382
.55429
.55433
.66436
.55440
4
3
2
"1
+ IS'
9.73699
.54575
9.73872
.54793
9.74044
.55009
9.74215
.55326
9.74385
.55443
_
17 fi 39m
nhssm
nu 37m
17^ 36m
i7ft SS-m
TABLE IV.
Haversines.
[Page 121
s
6h 25m 96° 15'
6ft 26m 96° 30'
6h 27m 96° 45'
6ft 28m 97° Q'
Oh ogm 97° 15'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.74385
.74388
.74391
.74393
.55443
.55447
.55451
.55454
9.74554
.74557
.74560
.74563
.55660
.55664
,55667
.55671
9.74723
.74726
.74729
.74732
.55877
.55880
.55884
.55888
9.74891
.74894
.74897
.74900
.56093
.56097
.56101
.56104
9.75059
.75061
.75004
.75067
.56310
.56314
.56317
.56321
60
59
58
57
+ r
5
6
7
9.7439(3
.74399
.74402
.74405
.55458
.55461
.55465
.55469
9.74566
.74569
.74571
.74574
.55675
.55678
.55683
.55685
9.74734
.74737
.74740
.74743
.55891
.55895
.55899
.55903
9.74902
.74905
.74908
.74911
.56108
.56113
.56115
.56119
9.75070
.75072
.75075
.75078
.56324
.56328
.56332
.56335
56
55
54
53
+ r
9
10
11
9.74408
.74410
.74413
.74416
.55473
.55476
.55479
.55483
9.74577
.74580
.74583
.74585
.55689
.55693
.55696
.55700
9.74746
.74748
.74751
.74754
.55906
.55909
.55913
.55917
9.74914
.74916
.74919
.74922
.56133
.56136
.56130
.56133
9.75081
.75084
.75086
.75089
.56339
.56343
.56346
.56350
52
51
50
49
+ 3'
13
14
15
9.74419
.74422
.74425
.74427
.55487
.55490
.55494
.55498
9.74588
.74591
.74594
.74597
.55704
.55707
.55711
.55714
9.74757
.74760
.74762
.74765
.55920
.55924
.55927
.55931
9.74925
.74928
.74930
.74933
.56137
.56140
.56144
.56147
9.75092
.75095
.75097
.75100
.56353
.56357
.56360
.56364
.56368
.56371
.56375
.56378
Jy8
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
+ i'
17
18
19
9.74430
.74433
.74436
.74439
.55501
.55505
.55508
.55513
9.74600
.74602
.74605
.74603
.55718
.55723
.55725
.55729
9.74768
.74771
.74774
.74776
.55935
.55938
.55943
.55945
9.74936
.74939
.74941
.74944
.56151
.56155
.56158
.56162
9.75103
.75106
.75109
.75111
+ 5'
21
22
23
9.74442
.74444
.74447
.74450
.55516
.55519
.55523
.55526
9.74611
.74614
.74616
.74619
.55733
.55736
.55740
.55743
9.74779
.74782
.74785
.74788
.55949
.55953
.55956
.55960
9.74947
.74950
.74953
.74955
.56166
.56169
.56173
.56176
9.75114
.75117
.75120
.75122
.56383
.56386
.56389
.56393
.56397
.56400
.56404
.56407
+ 6'
25
26
27
9.74453
.74456
.74458
.74461
.55530
.55534
.55537
.55541
9.74622
.74625
.74628
.74630
.55747
.55750
.55754
.55758
9.74791
.74793
.74796
.74799
.55964
.55967
.55971
.55974
9.74958
.74961
.74964
.74967
.56180
.56184
.56187
.56191
9.75125
.75128
.75131
.75134
+ r
29
SO
31
9.74464
.74467
.74470
.74473
.55545
.55548
.55553
.55555
9.74633
.74636
.74639
.74642
.55761
.55765
.55769
.55773
9.74802
.74805
.74807
.74810
.55978
.55983
.55985
.55989
9.74969
.74972
.74975
.74978
.56195
.56198
.56203
.56305
9.75136
.75139
.75142
.75145
.56411
.56415
.56418
.56423
32
3^1
30
29
+ 8'
33
34
35
9.74475
.74478
.74481
.74484
.55559
.55563
.55566
.55570
9.74645
.74647
.74650
.74653
.55776
.55779
.55783
.55787
9.74813
.74816
.74819
.74821
.55993
.55996
.56000
.56003
9.74981
.74983
.74986
.74989
.56309
.56313
.56316
.56330
9.75147
.75150
.75153
.75156
.56435
.56439
.56433
.56436
28
27
26
25
+ 9'
37
38
39
9.74487
.74490
.74492
.74495
.55573
.55577
.55581
.55584
9.74656
.74659
.74661
.74664
.55790
.55794
.55797
.55801
9.74824
.74827
.74830
.74833
.56007
.56010
.56014
.56018
9.74992
.74994
.74997
.75000
.56333
.56337
.56331
.56334
9.75159
.75161
.75104
.75107
.56440
.56443
.56447
.56451
24
23
22
21
20
19
18
17
+ W
41
42
43
9.74498
.74501
.74504
.74506
.55588
.55592
.55595
.55599
9.74667
.74670
.74673
.74675
.55805
.55808
.55813
.55815
-9.74835
.74838
.74841
.74844
.56031
.56035
.56039
.56033
9.75003
.75006
.75008
.75011
.56338
.56241
.56245
.56349
9.75170
.75172
.75175
.75178
.56454
.56458
.56461
.56465
+ 11^
45
46
47
9.74509
.74512
.74515
.74518
.55603
.55606
.55610
.55613
9.74678
.74681
.74684
.74687
.55819
.55833
.55836
.55830
9.74846
.74849
.74852
.74855
.56036
.56039
.56043
.56047
9.75014
.75017
.75020
.75022
.56353
.56256
.56259
.56263
9.75181
.75183
.75186
.75189
.56469
.56473
.56476
.56479
16
15
14
13
12
11
10
9
+ ir
49
50
51
9.74521
.74523
.74526
.74529
.55617
.55630
.55634
.55638
9.74690
.74692
.74695
.74698
.55834
.55837
.55841
.55844
9.74858
.74860
.74863
.74866
.56050
.56054
.56057
.56061
9.75025
.75028
.75031
.75033
.56367
.56370
.56374
.56377
9.75192
.75195
.75197
.75200
.56483
.56487
.56490
.56494
+ 13'
53
54
55
9.74532
.74535
.74538
.74540
.55631
.55635
.55638
.55643
9.74701
.74704
.74706
.74709
.55848
.55853
.55855
.55859
9.74869
.74872
.74874
.74877
.56065
.56068
.56073
.56075
9.75036
.75039
.75042
.75045
.56381
.56385
.56388
.56393
9.75203
.75206
.75208
.75211
.56497
.56501
.56505
.56508
8
7
6
5
4
3
2
1
> 14'
57
58
59
9.74543
.74546
.74549
.74552
.55646
.55649
.55653
.55657
9.74712
.74715
.74718
.74720
.55863
.55866
.55870
.55873
9.74880
.74883
.74886
.74888
.56079
.56083
.56086
.56090
9.75047
.75050
.75053
.75056
.56296
.56299
.56303
.56306
9.75214
.75217
.75220
.75222
.56513
.56516
.56519
.56533
+ 15'
9.74554
.55660
9.74723
.55877
9.74891
.56093
9.75059
.56310
9.75225
.56536
17h
34"^
l^h ssm
17h32m
17h
Sim
17h 30m
Page 122]
TABLE IV.
Havereinea.
s
6h som 97° 3(K
en Sim
97° 45'
6h 32m 98° 0'
6h 33m
98° 15'
eh 34m
98° 30'
s
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
5
9.75225
.75228
.75231
.75233
.56536
.56530
.56534
.56537
9.75391
.75394
.75396
.75399
.56743
.56746
.56750
.56753
9.75556
.75559
.75561
.75564
.56959
.56963
.56966
.56969
9.75720
.75723
.75726
.75729
.57175
.57178
.57183
.57185
9.75884
.75887
.75889
.75892
.57390
.57394
.57398
.57401
60
59
58
57
+ V
5
6
7
9.75236
.75239
.75242
.75244
.56541
.56544
.56548
.56553
9.75402
.75405
.75407
.75410
.56757
.56761
.56764
.56768
9.75507
.75570
.75572
.75575
.56973
.56977
.56980
.56984
9.75731
.75734
.75737
.75739
.57189
.57193
.57196
.57300
9.75895
.75898
.75900
.75903
.57405
.67408
.57413
.57416
56
55
54
53
+ V
9
10
11
9.75247
.75250
.75253
.75256
.56555
.56559
.56563
.56566
9.75413
.75416
.75418
.75421
.56771
.56775
.56779
.56783
9.75578
.75581
.75583
.75586
.56987
.56991
.56994
.56998
9.75742
.75745
.75748
.75750
.57303
.57307
.57311
.57314
9.75906
.75908
.75911
.75914
.57419
.57433
.57436
.57430
52
51
50
49
+ r
13
14
15
9.75258
.75261
.75264
.75267
.56570
.56573
.56577
.56580
9.75424
.75427
.75429
.75432
.56786
.56789
.56793
.56797
9.75589
.75592
.75594
.75597
.57003
.57005
.57009
.57013
9.75753
.75756
.75759
.75761
.57318
.57331
.57335
.57339
9.75917
.75919
.75922
.75925
.57434
.57437
.57441
.57444
48
47
46
45
n
18
19
9.75269
.75272
.75275
.75278
.56584
.56588
.56591
.56595
9.75435
.75438
.75440
.75443
.56800
.56804
.56807
.56811
9.75600
.75603
.75605
.75608
.57016
.57030
.57033
.57037
9.75764
.75767
.75770
.75772
.57333
.57336
^7339
.57343
9.75927
.75930
.75933
.75936
.57448
.57453
.57455
.57459
U
43
42
41
+ 5'
21
22
23
9.75280
.75283
.75286
.75289
.56598
.56603
.56606
.56609
9.75446
.75449
.75452
.75454
.56815
.56818
.56833
.56835
9.75611
.75614
.75616
.75619
.57031
.57034
.57038
.57041
9.75775
.75778
.75780
.75783
.57347
.57350
.57354
.57357
9.75938
.75941
.75944
.75947
.57463
.57466
.57470
.57473
40
39
38
37
+ ^
25
26
27
9.75291
.75294
.75297
.75300
.56613
.56616
.56630
.56634
9.75457
.75460
.75463
.75465
.56839
.56833
.56836
.56840
9.75622
.75625
.75627
.75630
.57045
.57049
.57053
.57056
9.75786
.75789
.75791
.75794
.57361
.57365
.57368
.57373
9.75949
.75952
.75955
.75957
.57477
.57480
.57484
.57488
36
36
34
33
+ r
29
30
31
9.75303
.75305
.75308
.75311
.56637
.56631
.56634
.5663S
9.75468
.75471
.75474
.75476
.56843
.56847
.56851
.56854
9.75633
.75636
.75638
.75641
.57059
.57063
.57067
.57070
9.75797
.75800
.75802
.75805
.57375
.57379
.57383
.57386
9.75960
.75963
.75966
.75968
.57491
.57495
.57498
.57503
32
31
30
29
+ S'
33
34
35
9.75314
.75316
.75319
.75322
.56643
.56645
.56649
.56653
9.75479
.75482
.75485
.75487
.56858
.56861
.56865
.56869
9.75644
.75646
.75649
.75652
.57074
.57077
.57081
.57085
9.75808
.75810
.75813
.75816
.57390
.57393
.57397
.57301
9.75971
.75974
.75976
.75979
.57506
.57509
.57513
.57516
28
27
26
25
+ ^
37
38
39
9.75325
.75327
.75330
.75333
.56656
.56660
.56663
.56667
9.75490
.75493
.75496
.75498
.56873
.56876
.56879
.56883
9.75655
.75657
.75660
.75663
.57088
.57093
.57095
.57099
9.75819
.75821
.75824
.75827
.57304
.57308
.57311
.57315
9.75982
.75985
.75987
.75990
.57530
.57534
.57537
.57531
24
23
22
21
+ W
41
42
43
9.75336
.75338
.75341
.75344
.56670
.56674
.56678
.56681
9.75501
.75504
.75507
.75509
.56887
.56890
.56894
.56897
9.75666
.75668
.75671
.75674
.57103
.57106
.57110
.57114
9.75830
.75832
.75835
.75838
.57318
.57333
.57336
.57339
9.75993
.75995
.75935
.76001
.57534
.57538
.57541
.57545
20
19
18
17
+ 11'
45
46
47
9.75347
.75350
.75352
.75355
.56685
.56689
.56693
.56696
9.75512
.75515
.75518
.75520
.56901
.56905
.56908
.56913
9.75677
.75679
.75682
.75685
.57117
.57131
.57134
.57138
9.75840
.75843
.75846
.75849
.57333
.57337
.57340
.57344
9.76004
.76006
.76009
.76012
.57549
.57553
.57556
.57559
16
15
14
13
+ n'
49
50
51
9.75358
.75361
.75363
.75366
.56699
.56703
.56707
.56710
9.75523
.75526
.75529
.75531
.56915
.56919
.56933
.56936
9.75688
.75690
.75693
.75696
.57131
.57135
.57139
.57143
9.75851
.75854
.75857
.75859
.57347
.57351
.57355
.57358
9.76014
.76017
.76020
.76023
.57563
.57567
.57570
.57574
12
11
10
9
+ 13'
53
54
55
9.75369
.75372
.75374
.75377
.56714
.56717
.56731
.56735
9.75534
.75537
.75540
.75542
.56930
.56933
.56937
.56941
9.75698
.75701
.75704
.75707
.57146
.57149
.57153
.57157
9.75862
.75865
.75868
.75870
.57363
.57365
.57369
.57373
9.76025
.76028
.76031
.76033
.57577
.57581
.57585
.57588
8
7
6
5
+ W
57
58
59
9.75380
.75383
.75385
.75388
.56738
.56733
.56735
.56739
9.75545
.75548
.75550
.75553
.56944
.56948
.56951
.56955
9.75709
.75712
.75715
.75718
.57160
.57164
.57167
.57171
9.75873
.75876
.75879
.75881
.57376
.57380
.57383
.57387
9.76036
.76039
.76041
.76044
.57593
.57595
.57599
.57603
4
S
2
1
+ 15'
9.75391
.56743
9.75556
.56959
9.75720
.57175
9.75884
.57390
9.76047
.57606
17h29m 1
17^ 28m
17h
gym
17h
?6m
17h 25m 1
TABLE IV. [Page 123
Haversines.
s
6ft S5m 98° 45'
6h 36m 990 0'
6h ,37m 990 15'
6ft 38m 990 30'
6ft S9m 99° 45'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.76047
.76050
.76052
.76055
.57606
.57610
.57613
.57617
9.76209
.76212
.76215
.76217
.57833
.57835
.57839
.57833
9.76371
.76373
.76376
.76379
.58037
.58041
.58044
.58048
9.76531
.76534
.76537
.76539
.58353
.58356
.58360
.58363
9.76691
.76694
.76697
.76699
.58467
.58471
.58475
.58478
60
59
58
57
+ r
5
6
7
9.76058
.76060
.76063
.76066
.57631
.57634
.57638
.57631
9.76220
.76223
.76225
.76228
.57836
.57840
.57843
.57847
9.76381
.76384
.76387
.76389
.58051
.58055
.58059
.58063
9.76542
.76545
.76547
.76550
.58367
.58370
.58374
.58377
9.76702
.76705
.76707
.76710
.58483
.58486
.68489
.58493
56
55
54
53
9
10
11
9.76069
.76071
.76074
.76077
.57635
.57639
.57643
.57646
9.76231
.76233
.76236
.76239
.57850
.57854
.57858
.57861
9.76392
.76395
.76397
.76400
.58066
.58069
.58073
.58077
9.76553
.76555
,76558
.76561
.58381
.58385
.58388
.58393
9.76713
.76715
.76718
.76721
.58496
.58500
.58503
.58507
52
51
50
49
48
47
46
45
+ 3'
IS
14
15
9.76079
.76082
.76085
.76088
.57649
.57653
.57656
.57660
9.76241
.76244
.76247
.76250
.57865
.57868
.57873
.57876
9.76403
.76405
.76408
.76411
.58080
.58084
.58087
.58091
9.76563
.76566
.76569
.76571
.58395
.58399
.58303
.58306
9.76723
.76726
.76729
.76731
.58510
.58614
.58618
.58531
+ 4'
17
18
19
9.76090
.76093
.76096
.76098
.57661
.57667
.57671
.57675
9.76252
.76255
.76258
.76260
.57879
.57883
.57886
.57890
9.76414
.76416
.76419
.76422
.58095
.58098
.58103
.58105
9.76574
.76577
.76579
.76582
.58310
.58313
.58317
.58331
9.76734
.76737
.76739
.76742
.58535
.58538
.58533
.58636
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
+ 5'
21
22
23
9.76101
.76104
.76106
.76109
.57678
.57683
.57685
.57689
9.76263
.76266
.76268
.76271
.57894
.57897
.57901
.57904
9.76424
.76427
.76430
.76432
.58109
.58113
.58116
.58130
9.76585
.76587
.76590
.76593
.58334
.58338
.58331
.58335
9.76745
.76747
.76750
.76753
.58639
.68643
.68646
.68550
+ 6'
25
26
27
9.76112
.76115
.76117
.76120
.57693
.57696
.57700
.57703
9.76274
.76276
.76279
.76282
.57908
.57911
.57915
.57919
9.76435
.76438
.76440
.76443
.58133
.58137
.58130
.58134
9.76595
.76598
.76601
.76603
.58338
.58343
.58346
.58349
9.76755
.76758
.76761
.76763
.68663
.68657
.58561
.68664
.68668
.58671
.58575
.68579
+ r
29
30
31
9.76123
.76125
.76128
.76131
.57707
.57710
.57714
.57718
9.76285
.76287
.76290
.76293
.57933
.57936
.57939
.57933
9.76446
.76448
.76451
.76454
.58138
.58141
.58145
.58148
9.76606
.76609
.76611
.76614
.58353
.58356
.58360
.58364
9.76766
.76769
.76771
.76774
+ 8'
33
34
35
9.76134
.76136
.76139
.76142
.57731
.57735
.57738
.57733
9.76296
.76298
.76301
.76303
.57937
.57940
.57944
.57947
9.76456
.76459
.76462
.76464
.58153
.58156
.58159
.58163
9.76617
.76619
.76622
.76625
.58367
.58371
.58374
.58378
9.76777
.76779
.76782
.76784
.68683
.68586
.58589
.58595
+ r
37
9-38
39
9.76144
.76147
.76150
.76152
.57736
.57739
.57743
.57746
9.76306
.76309
.76311
.76314
.57951
.57955
.57958
.57963
9.76467
.76470
.76473
.76475
.58166
.58170
.58173
.58177
9.76627
.76630
.76633
.76635
.58381
.58385
.58389
.58393
9.76787
.76790
.76792
.76795
.68696
.68600
.58604
.58607
24
23
22
21
+ W
41
42
43
9.76155
.76158
.76161
.76163
.57750
.57753
.57757
.57761
9.76317
.76320
.76322
.76325
.57965
.57969
.57973
.57976
9.76478
.76481
.76483
.76486
.58181
.58184
.58188
.58191
9.76638
.76641
.76643
.76646
.58396
.58399
.58403
.58407
9.76798
.76800
.76803
.76806
.58611
.58614
.58618
.68633
20
19
18
17
+ 11^
45
46
47
9.76166
.76169
.76171
.76174
.57764
.57768
.57771
.57775
9.76328
.76330
.76333
.76336
.57980
.57983
.57987
.57990
9.76489
.76491
.76494
.76497
.58195
.58199
.58303
.58306
9.76649
.76651
.76654
.76657
.58410
.58414
.58417
.58431
9.76808
.76811
.76814
.76816
.68635
.58639
.68633
.68636
16
15
14
13
12
11
10
9
8
7
6
5
+ n'
49
50
51
9.76177
.76179
.76182
.76185
.57779
.57783
.57786
.57789
9.76338
.76341
.76344
.76346
.57994
.57998
.58001
.58005
9.76499
.76502
.76505
.76507
.58309
.58313
.58317
.58330
9.76659
.76662
.76665
.76667
.58434
.58438
.58433
.58435
9.76819
.76822
.76824
.76827
.58639
.68643
.58647
.68650
+ 13'
53
54
55
9.76188
.76190
.76193
.76196
.57793
.57797
.57800
.57804
9.76349
.76352
.76354
.76357
.68008
.58013
.58016
.58019
9.76510
.76513
.76515
.76518
.58334
.58337
.58331
.58334
9.76670
.76673
.76675
.76678
.58439
.58443
.58446
.58450
9.76830
.76832
.76835
.76838
.68654
.58667
.68661
.58665
+ W
57
58
59
9.76198
.76201
.76204
.76206
.57807
.57811
.57815
.57818
9.76360
.76363
.76365
.76368
.58033
.58036
.58030
.58034
9.76521
.76523
.76526
.76529
.58338
.58343
.58345
.58349
9.76681
.76683
.76686
.76689
.58453
.58457
.58460
.58464
9.76840
.76843
.76845
.76848
.58668
.58671
.68675
.58679
4
3
2
1
+ 15'
9.76209
.57833
9.76371
.58037
9.76531
.58353
9.76691
.58467
9.76851
.58683
nn 24m 1
17h 23m 1
17h 22^ 1
17h 21m 1
17h 20m 1
Page 124]
TABLE
IV.
Haversinea.
3
6h 40m 100° r
6^41^
100° 15'
6h42m
100° sr
6h 4Sm 100° 45'
6k 44m
101° 0'
s
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
9.76851
.58683
9.77009
.58897
9.77167
.59112
9.77325
.59336
9.77481
.59540
60
1
.76853
.58686
.77012
.58901
.77170
.59115
.77327
.59330
.77484
.59544
59
2
.76856
.58690
.77015
.58904
.77173
.59119
.77330
.59333
.77480
.59548
58
S
.76859
.58693
.77017
.58908
.77175
.59122
.77333
.59337
.77489
.59551
57
+ r
9.76861
.58697
9.77020
.58911
9.77178
.59126
9.77335
.59340
9.77492
.59555
56
5
.76864
.58700
.77023
.58915
.77181
.59130
.77338
.59344
.77494
.59558
55
6
.76867
.58704
.77025
.58919
.77183
.59133
.77340
.59348
.77497
.59563
54
7
.76869
.58707
.77028
.58923
.77186
.59137
.77343
.59351
.77499
.59565
53
+ r
9.76872
.58711
9.77031
.58926
9.77188
.59140
9.77346
.59355
9.77502
.59569
52
9
.76875
.58714
.77033
.58939
.77191
.59144
.77348
.59358
.77505
.59573
51
10
.76877
.58718
.77036
.58933
.77194
.59148
.77351
.59363
.77507
.59576
50
11
.76880
.58732
.77038
.58937
.77196
.59151
.77353
.59365
.77510
.59580
49
+ 3^
9.76883
.58735
9.77041
.58940
9.77199
.59155
9.77356
.59369
9.77512
.59583
48
13
.76885
.58739
.77044
.58944
.77202
.59158
.77359
.59373
.77515
.59587
47
14
.76888
.58733
.77046
.58947
.77204
.59162
.77361
.59376
.77518
.59590
46
15
.76891
.58736
.77049
.58951
.77207
.59165
.77364
.59380
.77520
.59594
45
+ 4^
9.76893
.58740
9.77052
.58954
9.77209
.59169
9.77366
.59383
9.77523
.59598
U
17
.76896
.58743
.77054
.58858
.77212
.59173
.77369
.59387
.77525
.59601
43
18
.76898
.58747
.77057
.58963
.77215
.59176
.77372
.59391
.77528
.59605
42
19
.76901
.58750
.77060
.58965
.77217
.59180
.77374
.59394
.77531
.59608
41
+ 5^
9.76904
.58754
9.77062
.58969
9.77220
.59183
9.77377
.59398
9.77533
.59613
40
21
.76906
.58758
.77065
.58972
.77223
.59187
.77380
.59401
.77536
.59615
39
22
.76909
.58761
.77067
.58976
.77225
.59190
.77382
.59405
.77538
.59619
38
23
.76912
.58765
.77070
.58979
.77228
.59194
.77385
.59408
.77541
.59633
37
+ 6^
9.76914
.58768
9.77073
.58983
9.77230
.59198
9.77387
.69413
9.77544
.59636
36
25
.76917
.58773
.77075
.58987
.77233
.59201
.77390
.59416
.77546
.59630
35
26
.76920
.58776
.77078
.58990
.77236
.59205
1 .77393
.59419
.77549
.59633
34
27
.76922
.58779
.77081
.58994
.77238
.59208
.77395
.59433
.77551
.59637
33
+ r
9.76925
.58783
9.77083
.58997
9.77241
.59212
9.77398
.59436
9.77554
.59640
32
29
.76928
.58780
.77086
.59001
.77243
.59215
.77400
.59430
.77557
.59644
31
30
.76930
.58730
.77089
.59005
.77246
.59219
.77403
.59433
.77559
.59648
30
31
.76933
.58793
.77091
.59008
.77249
.59223
.77406
.59437
.77562
.59651
29
+ 8'
9.76936
.58797
9.77094
.59013
9.77251
.59236
9.77408
.59440
9.77564
.59655
28
33
.76938
.58801
.77096
.59015
.77254
.59230
.77411
.59444
.77567
.59658
27
34
.76941
.58804
.77099
.59019
.77257
.59233
.77413
.59448
.77570
.59663
26
35
.76943
.58808
.77102
.59033
.77259
.59237
.77416
.59451
.77572
.59665
25
+ 9"
9.76946
.58811
9.77104
.59036
9.77262
.59240
9.77419
.59455
9.77575
.59669
24
37
.76949
.58815
.77107
.59030
.77264
.59244
.77421
.59458
.77577
.59672
23
38
.76951
.58818
.77110
.59033
.77267
.59248
.77424
.59463
.77580
.59676
22
39
.76954
.58823
.77112
.59037
.77270
.59251
.77427
.59465
.77583
.59680
21
+ W
9.76957
.58836
9.77115
.59040
9.77272
.59255
9.77429
.59469
9.77585
.59683
20
41
.76959
.58839
.77117
.59044
.77275
.59358
.77432
.59473
.77588
.59687
19
42
.76962
.58833
.77120
.59047
.77278
.59363
.77434
.59476
.77590
.59690
18
43
.76965
.58836
.77123
.59051
.77280
.59265
.77437
.59480
.77593
.59694 17
+ ir
9.76967
.58840
9.77125
.59055
9.77283
.59269
9.77440
.59483
9.77596
.59697 16
45
.76970
.58843
.77128
.59058
.77285
.59273
.77442
.59487
.77598
.59701
15
46
.76972
.58847
.77131
.59063
.77288
.59376
.77445
.59490
.77601
.59705
14
47
.76975
.58851
.77133
.59065
.77291
.59380
.77447
.59494
.77603
.59708
13
+ 12'
9.76978
.58854
9.77136
.59069
9.77293
.59383
9.77450
.59498
9.77606
.59712
12
49
.76980
.58858
.77139
.59073
.77296
.59387
.77453
.59501
.77609
.59715
11
50
.76983
.58861
.77141
.59076
.77298
.59390
.77455
.59505
.77611
.59719
10
51
.76986
.58865
.77144
.59080
.77301
.59394
.77458
.59508
.77614
.59722
9
+ 13'
9.76988
.58869
9.77146
.59083
9.77304
.59298
9.77460
.59513
9.77616
.59726
8
53
.76991
.58873
.77149
.59087
.77306
.59301
.77463
.59515
.77619
.59730
7
54
.76994
.58876
.77152
.59090
.77309
.59305
.77466
.59519
.77622
.59733
6
55
.76996
.58879
.77154
.59094
.77312
.59308
.77468
.59533
.77624
.59737
5
+ 14'
9.76999
.58883
9.77157
.59097
9.77314
.59312
9.77471
.59536
9.77627
.59740
4
57
.77002
.58886
.77160
.59101
.77317
.59315
.77473
.59530
.77629
.59744
8
58
.77004
.58890
.77162
.59105
.77319
.59319
.77476
.59533
.77632
.59747
2
59
.77007
.58894
.77165
.59108
.77322
.59323
.77479
.59537
.77634
.59751
1
+ 15'
9.77009
.58897
9.77167 1
.59113
9.77325
.59336
9.77481
.59540
9.77637
.59755
i7h 19m 1
17h igm 1
17h 17m 1
17k i&m 1
17h 15m 1
TABLE I y. [Pa^e 125
Haversinea.
s
6ft ^m 101° 15'
6ft 46^ 101° sr
6h 47m 101° 45'
6ft 4Sm 103° 0'
6ft 49m 103° 15'
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.77637
.77640
.77642
.77645
.59755
.59758
.59763
.59765
9.77792
.77795
.77797
.77800
.59968
.59973
.59976
.59979
9.77947
.77949
.77952
.77954
.60183
.60185
.60189
.60193
9.78101
.78103
.78106
.78108
.60396
.60399
.60403
.60406
9.78254
.78256
.78259
.78261
.60609
.60613
.60616
.60630
60
59
58
57
+ r
5
6
7
9.77647
.77650
.77653
.77655
.59769
.59773
.59776
.59779
9.77803
.77805
.77808
.77810
.59983
.59986
.59990
.59993
9.77957
.77960
.77962
.77965
.60196
.60300
.60303
.60307
9.78111
.78113
.78116
.78118
.60410
.60414
.60417
.60430
9.78264
.78266
.78269
.78271
.60633
.60637
.60630
.60634
56
55
54
53
+ y
9
10
11
9.77658
.77660
.77663
.77666
.59783
.59787
.59790
.59794
9.77813
.77815
.77818
.77821
.59997
.60000
.60004
.60008
9.77967
.77970
.77972
.77975
.60311
.60314
.60318
.60331
9.78121
.78124
.78126
.78129
.60434
.60438
.60431
.60435
9.78274
.78277
.78279
.78282
.60637
.60641
.60644
.60648
52
51
50
49
+ 3'
13
14
15
9.77668
.77671
.77673
.77676
.59797
.59801
.59S01
.59808
9.77823
.77826
.77828
.77831
.60011
.60015
.60018
.60033
9.77978
.77980
.77983
.77985
.60335
.60338
.60333
.60335
9.78131
.78134
.78136
.78139
.60438
.60443
.60445
.60449
9.78284
.78287
.78289
.78292
.60653
.60655
.60659
.60663
48
47
46
45
+ 4'
17
18
19
9.77679
.77681
.77684
.77686
.59813
.59815
.59819
.59833
9.77834
.77836
.77839
.77841
.60035
.60039
.60033
.60036
9.77988
.77990
.77993
.77996
.60339
.60343
.60346
.60350
9.78141
.78144
.78147
.78149
.60453
.60456
.60460
.60463
9.78294
.78297
.78299
.78302
.60666
.60669
.60673
.60676
44
4S
42
41
+ 5'
21
22
23
9.77689
.77691
.77694
.77697
.59836
.59839
.59833
.59837
9.77844
.77846
.77849
.77852
.60040
.60043
.60047
.60050
9.77998
.78001
.78003
.78006
.60353
.60357
.60360
.60364
9.78152
.78154
.78157
.78159
.60467
.69470
.60474
.60477
9.78305
.78307
.78310
.78312
.60680
.60684
.60687
,60691
40
39
38
37
+ 6'
25
26
27
9.77699
.77702
.77704
.77707
.59840
.59844
.59847
.59851
9.77854
.77857
.77859
.77862
.60054
.60057
.60061
.60065
9.78008
.78011
.78013
.78016
.60368
.60371
.60375
.60378
9.78162
.78164
.78167
.78170
.60481
.60484
.60488
.60493
9.78315
.78317
.78320
.78322
.60694
.60698
.60701
.60705
36
35
34
33
+ r
29
30
31
9.77710
.77712
.77715
.77717
.59854
.59858
.59861
.59865
9.77864
.77867
.77870
.77872
.60068
.60073
.60075
.60079
9.78019
.78021
.78024
.78026
.60383
.60385
.60389
.60393
9.78172
.78175
.78177
.78180
.60495
.60499
.60503
.60506
9.78325
.78327
.78330
.78332
.60708
.60713
.60715
,60719
32
31
30
29
+ 8'
33
34
35
9.77720
.77723
.77725
.77728
.59869
.59873
.59876
.59879
9.77875
.77877
.77880
.77882
.60083
.60086
.60090
.60093
9.78029
.78031
.78034
.78037
.60396
.60300
.60303
.60307
9.78182
.78185
.78187
.78190
.60509
.60513
.00516
.60530
9.78335
.78338
.78340
.78343
,60733
,60736
,60730
.60733
28
27
26
25
+ ^
37
38
39
9.77730
.77733
.77735
.77738
.59883
.59886
.59890
,59894
9.77885
.77888
.77890
.77893
.60097
.60100
.60104
.60107
9.78039
.78042
.78044
.78047
.60310
.60314
.60317
.60331
9.78192
.78195
.78198
.78200
.60534
.60537
.60531
.60534
9.78345
.78348
.78350
.78353
.60737
.60740
,60744
,60747
24
23
22
21
+ W
41
42
43
9.77741
.77743
.77746
.77748
.59897
.59901
.59904
.59908
9.77895
.77898
.77900
.77903
.60111
.60114
.60118
.60133
9.78049
.78052
.78054
.78057
.60334
.60338
.60333
.60335
9.78203
.78205
.78208
.78210
.60538
.60541
.60545
.60548
9.78355
.78358
.78360
.78363
.60751
.60755
,60758
,60763
20
19
18
17
+ 11^
45
46
47
9.77751
.77754
.77756
.77759
.59911
.59915
.59919
.59933
9.77906
.77908
.77911
.77913
.60135
.60139
.60133
.60136
9.78060
.78062
.78065
.78067
.60339
.60343
.60346
.60349
9.78213
.78215
.78218
.78221
.60553
.60556
,60559
.60563
9.78365
.78368
.78371
.78373
.60765
.60769
,60773
,60776
16
15
14
13
+ 13'
49
50
51
9.77761
.77764
.77766
.77769
.59936
.59939
.59933
.59936
9.77916
.77918
.77921
.77924
.60139
.60143
.60146
.60150
9.78070
.78072
.78075
.78077
.60353
.60356
.60360
.60364
9.78223
.78226
.78228
.78231
.60566
.69579
.60573
.60577
9.78376
.78378
.78381
.78383
.60779
.60783
.60786
.60790
12
11
10
9
+ 13'
53
54
55
9.77772
.77774
.77777
.77779
.59940
.59943
.59947
.59951
9.77926
.77929
.77931
.77934
.60154
.60157
.60161
.60164
9.78080
.78083
.78085
.78088
.60367
.60371
.60374
.60378
9.78233
.78236
.78238
.78241
.60580
.60584
.60588
.60591
9.78386
.78388
.78391
.78393
.60794
.60797
.60801
.60804
8
7
6
5
+ W
57
58
59
9.77782
.77785
.77787
.77790
.59954
.59958
.59961
.59965
9.77936
.77939
.77942
.77944
.60168
.60171
.60175
.60179
9.78090
.78093
.78095
.78098
.60381
.60385
.60388
.60393
9.78243
.78246
.78249
.78251
.60595
.60598
.60603
.60605
9.78396
.78398
.78401
.78404
.60808
.60811
.60815
.60818
4
S
2
1
+ 15'
9.77792
.59968
9.77947
.60183
9.78101
.60396
9.78254
.60609
9.78406
.69833
i7h 14m
17h 13m
17h ipn
J?7ft lim
17h iom
Page 126] TABLE lY.
Havereines.
s
6h oOm 102° 3(K
6^ 5im 102° 45'
6h S2m 103° 0'
6h 5Sm 103° 15'
6h 54^ 103° 30'
s
60
59
58
57
56
55
54
53
52
51
50
49
Log. Hav.
Nat. Hav.
Hav.Log.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
~3
9.78406
.78409
.78411
.78414
.60822
.60825
.60829
.60833
9.78558
.78560
.78563
.78565
.61035
.61038
.61042
.61046
9.78709
.78711
.78714
.78716
.61248
.61251
.61255
.61258
9.78859
.78862
.78864
.78867
.61460
.61464
.61467
.61471
9.79009
.79011
.79014
.79016
.61672
.61676
.61679
.61683
+ r
5
6
7
9.78416
.78419
.78421
.78424
.60836
.60840
.60843
.60847
9.78568
.78570
.78573
.78575
.61049
.61053
.61056
.61060
9.78719
.78721
.78724
.78726
.61262
.61265
.61269
.61272
9.78869
.78872
.78874
.78877
.61474
.61478
.61481
.61485
9.79019
.79021
.79024
.79026
.61686
.61690
.61693
.61697
.61701
.61704
.61708
.61711
+ r
9
10
11
9.78426
.78429
.78431
.78434
.60850
.60854
.60857
.60861
9.78578
.78581
.78583
.78586
.61063
.61067
.61070
.61074
9.78729
.78731
.78734
.78737
.61276
.61279
.61283
.61287
9.78879
.78882
.78884
.78887
.61488
.61492
.61495
.61499
9.79029
.79031
.79034
.79036
+ 3'
13
U
15
9.78436
.78439
.78442
.78444
.60865
.60868
.60872
.60875
9.78588
.78591
.78593
.78596
.61077
.61081
.61085
.61088
9.78739
.78742
.78744
.78747
.61290
.61294
.61297
.61301
9.78889
.78892
.78894
.78897
.61502
.61506
.61510
.61513
9.79039
.79041
.79044
.79046
.61715
.61718
.61722
.61725
48
47
46
45
44
43
42
41
+ 4^
17
18
19
9.78447
.78449
.78452
.78454
.60879
.60882
.60886
.60889
9.78598
.78601
.78603
.78606
.61092
.61095
.61099
.61102
9.78749
.78752
.78754
.78757
.61304
.61308
.61311
.61315
9.78899
.78902
.78904
.78907
.61517
.61520
.61524
.61527
9.79049
.79051
.79054
.79056
.61729
.61732
.61736
.61739
+ 6'
21
22
23
9.78457
.78459
.78462
.78464
.60893
.60897
.60900
.60904
9.78608
.78611
.78613
.78616
.61106
.61109
.61113
.61116
9.78759
.78762
.78764
.78767
.61318
.61322
.61325
.61329
9.78909
.78912
.78914
.78917
.61531
.61534
.61538
.61541
9.79059
.79061
.79064
.79066
.61743
.61747
.61750
.61754
40
39
38
37
+ 6^
25
26
27
9.78467
.78469
.78472
.78474
.60907
.60911
.60914
.60918
9.78618
.78621
.78023
.78626
.61120
.61124
.61127
.61131
9.78769
.78772
.78774
.78777
.61333
.61336
.61340
.61343
9.78919
.78922
.78924
.78927
.61545
.6154S
.61552
.61556
9.79069
.79071
.79074
.79076
.61757
.61761
.61764
.61768
36
35
34
33
+ r
30
31
9.78477
.78479
.78482
.78485
.60921
.60925
.60928
.60932
9.78628
.78631
.78633
.78636
.61134
.61138
.61141
.61145
9.78779
.78782
.78784
.78787
.61347
.61350
.61354
.61357
9.78929
.78932
.78934
.78937
.61559
.61563
.61566
.61570
9.79079
.79081
.79084
.79086
.61771
.61775
.61778
.61782
32
31
30
29
+ 8^
33
34
35
9.78487
.78490
.78492
.78495
.60938
.60939
.60943
.60946
9.78638
.78641
.78643
.78646
.61148
.61152
.61155
.61159
9.78789
.78792
.78794
.78797
.61361
.61364
.61368
.61372
9.78939
.78942
.78944
.78947
.61573
.61577
.61580
.61584
9.79089
.79091
.79094
.79096
.61785
.61789
.61792
.61796
28
27
26
25
24
23
22
Tl
+ 9^
37
38
39
9.78497
.78500
.78502
.78505
.60950
.60953
.60957
.60960
9.78649
.78651
.78654
.78656
.61163
.61166
.61170
.61173
9.78799
.78802
.78804
.78807
.61375
.61379
.61382
.61386
9.78949
.78952
.78954
.78957
.61587
.61691
.61594
.61598
9.79099
.79101
.79103
.79106
.61800
.61803
.61807
.61810
+ W
41
42
43
9.78507
.78510
.78512
.78515
.60964
.60967
.60971
.60975
9.78659
.78661
.78664
.78666
.61177
.61180
.61184
.61187
9.78809
.78812
.78814
.78817
.61389
.61393
.61396
.61400
9.78959
.78962
.78964
.78967
.61602
.61605
.61609
.61612
9.79108
.79111
.79113
.79116
.61814
.61817
.61821
.61824
20
19
18
17
16
15
14
13
12
11
10
9
+ 11^
45
46
47
9.78517
.78520
.78522
.78525
.60978
.60982
.60985
.60989
9.78669
.78671
.78674
.78676
.61191
.61194
.61198
.61201
9.78819
.78822
.78824
.78827
.61403
.61407
.61410
.61414
9.78969
.78972
.78974
.78977
.61616
.61619
.61623
.61626
9.79118
.79121
.79123
.79126
.61828
.61831
.61835
.61838
+ !%'
49
50
51
9.78528
.78530
.78533
.78535
.60992
.60996
.60999
.61003
9.78679
.78681
.78684
.78686
.61205
.61209
.61212
.61216
9.78829
.78832
.78834
.78837
.61418
.61421
.61425
.61428
9.78979
.78982
.78984
.78987
.61630
.61633
.61637
.61640
9.79128
.79131
.79133
.79136
.61842
.61845
.61849
.61853
+ 13'
53
54
55
9.78538
.78540
.78543
.78545
.61007
.61010
.61014
.61017
9.78689
.78691
.78694
.78696
.61219
.61223
.61226
.61230
9.78839
.78842
.78844
.78847
.61432
.61435
.61439
.61442
9.78989
.78992
.78994
.78997
.61644
.61648
.61651
.61655
9.79138
.79141
.79143
.79146
.61856
.61860
.61863
.61867
8
7
6
5
4
3
1
+ W
57
58
59
9.78548
.78550
.78553
.78555
.61021
.61024
.61028
.61032
9.78699
.78701
.78704
.78706
.61233
.61237
.61240
.61244
9.78849
.78852
.78854
.78857
.61446
.61449
.61453
.61456
9.78999
.79002
.79004
.79007
.61658
.61662
.61665
.61669
9.79148
.79151
.79153
.79156
.61870
.61874
.61877
.61881
+ 15'
9.78558
.61035
9.78709
.6124S
9.78859
.61460
9.79009
.61672
9.79158
.61884
irhQm
17 h gm
17h jm 1 i7h em
]7h gm
TABLE IV.
Haversines.
[Page 127
s
61 55m 103° 45'
6h 56m 104° 0'
6h 57m 104° 15'
eh 58m 104° 30'
6^1 59>n 104° 45' 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.79158
.79161
.79163
.79165
.61884
.61888
.61891
.61895
9.79306
.79309
.79311
.79314
.62096
.62100
.63103
.62107
9.79454
.79457
.79459
.79462
.63308
.63311
.63315
.63318
9.79601
.79604
.79600
.79609
.63519
.63533
.63536
.63530
9.79748
.79750
.79752
.79755
.63730
.63734
.63737
.63741
60
59
oS
57
56
55
54
53
52
51
50
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
+ V
5
6
7
9.79168
.79170
.79173
.79175
.61898
.61903
.61905
.61909
9.79316
.79319
.79321
.79324
.63110
.63114
.63117
.63131
9.79464
.79466
.79469
.79471
.63333
.63335
.63339
.63332
.63336
.63339
.62343
.62346
9.79G11
.79613
.79616
.79618
.63533
.63537
.63540
.63544
9.79757
.79760
.79762
.79765
.62744
.62748
.63751
.63755
+ 2'
9
10
11
9.79178
.79180
.79183
.79185
.61913
.61916
.61920
.61923
9.79326
.79329
.79331
.79334
.63134
.63138
.63131
.63135
9.79474
.79476
.79479
.79481
9.79621
.79623
.79626
.79628
.63547
.63551
.63554
.63558
9.79767
.79770
.79772
.79774
.63758
.63763
.63765
.63769
+ 3'
13
14
15
9.79188
.79190
.79193
.79195
.61937
.61930
.61934
.61937
9.79336
.79339
.79341
.79343
.63138
.63142
.62145
.62149
.62153
.63156
.63160
.63163
9.79484
.79486
.79489
.79491
.63350
.63353
.63357
.63361
9.79631
.79633
.79635
.79038
.63561
.63565
.62568
.63573
9.79777
.79779
.79782
.79784
.63773
.62776
.62779
.62783
17
18
19
9.79198
.79200
.79203
.79205
.61941
.61944
.61948
.61951
9.79346
.79348
.79351
.79353
9.79493
.79496
.79498
.79501
.63364
.63368
.63371
.63375
.63378
.63383
.62385
.63389
9.79640
.79643
.79645
.79648
9.79650
.79653
.79655
.79657
.63575
.63579
.63582
.62586
9.79787
.79789
.79791
.79794
.62786
.62790
.62793
.62797
+ 5'
21
22
23
9.79208
.79210
.79213
.79215
.61955
.61958
.61962
.61966
9.79356
.79358
.79361
.79363
.63167
.62170
.62174
.62177
9.79503
.79506
.79508
.79511
.62589
.62593
.62596
.62600
9.79796
.79799
.79801
.79804
.63800
.63804
.63807
.63811
+ 6'
25
26
27
9.79217
.79220
.79222
.79225
.61969
.61973
.61976
.61980
9.79366
.79368
.79371
.79373
.62181
.63184
.62188
.62191
9.79513
.79516
.79518
.79520
.63393
.63396
.63399
.63403
9.79660
.79662
.79665
.79667
.62603
.62607
.62611
.62614
9.79806
.79808
.79811
.79813
.63814
.63818
.63833
.63835
+ r
29
30
31
9.79227
.79230
.79232
.79235
.61983
.61987
.61990
.61994
9.79376
.79378
.79380
.79383
.62195
.63198
.63302
.63305
9.79523
.79525
.79528
.79530
.63406
.63410
.63413
.63417
9.79670
.79672
.79674
.79677
.62618
.62621
.63625
.62628
9.79816
.79818
.79821
.79823
.63839
.63833
.63836
.63839
+ 8'
33
34
35
9.79237
.79240
.79242
.79245
.61997
.63001
.62004
.62008
9.79385
.79388
.79390
.79393
.63309
.63313
.63316
.63330
9.79533
.79535
.79538
.79540
.63430
.63434
.63427
.62431
9.79679
.79682
.79684
.79687
.62633
.63635
.63639
.63643
9.79825
.79828
.79830
.79833
.63843
.63846
.63850
.63853
28
27
26
25
+ 9'
37
38
39
9.79247
.79250
.79252
.79255
.62011
.62015
.62018
.62022
9.79395
.79398
.79400
.79403
.63333
.63337
.63330
.63334
9.79542
.79545
.79547
.79550
.62434
.62438
.62442
.62445
9.79689
.79692
.79694
.79696
.63646
.63649
.63653
.62656
9.79835
.79838
.79840
.79842
.63857
.62860
.62864
.62867
24
23
22
21
+ 10'
41
42
43
9.79257
.79260
.79262
.79264
.62036
.62029
.62033
.62036
9.79405
.79407
.79410
.79412
.62237
.62241
.62344
.63348
9.79552
.79555
.79557
.79560
.63449
.63453
.63456
.63459
9.79699
.79701
.79704
.79706
.62660
.62663
.62667
.62670
9.79845
.79847
.79850
.79852
.62871
.82874
.63878
.63881
.62885
.62888
.63892
.62895
29
19
IS
17
16
15
14
IS
+ 11'
45
46
47
9.79267
.79269
.79272
.79274
.63040
.62043
.62047
.62050
9.79415
.79417
.79420
.79422
.63351
.62255
.62258
.63363
9.79562
.79565
.79567
.79569
.63463
.63466
.63470
.62473
9.79709
.79711
.79714
.79716
.62674
.62677
.62681
.62684
9.79855
.79857
.79859
.79862
+ 12'
49
50
51
9.79277
.79279
.79282
.79284
.63054
.62057
.62061
.62064
9.79425
.79427
.79430
.79432
.63365
.62269
.62272
.62276
9.79572
.79574
.79577
.79579
.62477
.62480
.62484
.63487
9.79718
.79721
.79723
.79726
.62688
.62691
.62695
.63698
9.79864
.79867
.79869
.79872
.62899
.62902
.63906
.63909
12
11
10
9
+ 13'
53
54
55
9.79287
.79289
.79292
.79294
.62068
.62071
.62075
.62078
9.79434
.79437
.79439
.79442
.62279
.62283
.62287
.62290
9.79582
.79584
.79587
.79589
.63491
.63494
.63498
.62501
9.79728
.79731
.79733
.79735
.63703
.63706
.63709
.63713
9.79874
.79876
.79879
.79881
.63913
.62916
.63930
.63933
8
7
6
5
+ 14'
57
58
59
9.79297
.79299
.79301
.79304
.62082
.62086
.62089
.62093
9.79444
.79447
.79449
.79452
.62294
.62297
.62301
.63304
9.79591
.79594
.79596
.79599
.63505
.63508
.63513
.63515
9.79738
.79740
.79743
.79745
.63716
.62730
.62723
.63737
9.79884
.79886
.79888
.79891
.63937
.63930
.63934
.63937
4
3
2
1
+ 15'
9.79306
.62096
9.79454
.63308
9.79601
.63519
9.79748
.63730
9.79893
.62941
171
pn
17h
Sm
17^ 2m
nil
im
17h
Om
Page 128]
TABLE
IV.
Haversines.
s
7ft0ml05^(K 1
7h im 105° 15'
Ih 2m 105° 30'
r'i 5wi 105° 45' 1
lh4mlOQ°(/ 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.79893
.63941
9.80038
.63153
9.80183
.63363
9.80327
.63573
9.80470
.63783
60
1
.79896
.639M
.80041
.63155
.80185
.63365
.80329
.63576
.80472
.63785
59
2
.79898
.63948
.80043
.63159
.80188
.63369
.80331
.63579
.80474
.63789
58
3
.79901
.63951
.80046
.63163
.80190
.63373
.80334
.63583
.80477
.63793
51
+ 1'
9.79903
.63955
9.80048
.63166
9.80192
.63376
9.80336
.63586
9.80479
.63796
56
5
.79905
.63958
.80050
.63169
.80195
.63379 .80339 |
.63590
.80482
.63799
55
6
.79908
.63963
.80053
.63173
.80197
.63383
.80341
.63593
.80484
.63803
54
7
.79910
.63965
.80055
.63176
.80200
.63386
.80343
.63597
.80486
.63806
53
+ 2'
9.79913
.63969
9.80058
.63180
9.80202
.63390
9.80346
.63600
9.80489
.63810
52
9.
.79915
.63973
.80060
.63183
.80204
.63393
.80348
.63604
.80491
.63813
51
10
.79918
.63976
.80063
.63187
.80207
.63397
.80351
.63607
.80494
.63817
50
11
.79920
.63980
.80065
.63190
.80209
.63400
.80353
.63611
.80496
.63830
49
48
+ y
9.79922
.63983
9.80067
.63194
9.80212
.63404
9.80355
.63614
9.80498
.63834
IS
.79925
.63987
.80070
.63197
.80214
.63407
.80358
.63618
.80501
.63837
41
14
.79927
.63990
.80072
.63301
.80216
.63411
.80360
.63631
.80503
.63831
46
15
.79930
.63994
.80075
.63304
.80219
.63414
.80362
.63635
.80505
.63834
45
+ i'
9.79932
.63997
9.80077
.63308
9.80221
.63418
9.80365
.63638
9.80508
.63838
44
n
.79935
.63001
.80079
.63311
.80224
.63431
.80367
.63633
.80510
.63841
43
18
.79937
.63004
.80082
.63315
.80226
.63435
.80370
.63635
.80513
.63845
42
19
.79939
.63008
.80084
.63318
.80228
.63438
.80372
.63639
.80515
.63848
41
+ 5'
9.79942
.63011
9.80087
.63333
9.80231
.63433
9.80374
.63643
9.80517
.63853
40
21
.79944
.63015
.80089
.63335
.80233
.63435
.80377
.63646
.80520
.63855
39
22
.79947
.63018 .80091
.63339
.80236
.63439
.80379
.63649
.80522
.63859
38
23
.79949
.63033
.80094
.63333
.80238
.63443
.80382
.63653
.80524
.63863
31
36
+ 6'
9.79951
.63035
9.80096
.63336
9.80240
.63446
9.80384
.63656
9.80527
.63866
25
.79954
.63039
.80099
.63339
.80243
.63450
.80386
.63660
.80529
.63869
35
26
.79956
.63033
.80101
.63343
.80245
.63453
.80389
.63663
.80532
.63873
34
21
.79959
.63036
.80103
.63346
.80248
.63457
.80391
.63666
.80534
.63876
33
+ r
9.79961
.63039
9.80106
.63350
9.80250
.63460
9.80393
.63670
9.80536
.63880
32
29
.79964
.63043
.80108
.63353
.80252
.63464
.80396
.63673
.80539
.63883
31
30
.79966
.63046
.80111
.63357
.80255
.63467
.80398
.63677
.80541
.63887
30
31
.79968
.63050
.80113
.63360
.80257
.63471
.80401
.63680
.80543
.63890
29
+ 8^
9.79971
.63053
9.80116
.63364
9.80260
.63474
9.80403
.63684
9.80546
.63894
28
33
.79973
.63057
.80118
.63367
.80262
.63478
.80405
.63687
.80548
.63897
21
34
.79976
.63060
.80120
.63371
.80264
.63481
.80408
.63691
.80551
.63901
26
35
.79978
.63064
.80123
.63374
.80267
.63485
.80410
.63694
.80553
.63904
25
+ 9'
9.79980
.63067
9.80125
.63378
9.80269
.63488
9.80413
.63698
9.80555
.63908
24
31
.79983
.63071
.80128
.63381
.80272
.63493
.80415
.63701
.80558
.83911
23
38
.79985
.63074
.80130
.63385
.80274
.63495
.80417
.63705
.80560
.63915
22
39
.79988
.63078
.80132
.63388
.80276
.63499
.80420
.63708
.80562
.63918
21
+ W
9.79990
.63081
9.80135
.63393
9.80279
.63503
9.80422
.63713
9.80565
.63933
20
41
.79993
.63085
.80137
.63395
.80281
.63506
.80424
.63715
.80567
.63935
19
42
.79995
.63088
.80140
.63399
.80284
.63509
.80427
.63719
.80570
.63939
18
43
.79997
.63093
.80142
.63303
.80286
.63513
.80429
.63733
.80572
.63933
11
+ 11'
9.80000
.63095
9.80144
.63306
9.80288
.63516
9.80432
.63736
9.80574
.63936
16
45
.80002
.63099
.80147
.63309
.80291
.63530
.80434
.63739
.80577
.63939
15
46
.80005
.63103
.80149
.63313
.80293
.63533
.80436
.63733
.80579
.63943
14
41
.80007
.63106
.80152
.63316
.80296
.63537
.80439
.63736
.80581
.63946
13
+ 13'
9.80009
.63109
9.80154
.63330
9.80298
.63530
9.80441
.63740
9.80584
.63950
12
49
.80012
.63113! .80156
.63333
.80300
.63534
.80444
.63743
.80586
.63953
11
50
.80014
.63116
.80159
.63337
.80303
.63537
.80446
.63747
.80589
.63957
10
51
.80017
.63130
.80161
.63330
.80305
.63541
.80448
.63750
.80591
.63960
9
+ 13^
9.80019
.63133
9.80164
.63334
9.80307
.63544
9.80451
.63754
9.80593
.63964
8
53
.80022
.63137
.80166
.63337
.80310
.63548
.80453
.63757
.80596
.63967
1
54
.80024
.63131
.80168
.63341
.80312
.63551
.80455
.63761
.80598
.63971
6
55
.80026
.63134
.80171
.63344
.80315
.63555
.80458
.63764
.80600
.63974
5
+ W
9.80029
.63138
9.80173
.63348
9.80317
.63558
9.80460
.63768
9.80603
.63977
4
51
.80031
.63143
.80176
.63351
.80319
.63563
.80463
.63771
.80605
.63981
3
58
.80034
.63145
.80178
.63355
.80322
.63565
.80465
.63775
.80607
.63984
2
59
.80036
.63148
.80180
.63358
.80324
.63569
.80467
.63778
.80610
.63988
1
+ 15'
9.80038
.63153
9.80183
.63363
9.80327
.63573
9.80470
.63783
9.80612
.63991
16h
59m
16h
58m j I6fi
57771
16h 56m
16h 55m
TABLE IV.
Haversines.
[Page 129
7h sm 106° 15'
7h em 106° W
7h 7m 106° 45''
7ft sm 107° 0'
7h 9m 107° 15'
3
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav
1
2
S
9.80612
.80615
.80617
.80619
.63991
.63995
.63998
.64002
9.80754
.80756
.80759
.80761
.64201
.64204
.64208
.64211
9.80895
.80898
.80900
.80902
.64410
.64413
.64417
.&1420
9.81036
.81038
.81040
.81043
.64619
.64622
.64626
.64629
9.81176
.81178
.81180
.81183
.64827
.64831
.64834
.64838
60
59
58
57
+ r
5
6
7
9.80622
.80624
.80626
.80629
.64005
.64009
.64012
.64016
9.80763
.80766
.80768
.80771
.64215
.64218
.64222
.64225
9.80905
.80907
.80909
.80912
.64424
.64427
.64431
.64434
9.81045
.81047
.81050
.81052
.64632
.64636
.64639
.64643
9.81185
.81187
.81190
.81192
.64841
,64844
.64848
.64851
56
55
54
53
52
51
50
49
+ r
9
10
11
9.80631
.80634
.80636
.80638
.64019
.64023
.64026
.64030
9.80773
.80775
.80778
.80780
.64229
.64232
.64236
.64239
9.80914
.80916
.80919
.80921
.64438
.64441
.64445
.64448
9.81054
.81057
.81059
.81061
.64646
.64650
.64653
.64657
9.81194
.81197
.81199
.81201
.64855
.64858
.64862
.64865
+ 3'
13
14
15
9.80641
.80643
.80645
.80648
.64033
.64037
.64040
.64044
9.80782
.80785
.80787
.80789
.64343
.64246
.64250
.64253
9.80923
.80926
.80928
.80930
.64452
.64455
.64459
.64462
9.81064
.81066
.81068
.81071
.64660
.64664
.64667
.64671
9.81204
.81206
.81208
.81211
.64869
.64872
.64876
.64879
48
47
46
45
44
43
42
41
+ 4'
17
18
19
9.80650
.80652
.80655
.80657
.64047
.64051
.64054
.64058
9.80792
.80794
.80706
.80799
.64257
.64260
.64264
.64267
9.80933
.80935
.80937
.80940
.64466
.64469
.64472
.64476
.81073
.81075
.81078
.81080
.64674
.64678
.64681
.64685
9.81213
.81215
.81217
.81220
.64883
.64886
.64890
.64893
+ 5"
21
22
23
9.80660
.80662
.80664
.80667
.64061
.64065
.64068
.64072
9.80801
.80804
.80806
.80808
.64270
.64274
.64277
.64281
9.80942
.80944
.80947
.80949
.64479
.64483
.64486
.64490
9.81082
.81085
.81087
.81089
.64688
.64692
.64695
.64699
9.81222
.81224
.81227
.81229
.64897
.64900
.64903
.64907
40
39
38
37
+ 6'
25
26
27
9.80669
.80671
.80674
.80676
.64075
.64079
.64082
.64086
9.80811
.80813
.80815
.80818
.64284
.64288
.64291
.64295
9.80952
.80954
.80956
.80959
.64493
.64497
.64500
.64504
9.81092
.81094
.81096
.81099
.64702
.64705
.64709
.64712
9.81231
.81234
.81236
.81238
.64910
.64914
.64917
.64921
36
35
34
S3
+ r
29
30
31
9.80678
.80681
.80683
.80686
.64089
.64093
.64096
.64100
9.80820
.80822
.80825
.80827
.64298
.64302
.64305
.64309
9.80961
.80963
.80966
.80968
.64507
.64511
.64514
.64518
9.81101
.81103
.81106
.81108
.64716
.64719
.64723
.64726
9.81241
.81243
.81245
.81248
.64924
.64928
.64931
.64935
32
31
30
29
28
27
26
25
+ 8^
33
34
35
9.80688
.80690
.80693
.80695
.64103
.64107
.64110
.64114
9.80829
.80832
.80834
.80836
.64312
.64316
.64319
.64323
9.80970
.80973
.80975
.80977
.64521
.64525
.64528
.64532
9.81110
.81113
.81115
.81117
.64730
.64733
.64737
.64740
9.81250
.81252
.81255
.81257
.64938
.61942
.64945
.64949
+ 9"
37
38
39
9.80697
.80700
.80702
.80704
.64117
.64121
.64124
.64128
9.80839
.80841
.80844
.80846
.64326
.64330
.64333
.64337
9.80980
.80982
.80984
.80987
.64535
.64539
.64542
.64546
9.81120
.81122
.81124
.81127
.64744
.64747
.64751
.64754
9.81259
.81262
.81264
.81266
.64952
.64956
.64959
.64962
24
23
22
21
+ W
41
42
43
9.80707
.80709
.80712
.80714
.64131
.64135
.64138
.64142
9.80848
.80851
.80853
.80855
.64340
.64344
.64347
.64351
9.80989
.80991
.80994
.80996
.64549
.64552
.64556
.64559
9.81129
.81131
.81134
.81136
.64758
.64761
.64765
.64768
9.81269
.81271
.81273
.81276
.64966
.64969
.64973
.64976
20
19
18
17
+ ir
45
46
47
9.80716
.80719
.80721
.80723
.64145
.64148
.64152
.64155
9.80858
.80860
.80862
.80865
.64354
.64358
.64361
.64365
9.80998
.81001
.81003
.81005
.64563
.64566
.64570
.64573
9.81138
.81141
.81143
.81145
.64772
.64775
.64778
.64782
9.81278
.81280
.81282
.81285
.64980
.64983
.64987
.64990
16
15
14
IS
+ ir
49
50
51
9.80726
.80728
.80730
.80733
.64159
.64162
.64166
.64169
9.80867
.80869
.80872
.80874
.64368
.64372
.64375
.64378
9.81008
.81010
.81012
.81015
.G4577
.64580
.64584
.64587
9.81148
.81150
.81152
.81155
.64785
.64789
.64792
.64796
9.81287
.81289
.81292
.81294
.64994
.64997
.65001
.65004
12
11
10
9
+ W
53
54
55
9.80735
.80738
.80740
.80742
.64173
.64176
.64180
.64183
9.80876
.80879
.80881
.80883
.64382
.64385
.64389
.64392
9.81017
.81019
.81022
.81024
.64591
.64594
.64598
.64601
9.81157
.81159
.81162
.81164
.64799
.64803
.64806
.64810
9.81296
.81299
.81301
.81303
.65008
.65011
.65014
.65018
8
7
6
5
+ W
57
58
59
9.80745
.80747
.80749
.80752
.64187
.64190
.64194
.64197
9.80886
.80888
.80891
.80893
.64396
.64399
.64403
.64406
9.81026
.81029
.81031
.81033
.64605
.64608
.64612
.64615
9.81166
.81169
.81171
.81173
.64813
.64817
.64820
.64824
9.81306
.81308
.81310
.81313
.65021
.65025
.65028
.65032
4
3
2
1
+ W
9.80754
.64201
9.80895
.64410
9.81036
.64619
9.81176
.64827
9.81315
.65035
16^.
S4m
16^
53m
16h
5^771
16h 5im 1
16h 50m 1
55901°-
Page 130] TABLE IV.
Haversinea.
8
7A lOm 107° 30'
7h iim 107° 45'
7h 12m 108° 0'
7h 13m 108° 15'
7h 14m 108° W
8
Log. nav
Nat. Hav
Log. Hav.
Nat. Hav
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
1
2
3
9.81315
.81317
.81320
.81322
.65035
.65039
.65042
.65046
9.81454
.81456
.81458
.81460
.65243
.65247
.65250
.65254
9.81592
.81594
.81596
.81598
.65451
.65454
.65458
.65461
9.81729
.81731
.81733
.81736
.65658
.65662
.65665
.65668
9.81866
.81868
.81870
.81872
.65865
.65869
.65872
.65876
60
59
58
57
+ r
5
6
7
9.81324
.81326
.81329
.81331
.65049
.65053
.65056
.65060
9.81463
.81465
.81467
.81470
.65257
.65261
.65264
.65267
9.81601
.81603
.81605
.81608
.65465
.65468
.65472
.65475
9.81738
.81740
.81743
.81745
.65672
.65675
.65679
.65682
9.81875
.81877
.81879
.81882
.65879
.65882
.65886
.65889
56
55
54
53
+ r
9
10
11
9.81333
.81336
.81338
.81340
.65063
.65066
.65070
.65073
9.81472
.81474
.81477
.81479
.65271
.65274
.65278
.65281
9.81610
.81612
.81614
.81617
.65479
.65482
.65485
.65489
9.81747
.81749
.81752
.81754
.65686
.65689
.65693
.65696
9.81884
.81886
.81888
.81891
.65893
.65896
.65900
.65903
52
51
50
49
+ 3'
13
14
15
9.81343
.81345
.81347
.81350
.65077
.65080
.65084
.65087
9.81481
.81483
.81486
.81488
.65285
.65288
.65292
.65295
9.81619
.81621
.81624
.81626
.65492
.65496
.65499
.65503
9.81756
.81759
.81761
.81763
.65700
.65703
.65707
.65710
9.81893
.81895
.81897
.81900
.65907
.65910
.65914
.65917
48
47
46
45
44
43
42
41
+ i'
17
18
19
9.81352
.81354
.81357
.81359
.65091
.65094
.65098
.65101
9.81490
.81493
.81495
.81497
.65299
.65302
.65306
.65309
9.81628
.81631
.81633
.81635
.65506
.65510
.65513
.65516
9.81765
.81768
.81770
.81772
.65713
.65717
.65720
.65724
9.81902
.81904
.81907
.81909
.65920
.65924
.65927
.65931
-f 5'
21
22
23
9.81361
.81364
.81366
.81368
.65105
.65108
.65112
.65115
9.81500
.81502
.81505
.81507
.65312
.65316
.65319
.65323
9.81637
.81640
.81642
.81644
.65520
.65523
.65527
.65530
9.81775
.81777
.81779
.81781
.65727
.65731
.65734
.65738
9.81911
.81913
.81916
.81918
.65934
.65938
.65941
.65944
40
39
38
37
+ 6'
25
26
27
9.81370
.81373
.81375
.81377
.65118
.65122
.65125
.65129
9.81509
.81511
.81513
.81516
.65326
.65330
.65333
.65337
9.81647
.81649
.81651
.81653
.65534
.65537
.65541
.65544
9.81784
.81786
.81788
.81791
.65741
.65744
.65748
.65751
9.81920
.81922
.81925
.81927
.65948
.65951
.65955
.65958
36
35
34
S3
S2
31
SO
29
28
27
26
25
24
23
22
21
+ r
29
30
31
9.81380
.81382
.81384
.81387
.65132
.65136
.65139
.65143
9.81518
.81520
.81523
.81525
.65340
.65344
.65347
.65351
9.81656
.81658
.81660
.81663
.65548
.65551
.65555
.65558
9.81793
.81795
.81797
.81800
.65755
.65758
.65762
.65765
9.81929
.81931
.81934
.81936
.65962
.65965
.65969
.65972
+ 8'
33
34
35
9.81389
.81391
.81394
.81396
.65146
.65150
.65153
.65157
9.81527
.81530
.81532
.81534
.65354
.65357
.65361
.65364
9.81665
.81667
.81669
.81672
.65561
.65565
.65568
.65572
9.81802
.81804
.81806
.81809
.65769
.65772
.65776
.65779
9.81938
.81941
.81943
.81945
.65976
.65979
.65982
.65986
+ 9'
37
38
39
9.81398
.81400
.81403
.81405
.65160
.65164
.65167
.65171
9.81536
.81539
.81541
.81543
.6536S
.65372
.65375
.65378
9.81674
.81676
.81679
.81681
.65575
.65579
.65582
.65586
9.81811
.81813
.81816
.81818
.65782
.65786
.65789
.65793
9.81947
.81950
.81952
.81954
.65989
.65993
.65996
.66000
+ W
41
42
43
9.81407
.81410
.81412
.81414
.65174
.65177
.65181
.65184
9.81546
.81548
.81550
.81552
.65382
.65385
.65389
.65392
9.81683
.81685
.81688
.81690
.65589
.65593
.65596
.65599
9.81820
.81822
.81825
.81827
.65796
.65800
.65803
.65807
9.81956
.81959
.81961
.81963
.66003
.66006
.66010
.66013
20
19
18
17
+ 11'
45
46
47
9.81417
.81419
.81421
.81424
.65188
.65191
.65195
.65198
9.81555
.81557
.81559
.81562
.65396
.65399
.65402
.65406
9.81692
.81695
.81697
.81699
.65603
.65606
.65610
.65613
.81829
.81832
.81834
.81836
.65810
.65813
.65817
.65820
9.81965
.81968
.81970
.81972
.66017
.66020
.66024
.66027
16
15
14
13
+ 12'
49
50
51
9.81426
.81428
.81430
.81433
.65202
.65205
.65209
.65212
9.81564
.81566
.81569
.81571
.65409
.65413
.65416
.65420
9.81701
.81704
.81706
.81708
.65617
.65620
.65624
.65627
9.81838
.81841
.81843
.81845
.65824
.65827
.65831
.65834
9.81975
.81977
.81979
.81981
.66031
.66034
.66038
.66041
12
11
10
9
+ 13'
53
54
55
9.81435
.81437
.81440
.81442
.65216
.65219
.65222
.65226
9.81573
.81575
.81578
.81580
.65423
.65427
.65430
.65434
9.81711
.81713
.81715
.81717
.65630
.65634
.65637
.65641
9.81847
.81850
.81852
.81854
.65838
.65841
.65845
.65848
9.81984
.81986
.81988
.81990
.66044
.66048
.66051
.66055
8
7
6
5
4
3
2
1
+ 14'
57
58
59
9.81444
.81447
.81449
.81451
.65229
.65233
.65236
.65240
9.81582
.81585
.81587
.81589
.65437
.65440
.65444
.65447
9.81720
.81722
.81724
.81727
.65644
.55648
.65651
.65655
9.81857
.81859
.81861
.81863
.65851
.65855
.65858
.65862
9.81993
.81995
.81997
.81999
.66058
.66062
.66065
.66068
+ 15'
9.81454
.65243
9.81592
.65451
9.81729
.65658
9.81866
.65865
9.82002
.66072
16h 49^
16^ 48m 1
16h 47m 1
16h 46^ 1
ifih 45771
TABLE IV. [Page 131
Haversines.
s
7h 15m 108° 45'
7h 16m 109° 0'
7h 17m 109° 15'
7A 18m 109° 3^
7h 19m 109° 4^ 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.82002
.82004
.82006
.82009
.66073
.66075
.66079
.66082
9.82137
.82139
.82142
.82144
.66278
.66282
.66385
.66289
9.82272
.82274
.82277
.82279
.66485
.66488
.66491
.66495
9.82406
.82409
.82411
.82413
.66690
.66694
.66697
.66701
9.82540
.82542
.82544
.82547
.66896
.66899
.66903
.66906
60
59
58
57
+ r
5
6
7
9.82011
.82013
.82015
.82018
.66086
.66089
.66093
.66096
9.82146
.82148
.82151
.82153
.66293
.66396
.66299
.66302
9.82281
.82283
.82286
.82288
.66498
.66502
.66505
.66508
9.82415
.82417
.82420
.82422
.66704
.66707
.66711
.66714
9.82549
.82551
.82553
.82555
.66910
.66913
.66916
.66920
56
55
54
53
52
51
50
49
+ 2^
9
10
11
9.82020
.82022
.82024
.82027
.66100
.66103
.66106
.66110
9.82155
.82157
.82160
.82162
.66306
.66309
.66313
.66316
9.82290
.82292
.82294
.82297
.66512
.66515
.66519
.66522
9.82424
.82426
.82429
.82431
.66718
.66731
.66735
.66738
9.82558
.82560
.82562
.82564
.66923
.66927
.66930
.66933
+ 3'
IS
14
15
9.82029
.82031
.82033
.82036
.66113
.66117
.66120
.66134
9.82164
.82166
.82169
.82171
.66320
.66333
.66327
.66330
9.82299
.82301
.82303
.82306
.66526
.66529
.66533
.66536
9.82433
.82435
.82438
.82440
.66731
.66735
.66738
.66742
9.82567
.82569
.82571
.82573
.66937
.66940
.66944
.66947
48
47
46
45
44
43
42
41
+ 4'
17
18
19
9.82038
.82040
.82042
.82045
.66137
.66130
.66134
.66137
9.82173
.82175
.82178
.82180
.66333
.66337
.66340
.66344
9.82308
.82310
.82312
.82315
.66539
.66543
.66546
.66550
9.82442
.82444
.82446
.82449
.66745
.66749
.66752
.66755
9.82575
.82578
.82580
.82582
.66951
.66954
.66957
.66961
4- 5'
21
22
23
9.82047
.82049
.82051
.82054
.66141
.66144
.66148
.66151
9.82182
.82184
.82187
.82189
.66347
.66351
.66354
.66357
9.82317
.82319
.82321
.82324
.66553
.66557
.66560
.66563
9.82451
.82453
.82455
.82458
.66759
.66762
.66766
.66769
9.82584
.82587
.82589
.82591
.66964
.66968
.66971
.66975
40
39
38
37
+ 6^
25
26
27
9.82056
.82058
.82061
.82063
.66155
.66158
.66161
.66165
9.82191
.82193
.82196
.82198
.66361
.66364
.66368
.66371
9.82326
.82328
.82330
.82333
.66567
.66570
.66574
.66577
9.82460
.82462
.82464
.82467
.66773
.66776
.66779
.66783
9.82593
.82595
.82598
.82600
.66978
.66981
.66985
.66988
36
35
34
33
+ r
29
SO
31
9.82065
.82067
.82070
.82072
.66168
.66173
.66175
.66179
9.82200
.82202
.82205
.82207
.66375
.66378
.66382
.66385
9.82335
.82337
.82339
.82341
.66581
.66584
.66587
.66591
9.82469
.82471
.82473
.82475
.66786
.66790
.66793
.66797
9.82602
.82604
.82606
.82609
.66992
.66995
.66998
.67002
.67005
.67009
.67012
.67016
32
31
30
29
28
27
26
25
+ 8'
33
34
35
9.82074
.82076
.82079
.82081
.66183
.66186
.66189
.66193
9.82209
.82211
.82214
.82216
.66388
.66392
.66395
.66399
9.82344
.82346
.82348
.82350
.66594
.66598
.66601
.66605
9.82478
.82480
.82482
.82484
.66800
.66803
.66807
.66810
9.82611
.82613
.82615
.82618
+ ^
37
38
39
9.82083
.82085
.82088
.82090
.66196
.66199
.66303
.66306
9.82218
.82220
.82223
.82225
.66402
.66406
.66409
.66412
9.82353
.82355
.82357
.82359
.66608
.66611
.66615
.66618
9.82487
.82489
.82491
.82493
.66814
.66817
.66821
.66824
9.82620
.82622
.82624
.82627
.67019
.67022
.67036
.67029
24
23
22
21
+ w
41
42
43
9.82092
.82094
.82097
.82099
.66310
.68313
.66317
.66330
9.82227
.82229
.82232
.82234
.66416
.66419
.66423
.66426
9.82362
.82364
.82366
.82368
.66622
.66625
.66629
.66632
9.82495
.82498
.82500
.82502
.66827
.66831
.66834
.66838
9.82629
.82631
.82633
.82635
.67033
.67036
.67039
.67043
20
19
18
17
16
15
14
13
+ ir
45
46
47
9.82101
.82103
.82106
.82108
.66333
.66337
.66330
.66334
9.82236
.82238
.82241
.82243
.66430
.66433
.66436
.66440
9.82371
.82373
.82375
.82377
.66635
.66639
.66642
.66646
9.82504
.82507
.82509
.82511
.66841
.66844
.66848
.66851
9.82638
.82640
.82642
.82644
.67046
.67050
.67053
.67057
+ ir
49
50
51
9.82110
.82112
.82115
.82117
.66337
.66341
.66344
.66347
9.82245
.82247
.82250
.82252
.66443
.66447
.66450
.66454
9.82380
.82382
.82384
.82386
.66649
.66653
.66656
.66659
9.82513
.82515
.82518
.82520
.66855
.66858
.66863
.66865
9.82646
.82649
.82651
.82653
.67060
.67063
.67067
.67070
12
11
10
9
+ 13'
53
54
65
9.82119
.82121
.82124
.82126
.66351
.66354
.66358
.66361
9.82254
.82256
.82259
.82261
.66457
.66460
.66464
.66467
9.82388
.82391
.82393
.82395
.66663
.66666
.66670
.66673
9.82522
.82524
.82527
.82529
.66868
.66872
.06875
.66879
9.82655
.82657
.82660
.82662
.67074
.67077
.67081
.67084
8
7
6
5
+ W
57
68
59
9.82128
.82130
.82133
.82135
.66265
.66368
.66372
.66275
9.82263
.82265
.82268
.82270
.66471
.66474
.66478
.66481
9.82397
.82400
.82402
.82404
.66677
.66680
.66683
.66687
9.82531
.82533
.82535
.82538
.G6882
.G6886
.66889
.66892
9.82664
.82666
.82668
.82671
.67087
.67091
.67094
.67098
4
3
2
i
+ 15'
9.82137
.66378
9.82272
.66485
9.82406
.66690
9.82540
.66896
9.82673
.67101
16h44m
16^4Sm
16h 42m
16h 4im
16h40m
Page 132] TABLE IV.
Haversines.
s
7ft 20m 110° 0'
7A 21^ 110° 15'
7A 22^ 110° 30'
7ft 23m 110° 45'
7ft 24'^ 111° 0'
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.82673
.82675
.82677
.82680
.67101
.67104
.67108
.67111
9.82805
.82807
,82810
.82812
.67306
.67309
.67313
.67316
9.82937
.82939
.82941
.82944
.67510
.67514
.67517
.67521
9.83068
.83070
.83073
.83075
.67715
.67718
.67721
.67725
9.83199
.83201
.83203
.83205
.67918
.67922
.67925
.67929
60
59
58
57
+ 1'
5
6
7
9.82682
.82684
.82686
.82688
.67115
.67118
.67123
.67125
9.82814
.82816
.82818
.82821
.67320
.67323
.67326
.67330
9.82946
.82948
.82950
.82952
.67524
.67527
.67531
.67534
9.83077
.83079
.83081
.83083
.67728
.67732
.67735
.67738
9.83207
.83210
.83212
.83214
.67932
.67935
.67939
.67942
56
55
54
53
+ V
9
10
11
9.82691
.82693
.82695
.82697
.67128
.67132
.67135
.67139
9.82823
.82825
.82827
.82829
.67333
.67337
.67340
.67343
9.82955
.82957
.82959
.82961
.67538
.67541
.67544
.67548
9.83086
.83088
.83090
.83092
.67743
.67745
.67749
.67753
9.83216
.83218
.83220
.83223
.67946
.67949
.67952
.67956
52
51
50
49
48
47
46
45
44
43
42
41
+ 3'
13
14
15
9.82699
.82702
.82704
.82706
.67142
.67145
.67149
.67152
9.82832
.82834
.82836
.82838
.67347
.67350
.67354
.67357
9.82963
.82966
.82968
.82970
.67551
.67555
.67558
.67561
9.83094
.83097
.83099
.83101
.67755
.67759
.67762
.67766
9.83225
.83227
.83229
.83231
.67959
.67963
.67966
.67989
+ 4'
19
9.82708
.82710
.82713
.82715
.67156
.67159
.67163
.67166
9.82840
.82843
.82845
.82847
.67360
.67364
.67367
.67371
9.82972
.82974
.82976
.82979
.67565
.67568
.67572
.67575
9.83103
.83105
.83107
.83110
.67769
.67772
.67776
.67779
9.83233
.83236
.83238
.83240
.67973
.67976
.67979
.67983
+ 5'
;?5
9.82717
.82719
.82722
.82724
.67169
.67173
.67176
.67180
9.82849
.82851
.82854
.82856
.67374
.67377
.67381
.67384
9.82981
.82983
.82985
.82987
.67578
.67583
.67585
.67589
9.83112
.83114
.83116
.83118
.67783
.67786
.67789
.67793
9.83242
.83244
.83246
.83249
.67986
.67990
.67993
.67996
40
39
38
37
+ 6'
25
26
21
9.82726
.82728
.82730
.82733
.67183
.67186
.67190
.67193
9.82858
.82860
.82862
.82865
.67388
.67391
.67395
.67398
9.82990
.82992
.82994
.82996
.67592
.67595
.67599
.67602
9.83120
.83123
.83125
.83127
.67796
.67800
.67803
.67806
9.83251
.83253
.83255
.83257
.68000
.68003
.68007
.68010
36
35
34
S3
+ r
29
30
31
9.82735
.82737
.82739
.82741
.67197
.67200
.67203
.67207
9.82867
.82869
.82871
.82873
.67401
.67405
.67408
.67412
9.82998
.83001
.83003
.83005
.67606
.67609
.67613
.67616
9.83129
.83131
.83134
.83136
.67810
.67813
.67817
.67820
9.83259
.83262
.83264
.83266
.68013
.68017
.68020
.68034
32
31
30
29
+ 8'
33
34
35
9.82744
.82746
.82748
.82750
.67210
.67214
.67217
.67221
9.82876
.82878
.82880
.82882
.67415
.67418
.67422
.67425
9.83007
.83009
.83011
.83014
.67619
.67623
.67636
.67630
9.83138
.83140
.83142
.83144
.67823
.67837
.67830
.67834
9.83268
.83270
.83272
.83275
.68027
.68030
.68034
.68037
28
27
26
25
24
23
22
21
+ 9^
31
38
39
9.82752
.82755
.82757
.82759
.67224
.67227
.67231
.67234
9.82884
.82887
.82889
.82891
.67429
.67432
.67435
.67439
9.83016
.83018
.83020
.83022
.67633
.67636
.67640
.67643
9.83147
.83149
.83151
.83153
.67837
.67840
.67844
.67847
9.83277
.83279
.83281
.83283
.68041
.68044
.68047
.68051
+ W
41
42
43
9.82761
.82763
.82766
.82768
.67238
.67241
.67244
.67248
9.82893
.82895
.82898
.82900
.67442
.67446
.67449
.67452
9.83025
.83027
.83029
.83031
.67647
.67650
.67653
.67657
9.83155
.83157
.83160
.83162
.67850
.67854
.67857
.67861
9.83285
.83288
.83290
.83292
.68054
.68058
.68061
.68064
20
19
18
17
+ 11'
45
46
41
9.82770
.82772
.82774
.82777
.67251
.67355
.67258
.67261
9.82902
.82904
.82906
.82909
.67456
.67459
.67463
.67466
9.83033
.83035
.83038
.83040
.67660
.67664
.67667
.67670
9.83164
.83166
.83168
.83170
.67864
.67868
.67871
.67874
9.83294
.83296
.83298
.83301
.68068
.68071
.68074
.68078
16
15
14
13
+ 12'
49
50
51
9.82779
.82781
.82783
.82785
.67265
.67268
.67272
.67275
9.82911
.82913
.82915
.82917
.67469
.67473
.67476
.67480
9.83042
.83044
.83046
.83049
.67674
.67677
.67681
.67684
9.83173
.83175
.83177
.83179
.67878
.67881
.67884
.67888
9.83303
.83305
.83307
.83309
.68081
.68085
.68088
.68091
12
11
10
9
+ 13'
53
54
55
9.82788
.82790
.82792
.82794
.67279
.67282
.67285
.67289
9.82920
.82922
.82924
.82926
.67483
.67487
.67490
.67493
9.83051
.83053
.83055
.83057
.67687
.67691
.67694
.67698
9.83181
.83184
.83186
.83188
.67891
.67895
.67898
.67901
9.83311
.83314
.83316
.83318
.68095
.68098
.68103
.68105
8
7
6
5
+ U'
51
58
59
9.82796
.82799
.82801
.82803
.67392
.67296
.67299
.67302
9.82928
.82930
.82933
.82935
.67497
.67500
.67504
.67507
9.83059
.83062
.83064
.83066
.67701
.67704
.67708
.67711
9.83190
.83192
.83194
.83197
.67905
.67908
.67913
.67915
9.83320
.83322
.83324
.83327
.68108
.68112
.68115
.68119
4
3
2
1
+ 15'
9.82805
.67306
9.82937
.67510
9.83068
.67715
9.83199
.67918
9.83329
.68122
16h S9m
16^ 38m 1
16h 37m 1
IG^Serr^ j 16^35^ |
TABLE IV. [Page 133
Haversines.
s
7ft 25m 111° 15'
7ft 26rn 111° 30'
7ft 27m 111° 45' 1
7ft ggm 112° C
7ft 29m 112° 15'
s
Log. nav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.83329
.83331
.83333
.83335
.68133
.68135
.68129
.68133
9.83458
.83460
.83462
.83464
.68335
.68328
.68332
.68335
9.83587
.83589
.83591
.83593
.68538
.68531
.68535
.68538
9.83715
.83717
.83719
.83721
.68730
.68734
.68737
.68740
9.83842
.83844
.83847
.83849
.68933
.68936
.68939
.68943
60
59
58
57
56
65
54
53
52
51
50
49
+ r
5
6
7
9.83337
.83339
.83342
.83344
.68135
.68139
.68143
.68146
9.83467
.83469
.83471
.83473
.68339
.68343
.68345
.68349
9.83595
.83597
.83600
.83602
.68541
.68545
.68548
.68552
9.83723
.83725
.83728
.83730
.68744
.68747
.68751
.68754
9.83851
.83853
.83855
.83857
.68946
.68949
.68953
.68956
+ V
9
10
11
9.83346
.83348
.83350
.83352
.68149
.68153
.68156
.68159
9.83475
.83477
.83480
.83482
.68353
.68356
.68359
.68362
9.83604
.83606
.83608
.83610
.68555
.68558
.68562
.68565
9.83732
.83734
.83736
.83738
.68757
.68761
.68764
.68767
9.83859
.83861
.83864
.83866
.68959
.68963
.68966
.68969
+ 3'
IS
14
15
9.83355
.83357
.83359
.83361
.68163
.68166
.68169
.68173
9.83484
.83486
.83488
.83490
.68366
.68369
.68372
.68376
9.83612
.83615
.83617
.83619
.68568
.68572
.68575
.68579
9.83740
.83743
.83745
.83747
.68771
.68774
.68778
.68781
9.83868
.83870
.83872
.83874
.68973
.68976
.68980
.68983
48
47
46
45
44
43
42
41
40
39
38
37
+ 4'
17
18
19
9.83363
.83365
.83368
.83370
.68176
.68180
.68183
.68186
9.83492
.83495
.83497
.83499
.68379
.68383
.68386
.68389
9.83621
.83623
.83625
.83627
.68583
.68585
.68589
.68593
9.83749
.83751
.83753
.83755
.68784
.68788
.68791
.68794
9.83876
.83878
.83881
.83883
.68986
.68990
.68993
.68996
+ 5'
21
22
23
9.83372
.83374
.83376
.83378
.68190
.68193
.68196
.68200
9.83501
.83503
.83505
.83507
.68393
.68396
.68399
.68403
9.83630
.83632
.83634
.83636
.68595
.68599
.68603
.68606
9.83757
.83760
.83762
.83764
.68798
.68801
.68804
.68808
9.83885
.83887
.83889
.83891
.69000
.69003
.69006
.69010
+ 6'
25
26
27
9.83380
.83383
.83385
.83387
.68303
.68307
.68210
.68313
9.83510
.83512
.83514
.83516
.68406
.68410
.68413
.68416
9.83638
. .83640
.83642
.83644
.68609
.68612
.68616
.68619
9.83766
.83768
.83770
.83772
.68811
.68815
.68818
.68831
9.83893
.83895
.83897
.83900
.69013
.69017
.69030
.69033
36
35
34
33
+ r
29
30
31
9.83389
.83391
.83393
.83396
.68217
.68220
.68224
.68227
9.83518
.83520
.83522
.83525
.68420
.68423
.68427
.68430
9.83647
.83649
.83651
.83653
.68632
.68626
.68629
.68633
9.83774
.83777
.83779
.83781
.68835
.68828
.68831
.68835
9.83902
.83904
.83906
.83908
,69037
.69030
.69033
.69037
32
31
30
29
+ 8^
33
34
35
9.83398
.83400
.83402
.83404
.68330
.68334
.68337
.68240
9.83527
.83529
.83531
.83533
.68433
.68437
.68440
.68443
9.83655
.83657
.83659
.83662
.68636
.68639
.68643
.68646
9.83783
.83785
.83787
.83789
.68838
.68843
.68845
.68848
9.83910
.83912
.83914
.83916
.69040
.69044
.69047
.69050
28
27
26
25
+ 9'
37
38
39
9.83406
.83409
.83411
.83413
.68244
.68247
.68251
.68254
9.83535
.83537
.83540
.83542
.68447
.68450
.68454
.68457
9.83664
.83666
.83668
.83670
.68649
.68653
.68656
.68660
9.83791
.83794
.83796
.83798
.68853
.68855
.68858
.68863
9.83919
.83921
.83923
.83925
.69054
.69057
.69060
.69064
24
23
22
21
41
42
43
9.83415
.83417
.83419
.83421
.68257
.68261
.68264
.68268
9.83544
.83546
.83548
.83550
.68460
.68464
.68467
.68470
9.83672
.83674
.83676
.83679
.68663
.68666
.68670
.68673
9.83800
.83802
.83804
.83806
.68865
.68869
.68872
.68875
9.83927
.83929
.83931
.83933
.69067
.69070
.69074
.69077
20
19
18
17
45
46
47
9.83424
.83426
.83428
.83430
.68271
.68374
.68278
.68281
9.83552
.83555
.83557
.83559
.68474
.68477
.68481
.68484
9.83681
.83683
.83685
.83687
.68676
.68680
.68683
.68687
9.83808
.83811
.83813
.83815
.68879
.68882
.68885
.68889
9.83935
.83938
.83940
.83942
.69080
.69084
.69087
.69091
16
15
14
13
+ ir
49
50
51
9.83432
.83434
.83436
.83439
.68284
.68288
.68291
.68295
9.83561
.83563
.83565
.83567
.68487
.68491
.68494
.68497
9.83689
.83691
.83694
.83696
.68690
.68693
.68697
.68700
9.83817
.83819
.83821
.83823
.68892
.68895
.68899
.68902
9.83944
.83946
.83948
.83950
.69094
.69097
.69101
.69104
12
11
10
9
+ 13^
53
54
55
9.83441
.83443
.83445
.83447
.68398
.68301
.68305
.68308
9.83570
.83572
.83574
.83576
.68501
.68504
.68508
.68511
9.83698
.83700
.83702
.83704
.68703
.68707
.68710
.68713
9.83825
.83828
.83830
.83832
.68906
.68909
.68912
.68916
9.83952
.83955
.83957
.83959
.69107
.69111
.69114
.69117
8
7
6
5
+ W
57
58
59
9.83449
.83452
.83454
.83456
.68313
.68315
.68318
.68333
9.83578
.83580
.83582
.83585
.68515
.68518
.68521
.68525
9.83706
.83708
.83711
.83713'
.68717
.68720
.68724
.68727
.68730
9.83834
.83836
.83838
.83840
.68919
.68923
.68936
.68939
9.83961
.83963
.83965
.83967
.69121
.69134
.69137
.69131
4
3
2
1
_
+ 15^
9.83458
.68335
9.83587
.68528
9.83715
9.83842
.68933
9.83969
.69134
16^ 34'^
16^ 33m
16h 32^
^6ft Sim
le^som
Page 134] TABLE IV.
Haversinee.
s
7ft ^aw 112° 30'
7h. Sim 113° 45^ | 7h 32^ 113° C |
7h 33m 113° 15'
7ft S4m 113° 30' |
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.83969
.83971
.83974
.83976
.69134
.69138
.69141
.69144
9.84096
.84098
.84100
.84102
.69336
.69339
.69343
.69346
9.84221
.84223
.84226
.84228
.69537
.69540
.69543
.69547
9.84346
.84349
.84351
.84353
.69737
.69741
.69744
.69747
9.84471
.84473
.84475
.84477
.69937
.69941
.69944
.69947
60
59
58
57
+ r
5
6
7
9.83978
.83980
.83982
.83984
.69148
.69151
,69154
.69158
9.84104
.84106
.84108
.84110
.69349
.69353
.69356
.69359
9.84230
.84232
.84234
.84236
.69550
.69553
.69557
.69560
9.84355
.84357
.84359
.84361
.69751
.69754
.69757
.69761
9.84479
.84481
.84483
.84485
.69951
.69954
.69957
.69961
56
55
54
53
+ 3'
9
10
11
9.83986
.83988
.83990
.83992
.69161
.69164
.69168
.69171
9.84112
.84114
.84117
.84119
.69363
.69366
.69369
.69373
9.84238
.84240
.84242
.84244
.69563
.69567
.69570
.69573
9.84363
.84365
.84367
.84369
.69764
.69767
.69771
.69774
9.84488
.84490
.84492
.84494
.69964
.69967
.69971
.69974
52
51
50
49
+ 3'
13
14
15
9.83995
.83997
.83999
.84001
.69174
.69178
.69181
.69185
9.84121
.84123
.84125
.84127
.69376
.69379
.69383
.69386
9.84246
.84248
.84251
.84253
.69577
.69580
.69583
.69587
9.84371
.84373
.84376
.84378
.69777
.69781
.69784
.69787
9.84496
.84498
.84500
.84502
.69977
.69981
.69984
.69987
48
47
46
45
+ 4'
17
18
19
9.84003
.84005
.84007
.84009
.69188
.69191
.69195
.69198
9.84129
.84131
.84133
.84135
.69389
.69393
.69396
.69399
9.84255
.84257
.84259
.84261
.69590
.69593
.69597
.69600
9.84380
.84382
.84384
.84386
.69791
.69794
.69797
.69801
9.84504
.84506
.84508
.84510
.69991
.69994
.69997
.70001
44
43
42
41
+ 5'
21
22
2S
9.84011
.84014
.84016
.84018
.69301
.69305
.69308
.69311
9.84138
.84140
.84142
.84144
.69403
.69406
.69409
.69413
9.84263
.84265
.84267
.84269
.69803
.69607
.69610
.69614
9.84388
.84390
.84392
.84394
.69804
.69807
.69811
.69814
9.84512
.84514
.84517
.84519
.70004
.70007
.70011
.70014
40
39
38
37
+ 6'
25
26
27
9.84020
.84022
.84024
.84026
.69315
.69318
.69331
.69335
9.84146
.84148
.84150
.84152
.69416
.69419
.69433
.69436
9.84271
. .84274
.84276
.84278
.69617
.69630
.69634
.69637
9.84396
.84398
.84400
.84403
.69817
.69831
.69834
.69837
9.84521
.84523
.84525
.84527
.70017
.70031
.70034
.70037
36
35
34
33
+ r
29
SO
31
9.84028
.84030
.84033
.84035
.69338
.69333
.69335
.69338
9.84154
.84156
.84159
.84161
.69439
.69433
.69436
.69439
9.84280
.84282
.84284
.84286
.69630
.69634
.69637
.69640
9.84405
.84407
.84409
.84411
.69831
.69834
.69837
.69841
9.84529
.84531
.84533
.84535
.70031
.70034
.70037
.70041
32
31
30
29
+ 8'
S3
34
35
9.84037
.84039
.84041
.84043
.69343
.69345
.69348
.69353
9.84163
.84165
.84167
.84169
.69443
.69446
.69450
.69453
9.84288
.84290
.84292
.84294
.69644
.69647
.69650
.69654
9.84413
.84415
.84417
.84419
.69844
.69847
.69851
.69854
9.84537
.84539
.84541
.84543
.70044
.70047
.70051
.70054
28
27
26
25
+ 9^
37
38
39
9.84045
.84047
.84049
.84051
.69355
.69358
.69363
.69365
9.84171
.84173
.84175
.84177
.69456
.69460
.69463
.69466
9.84296
.84299
.84301
.84303
.69657
.69660
.69664
.69667
9.84421
.84423
.84425
.84427
.69857
.69861
.69864
.69867
9.84545
.84547
.84550
.84552
.70057
.70061
.70064
.70067
24
23
22
21
20
19
18
17
+ W
41
42
4S
9.84054
.84056
.84058
.84060
.69368
.69373
.69375
.69379
9.84179
.84182
.84184
.84186
.69470
.69473
.69476
.69480
9.84305
.84307
.84309
.84311
.69670
.69674
.69677
.69680
9.84430
.84432
.84434
.84436
.69871
.69874
.69877
.69881
9.84554
.84556
.84558
.84560
.70071
.70074
.70077
.70081
+ 11^
46
47
9.84062
.84064
.84066
.84068
.69383
.69385
.69389
.69393
9.84188
.84190
.84192
.84194
.69483
.69486
.69490
.69493
9.84313
.84315
.84317
.84319
.69684
.69687
.69690
.69694
9.84438
.84440
.84442
.84444
.69884
.69887
.69891
.69894
9.84562
.84564
.84566
.84568
.70084
.70087
.70091
.70094
16
15
14
IS
+ ir
49
50
51
9.84070
.84072
.84075
.84077
.69395
.69399
.69303
.69305
9.84196
.84198
.84200
.84203
.69496
.69500
.69503
.69506
9.84321
.84324
.84326
.84328
.69697
.69700
.69704
.69707
9.84446
.84448
.84450
.84452
.69897
.69901
.69904
.69907
9.84570
.84572
.84574
.84576
.70097
.70101
.70104
.70107
12
11
10
9
8
7
6
5
+ 13'
53
54
55
9.84079
.84081
.84083
.84085
.69309
.69313
.69315
.69319
9.84205
.84207
.84209
.84211
.69510
.69513
.69516
.69530
9.84330
.84332
.84334
.84336
.69710
.69714
.69717
.69730
9.84454
.84456
.84459
.84461
.69911
.69914
.69917
.69931
9.84578
.84581
.84583
.84585
.70111
.70114
.70117
.70131
+ 14'
57
55
59
9.84087
.84089
.84091
.84093
.69333
.69336
.69339
.69333
9.84213
.84215
.84217
.84219
.69533
.69527
.69530
.69533
9.84.338
.84340
.84342
.84344
.69734
.69737
.69731
.69734
9.84463
.84465
.84467
.84469
.69934
.69937
.69931
.69934
9.84587
.84589
.84591
.84593
.70134
.70137
.70131
.70134
4
S
2
1
+ 15'
9.84096
.69336
9.84221
.69537
9.84346
.69737
9.84471
.69937
9.84595
.70137
ifift 29m
IQh 2Sm
16h 27m
16ft 26m
16fi 25m
TABLE IV.
Havereines.
[Page 136
s
Jh 35m 113° 45'
7h sem 114° 6'
7h S7m 114° 15^
7h SS-m 114° 30'
7h 39m 114° 45' 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.84595
.84597
.84599
.84601
.70137
.70141
.70144
.70147
9.84718
.84720
.84722
.84724
.70337
.70340
.70343
.70347
9.84841
.84843
.84845
.84847
.70536
.70539
.70543
.70546
9.84903
.84965
.84967
.84969
.70735
.70738
.70741
.70745
9.85085
.85087
.85089
.85091
.70933
.70936
.70940
.70943
60
59
58
57
+ r
5
6
7
9.84603
.84605
.84607
.84609
.70151
.70154
.70157
.70161
9.84726
.84729
.84731
.84733
.70350
.70353
.70357
.70360
9.84849
.84851
.84853
.84855
.70549
.70553
.70556
.70559
9.84971
.84973
.84975
.84977
.70748
.70751
.70755
.70758
9.85093
.85095
.85097
.85099
.70946
.70950
.70953
.70956
56
55
54
53
+ 2'
9
10
11
9.84611
.84613
.84616
.84618
.70164
.70167
.70171
.70174
9.84735
.84737
.84739
.84741
.70363
.70367
.70370
.70373
9.84857
.84859
.84861
.84863
.70562
.70566
.70569
.70572
9.84979
.84982
.84984
.84986
.70761
.70764
.70768
.70771
9.85101
.85103
.85105
.85107
.70959
.70963
.70966
.70969
52
51
50
49
+ 3'
13
14
15
9.84620
.84622
.84624
.84626
.70177
.70181
.70184
.70187
9.84743
.84745
.84747
.84749
.70377
.70380
.70383
.70387
9.84866
.84868
■ .84870
.84872
.70576
.70579
.70582
.70586
9.84988
.84990
.84992
.84994
.70774
.70778
.70781
.70784
9.85109
.85111
.85113
.85115
.70973
.70976
.70979
.70983
48
47
46
45
44
43
42
41
40
39
38
37
+ 4^
17
18
19
9.84628
.84630
.84632
.84634
.70191
.70194
.70197
.70201
9.84751
.84753
.84755
.84757
.70390
.70393
.70397
.70400
9.84874
.84876
.84878
,84880
.70589
.70592
.70596
.70599
9.84996
.84998
.85000
.85002
.70788
.70791
.70794
.70798
9.85117
.85119
.85121
.85123
.70986
.70989
.70992
.70996
+ 5^
21
22
23
9.84636
.84638
.84640
.84642
.70304
.70207
.70211
.70214
9.84759
.84761
.84763
.84765
.70403
.70407
.70410
.70413
9.84882
.84884
.84886
.84888
.70602
.70606
.70609
.70612
9.85004
.85006
.85008
.85010
.70801
.70804
.70807
.70811
9.85125
.85127
.85129
.85131
.70999
.71002
.71006
.71009
+ 6^
25
26
27
9.84644
.84646
.84648
.84651
.70217
.70221
.70224
.70227
9.84767
.84770
.84772
.84774
.70417
.70420
.70423
.70426
9.84890
.84892
.84894
.84896
.70615
.70619
.70622
.70625
9.85012
.85014
.85016
.85018
.70814
.70817
.70821
.70824
9.85133
.85135
.85137
.85139
.71012
.71016
.71019
.71022
36
35
34
S3
+ r
29
30
31
9.84653
.84655
.84657
.84659
.70230
.70234
.70237
.70240
9.84776
.84778
.84780
.84782
.70430
.70433
.70436
.70440
9.84898
.84900
.84902
.84904
.70629
.70632
.70635
.70639
9.85020
.85022
.85024
.85026
.70827
.70831
.70834
.70837
9.85141
.85143
.85145
.85147
.71025
.71029
.71032
.71035
32
31
30
29
+ 8^
33
34
35
9.84661
.84663
.84665
.84667
.70244
.70247
.70250
.70254
9.84784
.84786
.84788
.84790
.70443
.70446
.70450
.70453
9.84906
.84908
.84910
.84912
.70642
.70645
.70649
.70652
9.85028
.85030
.85032
.85034
.70840
.70844
.70847
.70850
9.85149
.85151
.85153
.85155
.71039
.71042
.71045
.71049
28
27
26
25
+ 9'
37
38
39
9.84669
.84671
.84673
.84675
.70257
.70260
.70264
.70267
9.84792
.84794
.84796
.84798
.70456
.70460
.70463
.70466
9.84914
.84916
.84919
.84921
.70655
.70659
.70662
.70665
9.85036
.85038
.85040
.85042
.70854
.70857
.70860
.70864
9.85158
.85160
.85162
.85164
.71052
.71055
.71058
.71062
24
23
22
Ti
+ W
41
42
43
9.84677
.84679
.84681
.84683
.70270
.70274
.70277
.70280
9.84800
.84802
.84804
.84806
.70470
.70473
.70476
.70480
9.84923
.84925
.84927
.84929
.70668
.70672
.70675
.70678
9.85044
.85046
.85048
.85050
.70867
.70870
.70874
.70877
9.85166
.85168
.85170
.85172
.71065
.71068
.71072
.71075
20
19
18
17
+ 11^
45
46
47
9.84685
.84688
.84690
.84692
.70284
.70287
.70290
.70294
9.84808
.84810
.84812
.84815
.70^83
.70486
.70490
.70493
9.84931
.84933
.84935
.84937
.70682
.70685
.70688
.70692
9.85052
.85054
.85057
.85059
.70880
.70884
.70887
.70890
9.85174
.85176
.85178
.85180
.71078
.71082
.71085
.71088
16
15
14
13
+ n'
49
50
51
9.84694
.84696
.84698
.84700
.70297
.70300
.70304
.70307
9.84817
.84819
.84821
.84823
.70496
.70499
.70503
.70506
9.84939
.84941
.84943
.84945
.70695
.70698
.70702
.70705
9.85061
.85063
.85065
.85067
.70893
.70897
.70900
.70903
9.85182
.85184
.85186
.85188
.71091
.71095
.71098
.71101
12
11
10
9
+ 13^
53
54
55
9.84702
.84704
.84706
.84708
.70310
.70314
.703W
.70320
9.84825
.84827
.84829
.84831
.70509
.70513
.70516
.70519
9.84947
.84949
.84951
.84953
.70708
.70712
.70715
.70718
9.85069
.85071
.85073
.85075
.70907
.70910
.70913
.70916
9.85190
.85192
.85, 94
.85196
.71105
.71108
.71111
.71114
8
7
6
5
+ lif
57
58
59
9.84710
.84712
.84714
.84716
.70324
.70327
.70330
.70333
9.84833
.84835
.84837
.84839
.70523
.70526
.70529
.70533
9.84955
.84957
.84959
.84961
.70721
.70725
.70729
.70731
9.85077
.85079
.85081
.85083
.70920
.70923
.70926
.70930
9.85198
.85200
.85202
.85204
.71118
.71121
.71124
.71128
4
S
2
1
+ W
9.84718
.70337
9.84841
.70536
9.84963
.70735
9.85085
.70933
9.85206
.71131
JffiA
24m
16h 23^
16^ 22m
16^
21m
16^ 20m
Page 136] TABLE IV.
Haversines.
s
7h 40m 115° 0'
7A 4im 115° 15/
7A 42m 115° 30'
7h 43m 115° 45'
7h 44m 116° 0'
E
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
S
9.85206
.85208
.85210
.85212
.71131
.71134
.71138
.71141
9.85326
.85328
.85330
.85332
.71328
.71332
.71335
.71338
9.85446
.85448
.85450
.85452
.71526
.71529
.71532
.71535
9.85565
.85567
.85569
.85571
.71722
.71726
.71729
.71732
9.85684
.85686
.85688
.85690
.71919
.71922
.71925
.71928
60
59
58
57
+ r
5
6
7
9.85214
.85216
.85218
.85220
.71144
.71147
.71151
.71154
9.85334
.85336
.85338
.85340
.71342
.71345
.71348
.71351
9.85454
.85456
.85458
.85460
.71539
.71542
.71545
.71549
9.85573
.85575
.85577
.85579
.71735
.71739
.71742
.71745
9.85692
.85694
.85696
.85698
.71932
.71935
.71938
.71941
56
55
54
53
+ 3'
9
10
11
9.85222
.85224
.85226
.85228
.71157
.71161
.71164
.71167
9.85342
.85344
.85346
.85348
.71355
.71358
.71361
.71365
9.85462
.85464
.85466
.85468
.71552
.71555
.71558
.71562
9.85581
.85583
.85585
.85587
.71748
.71752
.71755
.71758
9.85700
.85702
.85704
.85706
.71945
.71948
.71951
.71955
52
51
50
49
+ 3'
13
14
15
9.85230
.85232
.85234
.85236
.71170
.71174
.71177
.71180
9.85350
.85352
.85354
.85356
.71368
.71371
.71374
.71378
9.85470
.85472
.85474
.85476
.71565
.71568
.71571
.71575
9.85589
.85591
.85593
.85595
.71762
.71765
.71768
.71771
9.85708
.85710
.85712
.85714
.71958
.71961
.71964
.71968
48
47
46
45
+ 4^
17
18
19
9.85238
.85240
.85242
.85244
.71184
.71187
.71190
.71194
9.85358
.85360
.85362
.85364
.71381
.71384
.71388
.71391
9.85478
.85480
.85482
.85484
.71578
.71581
.71585
.71588
9.85597
.85599
.85601
.85603
.71775
.71778
.71781
.71784
9.85716
.85718
.85720
.85722
.71971
.71974
.71977
.71981
44
43
42
41
+ 5'
21
22
23
9.85246
.85248
.85250
.85252
.71197
.71200
.71203
.71207
9.85366
.85368
.85370
.85372
.71394
.71397
.71401
.71404
9.85486
.85488
.85490
.85492
.71591
.71594
.71598
.71601
9.85605
.85607
.85609
.85611
.71788
.71791
.71794
.71798
9.85724
.85726
.85727
.85729
.71984
.71987
.71990
.71994
40
39
38
37
+ 6'
25
26
27
9.85254
.85256
.85258
.85260
.71210
.71213
.71217
.71220
9.85374
.85376
.85378
.85380
.71407
.71411
.71414
.71417
9.85494
.85496
.85498
.85500
.71604
.71608
.71611
.71614
9.85613
.85615
.85617
.85619
.71801
.71804
.71807
.71811
9.85731
.85733
.85735
.85737
.71997
.72000
.72003
.72007
36
35
34
33
+ r
29
SO
SI
9.85262
.85264
.85266
.85268
.71223
.71226
.71230
.71233
9.85382
.85384
.85386
.85388
.71420
.71424
.71427
.71430
9.85502
.85504
.85506
.85508
.71617
.71621
.71624
.71627
9.85621
.85623
.85625
.85627
.71814
.71817
.71820
.71824
9.85739
.85741
.85743
.85745
.72010
.72013
.72017
.72020
32
31
30
29
+ S'
S3
34
35
9.85270
.85272
.85274
.85276
.71236
.71240
.71243
.71246
9.85390
.85392
.85394
.85396
.71434
.71437
.71440
.71443
9.85510
.85512
.85514
.85516
.71631
.71634
.71637
.71640
9.85629
.85631
.85633
.85635
.71827
.71830
.71834
.71837
9.85747
.85749
.85751
.85753
.72023
.72026
.72030
.72033
28
27
26
25
+ 9'
37
S8
39
9.85278
.85280
.85282
.85284
.71249
.71253
.71256
.71259
9.85398
.85400
.85402
.85404
.71447
.71450
.71453
.71456
9.85518
.85520
.85522
.85524
.71644
.71647
.71650
.71653
9.85637
.85639
.85641
.85643
.71840
.71843
.71847
.71850
9.85755
.85757
.85759
.85761
.72036
.72039
.72043
.72046
24
23
22
21
+ 10'
41
42
43
9.85286
.85288
.85290
.85292
.71263
.71266
.71269
.71273
9.85406
.85408
.85410
.85412
.71460
.71463
.71466
.71470
9.85526
.85528
.85530
.85532
.71657
.71660
.71663
.71667
9.85645
.85647
.85649
.85651
.71853
.71856
.71860
.71863
9.85763
.85765
.85767
.85769
.72049
.72052
.72056
.72059
20
19
18
17
+ ir
45
46
47
9.85294
.85296
.85298
.85300
.71276
.71279
.71282
.71286
9.85414
.85416
.85418
.85420
.71473
.71476
.71480
.71483
9.85534
.85536
.85538
.85540
.71670
.71673
.71676
.71680
9.85653
.85654
.85656
.85658
.71866
.71870
.71873
.71876
9.85771
.85773
.85775
.85777
.72062
.72066
.72069
.72072
16
15
14
13
12
11
10
9
8
7
6
5
+ n'
49
50
51
9.85302
.85304
.85306
.85308
.71289
.71292
.71296
.71299
9.85422
.85424
.85426
.85428
.71486
.71489
.71493
.71496
9.85542
.85544
.85546
.85548
.71683
.71686
.71690
.71693
9.85660
.85662
.85664
.85666
.71879
.71883
.71886
.71889
9.85779
.85781
.85783
.85785
.72075
.72079
.72082
.72085
+ 13'
53
54
55
9.85310
.85312
.85314
.85316
.71302
.71305
.71309
.71312
9.85430
.85432
.85434
.85436
.71499
.71503
.71506
.71509
9.85550
.85552
.85554
.85555
.71696
.71699
.71703
.71706
9.85668
.85670
.85672
.85674
.71892
.71896
.71899
.71902
9.85787
.85788
.85790
.85792
.72088
.72092
.72095
.72098
+ ir
67
58
59
9.85318
.85320
.85322
.85324
.71315
.71319
.71322
.71325
9.85438
.85440
.85442
.85444
.71512
.71516
.71519
.71522
9.85557
.85559
.85561
.85563
.71709
.71712
.71716
.71719
9.85676
.85678
.85680
.85682
.71905
.71909
.71912
.71915
9.85794
.85796
.85798
.85800
.72101
.72105
.72108
.72111
4
3
2
1
+ 15'
9.85326
.71328
9.85446
.71526
9.85565
.71722
9.85684
.71919
9.85802
.72114
16^ 19m
len 18m
16h nm,
16h 16m 1
16h 15m 1
TABLP] IV.
Haversinea.
[Page 137
B
S
7A 45m 116° 15'
7A 46™ 116° 30' 1
7ft AT^ 116° 45'
inj^sm
117°©'
7h 49m 117° 15' 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. nav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
2
3
9.85802
.85804
.85806
.85808
.73114
.72118
.72121
.73124
9.85920
.85922
.85924
.85926
.73310
.73313
.73316
.72320
9.86037
.86039
.86041
.86043
.72505
.72508
.72511
.72515
9.86153
.86155
.86157
.86159
.73700
.73703
.73706
.73709
9.86269
.86271
.86273
.86275
.73894
.73897
.73900
.72903
60
59
58
57
+ r
5
6
7
9.85810
.85812
.85814
.85816
.72127
.73131
.73134
.73137
9.85928
.85930
.85931
.85933
.72323
.73326
.73329
.72333
9.86045
.86046
.86048
.86050
.72518
.72521
.72524
.72528
9.86161
.86163
.86165
.86167
.73712
.72716
.72719
.72722
9.86277
.86279
.86281
.86282
.72907
.72910
.72913
.72916
56
55
54
53
+ 3'
9
10
11
9.85818
.85820
.85822
.85824
.72141
.73144
.73147
.73150
9.85935
.85937
.85939
.85941
.72336
.73339
.73342
.72346
9.86052
.86054
.86056
.86058
.72531
.72534
.73537
.73541
9.86169
.86171
.86173
.86174
.72735
.73739
.73733
.73735
9.86284
.86286
.86288
.86290
.73920
.72923
.72926
.72929
52
51
50
49
+ 3-
13
14
15
9.85826
.85828
.85830
.85832
.73154
.73157
.73160
.73163
9.85943
.85945
.85947
.85949
.72349
.72352
.72355
.72359
9.86060
.86062
.86064
.86066
.73544
.73547
.73550
.73554
9.86176
.86178
.86180
.86182
.73738
.72742
.72745
.72748
9.86292
.86294
.86296
.86298
.72932
.73936
.73939
.73943
48
47
46
45
+ 4^
17
18
19
9.85834
.85836
.85838
.85840
.73167
.73170
.73173
.73176
9.85951
.85953
.85955
.85957
.72362
.72365
.73368
.73373
9.86068
.86070
.86072
.86074
.73557
.73560
.73563
.735G7
9.86184
.86186
.86188
.86190
.72751
.72755
.73758
.73761
9.86300
.86302
.86304
.86306
.73945
.73949
.73953
.73955
44
43
42
41
+ 5^
23
9.85841
.85843
.85845
.85847
.73180
.73183
.72186
.73189
9.85959
.85961
.85963
.85965
.73375
.73378
.72381
.72385
9.86076
.86078
.86080
.86081
.73570
.73573
.73576
.73580
9.86192
.86194
.86196
.86198
.73764
.72768
.72771
.72774
9.86307
.86309
.86311
.86313
.73958
.73963
.73965
.73968
40
39
38
37
+ 6^
25
26
27
9.85849
.85851
.85853
.85855
.72193
.72196
.72199
.72202
9.85967
.85969
.85971
.85972
.72388
.72391
.72394
.72398
9.86083
.86085
.86087
.86089
.73583
.73586
.72589
.73593
9.86200
.86201
.86203
.86205
.72777
.72780
.72784
.73787
9.86315
.86317
.86319
.86321
.72971
.72974
.73978
.73981
36
35
34
33
+ r
29
30
31
9.85857
.85859
.85861
.85863
.72206
.72209
.72213
.73315
9.85974
.85976
.85978
.85980
.72401
.72404
.72407
.72411
9.86091
.86093
.86095
.86097
.72596
.72599
.72603
.73606
9.86207
.86209
.86211
.86213
.73790
.73793
.73797
.73800
9.86323
.86325
.86327
.86329
.73984
.73987
.73991
.73994
32
31
30
29
+ 8'
S3
34
35
9.85865
.85867
.85869
.85871
.73219
.72222
.73335
.73339
9.85982
.85984
.85986
.85988
.72414
.72417
.72420
.72424
9.86099
.86101
.86103
.86105
.73609
.73613
.73615
.73618
9.86215
.86217
.86219
.86221
.73803
.73806
.73810
.73813
9.86331
.86332
.86334
.86336
.72997
.73000
.73004
.73007
28
27
26
25
24
23
22
21
20
19
IS
17
16
15
14
13
+ r
37
38
39
9.85873
.85875
.85877
.85879
.73333
.73335
.73338
.73243
9.85990
.85992
.85994
.85996
.72427
.73430
.73433
.73437
9.86107
.86109
.86111
.86112
.73633
.73635
.73628
.73631
9.86223
.86225
.86227
.86229
.73816
.73819
.73833
.73836
9.86338
.86340
.86342
.86344
.73010
.73013
.73016
.73020
+ 1(K
41 ■
42
43
9.85881
.85883
.85885
.85887
.72245
.72248
.72251
.72355
9.85998
.86000
.86002
.86004
.73440
.73443
.72446
.73450
9.86114
.86116
.86118
.86120
.73635
.73638
.73641
.73644
9.86230
.86232
.86234
.86236
.73839
.73833
.73835
.73839
9.86346
.86348
.86350
.86352
.73023
.73026
.73029
73033
+ 11'
46
47
9.85888
.85890
.85892
.85894
.72358
.73361
.72264
.72268
9.8G006
.86008
.86010
.86011
.73453
.73456
.73459
.72463
9.86122
.86124
.86126
.86128
.73648
.72651
.72654
.72657
9.86238
.86240
.86242
.86244
.73843
.73845
.73848
.73853
9.86354
.86355
.86357
.86359
.73036
.73039
.73042
.73046
+ ir
50
51
9.85896
.85898
.85900
.85902
.72271
.73374
.73277
.72381
9.86013
.86015
.86017
.86019
.72466
.72469
.72473
72476
9.86130
.86132
.86134
.86136
.73661
.73664
.73667
.72670
9.86246
.86248
.86250
.86252
.73855
.73858
.73861
.73865
9.86361
.86363
.86365
.86367
.73049
.73052
.73055
.73058
12
11
10
9
+ 13^
54
55
9.85904
.85906
.85908
.85910
.72384
.72287
.72290
.72394
9.86021
.86023
.86025
.86027
.72479
.72482
.72485
.72489
9.86138
.86140
.86142
.86143
.72674
.72677
.73680
.73683
9.86254
.86256
.86257
.86259
.73868
.73871
.73874
.73878
9.86369
.86371
.86373
.86375
.73062
.73065
.73068
.73071
8
7
6
5
+ 14'
57
58
59
9.85912
.85914
.85916
.85918
.73397
.73300
.73303
72307
9.86029
.86031
.86033
.86035
.73492
.72495
.72498
.72502
9.86145
.86147
.86149
.86151
.73687
.73690
.73693
.73696
9.86261
.86263
.86265
.86267
.73881
.72884
.72887
.72890
9.86377
.86379
.86380
.86382
.73076
.73078
.73081
.73084
4
3
2
i
+ 15'
9.85920
.72310
9.86037
.72505
9.86153
.73700
9.86269
.72894
9.86384
.73087
16h
14m
16h urn
16^
12m
16^
Jim
lehiom
Page 138] TABLE lY.
Havereines.
£
7h sm 117° W 1
7A 5m 117° 45'
7* 5m 118° (K
7ft 5Sm 118° 15'
7A 54^ 118° 30'
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav
.Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
1
S
9.86384
.86386
.86388
.86390
.73087
.73091
.73094
.73097
9.86499
.86501
.86503
.86505
.73281
.73284
.73287
.73290
9.86613
.86615
.86617
.86619
.73474
.73477
.73480
73483
9.86727
.86729
.86730
.86732
.73666
.73669
.73673
.73676
9.86840
.86842
.86843
.86845
.73858
.73861
.73864
.73868
60
59
58
57
56
55
54
53
6
6
7
9.86392
.86394
.86396
.86398
.73100
.73104
.73107
.73110
9.86507
.86509
.86510
.86512
.73294
.73297
.73300
.73303
9.86621
.86623
.86625
.86626
.73486
.73490
.73493
.73496
9.86734
.86736
.86738
.86740
.73679
.73682
.73685
.73688
9.86847
.86849
.86851
.86853
.73871
.73874
.73877
.73880
+ ^
9
10
11
9.86400
.86401
.86403
.86405
.73113
.73116
.73130
.73123
9.86514
.86516
.86518
.86520
.73306
.73310
.73313
.73316
9.86628
.86630
.86632
.86654
.73499
.73502
.73506
.73509
9.86742
.86744
.86746
.86747
.73692
.73695
.73698
.73701
9.86855
.86857
.86859
.86860
.73884
.73887
.73890
.73893
52
51
50
49
+ 3'
IS
14
15
9.86407
.86409
.86411
.86413
.73126
.73129
.73133
.73136
9.86522
.86524
.86526
.86528
.73319
.73333
.73336
.73329
9.86636
.86638
.86640
.86642
.73512
.73515
.73519
.73522
9.86749
.86751
.86753
.86755
.73704
.73708
.73711
.73714
9.86862
.86864
.86866
.86868
.73896
.73899
.73903
.73906
48
47
46
45
U
43
42
41
+ 4'
17
18
19
9.86415
.86417
.86419
.86421
.73139
.73142
.73145
.73149
9.86529
.86531
.86533
.86535
.73332
.73335
.73339
.73342
9.86643
.86645
.86647
.86649
.73525
.73528
.73531
.73535
9.86757
.86759
.86761
.86763
.73717
.73720
.73734
.73737
9.86870
.86872
.86874
.86875
.73909
.73912
.73915
.73919
+ ^
21
22
23
9.86423
.86424
.86426
.86428
.73152
.73155
.73158
.73162
9.86537
.86539
.86541
.86543
.73345
.73348
.73351
.73355
9.86651
.86653
.86655
.86657
.73538
.73541
.73544
.73547
9.86764
.86766
.86768
.86770
.73730
.73733
.73736
.73740
9.86877
.86879
.86881
.86883
.73933
.73935
.73938
.73931
40
39
38
37
36
35
34
33
+ 6'
25
26
27
9.86430
.86432
.86434
.86436
.73165
.73168
.73171
.73174
9.86545
.86547
.86569
.86550
.73358
.73361
.73364
.73368
9.86659
.86661
.86662
.86664
.73551
.73554
.73557
.73560
9.86772
.86774
.86776
.86778
.73743
.73746
.73749
.73752
9.86885
.86887
.86889
.86890
.73935
.73938
.73941
.73944
+ r
29
SO
SI
9.86438
.86440
.86442
.86444
.73178
.73181
.73184
.73187
9.86552
.86554
.86556
.86558
.73371
.73374
.73377
.73380
9.86666
.86668
.86670
.86672
.73563
.73567
.73570
.73573
9.86780
.86781
.86783
.86785
.73756
.73759
73763
.73765
9.86892
.86894
.86896
.86898
.73947
.73951
.73954
.73957
32
31
30
29
H- 8'
33
34
35
9.86446
.86447
.86449
.86451
.73191
.73194
.73197
.73200
9.86560
.86562
.86564
.86566
.73384
.73387
.73390
.73393
9.86674
.86676
.86678
.86679
.73576
.73579
.73583
.73586
9.86787
.86789
.86791
.86793
.73768
.73773
.73775
.73778
9.86900
.86902
.86904
.86905
.73960
.73963
.73967
.73970
28
27
26
25
24
23
22
21
20
19
18
17
+ ^
37
38
39
9.86453
.86455
.86457
.86459
.73303
.73207
.73310
.73313
9.86568
.86569
.86571
.86573
.73396
.73400
.73403
.73406
9.86681
.86683
.86685
.86687
.73589
.73593
.73595
.73599
9.86795
.86796
.86798
.86800
.73781
.73784
.73788
.73791
9.86907
.86909
.86911
.86913
.73973
.73976
.73979
.73982
+ W
41
42
43
9.86461
.86463
.86465
.86467
.73216
.73230
.73333
.73336
9.86575
.86577
.86579
.86581
.73409
.73413
.73416
.73419
9.86689
.86691
.86693
.86695
.73602
.73605
.73608
.73611
9.86802
.86804
.86806
.86808
.73794
.73797
.73800
.73804
9.86915
.86917
.86919
.86920
.73986
.73989
.73992
.73995
4S
46
47
9.86468
.86470
.86472
.86474
.73229
.73232
.73236
.73239
9.86583
.86585
.86587
.86588
.73423
.73435
.73439
.73433
9.86696
.86698
.86700
.86702
.73615
.73618
.73621
.73624
9.86810
.86812
.86813
.86815
.73807
.73810
.73813
.73816
9.86922
.86924
.86926
.86928
.73998
.74002
.74005
.74008
16
15
14
13
12
11
10
9
8
7
6
5
4
S
2
1
+ 13'
49
50
51
9.86476
.86478
.86480
.86482
.73242
.73245
.73249
.73252
9.86590
.86592
.86594
.86596
.73435
.73438
.73441
.73445
9.86704
.86706
.86708
.86710
.73628
.73631
.73634
.73637
9.86817
.86819
.86821
.86823
.73820
.73823
.73826
.73829
9.86930
.86932
.86933
.86935
.74011
.74014
.74018
.74031
.74034
.74037
.74030
.74033
5S
54
55
9.86484
.86486
.86488
.86489
.73256
.73258
.73261
.73265
9.86598
.86600
.86602
.86604
.73448
.73451
.73454
.73458
9.86712
.86713
.86715
.86717
.73640
.73644
.73647
.73650
9.86825
.86827
.86828
.86830
.73832
.73836
.73839
.73842
9.86937
.86939
.86941
.86943
57
59
9.86491
.86493
.86495
.86497
.73268
.73271
.73274
.73278
9.86606
.86607
.86609
.86611
.73461
.73464
.73467
.73470
9.86719
.86721
.86723
.86725
.73653
.73656
.73660
.73663
9.86832
.86834
.86836
.86838
.73845
.73848
.73852
.73855
9.86945
.86947
.86948
.86950
.74037
.74040
.74043
.74046
+ W
9.86499
.73281
9.86613
.73474
9.86727
.73666
9.86840
.73858
9.86952
.74049
ifiApm
lehgm
16^ Tm
ifi/igTn
26ft 5'"
TABLE ly. [Page 139
Haversines.
s
7h 55m 118° 45'
7^56^119°©' 1
7h 57m 1190 15/
7h 58m 1190 30^ |
7h 59m 119° 45' 1
Log. nav.
Nat. nav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
s
1
2
3
9.86952
.86954
.86956
.86958
.74049
.74063
.74056
.74059
9.87064
.87066
.87068
.87070
.74340
.74344
.74247
.74350
9.87175
.87177
.87179
.87181
.74431
.74434
.74437
.74441
9.87286
.87288
.87290
.87292
.74621
.74624
.74628
.74631
9.87396
.87398
.87400
.87402
.74811
.74814
.74817
.74820
60
59
58
57
+ r
5
6
7
9.86960
.86962
.86963
.86965
.74063
.74065
.74069
.74073
9.87072
.87073
.87075
.87077
.74353
.74356
.74260
.74263
9.87183
.87185
.87187
.87188
.74444
.74447
.74450
.74453
9.87294
.87295
.87297
.87299
.74634
.74637
.74640
.74643
9.87404
.87406
.87407
.87409
.74823
.74827
.74830
.74833
56
55
54
53
+ V
9
10
11
9.86967
.86989
.86971
.86973
.74075
.74078
.74081
.74084
9.87079
.87081
.87083
.87085
.74366
.74269
.74373
.74375
9.87190
.87192
.87194
.87196
.74456
.74460
.74463
.74466
9.87301
.87303
.87305
.87306
.74646
.74650
.74653
.74656
9.87411
.87413
.87415
.87417
.74836
.74839
.74843
.74846
52
51
50
49
+ 3'
13
14
15
9.86975
.86977
.86978
.86980
.74088
.74091
.74094
.74097
9.87086
.87088
.87090
.87092
.74379
.74282
.74285
.74288
9.87198
.87199
.87201
.87203
.74469
.74473
.74475
.74479
9.87308
.87310
.87312
.87314
.74659
.74662
.74665
.74669
9.87418
.87420
.87422
.87424
.74849
.74852
.74855
.74858
48
47
46
45
44
43
42
41
+ *'
17
18
19
9.86982
.86984
.86986
.86988
.74100
.74104
.74107
.74110
9.87094
.87096
.87098
.87100
.74291
.74294
.74298
.74301
9.87205
.87207
.87209
.87211
.74483
.74485
.74488
.74491
9.87316
.87318
.87319
.87321
.74672
.74675
.74678
.74681
9.87426
.87428
.87429
.87431
.74861
.74864
.74868
74871
+ 5^
21
22
23
9.86990
.86991
.&e993
.74113
.74116
.74130
.74133
9.87101
.87103
.87105
.87107
.74304
.74307
.74310
.74314
9.87212
.87214
.87216
.87218
.74494
.74498
.74501
.74504
9.87323
.87325
.87327
.87329
.74684
.74688
.74691
.74694
9.87433
.87435
.87437
.87439
.74874
.74877
.74880
.74883
40
39
38
37
+ 6'
25
26
21
9.86997
.86999
.87001
.87003
.74136
.74139
.74133
.74135
9.87109
.87111
.87112
.87114
.74317
.74320
.74323
.74326
9.87220
.87222
.87224
.87225
.74507
.74510
.74514
.74517
9.87330
.87332
.87334
.87336
.74697
.74700
.74703
.74707
9.87440
.87442
.87444
.87446
.74887
.74890
.74893
.74896
36
35
34
33
32
31
30
29
+ r
29
30
31
9.87004
.87006
.87008
.87010
.74139
.74143
.74145
.74148
9.87116
.87118
.87120
.87122
.74329
.74333
.74336
.74339
9.87227
.87229
.87231
.87233
.74530
.74533
.74536
.74539
9.87338
.87340
.87341
.87343
.74710
.74713
.74716
.74719
9.87448
.87450
.87451
.87453
.74899
.74903
.74905
.74908
+ 8'
33
34
35
9.87012
.87014
.87016
.87018
.74151
.74155
.74158
.74161
9.87124
.87125
.87127
.87129
.74342
.74345
.74349
.74352
9.87235
.87236
.87238
.87240
.74533
.74536
.74539
.74543
9.87345
.87347
.87349
.87351
.74722
.74726
.74729
.74732
9.87455
.87457
.87459
.87460
.74913
.74915
.74918
.74931
28
27
26
25
+ 9^
37
38
39
9.87019
.87021
.87023
.87025
.74164
.74167
.74170
.74174
9.87131
.87133
.87135
.87137
.74355
.74358
.74361
.74364
9.87242
.87244
.87246
.87248
.74545
.74548
.74553
.74555
9.87352
.87354
.87356
.87358
.74735
.74738
.74741
.74744
9.87462
.87464
.87466
.87468
.74924
.74928
.74931
.74934
24
23
22
21
+ w
41
42
43
9.87027
.87029
.87031
.87032
.74177
.74180
.74183
.74186
9.87138
.87140
.87142
.87144
.74368
.74371
.74374
.74377
9.87249
.87251
.87253
.87255
.74558
.74561
.74564
.74567
9.87360
.87362
.87363
.87365
.74748
.74751
.74754
.74757
9.87470
.87471
.87473
.87475
.74937
.74940
.74943
.74946
20
19
18
17
+ 11'
45
46
47
9.87034
.87036
.87038
.87040
.74190
.74193
.74196
.74199
9.87146
.87148
.87149
.87151
.74380
.74383
.74387
.74390
9.87257
.87259
.87260
.87262
.74571
.74574
.74577
.74580
9.87367
.87369
.87371
.87373
.74760
.74763
.74767
.74770
9.87477
.87479
.87481
.87482
.74950
.74953
.74956
.74959
16
15
14
13
+ IV
49
50
51
9.87042
.87044
.87045
.87047
.74203
.74305
.74309
.74213
9.87153
.87155
.87157
.87159
.74393
.74396
.74399
.74402
9.87264
.87266
.87268
.87270
.74583
.74586
.74590
.74593
9.87374
.87376
.87378
.87380
.74773
.74776
.74779
.74782
9.87484
.87486
.87488
.87490
.74962
.74965
.74969
.74972
12
11
10
9
+ 13^
53
54
55
9.87049
.87051
.87053
.87055
.74315
.74318
.74231
.74335
9.87161
.87162
.87164
.87166
.74406
.74409
.74412
.74415
9.87271
.87273
.87275
.87277
.74596
.74599
.74603
.74605
9.87382
.87384
.87385
.87387
.74786
.74789
.74792
.74795
9.87492
.87493
.87495
.87497
.74975
.74978
.74981
.74984
8
7
6
5
+ W
57
58
59
9.87057
.87059
.87060
.87062
.74328
.74331
.74334
.74337
9.87168
.87170
.87172
.87174
.74418
.74423
.74435
.74438
9.87279
.87281
.87283
.87284
.74609
.74612
.74615
.74618
9.87389
.87391
.87393
.87395
.74798
.74801
.74805
.74808
9.87499
.87501
.87502
.87504
.74987
.74991
.74994
.74997
4
S
2
1
+ W
9.87064
.74340
9.87175
.74431
9.87286
.74621
9.87396
.74811
9.87506
.75000
16h4m
iShsm
16h 2m 1 ig/i im
16^0^
Page 140] TABLE IV. |
Haversines. 1
s :
8h Om 120° r
8h 2-m 120° 30^
8h 4m 121° r
8h 6m 121° 30'
5ft 5m 133° O' 1
3
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.87506
0.75000
9.87724
0.75377
9.87939
0.75752
9.88153
0.76125
9.88364
0.76496
60
2
.87510
.75006
.87727
.75383
.87943
.75758
.88156
.76131
.88367
.76502
58
4+ 1
.87513
.75013
.87731
.75389
.87947
.75764
.88160
.76137
.88371
.76508
56
6
.87517
.75019
.87735
.75396
.87950
.75771
.88163
.76144
.88374
.76514
54
5+ 2
9.87521
0.75025
9.87738
0.75402
9.87954
0.75777
9.88167
0.76150
9.88378
0.76521
52
10
.87524
.75032
.87742
.75408
.87957
.75783
.88170
.76156
.88381
.76527
50
12+ 3
.87528
.75038
.87745
.75415
.87961
.75789
.88174
.76162
.88385
.76533
48
14
.87532
.75044
.87749
.75421
.87964
.75795
.88177
.76168
.88388
.76539
46
16+ 4
9.87535
0.75050
9.87753
0.75427
9.87968
0.75802
9.88181
0.76175
9.88392
0.76545
44
18
.87539
.75057
.87756
.75433
.87971
.75808
.88185
.76181
.88395
.76551
42
20+ 6
.87543
.75063
.87760
.75440
.87975
.75814
.88188
.76187
.88399
.76558
40
£^
.87546
.75069
.87764
.75446
.87979
.75820
.88192
.76193
.88402
.76564
38
24+ 6
9.87550
0.75075
9.87767
0.75452
9.87982
0.75827
9.88195
0.76199
9.88406
0.76570
36
;g6
.87553
.75082
.87771
.75458
.87986
.75833
.88199
.76205
.88409
.76576
34
;?5+ 7
.87557
.75088
.87774
.75465
.87989
.75839
.88202
.76313
.88413
.76583
32
SO
.87561
.75094
.87778
.75471
.87993
.75845
.88206
.76318
.88416
.76588
30
32+ 8
9.87564
0.75101
9.87782
0.75477
9.87996
0.75853
9.88209
0.76224
9.88420
0.76595
28
.54
.87568
.75107
.87785
.75483
.88000
.75858
.88213
.76230
.88423
.76601
26
.3(5+ 9
.87572
.75113
.87789
.75490
.88004
.75864
.88216
.76236
.88427
.76607
24
.55
.87575
.75120
.87792
.75496
.88007
.75870
.88220
.76243
.88430
.76613
22
40+10
9.87579
0.75126
9.87796
0.75502
9.88011
0.75876
9.88223
0.76249
9.88434
0.76619
20
42
.87583
.75132
.87800
.75508
.88014
.75883
.88227
.76255
.88437
.76625
18
u+n
.87586
.75138
.87803
.75515
.88018
.75889
.88230
.76261
.88441
.76632
16
46
.87590
.75145
.87807
.75521
.88021
.75895
.88234
.76267
.88444
.76638
14
48+1%
9.87593
0.75151
9.87810
0.75527
9.88025
0.75901
9.88237
0.76274
9.88448
0.76644
12
50
.87597
.75157
.87814
.75533
.88029
.75908
.88241
.76280
.88451
.76650
10
52+n
.87601
.75164
.87818
.75540
.88032
.75914
.88244
.76286
.88455
.76656
8
54
.87604
.75170
.87821
.75546
.88036
.75920
.88248
.76292
.88458
.76662
6
56+U
9.87608
0.75176
9.87825
0.75552
9.88039
0.75926
9.88252
0.76298
9.88462
0.76668
4
58
9.87612
0.75182
9.87828
0.75558
9.88043
0.75932
9.88255
0.76305
9.88465
0.76675
2
15^ 59m
I5I1 57m
15h 55m
15h 53m
15J>- 5im
B '
0+15
8h im 120° 0"
9,h^rn 130° 30'
8h 5m 131° 0'
8h 7m 121° 30'
8h 9m 133° O'
s
60
9.87615
0.75189
9.87832
0.75565
9.88046
0.75939
9.88259
0.76311
9.88469
0.76681
2
.87619
.75195
.87835
.75571
.88050
.75945
.88262
.76317
.88472
.76687
58
4+16
.87623
.75201
.87839
.75577
.88053
.75951
.88266
.76323
.88476
.76693
56
6
.87626
.75208
.87843
.75583
.88057
.75957
.88269
.76329
.88479
.76699
54
5+17
9.87630
0.75214
9.87846
0.75590
9.88061
0.759G4
9.88273
0.76335
9.88483
0.76705
52
10
.87633
.75220
.87850
.75596
.88064
.75970
.88276
.76342
.88486
.76711
50
12+1%
.87637
.75226
.87853
.75602
.88068
.75976
.88280
.76348
.88490
.76718?
48
14
.87641
.75233
.87857
.75608
.88071
.75982
.88283
.76354
.88493
.76724
46
16+19
9.87644
0.75239
9.87861
0.75615
9.88075
0.75988
9.88287
0.76360
9.88496
0.76730
44
18
.87648
.75245
.87864
.75621
.88078
.75995
.88290
.76366
.88500
.76736
42
fO+20
.87652
.75251
.87868
.75637
.88082
.76001
.88294
.76373
.88503
.76742
40
22
.87655
.75258
.87871
.75633
.88085
.76007
.88297
.76379
.88507
.76748
38
24+n
9.87659
0.75264
9.87875
0.75640
9.88089
0.76013
9.88301
0.76385
9.88510
0.76754
36
26
.87662
.75270
.87879
.75646
.88092
.76019
.88304
.76391
.88514
.76761
34
28+%%
.87666
.75277
.87882
.75652
.88096
.76026
.88308
.76397
.88517
.76767
32
30
.87670
.75283
.87886
.75658
.88100
.76033
.88311
.76403
.88521
.76773
30
32+%Z
9.87673
0.75289
9.87889
0.75665
9.88103
0.76038
9.88315
0.76410
9.88524
0.76779
28
34
.87677
.75295
.87893
.75671
.88107
.76044
.88318
.76416
.88528
.76785
26
36+U
.87680
.75302
.87896
.75677
.88110
.76050
.88322
.76423
.88531
.76791
24
38
.87684
.75308
.87900
.75683
.88114
.76057
.88325
.76438
.88535
.76797
0.76804
22
20
40+%5
9.87688
0.75314
9.87904
0.75690
9.88117
0.76063
9.88329
0.76434
9.88528
42
.87691
.75321
.87907
.75696
.88121
.76069
.88332
.76440
.88542
.76810
18
44+%6
.87695
.75337
.87911
.75702
.88124
.76075
.88336
.76447
.88545
.76816
16
46
.87699
.75333
.87914
.75708
.88128
.76082
.88339
.76453
.88549
.76823
14
48+%l
9.87702
0.75339
9.87918
0.75714
9.88131
0.76088
9.88343
0.76459
9.88552
0.76828
12
50
.87706
.75346
.87921
.75721
.88135
.76094
.88346
.76465
.88556
.76834
10
52+28
.87709
.75352
.87925
.75727
.88139
.76100
.88350
.76471
.88559
.76840
8
54
.87713
.75358
.87929
.75733
.88142
.76106
.88353
.76477
.88562
.76847
6
56+29
9.87717
0.75364
9.87932
0.75739
9.88146
0.76113
9.88357
0.76484
9.88566
0.76853
4
58
.87720
.75371
.87936
.75746
.88149
.76119
.88360
.76490
.88569
.76859
2
60+30
9.87724
0.75377
9.87939
0.75752
9.88153
0.76125
9.88364
0.76496 9.88573
0.76865
15^ 58m
15h sem
15h 54m
15^ 52m 1 15h 50m
TABLE ly. [Page 141
Haversinea.
s '
^'^iO™ 122° 30^
8^ 12m 123° 0'
8h 14m 1330 30/
8h 16m 134° o'
8h 18^ 124° 30^
s
Log. Ilav
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.88573
0.76865
9.8S7S0
0.77232
9.88984
0.77597
9.89187
0.77960
9.89387
0.78320
60
^
.88576
.76871
.88783
.77238
.88988
.77603
.89190
.77966
.89391
.78326
58
4+ 1
.88580
.76877
.88787
.77244
.88991
.77609
.89194
.77972
.89394
.78332
56
6
.88583
.76883
.88790
.77250
.88995
.77615
.89197
.77978
.89397
.78338
54
S+ 3
9.88587
0.76890
9.88793
0.77256
9.88998
0.77621
9.89200
0.77984
9.89400
0.78344
59.
10
.88590
.76896
.88797
.77262
.89001
.77627
.89204
.77990
.89404
.78350
50
12+ 3
.88594
.76902
.88800
.77269
.89005
.77633
.89207
.77996
.89407
.78356
48
14
.88597
.76908
.88804
.77275
.89008
.77639
.89210
.78002
.89411
.78362
46
16+ 4
9.88600
0.76914
9.88807
0.77281
9.89012
0.77645
9.89214
0.78008
9.89414
0.78368
44
18
.88604
.76920
.88811
.77287
.89015
.77651
.89217
.78014
.89417
.78374
42
20+ 5
.88607
.76926
.88814
.77293
.89018
.77657
.89221
.78020
.89421
.78380
40
22
.88611
.76932
.88817
.77299
.89022'
.77664
.89224
.78026
.89424
.78386
38
24+ 6
9.88614
.076939
9.88821
0.77305
9.89025
0.77670
9.89227
0.78032
9.89427
0.78392
36
26
.88618
.76945
.88824
.77311
.89028
.77676
.89231
.78038
.89431
.78398
34
28+ 7
.88621
.76951
.88828
.77317
.89032
.77682
.89234
.78044
.89434
.78404
32
SO
.88625
.76957
.88831
.77323
.89035
.77688
.89237
.78050
.89437
.78410
30
S2+ 8
9.88628
0.76963
9.88835
0.77329
9.89039
0.77694
9.89241
0.78056
9.89441
0.78416
28
5-^
.88632
.76969
.88838
.77336
.89042
.77700
.89244
.78062
.89444
.78422
26
56+ 9
.88635
.76975
.88841
.77342
.89045
.77706
.89247
.78068
.89447
.78428
24
38
.88639
.76981
.88845
.77348
.89049
.77712
.89251
.78074
.89450
.78434
22
40+10
9.88642
0.76988
.9.88848
0.77354
9.89052
0.77718
9.89254
0.78080
9.89454
0.78440
20
42
.88645
.76994
.88852
.77360
.89056
.77724
.89257
.78086
.89457
.78448
18
u+n
.88649
.77000
.88855
.77366
.89059
.77730
.89261
.78092
.89460
.78452
16
46
.88652
.77006
.88858
.77372
.89062
.77736
.89264
.78098
.89464
.78458
14
48+Vi
9.88656
0.77012
9.88862
0.77378
9.89066
0.77742
9.89267
0.78104
9.89467
0.78464
12
50
.88659
.77018
.88865
.77384
.89069
.77748
.89271
.78110
.89470
.78470
10
5f+13
.88663
.77024
.88869
.77390
.89072
.77754
.89274
.78116
.89474
.78476
8
54
.88666
.77030
.88872
.77396
.89076
.77760
.89277
.78122
.89477
.78482
6
56+14
9.88670
0.77036
9.88876
0.77403
9.89079
0.77766
9.89281
0.78128
9.89480
0.78488
4
55
9.88673
0.77043
9.88879
0.77409
9.89083
0.77772
9.89284
0.78134
.9.89484
0.78494
2
15T^ 49m
15^ 47m
15h4Sm
15h43m
i5h 41m
B '
0+15
8h lim 133° 3(y
8h ism 133° iy
8h 15m 133° 3(K
8h 17m 124° (K
8h 19m 124° 3(K
8
9.88677
0.77049
9.88882
0.77415
9.89086
0.77779
9.89287
0.78140
9.89487
0.78500
60
2
.88680
.77055
.88886
.77412
.89089
.77785
.89291
.78146
.89490
.78506
58
4+16
.88683
.77061
.88889
.77427
.89093
.77791
.89294
.78152
.89493
.78512
56
6
.88687
.77067
.88893
.77433
.89096
.77797
.89298
.78158
.89497
.78518
54
8+11
9.88690
0.77073
9.88896
0.77439
9.89099
0.77803
9.89301
0.78164
9.89500
0.78524
52
10
.88694
.77079
.88899
.77445
.89102
.77809
.89304
.78170
.89503
.78530
50
12+lS
.88697
.77085
.88903
.77451
.89106
.77815
.89308
.78176
.89507
.78536
48
14
.88701
.77092
.88906
.77457
.89110
.77821
.89311
.78182
.89510
.78542
46
16+19
9.88704
0.77098
9.88910
0.77463
9.89113
0.77827
9.89314
0.78188
9.89513
0.78548
U
18
.88708
.77104
.88913
.77469
.89116
.77833
.89318
.78194
.89517
.78554
42
20+20
.88711
.77110
.88916
.77475
.89120
.77839
.89321
.78200
.89520
.78560
40
22
.88714
.77116
.88920
.77482
.89123
.77845
.89324
.78206
.89523
.78566
38
24+21
9.88718
0.77122
9.88923
0.77488
9.89126
0.77851
9.89328
0.78212
9.89527
0.78572
36
26
.88721
.77128
.88927
.77494
.89130
.77857
.89331
.78218
.89530
.78577
34
28+22
.88725
.77134
.88930
.77500
.89133
.77863
.89334
.78224
.89533
.78583
32
SO
.88728
.77140
.88933
.77506
.89137
.77869
.89338
.78230
.89536
.78589
30
S2+2S
9.88732
0.77147
9.88937
0.77512
9.89140
0.77875
9.89341
0.78236
9.89540
0.78595
28
S4
.88735
.77153
.88940
.77518
.89143
.77881
.89344
.78242
.89543
.78601
26
S6+2i:
.88739
.77159
.88944
.77524
.89147
.77887
.89348
.78248
.89546
.78607
24
S8
.88742
.77165
.88947
.77530
.89150
.77893
.89351
.78254
.89550
.78613
22
20
40+25
9.88745
0.77171
9.88950
0.77536
9.89153
0.77899
9.89354
0.78260
9.89553
0.78619
42
.88749
.77177
.88954
.77542
.89157
.77905
.89358
.78266
.89556
.78625
18
44+26
.88752
.77183
.88957
.77548
.89160
.77911
.89361
.78272
.89559
.78531
16
46
.88756
.77189
.88961
.77554
.89163
.77917
.89364
.78278
.89563
.78637
14
45+27
9.88759
0.77195
9.88964
0.77560
9.89167
0.77923
9.89368
0.78284
9.89566
0.78643
12
50
.88763
.77201
.88967
.77567
.89170
.77929
.89371
.78290
.89569
.78649
10
52+2S
.88766
.77208
.88971
.77573
.89174
.77936
.89374
.78296
.89573
.78655
8
54
.88769
.77214
.88974
.77579
.89177
.77942
.89378
.78302
.89576
.78661
6
56+29
9.88773
0.77220
9.88978
0.77585
9.89180
0.77948
9.89381
0.78308
9.89579
0.78667
4
58
.88776
.77226
.88981
.77591
.89184
.77954
.89384
.78314
.89583
.78673
2
60+30
9.88780
0.77232
9.88984
0.77597
9.89187
0.77960
9.89387
0.78320
9.89586
0.78679
15h4Srn 1
15h 46^ 1
15h 44m 1
J5h 42m 1
15h 40m 1
Page 142] TABLE IV. |
Saversines,
• 8 ;. '
8h 20m 125° r
8^^ 22m 135° 30'
8h 24'^ 126° 0'
8h 26m 126° 30'
8h 28m 1370 (/
3
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
9.89586
0.78679
9.89782
0.79035
9.89976
0.79389
9.90168
0.79741
9.90358
O.S0091
60
'2
.89589
.78685
.89785
.79041
.89979
.79395
.90171
.79747
.90361
.80097
58
4+ 1
.89592
.78691
.89789
.79047
.89983
.79401
.90175
.79753
.90365
.80103
56
6
.89596
.78697
.89792
.79053
.89986
.79407
.90178
.79759
.90368
.80108
54
52
8+ 2
9.89599
0.78703
9.89795
0.79059
9.89989
0.79413
9.90181
0.79765
9.90371
0.80114
10
.89602
.78709
.89798
.79065
.89992
.79419
.90184
.79770
.90374
.80120
50
12+ 3
.89606
.78715
.89802
.79071
.89995
.79425
.90187
.79776
.90377
.80126
48
U
.89609
.78721
.89805
.79077
.89999
.79430
.90191
.79783
.90380
.80131
46
16-\- i
9.89612 1 0.78726
9.89808
0.79082
9.90002
0.79436
9.90194
0.79788
9.90383
0.80137
44
18
.89615
.78732
.89811
.79088
.90005
.79442
.90197
.79794
.90387
.80143
42
20-{- 5
.89619
.78738
.89815
.79094
.90008
.79448
.90200
.78800
.90390
.80149
40
22
.89622
.78744
.89818
.79100
.90012
.79454
.90203
.79805
.90393
.80155
38
24+ 6
9.89625
0.78750
9.89821
0.79106
9.90015
0.79460
9.90206
0.79811
9.90396
0.80160
36
26
.89628
.78756
.89824
.79112
.90018
.79466
.90210
.79817
.90399
.80166
34
28+ 7
.89632
.78762
.89828
.79118
.90021
.79471
.90213
.79833
.90402
.80172
32
SO
.89635
.78768
.89831
.79124
.90024
.79477
.90216
.79839
.90405
.80178
SO
32+ 8
9.89638
0.78774
9.89834
0.79130
9.90028
0.79483
9.90219
0.79835
9.90409
0.80184
28
34
.89642
.78780
.89837
.79136
.90031
.79489
.90222
.79840
.90412
.80189
26
36+ 9
.89645
.78786
.89840
.79143
.90034
.79495
.90225
.70846
.90415
.80195
24
38
.89648
.78792
.89844
.79148
.90037
.79501
.90229
.79853
.90418
.80201
22
40+10
9.89651
0.78798
9.89847
0.79153
9.90040
0.79507
9.90232
0.79858
9.90421
0.80307
20
42
.89655
.78804
.89850
.79159
.90044
.79513
.90235
.79864
.90425
.80313
18
44+11
.89658
.78810
.89853
.79165
.90047
.79519
.90238
.79870
.90428
.80318
16
46
.89661
.78816
.89857
.79171
.90050
.79524
.90241
.79875
.90431
.80334
14
48+lZ
9.89665
0.78822
9.89860
0.79177
9.90053
0.79530
9.90244
0.79881
9.90434
0.80330
12
50
.89668
.78828
.89863
.79183
.90056
.79536
.90248
.79887
.90437
.80336
10
52+li
.89671
.78834
.89866
.79189
.90060
.79542
.90251
.79899
.90440
.80343
8
54
.89674
.78839
.89870
.79195
.90063
.79548
.90254
.79893
.90443
.80347
6
56+11
9.89678
0.78845
9.89873
0.79201
9.90066
0.79554
9.90257
0.79905
9.90446
0.80353
4
58
9.89681
0.78851 9.89876
0.79207
9.90069
0.79560
9.90260
0.79910
.9.90449
0.80359
2
15h 39m [ 15Ji37m j l5h 35^
15h SSm
15h Sim
8^'
0+15
8h 21m 125° 0^
gn 23m 125° 30'
5ft 25^ 126° 0'
8h 27m 126° 3r
8h 29m 137° 0'
s
60
9.89684
0.78857
9.89879
0.79212
.9.90072
0.79565
9.90264
0.79916
9.90452
0.80^5
2
.89687
.78863
.89883
.79218
.90076
.79571
.90267
.79922
.90456
.80270
58
•4+16
.89691
.78869
.89886
.79224
.90079
.79577
.90270
.79928
.90459
.80376
56
6
.89694
.78875
.89889
.79230
.90082
.79583
.90273
.79934
.90462
.80282
54
8+1-1
9.89697
0.78881
9.89892
0.79236
9.90085
0.79589
9.90276
0.79940
9.90465
0.80288
52
10
.89701
.78887
.89896
.79243
.90088
.79595
.90279
.79945
.90468
.80294
50
12+1%
.89704
.78893
.89899
.79348
.90092
.79601
.90282
.79951
.90471
.80299
48
14
.89707
.78899
.89902
.79354
.90095
.79607
.90286
.79957
.90475
.80305
46
16+19
9.89710
0.78905
9.89905
0.79260
9.90098
0.79612
9.902S9
0.79963
9.90478
0.80311
44
18
.89714
.78911
.89908
.79266
.90101
.79618
.90292
.79969
.90481
.80317
42
20+30
.89717
.78917
.89912
.79271
.90104
.79624
.90295
.79974
.90484
.80323
40
22
.89720
.78923
.89915
.79277
.90108
.79630
.90298
.79980
.90487
.80328
38
24+21
9.89723
0.78928
9.89918
0.79383
9.90111
0.79636
9.90301
0.79986
9.90490
0.80334
36
26
.89727
.78934
.89921
.79289
.90114
.79642
.90305
.79992
.90493
.80340
34
28+22
.89730
.78940
.89925
.79295
.90117
.79648
.90308
.79998
.90496
.80346
32
SO
.89733
.78946
.89928
.79301
.90120
.79653
.90311
.80004
.90499
.80351
30
32+23
9.89736
0.78952
9.89931
0.79307
9.90124
0.79659
9.90314
0.80009
9.90503
0.80357
28
34
.89740
.78958
.89934
.79313
.90127
.79665
.90317
.80015
.90506
.80363
26
36+21
.89743
.78964
.89938
.79319
.90130
.79671
.90320
.80021
.90509
.80369
24
38
.89746
.78970
.89941
.79325
.90133
.79677
.90324
.80027
.90512
.80375
22
40+15
9.89749
0.78976
9.89944
0.79330
9.90136
0.79683
9.90327
0.80033
9.90515
0.80380
20
42
.89753
.78982
.89947
.79336
.90140
.79688
.90330
.80038
.90518
.80386
18
U+2^
.89756
.78988
.89950
.79342
.90143
.79694
.90333
.80044
.90521
.80392
16
46
.89759
.78994
.89954
.79348
.90146
.79700
.90336
.80050
.90524
.80398
14
48+21
9.89763
0.79000
.9.89957
0.79354
9.90149
0.79706
9.90339
0.80056
9.90527
0.80403
12
50
.89766
.79006
.89960
.79360
.90152
.79712
.90342
.80062
.90531
.80409
10
52+2S
.89769
.79011
.89963
.79366
.90356
.79718
.90346
.80068
.90534
.80415
8
54
.89772
.79017
.89966
.79372
.90159
.79724
.90349
.80073
.90537
.80421
6
56+39
9.89776
0.79023
9.89970
0.79377
9.90162
0.79729
9.90352
0.80079
9.90540
0.80427
4
55
.89779
.79029
.89973
.79383
.90165
.79735
.90355
.80085
.90543
.80433
2
60+30
9.89782
0.79035
9.89976
0.79389
9.90168
0.79741
9.90358
0.80091
9.90546
0.80438
i5A 38m 1
15^ 36m 1
15^ 34m 1
15f^ S2m 1
ISf^SOm
TABLE IV. [Page 143
Haversinea.
s ;
8h SOm 127° 30'
Sh 32m 128° 0'
8h 34m 128° 30'
8h 36m 129° 0'
8h 38m 129° W
a
Log. Hav.
Nat. Hav.
Log. Ilav.
Nat. Hav.
Log. Ilav.
Nat. nav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
2
4+1
6
9.90546
.90549
.90552
.90556
0.80438
.80444
.80450
.80455
9.90732
.90735
.90738
.90741
0.80783
.80789
.80795
.80800
9.90916
.90919
.90922
.90925
0.81126
.81131
.81137
.81143
9.91098
.91101
.91104
.91107
0.81466
.81472
.81477
.81483
9.91277
.91280
.91283
.91286
0.81804
.81810
.81815
.81821
60
58
56
54
S+ 2
10
12+ 3
14
16+ 4
18
20+ 6
22
9.90559
.90562
.90565
.90568
9.90571
.90574
.90577
.90580
0.80461
.80467
.80473
.80478
0.80484
.80490
.80496
.80503
9.90744
.90747
.90751
.90754
9.90757
.90760
.90763
.90766
0.80806
.80812
.80817
.80823
0.80829
.80835
.80840
.80846
9.90928
.90931
.90934
.90937
9.90940
.90943
.90946
.90949
0.81148
.81154
.81160
.81165
0.81171
.81177
.81183
.81188
9.91110
.91113
.91110
.91119
9.91122
.91125
.91128
■ .91131
0.81489
.81494
.81500
.81506
0.81511
.81517
.81523
.81528
9.91289
.91292
.91295
.91298
9.91301
.91304
.91307
.91310
0.81826
.81832
.81838
.81843
0.81849
.81854
.81860
.81866
52
50
48
46
44
42
40
38
24+ 6
26
28+ 7
SO
32+ 8
34
36+ 9
38
9.90584
.90587
.90590
.90593
9.90596
.90599
.90602
.90605
0.80507
.80513
.80519
.80525
0.80530
.80536
.80542
.89548
9.90769
.90772
.90775
.90778
9.90781
.90784
.90787
.90790
0.80852
.80858
.80863
.80869
0.80875
.80880
.80886
.80892
9.90952
.90955
.90958
.90962
9.90965
.90968
.90971
.90974
0.81194
.81200
.81205
.81211
0.81217
.81222
.81228
.81234
9.91134
.91137
.91140
.91143
9.91146
.91149
.91152
.91155
0.81534
.81539
.81545
.81551
0.81556
.81562
.81568
.81573
9.91313
.91316
.91319
.91322
9.91325
.91328
.91331
.91334
0.81871
.81877
.81882
.81888
0.81894
.81899
.81905
.81910
36
34
32
30
28
26
24
22
40+U
42
44+11
46
48+12
50
5f+13
54
9.90608
.90611
.90615
.90618
9.90621
.90624
.90627
.90630
0.80553
.80559
.80565
.80571
0.80576
.80582
.80588
.80594
9.90794
.90797
.90800
.90803
9.90806
.90809
.90812
.90815
0.80898
.80903
.80909
.80915
0.80920
.80926
.80932
.80938
9.90977
.90980
.90983
.90986
9.90989
.90992
.90995
.90998
0.81239
.81245
.81251
.81256
0.81262
.81268
.81273
.81279
9.91158
.91161
.91164
.91167
9.91170
.91173
.91176
.91179
0.81579
.81585
.81590
.81596
0.81601
.81607
.81613
.81618
9.91337
.91340
.91343
.91346
9.91349
.91352
.91355
.91358
0.81916
.81922
.81927
.81933
0.81938
.81944
.81950
.81955
20
18
16
14
12
10
8
6
56+U
58
9.90633
9.90636
0.80599
0.80605
9.90818
9.90821
0.80943
0.80949
9.91001
9.91004
0.81285
0.81291
9.91182
9.91185
0.81624
0.81630
9.91361
9.91364
0.81961
0.81966
4
2
15^ 29m
15h 27m
15h 25m
15h 23m
15h 21m
s '
0+15
2
4+1%
6
8h Sim 127° 3(K
Sh 33m 128° r
8h 35m 128° 30^
Sh 37m 129° 0'
8h 39m 139° scK
s
60
58
56
54
9.90639
.90642
.90646
.90646
0.80611
.80617
.80622
.80628
9.90824
.90827
.90830
.90833
0.80955
.80960
.80966
.80972
9.91007
.91010
.91013
.91016
0.81296
.81302
.81308
.81313
9.91188
.91191
.91194
.91197
0.81635
.81641
.81647
.81652
9.91367
.91369
.91372
.91375
0.81972
.81978
.81983
.81989
8+n
10
12+18
14
16+19
18
20+20
22
9.90652
.90655
.90658
.90661
9.90664
.90667
.90670
.90673
0.80634
.80640
.80645
.80651
0.80657
.80663
.80668
.80674
9.90836
.90840
.90843
.90846
9.90849
.90852
.90855
.90858
0.80978
.80983
.80989
.80995
0.81000
.81006
.81012
.81017
9.91019
.91022
.91025
.91028
9.91031
.91034
.91037
.91040
0.81319
.81325
.81330
.81336
0.81342
.81347
.81353
.81359
9.91200
.91203
.91206
.91209
9.91212
.91215
.91218
.91221
0.81658
.81663
.81669
.81675
0.81680
.81686
.81692
.81697
9.91378
.91381
.91384
.91387
9.91390
.91393
.91396
.91399
0.81994
.82000
.82005
.82011
0.82017
.82022
.82028
.82033
52
50
48
46
U
42
40
38
24+21
26
28+22
SO
32+2Z
34
36+24:
38
9.90676
.90680
.90683
.90686
9.90689
.90692
.90695
.90698
0.80680
.80686
.80691
.80697
0.80703
.80709
.80714
.80720
9.90861
.90864
.90867
.90870
9.90873
.90876
.90879
.90882
0.81023
.81029
.81035
.81040
0.81046
.81052
.81057
.81063
9.91043
.91046
.91049
.91052
9.91055
.91058
.91061
.91064
0.81364
.81370
.81376
.81381
0.81387
.81392
.81398
.81404
9.91224
.91227
.91230
.91233
9.91236
.91239
.91242
.91245
0.81703
.81708
.81714
.81720
0.81725
.81731
.81737
.81742
9.91402
.91405
.91408
.91411
9.91414
.91417
.91420
.91423
0.82039
.82045
.82050
.82056
0.82061
.82067
.82072
.82078
36
34
32
30
28
26
24
22
40+25
42
U+2Q
46
48+27
50
52+2S
54
9.90701
.90704
.90707
.90710
9.90714
.90717
.90720
.90723
0.80726
.80731
.80737
.80743
0.80749
.80754
.80760
.80766
9.90885
.90888
.90892
.90895
9.90898
.90901
.90904
.90907
0.81068
.81074
.81080
.81086
0.81092
.81097
.81103
.81109
9.91067
.91071
.91074
.91077
9.91080
.91083
.91086
.91089
0.81409
.81415
.81421
.81426
0.81432
.81438
.81443
.81449
9.91248
.91251
.91254
.91257
9.91260
.91263
.91265
.91268
0.81748
.81753
.81759
.81765
0.81770
.81776
.81781
.81787
9.91426
.91429
.91432
.91435
9.91437
.91440
.91443
.91446
0.82084
.82089
.82095
.82100
0.82106
.82112
.82U7
.82123
20
18
16
14
12
10
8
6
56+29
58
60+30
9.90726
.90729
9.90732
0.80772
.80777
0.80783
9.90910
.90913
9.90916
0.81114
.81120
0.81126
9.91092
.91095
9.91098
0.81455
.81460
0.81466
9.91271
.91274
9.91277
0.81793
.81798
0.81804
9.91449
.91452
9.91455
0.82128
.82134
0.82139
4
2
15h 28m
15h 26m
15h 24m
15h 22m
15h20m
Page 144] TABLE IV. |
Haversines. 1
s '
5^40^ 130° 0^
8fi 42^ 130° 3r
5ft U^ 131° O'
8h 46m 131° 3(K
5ft45'nl32°r 1
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.91455
0.83139
9.91631
0.82472
9.91805
0.83803
9.91976
0.83131
9.92146
0.83457
60
.91458
.83145
.91634
.83478
.91807'
.83808
.91979
.83136
.92149
.83462
58
4+ 1
.91461
.82151
.91637
.83483
.91810
.83814
.91982
.83142
.92152
.83467
56
6
.91464
.83156
.91640
.83489
.91813
.83819
.91985
.83147
.92154
.83473
54
8+ 2
9.91467
0.82163
9.91643
0.83495
9.91816
0.83835
9.91988
0.83153
9.92157
0.83478
52
10
.91470
.83167
.91645
.83500
.91819
.83830
.91991
.83158
.92160
.83484
50
12+ 4
.91473
.83173
.91648
.83506
.91822
.83836
.91993
.83164
.92163
.83489
48
14
.91476
.83178
.91651
.83511
.91825
.83841
.91996
.83169
.92166
.83494
46
16+ 4
9.91479
0.83184
9.91654
0.83517
9.91828
0.83847
9.91999
0.83175
9.92169
0.83500
44
18
.91482
.83189
.91657
.83533
.91830
.83853
.92002
.83180
.92171
.83505
42
20+ 5
.91485
.83195
.91660
.83538
.91833
.83858
.92005
.83185
.92174
.83511
40
22
.91488
.83300
.91663
.83533
.91836
.83863
.92008
.83191
.92177
.83516
38
24+ 6
9.91490
0.83306
9.91666
0.83539
9.91839
0.83869
9.92010
0.83196
9.92180
0.83521
36
26
.91493
.83313
.91669
.83544
.91842
.83874
.92013
.83303
.92183
.83527
34
28+ 7
.91496
.83317
.91672
.83550
.91845
.83880
.92016
.83307
.92185
.83533
32
SO
.91499
.83233
.91674
.83555
.91848
.83885
.92019
.83313
.92188
.83538
30
S2+ 8
9.91502
0.83338
9.91677
0.83561
9.91851
0.83891
9.92022
0.83318
9.92191
0.83543
28
34
.91505
.83334
.91680
.82566
.91853
.83896
.92025
.83334
.92194
.83548
26
36+ 9
.91508
.83340
.91683
.82572
.91856
.82902
.92027
.83339
.92197
.83554
24
38
.91511
.83345
.91686
.83577
.91859
.82907
.92030
.83334
.92199
.83559
22
4^+10
9.91514
0.82251
9.91689
0.83583
9.91862
0.82913
9.92033
0.83340
9.92202
0.83564
20
4^
.91517
.83356
.91692
.83588
.91865
.83918
.92036
.83345
.92205
.83570
18
■^+11
.91520
.83363
.91695
.83594
.91868
.83934
.92039
.83351
.92208
.83575
16
46
.91523
.83367
.91698
.83599
.91871
.83939
.92042
.83356
.92211
.83581
14
48+n
9.91526
0.83373
9.91701
0.83605
9.91874
0.83934
9.92044
0.83363
9.92213
0.83586
12
50
.91529
.83378
.91703
.82610
.91876
.83940
.92047
.83367
.92216
.83591
10
5^+13
.91532
.83384
.91706
.83616
.91879
.83945
.92050
.83373
.92219
.83597
8
54
.91534
.83390
.91709
.83631
.91882
.83951
.92053
.83278
.92222
.83602
6
56+14
9.91537
0.83395
9.91712
0.83637
9.91885
0.83956
9.92056
0.83383
9.92225
0.83608
4
58
9.91540
0.83301
9.91715
0.83632
9.91888
0.83963
9.92059
0.83389
9.92227
0.83613
2
15h 19m
15h 17m
15^ 15m
15Ji 13m
15h 11m
s '
0+15
8h 41m 130° 0^
Sh 43m 130° 30^
8h 45m 131° 0'
8h 47m 131° 30:
8h 49m 132° r
s
60
9.91543
0.83306
9.91718
0.83638
9.91891
0.83967
9.92061
0.83394
9.92230
0.83618
2
.91546
.83313
.91721
.83644
.91894
.83973
.92064
.83300
.92233
.83634
58
4+16
.91549
.83317
.91724
.83649
.91896
.83978
.92067
.83305
.92236
.83639
56
6
.91552
.83333
.91727
.83655
.91899
.83984
.92070
.83310
.92239
.83635
54
5+17
9.91555
0.83338
9.91730
0.83860
9.91902
0.83989
9.92073
0.83316
9.92241
0.83640
52
iO
.91558
.83334
.91732
.83666
.91905
.83995
.92076
.83331
.92244
.83645
50
J^+18
.91561
.83339
.91735
.83671
.91908
.83000
.92078
.83327
.92247
.83651
48
14
.91564
.83345
.91738
.83677
.91911
.83006
.92081
.83332
.92250
.83656
46
16+19
9.91567
0.83351
9.91741
0.83683
9.91914
0.83011
9.92084
0.83337
9.92253
0.83661
U
18
.91570
.83356
.91744
.83688
.91916
.83016
.92087
.83343
.92255
.83667
42
fO+20
.91573
.83363
.91747
.83693
.91919
.83033
.92090
.83348
.92258
.83673
40
22
.91575
.83367
.91750
.83699
.91922
.83037
0.83033
.92093
.83354
.92261
.83678
38
24+91
9.91578
0.83373
9.91753
0.83704
9.91925
9.92095
0.83359
9.92264
0.83683
36
26
.91581
.83378
.91756
.83710
.91928
.83038
.92098
.83365
.92266
.83688
34
28+2^
.91584
.83384
.91758
.83715
.91931
.83044
.92101
.83370
.92269
.83694
32
SO
.91587
.83389
.91761
.83731
.91934
.83049
.92104
.83375
.92272
.83699
SO
32+2S
9.91590
0.83395
9.91764
0.83736
9.91936
0.83055
9.92107
0.83381
9.92275
0.83704
28
34
.91593
.83400
.91767
.83733
.91939
.83060
.92109
.83386
.92278
.83710
26
56+24
.91596
.83406
.91770
.83737
.91942
.83066
.92112
.83392
.§2280
.83715
24
38
.91599
.83413
.91773
.83743
.91945
.83071
.92115
.83397
.92283
.83730
22
20
40+25
9.91602
0.83417
9.91776
0.83748
9.91948
0.83077
9.92118
0.83402
9.92286
0.83736
42
.91605
.83433
.91779
.83754
.91951
.83083
.92121
.83408
.92289
.83731
18
44+26
.91608
.83438
.91782
.83759
.91954
.83087
.92124
.83413
.92292
.83737
16
46
.91610
.83434
.91784
.83765
.91956
.83093
.92126
.83419
.92294
.83743
14
4^+27
9.91613
0.83439
9.91787
0.83770
9.91959
0.83098
9.92129
0.83424
9.92297
0.83747
12
50
.91616
.83445
.91790
.83776
.91962
.83104
.92132
.83430
.92300
.83753
10
5^+28
.91619
.83450
.91793
.83781
.91965
.83109
.92135
.83435
.92303
.83758
8
54
.91622
.83456
.91796
.83786
0.83793
.91968
.83115
.92138
.83440
.92305
.83763
6
56+29
9.91625
0.83461
9.91799
9.91971
0.83130
9.92140
0.83446
9.92308
0.83769
4
55
.91628
.82467
.91802
.83797
.91973
.83126
.92143
.83451
.92311
.83774
2
60+30
9.91631
0.82473
9.91805
0.83803
9.91976
0.83131
9.92146
0.83457
9.92314
0.83780
15hl8m
15h 16m
15h 14m
15^ 12m
15h lom
TABLE IV. [Page 145
Havereines.
s '
8h 50m 133° 30' |
Sh 52"* 133° 0'
Sfi 54^ 133° 30' 1
5ft56"H34°0' 1
8h 58m 134° 30^
s
60
58
56
54
Log. Hav.
Nat. Hav.
Log. Hav. Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
2
4+1
6
9.92314
.92317
.92319
.92322
0.83780
.83785
.83790
.83796
9.92480
.92482
.92485
.92488
0.84100
.84105
.84111
.84116
9.92643
.92646
.92649
.92652
0.84418
.84433
.84438
.84434
9.92805
.92808
.92811
.92813
0.84733
.84738
.84743
.84749
9.92965
.92968
.92970
.92973
0.85045
.85051
.85056
.85061
8+ 2
10
12+ 3
14
16+ 4
18
20+ 5
22
9.92325
.92328
.92330
.92333
9.92336
.92339
.92342
.92344
0.83801
.83806
.83813
.83817
0.83833
.83838
.83833
.83838
9.92491
.92493
.92496
.92499
9.92502
.92504
.92507
.92510
0.84131
.84137
.84133
.84137
0.84143
.84148
.84153
.84158
9.92654
.92657
.92660
.92662
9 92665
.92668
.92670
.92673
0.84439
.84444
.84449
.84455
0.84460
.84465
.84470
.84476
9.92816
.92819
.92821
.92824
9.92827
.92829
.92832
.92835
0.84754
.84759
.84764
.84770
0.84775
.84780
.84785
.84790
9.92975
.92978
.92981
.92984
9.92986
.92989
.92992
.92994
0.85066
.85071
.85077
.85083
0.85087
.85093
.85097
.85103
52
50
48
46
U
42
40
38
36
34
32
30
28
26
24
22
24+ 6
26
28+ 7
30
32+ 8
34
36+ 9
38
9.92347
.92350
.92353
.92355
9.92358
.92361
.92364
.92366
0.83844
.83849
.83855
.83860
0.83865
.83871
.83876
.83881
9.92512
.92515
.92518
.92521
9.92523
.92526
.92529
.92532
0.84164
.84169
.84174
.84180
0.84185
.84190
.84196
.84301
9.92676
.92679
.92681
.92684
9.92687
.92689
.92692
.92695
0.84481
.84486
.84493
.84497
0.84503
.84507
.84513
.84518
9.92837
.92840
.92843
.92845
9.92848
.92851
.92853
.92856
0.84796
.84801
.84806
.84811
0.84817
.84833
.84837
.84833
9.92997
.93001
.93002
.93005
9.93007
.93010
.93013
.93015
0.85108
.85113
.85118
.85133
0.85138
.85134
.85139
.85144
40+10
42
44+n
46
48+12
50
52+lZ
54
9.92369
.92372
.92375
.92378
9.92380
.92383
.92386
.92389
0.83887
.83893
.83897
.83903
0.83908
.83913
.83919
.83934
9.92534
.92537
.92540
.92543
9.92545
.92548
.92551
.92554
0.84306
.84311
.84317
.84333
0.84337
.84333
.84338
.84343
9.92698
.92700
.92703
.92706
9.92708
.92711
.92714
.92716
0.84533
.84538
.84534
.84539
0.84544
.84549
.84555
.84560
9.92859
.92861
.92864
.92867
9.92869
.92872
.92875
.92877
0.84837
.84843
.84848
.84853
0.84858
.84863
.84869
.84874
9.93018
.93021
.93023
.93026
9.93029
.93031
.93034
.93036
0.85149
.85154
.85159
.85165
0.85170
.85175
.85180
.85185
20
18
16
14
12
10
8
6
56+14
58
9.92391
9.92394
0.83939
0.83935
9.92556
9.92559
0.84349
0.84354
9.92719
9.92722
0.84565
0.84570
9.92880
9.92883
0.84879
0.84884
9.93039
9.93042
0.85190
0.85196
4
2
IShgm
IShTm
15h 5m
15^ 3™-
Uhim
B '
8h 5im 132° 30''
8h 53m 133° O'
8h 55m 133° 30^
8h 57m 134° r
8h 59m 134° 30'
B
0+15
2
4+ie
6
9.92397
.92400
.92402
.92405
0.83940
.83945
.83951
.83956
9.92562
.92564
.92567
.92570
0.84359
.84364
.84370
.84375
9.92725
.92727
.92730
.92733
0.84576
.84581
.84586
.84591
9.92885
.92888
.92891
.92893
0.84890
.84895
.84900
.84905
9.93044
.93047
.93050
.93052
0.85301
.85306
.85311
.85316
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
SO
28
26
24
22
8+n
10
12+lS
14
16+19
18
20+m
22
9.92408
.92411
.92413
.92416
9.92419
.92422
.92425
.92427
0.83961
.83967
.83973
.83977
0.83983
.83988
.83993
.83999
9.92573
.92575
.92578
.92581
9.92584
.92586
.92589
.92592
0.84380
.84386
.84391
.84396
0.84303
.84307
.84313
.84317
9.92735
.92738
.92741
.92743
9.92746
.92749
.92751
.92754
0.84597
.84603
.84607
.84612
0.84618
.84633
.84638
.84633
9.92896
.92899
.92901
.92904
9.92907
.92909
.92912
.92915
0.84910
.84916
.84931
.84936
0.84931
.84936
.84943
.84947
9.93055
.93057
.93060
.93063
9.93065
.93068
.93071
.93073
0.85331
.85337
.85333
.85337
0.85343
.85347
.85353
.85358
0.85363
.85368
.85373
.85378
0.85283
.85388
.85394
.85399
24+21
26
28+22
30
32+2Z
34 '
56+34
38
9.92430
.92433
.92436
.92438
9.92441
.92444
.92447
.92449
0.84004
.84009
.84015
.84030
0.84035
.84031
.84036
.84041
9.92594
.92597
.92600
.92603
9.92605
.92608
.92611
.92613
0.84333
.84338
.84333
.84339
0.84344
.84349
.84354
.84360
9.92757
.92760
.92762
.92765
9.92768
.92770
.92773
.92776
0.84639
.84644
.84619
.84654
0.84660
.84665
.84670
.84675
9.92917
.92920
.92923
.92925
9.92928
.92931
.92933
.92936
0.84963
.84957
.84963
.84968
0.84973
.84978
.84983
.84988
9.93076
.93079
.93081
.93084
9.93086
.93089
.93092
.93094
40+25
42
U+26
46
48+2:7
50
52+2S
54
9.92452
.92455
.92458
.92460
9.92463
.92466
.92469
.92471
0.84047
.84053
.84057
.84063
0.84068
.84073
.84079
.84084
9.92616
.92619
.92622
.92624
9.92627
.92630
.92633
.92635
9.92638
.92641
9.92643
0.84365
.84370
.84376
.84381
0.84386
.84391
.84397
.84403
9.92778
.92781
.92784
.92786
9.92789
.92792
.92794
.92797
0.84681
.84686
.84691
.84696
0.84703
.84707
.84713
.84717
9.92939
.92941
.92944
.92947
9.92949
.92952
.92955
.92957
0.84994
.84999
.85004
.85009
0.85014
.85030
.85035
.85030
9.93097
.93100
.93102
.93105
9.93107
.93110
.93113
.93115
0.85304
.85309
.85314
.85319
0.85334
.85330
.85335
.85340
0.85345
.85350
0.85355
20
18
16
14
12
10
8
6
4
2
56+29
58
60+30
9.92474
.92477
9.92480
0.84089
.84095
0.84100
0.84407
.84413
0.84418
9.92800
.92802
9.92805
0.84733
.84738
0.84733
9.92960
.92962
9.92965
0.85035
.85040
0.85045
9.93118
.93120
9.93123
15Ti'8m
15hem
15^ 4m
I5h2m
. 15^ Om
55901°— 18-
-10
Page 146] TABLE IV.
Haversines.
s '
9A 0^ 135°
5ft 4'" 136°
9A 8m 137°
9h 12m 138°
Shiem 139° 1
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
s
9.93123
0.85355
9.93433
0.85967
9.93736
0.86568
9.94030
0.87157
9.94318
0.87735
60
4 1
.93128
.85366
.93438
.85977
.93741
.86578
.94035
.87167
.94322
.87745
56
8 H
.93134
.85376
.93443
.85987
.93746
.86588
.94040
.87177
.94327
.87755
62
12 3
.93139
.85386
.93448
.85997
.93751
.86597
.94045
.87186
.94332
.87764
48
16 4
9.93144
0.85396
9.93454
0.86007
9.93755
0.86607
9.94050
0.87196
9.94336
0.87774
U
20 5
.93149
.85407
.93459
.86017
.93760
.86617
.94055
.87206
.94341
.87783
40
U 6
.93154
.85417
.93464
.86028
.93765
.86627
.94059
.87216
.94346
.87793
36
28 7
.93160
.85427
.93469
.86038
.93770
.86637
.94064
.87225
.94351
.87802
32
S2 8
9.93165
0.85438
9.93474
0.86048
9.93775
0.86647
9.94069
0.87235
9.94355
0.87812
28
36 9
.93170
.85448
.93479
.86058
.93780
.86657
.94074
.87245
.94360
.87821
24
40 10
.93175
.85458
.93484
.86068
.93785
.86667
.94079
.87254
.94365
.87831
20
44 11
.93181
.85468
.93489
.86078
.93790
.86677
.94084
.87264
.94369
.87840
16
4S 13
9.93186
0.85479
9.93494
0.86088
9.93795
0.86686
9.94088
0.87274
9.94374
0.87850
12
55 13
.93191
.85489
.93499
.86098
.93800
.86696
.94093
.87283
.94379
.87859
8
56 U
9.93196
0.85499
9.93504
0.86108
9.93805
0.86706
9.94098
0.87293
9.94383
0.87869
4
14h 59m
14h 55m
14k Sim
14h 47m
14h 43m
s '
gh im 135°
ghsm 136°
gh gm 137°
gh ism 138°
gh 17m 139°
s
15
9.93201
0.85509
9.93509
0.86118
9.93810
0.86716
9.94103
0.87303
9.94388
0.87878
60
4 16
.93207
.85520
.93515
.86128
.93815
.86726
.94108
.87313
.94393
.87888
66
5 17
.93212
.85530
.93520
.86138
.93820
.86736
.94112
.87322
.94398
.87897
52
12 18
.93217
.85540
.93525
.86148
.93825
.86746
.94117
.87332
.94402
.87907
48
16 19
9.93222
0.85550
9.93530
0.86158
9.93830
0.86756
9.94122
0.87342
9.94407
0.87916
44
;?0 20
.93227
.85560
.93535
.86168
.93835
.86765
.94127
.87351
.94412
.87926
40
24 n
.93232
.85571
.93540
.86178
.93840
.86775
.94132
.87361
.94416
.87935
36
28 22
.93238
.85581
.93545
.86189
.93845
.86785
.94137
.87371
.94421
.87945
32
32 23
9.93243
0.85591
9.93550
0.86199
9.93849
0.86795
9.94141
0.87380
9.94426
0.87954
28
56 24
.93248
.85601
.93555
.86209
.93854
.86805
.94146
.87390
.94430
.87964
24
40 25
.93253
.85612
.93560
.86219
.93859
.86815
.94151
.87400
.94435
.87973
20
44 26
.93258
.85622
.93565
.86229
.93864
.86825
.94156
.87409
.94440
.87983
16
45 27
9.93264
0.85632
9.93570
0.86239
9.93869
0.86834
9.94161
0.87419
9.94444
0.87992
12
62 28
.93269
.85642
.93575
.86249
.93874
.86844
.94165
.87428
.94449
.88001
8
56 29
9.93274
0.85652
9.93580
0.86259
9.93879
0.86854
9.94170
0.87438
9.94454
0.88011
4
14h 58m
14h 54m
14h 5om
14h 46m
14h 40m
s '
9k pn 135°
9h6m 136°
gh 10m 137°
9h 14m 138°
gh 18m 139°
s
30
9.93279
0.85663
9.93585
0.86269
9.93884
0.86864
9.94175
0.87448
9.94458
0.88020
60
4 31
.93284
.85673
.93590
.86279
.93889
.86874
.94180
.87457
.94463
.88030
56
5 32
.93289
.85683
.93595
.86289
.93894
.86884
.94184
.87467
.94468
.88039
52
12 33
.93295
.85693
.93600
.86299
.93899
.86893
.94189
.87477
.94472
.88049
48
i6 34
9.93300
0.85703
9.93605
0.86309
9.93904
0.86903
9.94194
0.87486
9.94477
0.88058
44
20 35
.93305
.85713
.93611
.86319
.93908
.86913
.94199
.87496
.94482
.88068
40
f4 36
.93310
.85724
.93616
.86329
.93913
.86923
.94204
.87505
.94486
.88077
36
28 37
.93315
.85734
.93621
.86339
.93918
.86933
.94208
.87515
.94491
.88086
32
55 38
9.93320
0.85744
9.93626
0.86349
9.93923
0.86942
9.94213
0.87525
9.94496
0.8S996
28
56 39
.93326
.85754
.93631
.86359
.93928
.86952
.94218
.87534
.94500
.88105
24
40 40
.93331
.85764
.93636
.86369
.93933
.86962
.94223
.87544
.94505
.88115
20
44 41
.93336
.85774
.93641
.86379
.93938
.86972
.94227
.87554
.94509
.88124
16
48 42
9.93341
0.85785
9.93646
0.86389
9.93943
0.86982
9.94232
0.87563
9.94514
0.88133
12
55 43
.93346
.85795
.93651
.86399
.93948
.86991
.94237
.87573
.94519
.88143
8
56 44
9.93351
0.85805
9.93656
0.86409
9.93952
0.87001
9.94242
0.87582
9.94523
0.88152
4
14>i 57m
14h 53m
14^ 49m ^
14h45m
14h 41m 1
s '
9h 3m 135°
9h im 136°
gh 11m 137°
9^ 15m 138°
gkigm 139° |
s
45
9.93356
0.85815
9.93661
0.86419
9.93957
0.87011
9.94246
0.87592
9.94528
0.88162
60
4 46
.93362
.85825
.93666
.86429
.93962
.87021
.94251
.87602
.94533
.88171
56
5 47
.93367
.85835
.93671
.86438
.93967
.87030
.94256
.87611
.94537
.88180
52
15 48
.93372
.85846
.93676
.86448
.93972
.87040
.94261
.87621
.94542
.88190
48
16 49
9.93377
0.85856
9.93681
0.86458
9.93977
0.87050
9.942G5
0.87630
9.94546
0.88199
U
50 50
.93382
.85866
.93686
.86468
.93982
.87060
.94270
.87640
.94551
.88309
40
54 51
.93387
.85876
.93691
.86478
.93987
.87070
.94275
.87649
.94556
.88218
36
55 53
.93392
.85886
.93696
.86488
.93991
.87079
.94280
.87659
.94560
.88227
32
55 53
9.93397
0.85896
9.93701
0.86498
9.93996
0.87089
9.94284
0.87669
9.94565
0.88237
28
36 54
.93403
.85906
.93706
.86508.
.94001
.87099
.94289
.87678
.94570
.88246
24
40 65
.93408
.85916
.93711
.86518
.94006
.87109
.94294
.87688
.94574
.88255
20
U 56
.93413
.85926
.93716
.86528
.94011
.87118
.94299
.87697
.94579
.88265
16
45 57
9.93418
0.85937
9.93721
0.86538
9.94016
0.87128
9.94303
0.87707
9.94583
0.88274
12
55 58
.93423
.85947
.93726
.86548
.94021
.87138
.^4308
.87716
.94588
.88284
8
66 59
.93428
.85957
.93731
.86558
.94026
.87148
.94313
.87726
.94593
.88293
4
60 60
9.93433
0.85967
9.93736
0.86568
9.94030
0.87157
9.94318
0.87735
9.94597
0.88302
14h 56m
1411 52m 1
14^ 48m
Uh 44m 1
14h 40m 1
TABLE IV. [Page 147
Havereines.
s '
9h 20!m 140°
9A 24^ 141°
gh 28m 142°
gh S2m 143°
gh S6m 144°
s
60
Log. Hav
Nat. Hav
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Ilav.
Log. Hav.
Nat. Hav.
9.94597
0.88302
9.94869
0.88857
9.95134
0.89401
9.95391
0.89932
9.95641
0.90451
4 1
.94602
.88312
.94874
.88866
.95138
.89409
.95396
.89941
.95645
.90459
56
8 2
.94606
.88321
.94878
.88876
.95143
.89418
.95400
.89949
.95649
.90468
52
12 3
.94611
.88330
.94883
.88885
.95147
.89427
.95404
.89958
.95654
.90476
48
16 4
9.94616
0.88340
9.94887
0.88894
9.95151
0.89436
9.95408
0.89967
9.95658
0.90485
44
20 5
.94620
.88349
.94892
.88903
.95156
.89445
.95412
.89976
.95662
.90494
40
24 6
.94625
.88358
.94896
.88912
.95160
.89454
.95417
.89984
.95666
.90502
36
28 7
.94629
.88368
.94901
.88921
.95164
.89463
.95421
.89993
.95670
.90511
32
5:? 8
9.94634
0.88377
9.94905
0.88930
9.95169
0.89472
9.95425
0.90002
9.95674
0.90519
28
S6 9
.94638
.88386
.94909
.88940
.95173
.89481
.95429
.90010
.95678
.90528
24
40 10
.94643
.88396
.94914
.88949
.95177
.89490
.95433
.90019
.95682
.90537
20
^ 11
.94648
.88405
.94918
.88958
.95182
.89499
.95438
.90028
.95686
.90545
16
48 n
9.94652
0.88414
9.94923
0.88967
9.95186
0.89508
9.95442
0.90037
9.95690
0.90553
12
52 13
.94657
.88423
.94927
.88976
.95190
.89517
.95446
.90045
.95694
.90562
8
56 14
9.94661
0.88433
9.94932
0.88985
9.95195
0.89526
9.95450
0.90054
9.95699
0.90570
4
14h sm
14^ 35m
14h Sim
14h 27m
14h 23m
s '
15
gh 2im 140°
gh 25^ 141°
gh 29m 142°
9^ 33m 143°
gh Sim 144°
s
60
9.94666
0.88442
9.94936
0.88994
9.95199
0.89534
9.95454
0.90063
9.95703
0.90579
4 16
.94670
.88451
.94941
.89003
.95203
.89543
.95459
.90071
.97507
.90588
56
5 17
.94675
.88461
.94945
.89012
.95208
.89552
.95463
.90080
.95711
.90596
52
12 18
.94680
.88470
.94950
.89022
.95212
.89561
.95467
.90089
.95715
.90604
48
i6 19
9.94684
0.88479
9.94954
0.89031
9.95216
0.89570
9.95471
0.90097
9.95719
0.90613
44
fO 20
.94689
.88489
.94958
.89040
.95221
.89579
.95475
.90106
.95723
.90621
40
f^ 21
.94693
.88498
.94963
.89049
.95225
.89588
.95480
.90115
.95727
.90630
36
f5 22
.94698
.88507
.94967
.89058
.95229
.89597
.95484
.90124
.95731
.90638
32
S2 23
9.94702
0.88516
9.94972
0.89067
0.95234
0.89606
9.95488
0.90132
9.95735
0.90647
28
56 24
.94707
.88526
.94976
.89076
.95238
.89614
.95492
.90141
.95739
.90655
24
40 25
.94711
.88535
.94981
.89085
.95242
.89623
.95496
.90150
.95743
.90664
20
44 26
.94716
.88544
.94985
.89094
.95246
.89632
.95501
.90158
.95747
.90672
16
4^ 27
9.94721
0.88553
9.94989
0.89103
9.95251
0.89641
9.95505
0.90167
9.95751
0.90680
12
52 28
.94725
.88563
.94994
.89112
.95255
.89650
.95509
.90176
.95755
.90689
8
56 29
9.94730
0.88572
9.94998
0.89121
9.95259
0.89659
9.95513
0.90184
9.95759
0.90697
4
Uh S8m
Wh 34'^
14^ 30m
14^ 26m
14h 22m
s '
30
gh 22Tn 140°
gh 26m 141°
9h SOm 142°
gh S4m 1430
gh sgm 144°
s
60
9.94734
0.88581
9.95003
0.89130
9.95264
0.89668
9.95517
0.90193
9.95763
0.90706
4 31
.94739
.88590
.95007
.89139
.95268
.89677
.95521
.90201
.95768
.90714
56
8 32
.94743
.88600
.95011
.89149
.95272
.89685
.95526
.90210
.95772
.90723
52
1^ 33
.94748
.88609
.95016
.89158
.95276
.89694
.95530
.90219
.95776
.90731
48
i6 34
9.94752
0.88618
9.95020
0.89167
9.95281
0.89703
9.95534
0.90227
9.95780
0.90740
U
20 35
.94757
.88627
.95025
.89176
.95285
.89712
.95538
.90236
.95784
.90748
40
f4 36
.94761
.88637
.95029
.89185
.95289
.89721
.95542
.90245
.95788
.90756
36
28 37
.94766
.88646
.95033
.89194
.95294
.89730
.95546
.90253
.95792
.90765
32
5:2 38
9.94770
0.88655
9.95038
0.89203
9.95298
0.89738
9.95550
0.90262
9.95796
0.90773
28
56 39
.94774
.88664
.95042
.89212
.95302
.89747
.95555
.90271
.95800
.90792
24
40 40
.94779
.88674
.95047
.89221
.95306
.89756
.95559
.90279
.95804
.90790
20
44 41
.94784
.88683
.95051
.89230
.95311
.89765
.95563
.90288
.95808
.90798
16
48 42
9.94788
0.88692
9.95055
0.89239
9.95315
0.89774
9.95567
0.90296
9.95812
0.90807
12
5:? 43
.94793
.88701
.95060
.89248
.95319
.89783
.95571
.90305
.95816
.90815
8
56 44
9.94797
0.88710
9.95064
0.89257
9.95323
0.89791
9.95575
0.90314
9.95820
0.90824
4
Uh Sim,
14h ssm
14''^ 29m
14h 25m
14^ 21m i
s '
45
gh2:pn U9°
gh 27m 141°
9h Sim 1430
9h 35m 143°
ghS9m 144°
s
60
9.94802
0.88720
9.95069
0.89266
9.95328
0.89800
9.95579
0.90322
9.95824
0.90832
4 46
.94806
.88729
.95073
.89275
.95332
.89809
.95584
.90331
.95828
.90840
56
5 47
.94811
.88738
.95077
.89284
.95336
■ .89818
.95588
.90339
.95832
.90849
52
if 48
.94815
.88747
.95082
.89293
.95340
.89827
.95592
.90348
.95836
.90857
48
16 49
9.94820
0.88756
9.95086
0.89302
9.75345
0.89835
9.95596
0.90357
9.95840
0.90866
44
fO 50
.94824
.88766
.95090
.89311
.95349
.89844
.95600
.90365
.95844
.90874
40
24 51
.94829
.88775
.95095
.89320
.95353
.89853
.95604
.90374
.95848
.90882
36
f5 52
.94833
.88784
.95099
.89329
.95357
.89862
.95608
.90382
.95852
.90891
32
5f 53
9.94838
0.88793
9.95104
0.89338
9.95362
0.89870
9.95613
0.90391
.9 95856
0.90899
28
36 54
.94842
.88802
.95108
.89347
.95366
.89879
.95617
.90399
.95860
.90907
24
40 55
.94847
.88811
.95112
.89356
.95370
.89888
.95621
.90408
.95864
.90916
20
U 56
.94851
.88821
.95117
.89365
.95374
.89897
.95625
.90417
.95868
.90924
16
4^ 67
9.94856
0.88830
9.95121
0.89374
9.95379
0.89906
9.95629
0.90425
9.95872
0.90933
12
5:2 58
.94860
.88839
.95125
.89383
.95383
.89914
.95633
.90434
.95876
.90941
8
56 59
.94865
.88848
.95130
.89392
.95387
.89923
.95637
.90442
.95880
.90949
4
60 60
9.94869
0.88857
9.95134
0.89401
9.95391
0.89932
9.95641
0.90451
9.95884
0.90958
14^ S6m 1
14^ S2m 1
14h 28m 1
14^ 24m 1
14h 20m 1
Page 148] TABLE IV. [
Haversines. 1
s '
9A 40m 145°
9h, 44m 146°
9h 48m 1470
gh 52m 148°
9li5&n 149°
s
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
Log. Hav
Nat. Hav
9.95884
0.90958
9.96119
0.91452
9.96347
0.91934
9.96568
0.92402
9.96782
0.92858
60
4
1
.95888
.90966
.96123
.91469
.96351
.91941
.96572
.92410
.96786
.92866
56
8
2
.95892
.90974
.96127
.91468
.96355
.91949
,96576
.92418
.96789
.92873
52
12
3
.95896
.90983
.96131
.91476
.96359
.91957
.96579
.92426
.96793
.93881
48
16
4
9.95900
0.90991
9.96135
0.91484
9.96362
0.91965
9.96583
0.92433
9.96796
0.93888
44
20
5
.95904
.90999
.96139
.91493
.96366
.91973
.96586
.92441
.96800
.93896
40
24
6
.95908
.91008
.96142
.91501
.96370
.91981
.96590
.92449
.96803
.93903
36
28
■?
.95912
.91016
.96146
.91509
.96374
.91989
.96594
.92456
.96807
,92911
32
82
8
9.95916
0.91034
9.96150
0.91517
9.96377
0.91997
9.96597
0.92464
9.96810
0.93918
28
36
9
.95920
.91033
.96154
.91525
.96381
.92005
.96601
.92472
.96814
.92926
24
40
10
.95924
.91041
.96158
.91533
.96385
.92013
.96604
.92479
.96817
.93933
20
44
li
.95928
.91049
.96162
.91541
.96388
.92020
.96608
.93487
.96821
.93941
16
48
13
9.95932
0.91057
9.96165
0.91549
9.96392
0.92028
9.96612
0.92495
9.96824
0.92948
12
52
13
.95936
.91066
.96169
.91557
.96396
.92036
.96615
.93503
.96827
.92055
8
66
14
9.95939
0.91074.
9.96173
0.91565
9.96400
6.92044
9.96619
0.93510
9.96831
0.92963
4
14^ 19m
14h 15m
14h iim
14h7m
Uhsm
s
15
9h 4im 145°
9h 45m 146°
9h 49m 147°
9h 53m 148°
9h 57m 149°
3
60
9.95943
0.91082
9.96177
0.91574
9.96403
0.92052
9.96622
0.93518
9.96834
0.92970
4
16
.95947
.91091
.96181
.91582
.96407
.92060
.96626
.93535
.96837
.92978
56
8
17
.95951
.91099
.96185
.91590
.96411
.92068
.96630
.92533
.96841
.93985
52
12
18
.95955
.91107
.96188
.91598
.96412
.92076
.96633
.93541
.96845
.93993
48
16
19
9.95959
0.91115
9.96192
0.91606
9.96418
0.92083
9.96637
0.93548
9.96848
0.93000
44
20
20
.95963
.91124
.96196
.91614
.96422
.92091
.96640
.93556
.96852
.93007
40
24
21
.95967
.91132
.96200
.91622
.96426
.92099
.96644
.93563
.96855
.93015
36
28
22
.95971
.91140
.96204
.91630
.96429
.92107
.96648
.93571
.96859
.93032
32
32
23
9.95975
0.91149
9.96208
0.91638
9.96433
0.92115
9.96651
0.93579
9.96862
0.93030
28
36
24
.95979
.91157
.96211
.91646
.96437
.92123
.96655
.93586
.96866
.93037
24
40
25
.95983
.91165
.96215
.91654
.96440
.92130
.96658
.93594
.96869
.93045
20
44
26
.95987
.91173
.96219
..91662
.96444
.92138
.96662
.93603
.96873
.93053
16
48
27
9.95991
0.91182
9.96223
0.91670
9.96448
0.93146
9.96665
0.93609
9.96876
0.93059
12
52
28
.95995
.91190
.96227
.91678
.96451
.93154
.96669
.93617
.96879
.93067
8
56
29
9.95999
0.91198
9.96230
0.91686
9.96455
0.93163
9.96673
0.92624
9.96883
0.93074
4
Uh Igm 1 Uh 14m
14h lom
14hem
14h 2m
8
30
9h42m 145° |
9h 46m 146°
9h 50m 147°
9h 54m 148°
9h 58m 149°
s
60
9.96002
0.91206
9.96234
0.91694
9.96459
0.93170
9.96676
0.92632
9.96886
0.93081
4
31
.96006
.91215
.96238
.91702
.96462
.92177
.96680
.92640
.96890
.93089
56
8
32
.96010
.91223
.96242
.91710
.96466
.92185
.96683
.92647
.96894
.93096
52
12
33
.96014
.91231
.96246
.91718
.96470
.93193
.96687
.92655
.96897
.93104
48
16
34
9.96018
0.91239
9.96249
0.91726
9.96473
0.93301
9.96690
0.92662
9.96900
0.93111
44
20
35
.96022
.91247
.96253
.91734
.96477
.93309
.96994
.92670
.96904
.93118
40
24
36
.96026
.91256
.96257
.91742
.96481
.93316
.96697
.92678
.96907
.93136
36
28
37
.96030
.91264
.96261
.91750
.96484
.92224
.96701
.92685
.96910
.93133
32
32
38
9.96034
0.91272
9.96265
0.91758
9.96488
0.93333
9.96705
0.92693
9.96914
0.93140
28
36
39
.96038
.91280
.96268
.91766
.96492
.92240
.96708
.92700
.96917
.93148
24
40
40
.96042
.91289
.96272
.91774
.96495
.92248
.96712
.92708
.96921
.93155
20
U
41
.96046
.91297
.96276
.91782
.96499
.93355
.96715
.92715
.96924
.93163
16
48
42
9.96049
0.91305
9.96280
0.91790
9.96503
0.93263
9.96719
0.92723
9.96928
0.93170
12
52
43
.96053
.91313
.96283
.91798
.96506
.93371
.96722
.92731
.96931
.93177
8
66
44
9.96057
0.91321
9.96287
0.91806
9.96510
0.93379
9.96726
0.92738
9.96934
0.93184
4
14h J7m 1
14h ism
14^ 9m
14^ 5m
14^ im 1
s
45
9h43m 145°
9h47m 146°
9h 6m 147°
9h 55m 148°
9h59m 149° |
s
60
9.96061
0.91329
9.96291
0.91814
9.96514
0.93386
9.96729
0.92746
9.96938
0.93193
4
46
.96065
.91338
.96295
.91822
.96517
.93394
.96733
.92753
.96941
.93199
66
8
47
.96069
.91346
.96299
.91830
.96521
.92302
.96736
.92761
.96945
.93306
62
12
48
.96073
.91354
.96302
.91838
.96525
.92310
.96740
.92768
.96948
.93314
48
16
49
9.96077
0.91362
9.96306
0.91846
9.96528
0.93317
9.96743
0.92776
9.96951
0.93221
44
20
50
.96081
.91370
.96310
.91854
.96532
.93335
.96747
.92783
.96955
.93228
40
24
51
.96084
.91379
.96314
.91862
.96536
.93333
.96750
.92791
.96958
.93236
36
28
52
.96088
.91387
.96317
.91870
.96539
.92341
.96754
.92798
.96962
.93243
32
32
53
9.96092
0.91395
9.96321
0.91878
9.96543
0.93348
9.96758
0.92806
9.96965
0.93250
28
36
54
.96096
.91403
.96325
.91886
.96547
.93356
.98761
.92813
.96968
.93258
24
40
55
.96100
.91411
.96329
.91894
.96550
.93364
.96765
.93831
.96972
.93365
20
44
56
.96104
.91419
.96332
.91902
.96554
.93373
.96768
.93828
.96975
.93272
16
48
57
9.96108
0.91427
9.96336
0.91910
9.96557
0.93379
9.96772
0.92836
9.96979
0.93279
12
52
58
.96112
.91436
.96340
.91918
.96561
.93387
.96775
.92843
.96982
.93287
8
50
59
.96115
.91444
.96344
.91926
.96565
.93394
.96779
.92851
.96985
.93294
4
60
60
9.96119
0.91452
9.96347
0.91934
9.96568
0.92402
9.96782
0.92858
9.96989
0.93301
14^ l&m 1
7^A 12m 1
14^ 8m 1
14h 4m 1
UhOm 1
J
TABLE IV. [Page 149
Haversines.
s '
10ft Om 150°
IQh 4m 151°
IQh Sm 153°
lOh 12m 163°
lOh 16m 164°
s
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.96989
0.93301
9.97188
0.93731
9.97381
0.94147
9.97566
0.94550
9.97745
0.94940
60
4 1
.96992
.93309
.97192
.93738
.97384
.94154
.97569
.95557
.97748
.94946
56
8 2
.96996
.93316
.97195
.93745
.97387
.94161
.97572
.94564
.97751
.94953
52
12 3
.96999
.93323
.97198
.93753
.97390
.94168
.97575
.94570
.97754
.94959
48
16 4
9.97002
0.93330
9.97201
0.93759
9.97393
0.94175
9.97578
0.94577
9.97756
0.94965
44
20 5
.97006
.93338
.97205
.93766
.97397
.94181
.97581
.94583
.97759
.94973
40
24 6
.97009
.93345
.97208
.93773
.97400
.94188
.97584
.94590
.97762
.94978
36
28 7
.97012
.93353
.97211
.93780
.97403
.94195
.97587
.94596
.97765
.94984
32
32 8
9.97016
0.93359
9.97214
0.93787
9.97406
0.94303
9.97591
0.94603
9.97768
0.94991
28
S6 9
.97019
.93367
.97218
.93794
.97409
.94309
.97594
.94610
.97771
.94997
24
-W 10
.97022
.93374
.97221
.93801
.97412
.94315
.97597
.94616
.97774
.95003
20
■^ 11
.97026
.93381
.97224
.93808
.97415
.94233
.97600
.94623
.97777
.95010
16
48 13
9.97029
0.93388
9.97227
0.93815
9.97418
0.94229
9.97603
0.94629
9.97780
0.95016
12
5:? 13
.97033
.93395
.97231
.93823
.97422
.94236
.97606
.94636
.97783
.95033
8
56 14
9.97036
0.93403
9.97234
0.93829
9.97425
0.94343
9.97609
0.94642
9.97785
0.95039
4
13^ 59m
13h 55m
ISh Sim
isn 47m
13h 43m
s
15
IQh im 150°
IQh 5m 151°
IQh gm 1530
lOh 13m 153°
lOh 17m 164°
s
60
9.97039
0.93410
9.97237
0.93836
9.97428
0.94349
9.97612
0.94649
9.97788
0.95035
4 16
.97043
.93417
.97240
.93843
.97431
.94356
.97615
.94655
.97791
.95041
56
5 17
.97046
.93424
.97244
.93850
.97434
.94363
.97618
.94662
.97794
.95048
52
if 18
.97049
.93432
.97247
.93857
.97437
.94370
.97621
.94669
.97797
.95054
48
16 19
9.97052
0.93439
9.97250
0.93864
9.97440
0.94376
9.97624
0.94675
9.97800
0.95060
U
fO 30
.97056
.93446
.97253
.93871
.97443
.94283
.97627
.94683
.97803
.95066
40
24 31
.97059
.93453
.97257
.93878
.97447
.94290
.97630
.94688
.97806
.95073
36
:?5 33
.97063
.93460
.97260
.93885
.97450
.94297
.97633
.94695
.97808
.95079
32
5f 33
9.97066
0.93468
9.97263
0.93893
9.97453
0.94303
9.97636
0.94701
9.97811
0.95085
28
36 34
.97069
.93475
.97266
.93899
.97456
.94310
.97639
.94708
.97814
.95093
24
-fO 35
.97073
.93483
.97269
.93906
.97459
.94317
.97642
.94714
.97817
.95098
20
44 36
.97076
.93489
.97273
.93913
.97462
.94324
.97645
.94731
.97820
.95104
16
45 37
9.97079
0.93496
9.97276
0.93920
9.97465
0.94330
9.97647
0.94727
9.97823
0.95111
12
5f 38
.97083
.93503
.97279
.93927
.97468
.94337
.97650
.94734
.97826
.95117
8
56 39
9.97086
0.93511
9.97282
0.93934
9.97471
0.94344
9.97653
0.94740
9.97829
0.95133
4
ISh 58m
13h 54m
iSh 5om
ISh 46m
JSh 42m
30
lOh 2m 150°
IQh 6m 151°
ion 10m 153°
IQh 14m 1530
ion ism 154°
s
60
9.97089
0.93518
9.97285
0.93941
9.97474
0.94351
9.97656
0.94747
9.97831
0.95139
4 31
.97093
.93535
.97289
.93948
.97478
.94357
.97659
.94753
.97834
.95136
56
5 33
.97096
.93533
.97292
.93955
.97481
.94364
.97662
.94760
.97837
.95143
52
J?:? 33
.97099
.93539
.97295
.93963
.97484
.94371
.97665
.94766
.97840
.95148
48
16 34
9.97103
0.93546
9.97298
0.93969
9.97487
0.94377
9.97668
0.94773
9.97843
0.95154
U
;gO 35
.97106
.93554
.97301
.93976
.97490
.94384
.97671
.94779
.97846
.95161
40
24 36
.97109
.93561
.97305
.93983
.97493
.94391
.97674
.94786
.97849
.95167
36
:?5 37
.97113
.93568
.97308
.93989
.97496
.94397
.97677
.94*92
.97851
.95173
32
5:2 38
9.97116
0.93575
9.97311
0.93996
9.97499
0.94404
9.97680
0.94799
9.97854
0.95179
28
36 39
.97119
.93583
.97314
.94003
.97502
.94411
.97683
.94805
.97857
.95185
24
40 40
.97123
.93589
.97317
.94010
.97505
.94418
.97686
.94811
.97860
.95193
20
U 41
.97126
.93596
.97321
.94017
.97508
.94424
.97689
.94818
.97863
.95198
16
45 43
9.97129
0.93603
9.97324
0.94034
9.97511
0.94431
9.97692
0.94824
9.97866
0.95204
12
52 43
.97132
.93611
.97327
.94031
.97514
.94438
.97695
.94831
.97868
.95210
8
56 44
9.97136
0.93618
9.97330
0.94038
9.97518
0.94444
9.97698
0.94837
9.97871
0.95217
4
13h 57m
ISh SSm
13^ 49m
13n45m
13h 41m
s '
45
IQh 3m 150°
IQh Tm 151°
lOh 11m 152°
lOh 15m 153°
ion 19m 1540
s
60
9.97139
0.93625
9.97333
0.94045
9.97521
0.94451
9.97701
0.94844
9.97874
0.95233
4 46
.97142
.93633
.97337
.94051
.97524
.94458
.97704
.94850
.97877
.95339
56
5 47
.97146
.93639
.97340
.94058
.97527
.94464
.97707
.94857
.97880
.95335
52
12 48
.97149
.93646
.97343
.94065
.97530
.94471
.97710
.94863
.97883
.95241
48
:?6 49
9.97152
0.93653
9.97346
0.94073
9.97533
0.94477
9.97713
0.94869
9.97885
0.95248
44
20 50
.97156
.93660
.97349
.94079
.97536
.94484
.97716
.94876
.97888
.95254
40
^4 51
.97159
.93667
.97352
.94086
.97539
.94491
.97718
.94882
.97891
.95260
36
;?5 53
.97162
.93674
.97356
.94093
.97542
.94497
.97721
.94889
.97894
.95266
32
32 53
9.97165
0.93683
9.97359
0.94099
9.97545
0.94504
9.97724
0.94895
9.97897
0.95272
28
56 54
.97169
.93689
.97362
.94106
.97548
.94511
.97727
.94901
.97899
.95378
24
40 55
.97172
.93696
.97365
.94113
.97551
.94517
.97730
.94908
.97902
.95385
20
44 56
.97175
.93703
.97368
.94120
.97554
.94524
.97733
.94914
.97905
.95391
16
45 57
9.97179
0.93710
9.97371
0.94127
9.97557
0.94531
9.97736
0.94921
9.97908
0,95297
12
52 58
.97182
.93717
.97575
.94134
.97560
.94537
.97739
.94927
.97911
.95303
8
56 59
.97185
.93734
.97378
.94141
.97563
.94544
.97742
.94933
.97914
.95309
4
60 60
9.97188
0.93731
9.97381
0.94147
9.97566
0.94550
9.97745
0.94940
9.97916
0.95315
ISh 56m
13h52m
13n48m 1
ISh 44m 1
isn 40m 1
Page 150] TABLE IV.
Haversinea.
s '
10h20m 155°
iO'i 24"^ 156°
lOh 28m 1570
lOh S2m 168°
lOh 36m 1590
3
60
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
0.96679
9.97916
0.95315
9.98081
0.95677
9.98239
0.96025
9.98389
0.96359
9.98533
4 1
.97919
.95322
.98084
.95683
.98241
.96031
.98392
.96365
.98536
.96684
56
8 2
.97922
.95328
.98086
.95689
.98244
.96037
.98394
.96370
.98538
.96689
52
12 3
.97925
.95334
.98089
.95695
.98246
.96042
.98397
.96376
.98540
.96695
48
16 4
9.97927
0.95340
9.98092
0.95701
9.98249
0.96048
9.98399
0.96381
9.98543
0.96700
44
20 5
.97930
.95346
.98094
.95707
.98251
.96054
.98402
.96386
.98545
.96705
40
24 6
.97933
.95352
.98097
.95713
.98254
.96059
.98404
.96392
.98547
.96710
36
28 7
.97936
.95358
.98100
.95719
.98256
.96065
.98406
.96397
.98550
.96715
32
S2 8
9.97939
0.95364
9.98102
0.95724
9.98259
0.96071
9.98409
0.96403
9.98552
0.96721
28
56 9
.97941
.95371
.98105
.95730
.98262
.96076
.98411
.96408
.98554
.96726
24
40 10
.97944
.95377
.98108
.95736
.98264
.96082
.98414
.96413
.98557
.96731
20
■^ 11
.97947
.95383
.98110
.95742
.98267
.96088
.98416
.96419
.98559
.96736
16
^ 13
9.97950
0.95389
9.98113
0.95748
9.98269
0.96093
9.98419
0.96424
9.98561
0.96741
12
52 13
.97953
.95395
.98116
.95754
.98272
.96099
.98421
.96430
.98564
.96746
8
56 14
9.97955
0.95401
9.98118
0.95760
9.98274
0.96104
9.98424
0.96435
9.98566
0.96752
4
ISh 39^
ISh 35m
13h 3im
13h 27m
13h 23m
8 '
15
IQh 2im 155°
10^ 25m 156°
10h29m 157°
IQh 33m 158°
lOh sjm 1590
s
60
9.97958
0.95407
9.98121
0.95766
9.98277
0.96110
9.98426
0.96440
9.98568
0.96757
4 16
.97961
.95413
.98124
.95771
.98279
.96116
.98428
.96446
.98570
.96762
56
8 17
.97964
.95419
.98126
.95777
.98282
.96121
.98431
.96451
.98573
.96767
52
i;? 18
.97966
.95425
.98129
.95783
.98285
.96127
.98433
.96457
.98575
.96772
48
16 19
9.97969
0.95431
9.98132
0.95789
9.98287
0.96133
9.98436
0.96462
9.98577
0.96777
44
;?0 20
.97972
.95438
.98134
.95795
.98290
.96138
.98438
.96467
.98580
.96782
40
;g4 21
.97975
.95444
.98137
.95801
.98292
.96144
.98440
.96473
.98582
.96788
36
;25 22
.97977
.95450
.98139
.95806
.98295
.96149
.98443
.96478
.98584
.96793
32
5? 23
9.97980
0.95456
9.98142
0.95812
9.98297
0.96155
9.98455
0.96483
9.98587
0.96798
28
S6 24
.97983
.95462
.98145
.95818
.98300
.96161
.98448
.96489
.98589
.96803
24
40 25
.97986
.95468
.98147
.95824
.98302
.96166
.98450
.96494
.98591
.96808
20
44 26
.97988
.95474
.98150
.95830
.98305
.96172
.98453
.96500
.98593
.96813
16
48 27
9.97991
0.95480
9.98153
0.95836
9.98307
0.96177
9.98455
0.96505
9.98596
0.96818
12
5^ 28
.97994
.95486
.98155
.95841
.98310
.96183
.98457
.96510
.98598
.96823
8
56 29
9.97997
0.95492
9.98158
0.95847
9.98312
0.96188
9.98460
0.96516
9.98600
0.96829
4
13^ 38^
13h 34m
13^ 30m
13^ 26m
13h 22m
30
lOh 22m 155°
IQh 26m 156°
IQh 30m 157°
IQh S4m 158°
ion 38m 1590
3
60
9.97999
0.95498
9.98161
0.95853
9.98315
0.96194
9.98462
0.96521
9.98603
0.96834
4 31
.98002
.95504
.98163
.95859
.98317
.96200
.98465
.96526
.98605
.96839
56
5 32
.98005
.95510
.98166
.95865
.98320
.96205
.98467
.96532
.98607
.96844
52
12 33
.98008
.95516
.98168
.95870
.98322
.96211
.98469
.96537
.98609
.96849
48
16 34
9.98010
0.95522
9.98171
0.95876
9.98325
0.96216
9.98472
0.96542
9.98612
0.96854
U
£0 35
.98013
.95528
.98174
.95882
.98327
.96222
.98474
.96547
.98614
.96859
40
;?4 36
.98016
.95534
.98176
.95888
.98330
.96227
.98476
.96553
.98616
.96864
36
28 37
.98019
.95540
.98179
.95894
.98332
.96223
.98479
.96558
.98619
.96869
32
5;? 38
9.98021
0.95546
9.98182
0.95899
9.98335
0.96238
9.98481
0.96563
9.98621
0.96874
28
36 39
.98024
.95552
.98184
.95905
.98337
.96244
.98484
.96569
.98623
.96879
24
40 40
.98027
.95558
.98187
.95911
.98340
.96249
.98486
.96574
.98625
.96884
20
44 41
.98030
.95564
.98189
.95917
.98342
.96255
.98488
.96579
.98628
.96889
16
48 42
9.98032
0.95570
9.98192
0.95922
9.98345
0.96260
9.98491
0.96585
9.98630
0.96894
12
5« 43
.98035
.95576
.98195
.95928
.98347
.96266
.98493
.96590
.98632
.96899
8
56 44
9.98038
0.95582
9.98197
0.95934
9.98350
0.96272
9.98496
0.96595
9.98634
0.96905
4
ISh 37m 1
13h ssm
I'Sh 29m
13h 25m
i3h 21m
s '
45
10h2Sm 155° |
iOh 27m 156°
IQh 3im 157°
IQh 35m 158°
lOh 39m 159°
s
60
9.98040
0.95588
9.98200
0.95940
9.98352
0.96277
9.98498
0.96600
9.98637
0.96910
4 46
.98043
.95594
.98202
.95945
.98355
.962S3
.98500
.96606
.98639
.96915
56
« 47
.98046
.95600
.98205
.95951
.98357
.96288
.98503
.96611
.98641
.96920
52
12 48
.98049
.95606
.98208
.95957
.98360
.96294
.98505
.96616
.98643
.96925
48
i6 49
9.98051
0.95612
9.98210
0.95962
9.98362
0.96299
9.98507
0.96621
9.98646
0.96930
44
fO 60
.98054
.95618
.98213
.95968
.98365
.96305
.98510
.96627
.98648
.96935
40
24 61
.98057
.95624
.98215
.95974
.98367
.96310
.98512
.96632
.98650
.96940
36
;?5 62
.98059
.95630
.98218
.95980
.98370
.96315
.98514
.96637
.98652
.96945
32
32 63
9.98062
0.95636
9.98221
0.95985
9.98372
0.96321
9.98517
0.96642
9.98655
0.96950
28
56 54
.98065
.95642
.98223
.95991
.98375
.96326
.98519
.96648
.98657
.96955
24
40 55
.98067
.95648
.98226
.95997
.98377
.96332
.98521
.96653
.98659
.96960
20
U 56
.98070
.95654
.98228
.96002
.98379
.96337
.98524
.96658
.98661
.96965
16
45 57
9.980F3
0.95660
9.98231
0.96008
9.98382
0.96343
9.98526
0.96663
9.98664
0.96970
12
52 58
.98076
.95665
.98233
.96014
.98384
.96348
.98529
.96669
.98666
.96975
8
56 59
.98078
.95671
.98236
.96020
.98387
.96354
.98531
.96674
.98668
.96980
4
60 60
9.98081
0.95677
9.98239
0.96025
9.98389
0.96359
9.98533
0.96679 9.98670 1
0.96985
13^ 36^ 1
13h 32m
13h 28m 1
13h24m 1 13h2am \
TABLE IV. IPage 151
HavereineB.
3 '.
IQh 40m 160°
lOh 44m 161°
lOh 48^ 163°
lOh 52rn 163°
10h56m 164°
s
Log. Hav.
Nat. Hav.
0.96986
Log. llav.
Nat. llav.
Log. Hav.
Nat. Uav.
Log. llav.| Nat. llav.
Log. Hav.
9.99151
Nat. Uav.
"9798670"
'9^98861
0.97376
9.98924
0.97553
9.99041
0.97815
0.98063
60
4
1
.98673
.96990
.98803
.97381
.98926
.97557
.99043
.97819
.99152
.98067
56
s
2
.98675
.96995
.98805
.97385
.98928
.97562
.99044
.97834
.99154
.98071
52
12
3
.98677
.97000
.98807
.97390
.98930
.97566
.99046
.97838
.99156
.98075
48
16
4
9.98679
0.97005
9.98809
0.97395
9.98932
0.97571
9.99048
0.97833
9.99158
0.98079
44
20
5
.98681
.97009
.98811
.97300
.98934
.97575
.99050
.97836
.99159
.98083
40
24
6
.98684
.97014
.98813
.97304
.98936
.97580
.99052
.97841
.99161
.98087
36
28
7
.98686
.97019
.98815
.97309
.98938
.97584
.99054
.97845
.99163
.98091
3i
32
S
9.98688
0.97024
9.98817
0.97314
9.98940
0.97589
9.99056
0.97849
9.99165
0.98095
28
36
9
.98690
.97029
.98819
.97318
.98942
.97593
.99058
.97853
.99166
.98099
24
40
10
.98692
.97034
.98822
.97333
.98944
.97598
.99059
.97858
.99168
.98103
20
U
11
.98695
.97039
.98824
.97338
.98946
.97603
.99061
.97862
.99170
.98107
16
48
13
9.98697
0.97044
9.98826
0.97332
9.98948
0.97606
9.99063
0.97866
9.99172
0.98111
12
52
13
.98699
.97049
.98828
.97337
.98950
.97611
.99065
.97870
.99173
.98115
8
56
14
9.98701
0.97054
9.98830
0.97342
9.98952
0.97615
9.99067
0.97874
9.99175
0.98119
4
ISh 19m
13h urn
23h 11m
13h7m
13h sm 1
s '
lOh 41m 160°
lOh 45m 161°
IQh 49m 163°
lOh 53m 163°
lOh 37m 164°
s
15
9.98703
0.97059
9.98832
0.97347
9.98954
0.97630
9.99069
0.97879
9.99177
0.98133
60
4
16
.98706
.97064
.98834
.97351
.98956
.97634
.99071
.97883
.99179
.98137
56
8
17
.98708
.97069
.98836
.97356
.98958
.97639
.99072
.97887
.99180
.98131
52
12
18
.98710
.97074
.98838
.97361
.98960
.97633
.99074
.97891
.99182
.98135
48
16
19
9.98712
0.97078
9.98840
0.97365
9.98962
0.97637
9.99076
0.97895
9.99184
0.98139
U
20
20
.98714
.97083
.98842
.97370
.98964
.97643
.99078
.97899
.99186
.98143
40
24
21
.98717
.97088
.98845
.97374
.98966
.97646
.99080
.97904
.99187
.98146
36
28
22
.98719
.97093
.98847
.97379
.98968
.97651
.99082
.97908
.99189
.98150
32
32
23
9.98721
0.97098
9.98849
0.97384
9.98970
0.97655
9.99084
0.97912
9.99191
0.98154
28
36
24
.98723
.97103
.98851
.97388
.98971
.97660
.99085
.97916
.99193
.98158
24
40
25
.98725
.97108
.98853
.97393
.98973
.97664
.99087
.97920
.99194
.98163
20
44
26
.98728
.97113
.98855
.97398
.98975
.97668
.99089
.97924
.99196
.98166
16
48
27
9.98730
0.97117
9.98857
0.97402
9.98977
0.97673
9.99091
0.97929
9.99198
0.98170
12
52
28
.98732
.97132
.98859
.97407
.98979
.97677
.99093
.97933
.99200
.98174
8
56
29
9.98734
0.97127
9.98861
0.97413
9.98981
0.97681
9.99095
0.97937
9.99201
0.98178
4
1
ISh ism
ISh 14m
ISh 10m
IShem
13h 2m 1
s '
lOh 42m 160°
lOh 46m 161°
IQh 50rn 163°
lOh 54^ 163°
10^ 58^ 164°
s
30
9.98736
0.97132
9.98863
0.97416
9.98983
0.97686
9.99096
0.97941
9.99203
0.98182
60
4
31
.98738
.97137
.98865
.97431
.98985
.97690
.99098
.97945
.99205
.98185
56
8
32
.98741
.97142
.98867
.97425
.98987
.97695
.99100
.97949
.99206
.98189
52
12
33
.98743
.97147
.98869
.97430
.98989
.97699
.99102
.97953
.99208
.98193
48
16
34
9.98745
0.97151
9.98871
0.97435
9.98991
0.97703
9.99104
0.97957
9.99210
0.98197
44
20
35
.98747
.97156
.98873
.97439
.98993
.97708
.99106
.97962
.99212
.98301
40
24
36
.98749
.97161
.98875
.97444
.98995
.97713
.99107
.97966
.99213
.98305
36
28
37
.98751
.97166
.98877
.97448
.98997
.97716
.99109
.97970
.99215
.98309
32
32
38
9.98754
0.97171
9.98880
0.97453
9.98999
0.97731
9.99111
0.97974
9.99217
0.98313
28
36
39
.98756
.97176
.98882
.97458
.99001
.97735
.99113
.97978
.99218
.98316
24
40
40
.98758
.97180
.98884
.97463
.99003
.97739
.99115
.97982
.99220
.98330
20
44
41
.98760
.97185
.98886
.97467
.99004
.97734
.99116
.97986
.99222
.98324
16
48
42
9.98762
0.97190
9.98888
0.97471
9.99006
0.97738
9.99118
0.97990
9.99223
0.98338
12
52
43
.98764
.97195
.98890
.97476
.99008
.97743
.99120
.97994
.99225
.98333
8
56
44
9.98766
0.97200
9.98892
0.97480
9.99010
0.97747
9.99122
0.97998
9.99227
0.98336
4
1
23h 17m
ISh 13m
IShgm
ISh 5m
ISh im 1
s '1
lOh 43m 160°
IQh 47m 161°
IQh 5im 162°
IQh 55m 163°
IQh 59m 164° 1
a
45
9.98769
0.97304
9.98894
0.97485
9.99012
0.97751
9.99124
0.98002
9.99229
0.98339
60
4
46
.98771
.97209
.98896
.97490
.99014
.97755
.99126
.98007
.99230
.98343
56
8
47
.98773
.97314
.98898
.97494
.99016
.97760
.99127
.98011
.99232
.98347
52
12
48
.98775
.97319
.98900
.97499
.99018
.97764
.99129
.98015
.99234
.98351
48
16
49
9.98777
0.97334
9.98902
0.97503
9.99020
0.97768
9.99131
0.98019
9.99235
0.98355
U
20
50
98779
.97338
.98904
.97508
.99022
.97773
.99133
.98023
.99237
.98358
40
24
51
.98781
.97333
.98906
.97513
.99024
.97777
.99135
.98037
.99239
.98363
36
28
52
.98784
.97338
.98908
.97517
.99026
.97781
.99136
.98031
.99240
.98366
32
32
53
9.98786
0.97343
9.98910
0.97531
9.99027
0.97785
9.99138
0.98035
9.99242
0.98370
28
36
54
.98788
.97347
.98912
.97536
.99029
.97790
.99140
.98039
.99244
.98374
24
40
55
.98790
.97353
.98914
.97530
.99031
.97794
.99142
.98043
.99245
.98377
20
U
56
.98792
.97357
.98916
.97535
.99033
.97798
.99143
.98047
.99247
.98381
16
48
57
9.98794
0.97363
9.98918
0.97539
9.99035
0.97803
9.99145
0.98051
9.99249
0.98385
12
52
58
.98796
.97366
.98920
.97544
.99037
.97807
.99147
.98055
.99250
.98389
8
56
59
.98798
.97371
.98922
.97548
.99039
.97811
.99149
.98059
.99252
.98393
4
60
60
9.98801
0.97376
9.98924
0.97553
9.99041
0.97815
9.99151
0.98063
9.99254
0.98396
1
ISh l&n 1
ISh 12m 1
ISh gm 1
ISh 4m 1
ISh am ^
Page 162] TABLE IV.
Haversinee.
s '
llh am 165°
llh 4m 166°
llh 8m 167°
llh 12m 168°
llh 16m 169°
s
Log. Hav.
Nat. Hav,
Lor. llav.
Nat. Uav.
Log. Ilav.
Nat. Hav.
Ix)g. Hav.
Nat. Hav.
Log. Uav.
Nat. Hav.
9.99254
0.98296
9.99350
0.98515
9.99440
0.98719
9.99523
0.98907
9.99599
0.99081
~60
4 1
.99255
.98300
.99352
.98518
.99441
.98722
.99524
.98910
.99600
.99084
56
8 %
.99257
.98304
.99353
.98522
.99443
.98725
.99526
.98913
.99602
.99087
52
12 3
.99259
.98308
.99355
.98525
.99444
.98728
.99527
.98916
.99603
.99090
48
16 4
9.99260
0.98311
9.99356
0.98529
9.99446
0.98732
9.99528
0.98919
9.99604
0.99092
44
20 5
.99262
.98315
.99358
.98532
.99447
.98735
.99529
.98922
.99605
.99095
40
24 6
.99264
.98319
.99359
.98536
.99448
.98738
.99531
.98925
.99606
.99098
36
28 7
.99265
.98323
.99361
.98539
.99450
.98741
.99532
.98928
.99608
.99101
32
S2 8
9.99267
0.98326
9.99362
0.98543
9.99451
0.98745
9.99533
0.98931
9.99609
0.99103
28
S6 9
.99269
.98330
.99364
.98546
.99453
.98748
.99535
.98934
.99610
.99106
24
-^0 10
.99270
.98334
.99366
.98550
.99454
.98751
.99536
.98937
.99611
.99109
20
■f^ 11
.99272
.98337
.99367
.98553
.99456
.98754
.99537
.98940
.99612
.99112
16
48 n
9.99274
0.98341
9.99369
0.98557
9.99457
0.98757
9.99539
0.98943
9.99614
0.99114
12
52 13
.99275
.98345
.99370
.98560
.99458
.98761
.99540
.98946
.99615
.99117
8
56 14
9.99277
0.98349
9.99372
0.98564
9.99460
0.98764
9.99541
0.98949
9.99616
0.99120
4
12h 59m
12h 55m
12h 5im
Ijh 47m
12h43m
s '
llfi m _ 165°
llh 5m 166°
llh 9m 167°
llh 13m 168°
llh 17m 169°
s
15
9.99278
0.98352
9.99373
0.98567
9.99461
0.98767
9.99543
0.98952
9.99617
0.99123
60
4 16
.99280
.98356
.99375
.98571
.99463
.98770
.99544
.98955
.99618
.99125
56
5 17
.99282
.98360
.99376
.98574
.99464
.98774
.99545
.98958
.99620
.99128
52
12 18
.99283
.98363
.99378
.98577
.99465
.98777
.99546
.98961
.99621
.99131
48
^6 19
9.99285
0.98367
9.99379
0.98581
9.99467
0.98780
9.99548
0.98964
9.99622
0.99133
44
;?0 20
.99287
.98371
.99381
.98584
.99468
.98783
.99549
.98967
.99623
.99136
40
f-; 21
.99288
.98374
.99382
.98588
.99470
.98786
.99550
.98970
.99624
.99139
36
£<§ 22
.99290
.98378
.99384
.98591
.99471
.98789
.99552
.98973
.99626
.99141
32
S2 23
9.99291
0.98382
9.99385
0.98595
9.99472
0.98793
9.99553
0.98976
9.99627
0.99144
28
56 24
.99293
.98385
.99387
.98598
.99474
.98796
.99554
.98979
.99628
.99147
24
^ 25
.99295
.98389
.99388
.98601
.99475
.98799
.99555
.98982
.99629
.99149
20
U 26
.99296
.98393
.99390
.98605
.99477
.98802
.99557
.98985
.99630
.99152
16
^ 27
9.99298
0.98396
9.99391
0.98608
9.99478
0.98805
9.99558
0.98987
9.99631
0.99155
12
52 28
.99300
.98400
.99393
.98611
.99479
.98809
.99559
.98990
.99633
.99157
8
56 29
9.99301
0.98404
9.99394
0.98615
9.99481
0.98812
9.99561
0.98993
9.99634
0.99160
4
12^ 58m
12h 54m
12h SQm-
12h 46m
12h 42m
s '
llh 2m 165°
llh 6m 166°
llh lom 167°
llh 14m 168°
llh 18m 169° 1 s |
30
9.99303
0.98407
9.99396
0.98619
9.99482
0.98815
9.99562
0.98996
9.99635
0.99163 60
4 31
.99304
.98411
.99397
.98622
.99484
.98818
.99563
.98999
.99636
.99165 56 \
8 32
.99306
.98415
.99399
.98625
.99485
.98821
.99564
.99002
.99637
.99168
52
J;? 33
.99308
.98418
.99400
.98629
.99486
.98824
.99566
.99005
.99638
.99171
48
^6 34
9.99309
0.98422
9.99402
0.98632
9.99488
0.98827
9.99567
0.99008
9.99639
0.99173
U
20 35
.99311
.98426
.99403
.98635
.99489
.98830
.99568
.99011
.99641
.99176
40
^4 36
.99312
.98429
.99405
.98639
.99490
.98834
.99569
.99014
.99642
.99179
36
28 37
.99314
.98433
.99406
.98642
.99492
.98837
.99571
.99016
.99643
.99181
32
5^ 38
9.99316
0.98436
9.99408
0.98646
9.99493
0.98840
9.99572
0.99019
9.99644
0.99184
28
56 39
.99317
.98440
.99409
.98649
.99495
.98843
.99573
.99022
.99645
.99186
24
40 40
.99319
.98444
.99411
.98652
.99496
.98846
.99575
.99025
.99646
.99189
20
-f^ 41
.99320
.98447
.99412
.98656
.99497
.98849
.99576
.99028
.99648
.99192
16
48 42
9.99322
0.98451
9.99414
0.98659
9.99499
0.98852
9.99577
0.99031
9.99649
0.99194
12
5£ 43
.99324
.98454
.99415
.98662
.99500
.98855
.99578
.99034
.99650
.99197
8
56 44
9.99325
0.98458
9.99417
0.98666
9.99501
0.98858
9.99580
0.99036
9.99651
0.99199
4
12h 57m
12h 53m
12h 49m
12h 45m
12h 41m
s '
llh sm 165°
llh 7m 166°
llh 11m 167°
llh 15m 168°
llh 19m 169°
s
45
9.99327
0.98462
9.99418
0.98669
9.99503
0.98862
9.99581
0.99039
9.99652
0.99202
60
4 46
.99328
.98465
.99420
.98672
.99504
.98865
.99582
.99042
.99653
.99205
56
5 47
.99330
.98469
.99421
.98676
.99505
.98868
.99583
.99045
.99654
.99207
52
i^ 48
.99331
.98472
.99422
.98679
.99507
.98871
.99584
.99048
.99655
.99210
48
16 49
9.99333
0.98476
9.99424
0.98682
9.99508
0.98874
9.99586
0.99051
9.99657
0.99212
44
go 50
.99335
.98479
.99425
.98686
.99510
.98877
.99587
.99053
99658
.99215
40
24 51
.99336
.98483
.99427
.98689
.99511
.98880
.99588
.99056
.99659
.99217
36
;g5 52
.99338
.98487
.99429
.98692
.99512
.98883
.99589
.99059
.99660
.99220
32
5;? 53
9.99339
0.98490
9.99430
0.98696
9.99514
0.98886
9.99591
0.99062
9.99661
0.99223
28
S6 54
.99341
.98494
.99431
.98699
.99515
.98889
.99592
.99065
.99662
.99225
24
^ 56
.99342
.98497
.99433
.98702
.99516
.98892
.99593
.99067
.99663
.99228
20
U 56
.99344
.98501
.99434
.98705
.99518
.98895
.99594
.99070
.99664
.99230
16
^ 57
9.99345
0.98504
9.99436
0.98709
9.99519
0.98898
9.99596
0.99073
9.99666
0.99233
12
5:? 58
.99347
.98508
.99437
.98712
.99520
.98901
.99597
.99076
.99667
.99235
8
56 59
.99349
.98511
.99438
.98715
.99522
.98904
.99598
.99079
.99668
.99238
4
60 60
9.99350
0.98515
9.99440
0.98719
9.99523
0.98907
9.99599
0.99081
9.99669
0.99240
12^ 56m
12h 52m 1
12h 48m 1
12h 44m 1
12h 40m 1
TABLE IV. [Page 153
Haversines.
s
llh20>n 170° 1
llh24^ 171° I
llh 28m 172° [
llhS2m 173° [
llhS6m 174° j
s
Log. Hav.
Nat. Ilav.
Log. Ilav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.99669
0.99340
9.99732
0.99384
9.99788
0.99513
9.99838
0.99627
9.99881
0.99726
60
4
1
.99670
.99343
.99733
.99387
.99789
.99515
.99839
.99629
.99882
.99728
56
8
2
.99671
.99345
.99734
.99389
.99790
.99517
.99839
.99631
.99882
.99729
52
12
3
.99672
.99348
.99735
.99391
.99791
.99519
.99840
.99633
.99883
.99731
48
16
4
9.99673
0.99350
9.99736
0.99393
9.99792
0.99531
9.99841
0.99634
9.99884
0.99732
U
20
S
.99674
.99353
.99737
.99396
.99793
.99533
.99842
.99636
.99884
.99734
40
24
6
.99675
.99355
.99738
.99398
.99793
.99535
.99842
.99638
.99885
.99735
36
28
7
.99677
.99358
.99739
.99400
.99794
.99537
.99843
.99640
.99885
.99737
32
S2
8
9.99678
0.99360
9.99740
0.99403
9.99795
0.99539
9.99844
0.99641
9.99886
0.99738
28
S6
9
.99679
.99363
.99741
.99405
.99796
.99531
.99845
.99643
.99887
.99740
24
40
10
.99680
.99365
.99742
.99407
.99797
.99533
.99845
.99645
.99887
.99741
20
U
11
.99681
.99368
.99743
.99409
.99798
.99535
.99846
.99647
.99888
.99743
16
48
13
9.99682
0.99370
9.99744
0.99411
9.99799
0.99537
9.99847
0.99648
9.99889
0.99744
12
52
13
.99683
.99373
.99745
.99414
.99800
.99539
.99848
.99650
.99889
.99746
8
56
14
9.99684
0.99375
9.99746
0.99416
9.99800
0.99541
9.99848
0.99652
9.99890
0.99747
4
12h 39m \
12h S5m 1
12h 3im 1
12h27m' \
12h 23m 1
. ■ 1
llh2im 170° 1
llh25in 171° 1
llh 29m 173° 1
llh 33m 173° 1
llh 37m 174° 1
s
15
9.99685
0.99378
9.99747
0.99418
9.99801
0.99543
9.99849
0.99653
9.9*691
0.99748
60
4
16
.99686
.99380
.99748
.99430
.99802
.99545
.99850
.99655
.99891
.99750
56
8
17
.99687
.99383
.99748
.99433
.99803
.99547
.99851
.99657
.99892
.99751
52
12
18
.99688
.99385
.99749
.99435
.99804
.99549
.99851
.99659
.99893
.99753
48
16
19
9.99690
0.99388
9.99750
0.99427
9.99805
0.99551
9.99852
0.99660
9.99893
0.99754
44
20
20
.99691
.99390
.99751
.99439
.99805
.99553
.99853
.99662
.99894
.99756
40
24
31
.99692
.99393
.99752
.99431
.99806
.99555
.99854
.99664
.99894
.99757
36
28
33
.99693
.99395
.99753
.99433
.99807
.99557
.99854
.99665
.99895
.99759
32
S2
33
9.99694
0.99397
9.99754
0.99436
9.99808
0.99559
9.99855
0.99667
9.99896
0.99760
28
36
34
.99695
.99300
.99755
.99438
.99809
.99561
.99856
.99669
.99896
.99761
24
40
35
.99696
.99303
.99756
.99440
.99810
.99563
.99857
.99670
.99897
.99763
20
U
36
.99697
.99305
.99757
.99443
.99811
.99565
.99857
.99672
.99897
.99674
16
48
37
9.99698
0.99307
9.99758
0.99444
9.99811
0.99567
9.99858
0.99674
9.99898
0.99766
12
52
28
.99699
.99309
.99759
.99446
.99812
.99568
.99859
.99675
.99899
.99767
8
56
29
9.99700
0.99313
9.99760
0.99449
9.99813
0.99570
9.99859
0.99677
9.99899
0.99768
4
121 SS^-
12^34'^ >"
12h 30m
12h 26m
12h 22m
s -1
llh22m 170°
llh26m 171°
llhsom 173°
llh 34m 173°
llh 38m 174°
3
30
9.99701
0.99314
9.99761
0.99451
9.99814
0.99572
9.99860
0.99679
9.99900
0.99770
60
4
31
.99702
.99317
.99762
.99453
.99815
.99574
.99861
.99680
.99901
.99771
56
8
32
.99703
.99319
.99763
.99455
.99815
.99576
.99862
.99682
.99901
.99773
52
12
33
.99704
.99331
.99764
.99457
.99816
.99578
.99862
.99684
.99902
.99774
48
16
34
9.99705
0.99334
9.99765
0.99459
9.99817
0.99580
9.99863
0.99685
9.99902
0.99775
44
20
35
.99706
.99336
.99766
.99461
.99818
.99583
.99864
.99687
.99903
.99777
40
24
36
.99707
.99339
.99766
.99464
.99819
.99584
.99864
.99688
.99904
.99778
36
28
37
.99708
.99331
.99767
.99466
.99820
.99585
.99865
.99890
.99904
.99780
32
32
38
9.99710
0.99333
9.99768
0.99468
9.99820
0.99587
9.99866
0.99692
9.99905
0.99781
28
36
39
.99711
.99336
.99769
.99470
.99821
.99589
.99867
.99693
.99905
.99782
24
40
40
.99712
.99338
.99770
.99473
.99822
.99591
.99867
.99695
.99906
.99784
20
44
41
.99713
.99340
.99771
.99474
.99823
.99593
.99868
.99696
.99906
.99785
16
48
42
9.99714
0.99343
9.99772
0.99476
9.99824
0.99595
9.99869
0.99698
9.99907
0.99786
12
52
43
.99715
.99345
.99773
.99478
.99824
.99597
.99869
.99700
.99908
.99788
8
56
44
9.99716
0.99347
9.99774
0.99480
9.99825
0.99598
9.99870
0.99701
9.99908
0.99789
4
12h S7m
12h 33m
12h 29m
12h 25m
12h 21m
s '
llh23m 170°
llh 27m 171°
llh Sim 173°
llhssm 173°
llh 39m 174°
a
45
9.99717
0.99350
9.99774
0.99483
9.99826
0.99600
9.99871
0.99703
9.99909
0.99790
60
4
46
.99718
.99353
.99775
.99485
.99827
.99603
.99871
.99704
.99909
.99793
56
8
47
.99719
.99354
.99776
.99487
.99828
.99604
.99872
.99706
.99910
.99793
52
12
48
.99720
.99357
.99777
.99489
.99828
.99606
.99873
.99708
.99911
.99794
48
16
49
9.99721
0.99359
9.99778
0.99491
9.99829
0.99608
9.99874
0.99709
9.99911
0.99796
U
. 20
50
.99722
.99361
.99779
.99493
.99830
.99609
.99874
.99711
.99912
.99797
40
24
51
.99723
.99364
.99780
.99495
.99831
.99611
.99875
.99712
.99912
.99798
36
28
52
.99724
.99366
.99781
.99497
.99832
.99613
.99876
.99714
.99913
,99799
32
32
53
9.99725
0.99368
9.99782
0.99499
9.99832
0.99615
9.99876
0.99715
9.99913
0.99801
28
36
54
.99726
.99371
.99783
.99501
.99833
.99617
.99877
.99717
.99914
,99802
24
40
55
.99727
.99373
.99784
.99503
.99834
.99618
.99878
.99719
.99915
.99803
20
44
56
.99728
.99375
.99785
.99505
.99835
.99630
.99878
.99720
.99915
.99805
16
48
57
9.99729
0.99378
9.99786
0.99507
9.99836
0.99623
9.99879
0.99722
9.99916
0,99806
12
52
58
.99730
.99380
.99786
.99509
.99836
.99624
.99880
.99723
,99916
.99807
8
56
59
.99731
.99383
.99787
.99511
.99837
.99626
.99880
.99725
.99917
.9S808
4
60
60
9.99732
0.99384
9.99788
0.99513
9.99838
0.99627
9.99881
0.99726
9.99917
0.99810
12^36^
if ft 32m
12h 28m
12h 24"^
12h20'n
Page 154] TABLE IV.
Havereines.
3 '
llh 40m 175°
llh 44m 176°
llh 48m 1770
llh 52m 178°
llh 56m 179° |
s
60
Log. Hav.
Nat. Hav J
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
Log. Hav.
Nat. Hav.
9.99917
0.99810
9.99947
0.99878
9.99970
0.99931
9.99987
0.99970
9.99997
0.99992
4 1
.99918
.99811
.99948
.99879
.99971
.99933
.99987
.99971
.99997
.99993
56
8 2
.99918
.99812
.99948
.99880
.99971
.99933
.99987
.99971
.99997
.99993
52
12 3
.99919
.99814
.99948
.99881
.99971
.99934
.99987
.99971
.99997
.99993
48
16 4
9.99919
0.99815
9.99949
0.99883
9.99972
0.99934
9.99988
0.99972
9.99997
0.99994
44
20 5
.99920
.99816
.99949
.99883
.99972
.99935
.99988
.99972
.99997
.99994
40
24 6
.99921
.99817
.99950
.99884
.99972
.99936
.99988
.99973
.99997
.99994
36
28 7
.99921
.99819
.99950
.99885
.99973
.99937
.99988
.99973
.99997
.99994
32
5f 8
9.99922
0.99820
9.99951
0.99886
9.99973
0.99937
9.99988
0.99973
9.99998
0.99994
28
36 9
.99922
.99831
.99951
.99887
.99973
.99938
.99989
.99974
.99998
.99995
24
40 10
.99923
.99822
.99951
.99888
.99973
.99939
.99989
.99974
.99998
.99995
20
■44 11
.99923
.99823
.99952
.99889
.99974
.99940
.99989
.99975
.99998
.99995
16
48 12
9.99924
0.99835
9.99952
0.99890
9.99974
0.99940
9.99989
0.99975
9.99998
0.99995
12
5^ 13
.99924
.99836
.99953
.99891
.99974
.99941
.99989
.99976
.99998
.99995
8
56 14
9.99925
0.99837
9.99953
0.99893
9.99975
0.99943
9.99990
0.99976
9.99998
0.99996
4
12h 19m
12h 15m
12h lim
12h7m
12h3m
s '
llh 4im 175°
llh 45m 176°
llh 49m 177
llh 53m 178°
llh 57m 179°
s
15
9.99925-
f 0.99838
9.99953
0.99893
9.99975
0.99943
9.99990
0.99977
9.99998
0.99996
60
4 16
.99926
.99839
.99954
.99894
.99975
.99943
.99990
.99977
.99998
.99996
56
5 17
.99926
.99831
.99954
.99895
.99976
.99944
.99990
.99978
.99998
.99996
52
12 18
.99927
.99833
.99954
.99896
.99976
.99944
.99990
.99978
.99998
.99996
48
i6 19
9.99927
0.99833
9.99955
0.99897
9.99976
0.99945
9.99991
0.99978
9.99998
0.99996
44
fO 20
.99928
.99834
.99955
.99898
.99976
.99946
.99991
.99979
.99999
.99997
40
24 21
.99928
.99835
.99956
.99899
.99977
.99947
.99991
.99979
.99999
.99997
36
f5 22
.99929
.99837
.99956
.99900
.99977
.99947
.99991
.99980
.99999
.99997
32
32 23
9.99929
0.99838
9.99957
0.99900
9.99977
0.99948
9.99991
0.99980
9.99999
0.99997
28
56 24
.99930
.99839
.99957
.99901
.99978
.99949
.99992
.99981
.99999
.99997
24
40 25
.99931
.99840
.99958
.99903
.99978
.99949
.99992
.99981
.99999
.99997
20
44 26
.99931
.99841
.99958
.99903
.99978
.99950
.99992
.99981
.99999
.99998
16
45 27
9.99932
0.99842
9.99958
0.99904
9.99978
0.99950
9.99992
0.99982
9.99999
0.99998
12
52 28
.99932
.99844
.99959
.99905
.99979
.99951
.99992
.99982
.99999
.99998
8
56 29
9.99933
0.99845
9.99959
0.99906
9.99979
0.99953
9.99992
0.99982
9.99999
0.99998
4
i2h ism
12h 14m
12h lOm 1
12h 6m
12h2m
s '
llh 42m 175°
llh 46m 176°
llh 5am 177°
llh 54m 178°
llh 58m 179°
a
30
9.99933
0.99846
9.99959
0.99907
9.99979
0.99953
9.99993
0.99983
9.99999
0.99998
60
4 31
.99934
.99847
.99960
.99908
.99980
.99953
.99993
.99983
.99999
.99998
56
8 32
.99934
.99848
.99960
.99909
.99980
.99954
.99993
.99984
.99999
.99998
52
if 33
.99935
.99849
.99961
.99909
.99980
.99954
.99993
.99984
.99999
.99998
48
i6 34
9.99935
0.99850
9.99961
0.99910
9.99980
0.99955
9.99993
0.99984
9.99999
0.99999
44
20 35
.99935
.99851
.99961
.99911
.99981
.99956
.99993
.99985
.99999
.99999
40
;g4 86
.99936
.99853
.99962
.99912
.99981
.99956
.99994
.99985
9.99999
.99999
36
28 37
.99936
.99854
.99962
.99913
.99981
.99957
.99994
.99985
0.00000
.99999
32
5:? 38
9.99937
0.99855
9.99963
0.99914
9.99981
0.99957
9.99994
0.99986
0.00000
0.99999
28
56 39
.99937
.99856
.99963
.99915
.99982
.99958
.99994
.99986
.00000
.99999
24
40 40
.99938
.99857
.99963
.99915
.99982
.99959
.99994
.99986
.00000
.99999
20
44 41
.99938
.99858
.99964
.99916
.99982
.99959
.99994
.99987
.00000
.99999
16
48 42
9.99939
0.99859
9.99964
0.99917
9.99983
0.99960
9.99994
0.99987
0.00000
0.99999
12
5:2 43
.99939
.99860
.99964
.99918
.99983
.99960
.99995
.99987
.00000
.99999
8
56 44
9.99940
0.99861
9.99965
0.99919
9.99983
0.99961
9.99995
0.99988
0.00000
0.99999
4
12h 17m
12h 13m
12h9m
12h5m
12h im
s '
llh 43m 175°
llh 47m 170°
llhsim 177°
llh 55m 178°
llh 59m 179°
s
45
9.99940
0.99863
9.99965
0.99930
9.99983
0.99961
9.99995
0.99988
0.00000
1.00000
60
4 46
.99941
.99864
.99965
.99930
.99983
.99962
.99995
.99988
.00000
.00000
56
,5 47
.99941
.99865
.99966
.99931
.99984
.99963
.99995
.99989
.00000
.00000
52
J?f 48
.99942
.99866
.99966
.99933
.99984
.99963
.99995
.99989
.00000
.00000
48
16 49
9.99942
0.99867
9.99966
0.99933
9.99984
0.99964
9.99995
0.99989
0.00000
1.00000
44
fO 50
.99943
.99868
.99967
.99934
.99984
.99964
.99996
.99990
.00000
.00000
40
24 51
.99943
.99869
.99967
.99934
.99985
.99965
.99996
.99990
.00000
.00000
36
f5 52
.99943
.99870
.99968
.99935
.99985
.99965
.99996
.99990
.00000
.00000
32
■Sf 53
9.99944
0.99871
9.99968
0.99936
9.99985
0.99966
9.99996
0.99991
0.00000
1.00000
28
36 54
.99944
.9987%
.99968
.99937
.99985
.99966
.99996
.99991
.00000
.00000
24
40 55
.99945
.99873
.99969
.99928
.99986
.99967
.99996
.99991
.00000
.00000
20
44 56
.99945
.99874
.99969
.99938
.99986
.99967
.99996
.99991
.00000
.00000
16
45 57
9.99946
0.99875
9.99969
0.99939
9.99986
0.99968
9.99996
0.99992
0.00000
1.00000
12
52 58
.99946
.99876
.99970
.99930
.99986
.99969
.99996
.99993
.00000
.00000
8
56 59
.99947
.99877
.99970
.99931
.99987
.99969
.99997
.99993
.00000
.00000
4
60 60
9.99947
0.99878
9.99970
0.99931
9.99987
0.99970
9.99997
0.99992
0.00000
1.00000
12h 16m 1
12h 12m 1
12h gm 1
12h 4m 1
12h&m 1
TO FIND THE HOUR ANGLE
CROSSING THE PRIME VERTICAL
Mark the latitude on the latitude
scale at the left-hand boundary and,
with a pair of compasses, take out the
horizontal distance from that point to
the curve whose number represents
the declination, 7\ppiy this distance to
the scale of hour angles, and the re-
sulting reading, taken in the same
manner as the divisions and propor-
tional parts are read from the ordinary
diagonal scale of equal parts, will be
the hour angle of crossing the prime
vertical.
ILLUSTRATION
From the second example at the be«
ginning of this book —
L, the latitude=S.34°10'
d, the declination =S. 16° 36
The i'me of dashes (a b) indicates the
horizontal distance from (a), the point
on the latitude scale marking the lati-
tude 34° 10' to (b), the point between
the declination curve 16° -and the dec-
lination curve 17° marking the declina-
tion 16° 36'. The distance (a b), being
applied to the scale of hour angles,
gives the reading 4" 16"" as the value
of the hour angle of crossing the prime
vertical.
n \\ \\
Hoiir Angles
<
m¥?
h=w=M
«
WWW
I0» «»- io» C
» 1
' i
h
»*•
k»
••
55901°— 18. (To face page 156.)
TABLE V
FOR FINDING THE AZIMUTH
RULE.
Take out the tabulated number corresponding to the ^iven declination and hour-angle, then find
this number again in that declination column which has at its head a value equal to the altitude, and,
in the hour-angle column, opposite to the number thus found again in the declination column, will be
the required azimuth.
MARKING THE AZIMUTH.
The azimuth found from the table is always marked east (E.) or west (W.) according as the observed
body is to the eastward or westward of the meridian of the observer.
If the latitude and decUnation are of different name the azimuth is marked from the pole of opposite
name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declination
are of the same name and the latitude is greater than the declination, the azimuth is marked from the
pole of the same name as the latitude when the hour-angle is greater than the hour-angle of crossing the
prime vertical, and from the pole of opposite name when the hour-angle is less than the hour-angle of
crossing the prime vertical. The hour-angle of crossing the prime vertical may be found from the
diagram facing this page.
ILLUSTRATION.
From the first example worked at the beginning of this book —
d, the decltnation=S. 21° 19'.
t, the hour-angle=3A 30"» 11*.
h, the calculated altitude=17° 53'.
Take out the tabulated number corresponding to the declination 21° 19' and the hour-angle 3^ 30'",
which is 9.86885. Then in that declination column which has at its head a value equal to the altitude,
17° 53' or, to the nearest degree, 18°, find the number 9.86885 again, and opposite to it in the hour-angle
column will be 51°, which is the azimuth reckoned from the south pole toward the eastward, S. 51° E.
155
Page 156]
TABLE V.
The Finding of the Azimuth.
3-2
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The Finding of the Azimuth.
Page 157]
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9.84908
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9. 85693
9.86413
9.87107
9.87778
9.88425
9.89050
9. 89653
9. 90235
9. 90796
9.91336
9.91857
9.92359
9.92S42
9.93307
9.93753
9.94182
9.94593
9. 94988
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9.95728
9.96073
9. 96403
9.96717
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9.97299
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9.98060
9.98284
9.98494
9.98690
9. 98872
9.99040
9.99195
9.99335
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
[
Page 159
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The Finding of the Azimuth.
[Page 163
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
[Page 171
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cs OS OS OS OS OS OS OS OS OS OS Cs OS OS OS OS
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Page 172]
TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
[Page 173
Hour
Angle.
S8SS22
o-a-ooMco
CSNCMCOCO
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06000088SS
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9.66758
9.67502
9.58222
9.68916
9.59587
9.60234
9.60859
9.61462
9. 62044
9.62605
9.63145
9.63666
9.64168
9.64651
9.65118
9. 65562
9. G5991
9. 66402
9. 66797
9.67175
9.87537
9. 67882
9. 68212
9.68526
9.88824
,9.69108
9.69376
9. 69630
9.69869
9.70093
9. 70303
9. 70499
9.70681
9. 70849
9. 71004
9.71144
9. 71271
9. 71384
9. 71484
9. 71570
9.71643
9.71703
9.71749
9.71783
9. 71802
9.71809
1
00
57370
58114
58834
59528
60199
60846
61471
62074
62656
63217
83757
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth.
[Page 177
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TABLE V.
The Finding of the Azimuth.
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TABLE V.
The Finding of the Azimuth .
[Page 179
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Page 180]
TABLE V.
The Finding of the Azimuth.
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TABLE V.
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[Page 181
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TABLE V.
The Finding of the Azimuth.
[Page 183
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TABLE VI
ALTITUDE AND AZIMUTH TABLES
FOR FACIUTATING THE DETERMINATION OF LINES OF POSITION AND
GEOGRAPHICAL POSITION AT SEA
185
ALTITUDE AND. AZIMUTH TABLES.
The results which have been reached by the foregoing proceedings may also be
attained by the employment of the following tables, which are reprinted from the
Sublication by Lieut. Radler de Aquino, BraziUan Navy, entitled "The 'Newest'
Tavigation: Altitude and Azimuth Tables for Facilitating the Determination of
Lines of Position and Geographical Position at Sea."
These are spherical traverse tables which consist of the tabulation of the solu-
tions of the right-angled spherical triangle, just as the plane traverse tables consist
of the solutions of the right-angled plane triangle, and, by means of them, the
astronomical triangle is solved by suitablv combining the tabulated values in relation
to the two right-angled spherical triangles into which it may be decomposed by a
perpendicular conceived to be passed from the observed celestial body at right
angles to the celestial meridian of the observer. Presupposing a knowledge of the
astronomical triangle, such as is imparted in the American Practical Navigator, the
Erecepts for combining the various elements of the two right-angled triangles may
e stated as depending upon where the point in the foot of the perpendicular falls
on NS, the celestial meridian of the observer (see fig. 1). This is determined by the
relative algebraic signs of L and d, by the relative values of L and h, and by whether
t is greater or less than 6 hours or 90°. Accompanied by an outline of their deduc-
tion, these precepts, four in number, are set forth herewith, reference being made to
figures 1, 2, 3, and 4, respectively.
(1) The point m can only fall between P and Z by the concurrence of the three
conditions that d and L shall be of the same sign or name, that t shall be less than
90°, and that L shall be less than h. Hence (fig. 1) Z<90°; M = a + i8; and, putting
Cfor90°-B, C = 90°-B = (90°-L)-(90°-6) = 6-L.
187
Page 188]
ALTITUDE AND AZIMUTH TABLES.
(2) The point m will fall between Z and Q when d and L are of the same name,
if /<90° and L>&. Hence (fig. 2) Z>90°; M = a-/3; and C = 90°-B = (90°-6)-
(90°-L)=L-6.
(3) Tlie point m will fall between P and N when d and L are of the same name,
if 90° (and then the tables must be entered with 180° -<, instead of t). Henc€
(fig. 3)Z<90°; M = /3-a; and C = 90°-B = (90°-L) + (90°-&) = 180°- (L + 6).
ALTITUDE AND AZIMUTH TABLES.
[Page 189
Fig. 4
(4) When d and L are of opposite sign or name, the point m will fall between
(^, the equator, and P', the depressed pole, and reckoning from the depressed pole
in order that the value of 90 — (^ shall remain within the range of the table, which is
90 ^^ in declination, by fig. 4 Z > 90° (from the elevated pole) ; M = a + /3; and C = 90° -
B = (90 + L)-(90-6)=L + 6.
SUMMARY.
(1) d and L same name, <<90°, L<6, then C = &-L, Z<90°, and M = a + /3.
(2) d and L same name, <<90°, L>6, then C = L-&, Z>90°, andM = a-/3.
(3) (^ and L same name, i> 90° then C=180° - (L + 6), Z<90°, andM = /3-a.
(4) d and L contrary names then C =L + &, Z > 90°, and M = a + /3.
In the first two precepts the smaller of the quantities L and 6 is subtracted from
the larger to get C, and in the last two they are added. In the third precept, when
t is greater than 90°, their smn is greater than 90° and it is subtracted from 180°.
When d and L are of contrary names their sum is always less than 90°. By a glance
at the figm-es it wiU be seen that when Z is less than 90° in the precepts its value
as given by the table is reckoned from the elevated pole to east or west according as
the body is east or west of the meridian; and when greater than 90°, in like manner
from the depressed pole.
The position angle M may vary in value from 0° to 180°. In the first and fourth
precepts a and /3 are added to find M ; and, in the second and third, the smaller is
subtracted from the larger.
The precepts will be referred to as occasion may arise. It is unnecessary to
commit them to memory, as they will, with a httle use, become familiar.
In order to avoid making the tables too voluminous, a, for the most part, is tab-
ulated for every 30' only, and h and C for every 1° only. The double interpolating
that this would seem to necessitate may be done away with by any one of the three
methods which will be explained and illustrated in detail.
In the descriptions of the methods about to be »iven and in the solution of the
examples, the following abbreviations, almost all of \mich are in common use among
Page 190] ALTITIDE AND AZIMUTH TABLES.
American navigators, are employed to supplement the designations already used in
the statement of the precepts and in the illustrative figures:
a. m Ante meridian. La Latitude assumed.
C. C Chronometer correction. Lp r Latitude by dead reckoning.
C. T Chronometer time. L. A. noon Local apparent noon.
C — W Chronometer minus watch. L. M. noon Local mean noon.
Corr Correction. L. A. T Local apparent time.
d Declination. L. M. T Local mean time.
Dev. . ; Deviation. L. S. T Local sidereal time.
Diff Difference. X Longitude.
D. R Dead reckoning. Xa Longitude assumed.
Eq. t Equation of time. . Xd. r Longitude by dead reckoning.
.Altitude. p. m Post meridian.
h^ Approximate altitude. p. s.c Per standard compass.
hg Calculated altitude from K. A Right ascension.
tables. R. A. M. S Right ascension of mean sun.
ho Observed altitude (corrected), t Local hour angle.
h^ Sextant altitude. ^a Assumed local hour angle.
H. D Hourly difference. 4 Greenwich hour angle.
I. C Index correction. <d. b Hour angle from dead reckon-
G. A. noon Greenwich apparent noon. ing meridian.
G. M. noon Greenwich mean noon. Var Variation.
G. A. T Greenwich apparent time. W. T Watch time.
G. M. T Greenwich mean time. Z True azimuth.
G. S. T Greenwich sidereal time. Z/ Approximate azimuth.
L Latitude. >|< Star or planet.
FiKST METHOD. — Using an assumed position and simple interpolations. The
usual procedure by the Saint Hilaire method of fixing a Une of position has been to
determine the distance from the D. R. position to the line. The Une may be just as
accurately fixed by determining its distance from any assumed position near the
D. R. position. In the first two methods advantage is taken of this choice in position
by assuming a position such as will give a value to a of an even half degree and to C
a whole degree. The solution of the triangle by means of the tables is thus simplified
by having tabulated values of a and C with which to work.
The method of determining the assumed position appears in the description of
the procedure which follows: Given d, Ld.e. and tj,,^^, to find h, Z, Xa, and La- Ent«r
the tables from below with the nearest value of 5 as tabulated, and i^,^,, take out a
to the nearest 30' . Reentering the tables from above with this a and with the given
d, by a simple interpolation the corresponding values of 6 and t are obtained. These
are exact values of a and h corresponding to the given d and an approximate t. Now,
takhig this t as tj^ and combining it with the Iq (Greenwich hour angle) gives X^
near the D. R. position. Assuming this new longitude from which to plot the fine,
proceed with the above values of a and 6. As previously explamed, b is combined
with L to get C. C is only tabulated to whole degrees, so, in order to again avoid
interpolating, assume as the latitude from which to plot the line the nearest value
to the D. R. latitude that will, when combined with h, give C in whole degrees.
Having for the assumed position exact tabulated values of a and C, take directly from
the tables the corresponding values of h and Z.
Comparing this he with the observed Ji, gives the altitude difference and the line
is plotted from the assumed position for which Jic was obtained.
Example 1. — A. M., December 30, 1916, sextant altitude of sun's lower limb is
23° 54', bearing south and east. W. T., 9^ 25'" 18«; C-W, 4*^ 58°^ 00^; C. C,
+ 3'"45«; height of eye, 37 feet; I. C, +2'.0; D. R. position, L. = 29° 11' N., X =
78° 29' W. Solve for fine of position.
Solution in detail: See page 192 (Form 1). Enter all the given data in the proper
g laces as indicated in the form. Start with the W. T. in line 1 and work down until
r. M. T. with date is found in hne 5.
From the Nautical Almanac enter, for December 30, G. M. T. 2**, the equation of
time and decUnation with their proper signs on lines 4 and 11, respectively, and their
respective hourly differences for the day with their signs on lines 1 and 8 (second col-
umn). Correct the equation of time and declination for the difference in G.M.T. (27™),
getting the corrected values in lines 5 and 12. Enter the equation of time in line 7.
Applying it to the G. M. T. gives the G. H. A. in Line 12. This is immediately con-
verted into arc and entered in both columns, line 14. Combine the G. H. A. with
Xd.r. (lines 14 and 15, left-hand column) and obtain <d. e. Now enter Table ^^ from
ALTITUDE AND AZIMUTH TABLES. [Page 191
below with d = 2S° and <d. r. =42° 23'; taking out a to the nearest half degree, enter
in line IS, o = 38° 30'. Reenter the tables from above with a = SS° 30' and d =
23° 10'.3, and by interpolatiiig * take out 6 = 30° 11 '.3 and <a. = 42° 37'.4 and enter
them in right-hand column, lines 21 and 15, respectively.
The dechnation and latitude being of different names, the problem comes under
the fourth precept, so C = 6+L. It is seen at once that the value nearest to Ld.k.
that will give C m whole degrees is 28° 48'. 7. This is entered as the L^ in line 18.*
C is now found to be 59° 00'. Turning again to Table VI where a = 38° 30' and
C = 59° 00', take out Tie = 23° 46' and Z = 42° 52' and enter them in line 25. From
Table I enter in Une 21 the combined altitude correction. With this and the I. C. the
total correction is obtained for line 22. Applying the same to ^9 gives ^o = 24° 04'. 3.
The altitude difference (ho — Tio) is 18'. 3, which, since the observed altitude is the
greater, must be reckoned toward the observed body from the assumed position in
order to find the point through which the line of position passes at right angles to
the bearing of the observed body.
The azimuth of the body being greater than 90° (see precept 4) and t being east,
Z as taken from the tables is S. 42° 52' E, or the body bears 137° from north.
Combining lines 14 and 15 (right-hand column) gives as the assumed longitude
78° 43'.2 W.
The assumed position, then, from which to plot the line is :
L^. 28° 48'.7 N.
X^. 78° 43'.2 W.
The altitude difference is 18.3 miles toward the body bearing 137°, and the line of
position is at right angles to the bearing.
Example 2. — May 23, 1916, during p.m. twiUght, sextant altitude of star a Leonis
(Regulus) is 66° 18'.2, bearing S. and W.; W. T., 6^^ 45"° 18«; C-W, 4^ 18"° 02.0«;
C. C.-3°^ 45.5«; I. C, 0.0; height of eye, 39 feet; D. R. position, L. 34° 38' N,
X 65° 12' W. Solve for Une of position.
See page 192 (Form 1). Enter in the form all the given data and get out the
G. M. T. and date as before. From the Almanac enter the star's R. A. in line 1 1 ;
d in hne 12 (right-hand column) ; R. A. M. S. for noon 23d in hne 8; and the correc-
tion to the R. A. M. S. for G. M. T. in line 9. The G. S. T. (adding hues 5, 8, and 9)
is found to be 15^^ 04"^ 26. 5^ Subtracting from the G. S. T. the star's R. A. gives
G. H. A. = 5^ OO'^ 30.3^ Convert the G. H. A. mto arc and enter in both columns
hne 14. Combining the G. H. A. with X^ ^ gives t^ ^ (line 16) =9° 55'.6.
Enter Table VI from below with d^\2° 30' and"^.R. = 9° 55'.6 and take out
a = 9° 30' (nearest 30'). Now enter same table from above with a = 9° 30' and
d=\2° 22'.6 and bv interpolating take out 6 = 12° 33. '3 and t^ = ^° 44.'0. Enter
them in lines 21 and 15, respectively. The latitude and dechnation are of the same
name, t is less than 90°, and L is greater than 6, so this problem comes under the
second precept and C = L— 6. It is seen at once that the nearest value to Lp. r. that
will give C m whole degrees is 34° 33'.3. Enter this as L^ m line 18. C = 22°"ob'.
Turning again to Table VI where a = 9° 30', opposite C = 22° 00' take out /2,o =
66° 08', and Z = 24° 04' and enter them m hne 25.
From Table I enter in line 21 the combined altitude correction and obtain
^0 = 66° 11 '.6. The altitude difference (ho — Jic) is 3'. 6, and as the observed altitude
is the greater the line of position is toward the body. The azimuth of the body
being greater than 90° and t being west, Z as taken from the tables is S. 24° 04' W.,
or the body bears 204°. Combining lines 14 and 15 (right-hand column) gives as
the assumed longitude 65° 23 '.6 W.
The assumed position, then, from which to plot the line is:
La = 34°33'.3 N.
Xa = 65° 23'.6W.
Tlie altitude difference is 3.6 miles toward the body bearing 204°, and the line of
position is at right angles to the bearing.
* To make the interpolation easy, the columns headed — and —^ are supplied. Thus, b is first interpolated from d using
column — ; and then, using this value of 6, column -=- is employed in interpolating the value of ^a.
A 60'
The procedure in the present example is as follows:
8/3 X 1.'36 + 30° gives 6 30° 11. '3
and 11. '3 X 0.'30 + 42° 34' gives U. 42° 37.'4
Page 192]
ALTITUDE AND AZIMUTH TABLES.
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Page 194] ALTITUDE AND AZIMUTH TABLES.
Example 3. — October 15, 1916, during a. m. twilight, the sextant altitude of
Saturn, bearing S. and E., is 67° 29'; W. T., 5^ 50°> 22.5«; C-W, 2^ 15°» 10«; C. C,
+ !«• 15.5"; height of eye, 42 feet; I. C, -I'.S; D. R. position, L. 41° 45', X
32° 10' W. Solve for line of position.
See page 193 (Form 1). Enter in the form all the given data and find the G.M.T.
and date as before. Take from the Almanac and enter Satm'n's R. A. and d for G. M.
noon 15th, the corrections for G. M. T. from Table IV of Almanac, the R. A. M. S.
for G. M. noon 14th, and its correction for the G. M. T.
Correct the R. A. and the d and enter the corrected R. A. in line 11. Nowwork
down the form as in example 2 and find in line 16, ^d r =9° 01'. Enter Table VI
from below with d = 20° 00^ and f = 9° 00', take out a = 8° 30' (nearest half degree).
Reenter same table from above with a = 8° 30' and ^ = 20° 12'. 7 and by interpolating
take out 6 = 20° 26'. 7 and t^ = 9° 03'. 9. Notice that this problem also comes under
the second precept, so C = L-&. Taking L^=41° 26'.7, C; = 21° 00'.
Turning agam to Table VI, where a = 8° 30' and C = 21° 00' take out Tic = 67° 25'
and Z = 22° 38'. The altitude difference obtained as before is 4'. 3 from the body.
Z as obtained is S 22° 18' E (greater than 90° and t is east) or body bears 157^°.
The \j, is found as before and is 32° 12'.9 W.
The assumed position then from which to plot the line is:
La 41° 26'.7 N.
X^ 32° 12'.9 W.
The altitude difference is 4.3 miles away from the body bearing 157J° and the line
of position is at right angles to the bearing.
Second method. — Using an assumed position without interpolating. In this
method a is found to the nearest half degree as in the first method. Now instead
of entering with a and the given d and interpolating for h and t, enter with a and
take out h and t as found opposite that tabulated value of d which is nearest to the
given d. This tabulated value is taken out as the assumed d and marked d'. C is
obtained by combining b and L in the usual way. As 6 in this method will be in
whole degrees, L^ is taken as the nearest whole degree to L^.r. Now with a and C
take out h' and Z' (approximate values of h and Z). The values of h' and Z' are in
in error by an amount depending on the effect of Ad = d — d', the difference between
the assumed and the true declination.
The correction to Z', AZ, is always so small it may be neglected in practical
work.
The correction to h', Ah, is given by the formula:
Ah = Ad cos M
M, as previously shown, is a combination of a and /3. So when taking out b and
t from the tables also take out the corresponding a; and likewise /3 when taking out
h' and Z'. The manner in which a and /? must be combined to give M is shown in
the precepts.
To find the value of A^ per minute of declination, or its equivalent cos M, enter
the second column of Table VII with 90° — M instead of Z' in the first column. The
sign of A?^ is determined as follows :
When M is less than 90°, Ah has the same sign as Ad; and for M greater than
90°, the opposite sign.
The three examples worked out by the first method will now be used to illus-
trate the second method.
Example 1. — See page 196 (Form 2). The procedure is the same as in the first
method, down to and including the determination of a. Now enter Table VI with
a = 38° 30' and find d' = 23° 02' (the tabulated value nearest to the given d). Enter
it in the form, line 12, and take out and enter the values of b, tj,, and a as found oppo-
site d\ Now take La = 29° 00' (the nearest whole degree to Lp. r.). C is now
obtained by combining b and L^ as before, and this gives = 59° 00'.
With a = 38° 30' and = 59° 00', take out h', Z', and /3. As this example comes
under the fourth precept, M = a + /3 = 140°.l, Ad = d-d' =8'.3.
Entering the first column of Table VII with 90°-M = 90°- 140°.l =50°.l, cos
M is found to be 0.77, and this multiplied by AcZ = 8'.3 gives 6'. 3 as the value of A^.
ALTITUDE AND AZIMUTH TABLES. [Page 195
Referring to the i-ule given above for determining the sign of A/i, it is seen that
as M is greater than 90°, and Ad is plus, A^ is minus. Applying A^ to h' gives he
23° 39'. 7. The altitude difference is 24'. 6. Neglecting AZ, the bearing of the body-
is S 42° 52' E, or 137°. The londtude, X^, is found to be 78° 39'.8.
The assumed position, then, from which to plot the line is:
L, 29° 00' N
K 78° 39 '.8 W
The altitiide difference is 24.6 miles toward the body bearing 137°, and the line of
position is at right angles to the bearing.
Example 2. — See page 196 (Form 2). Entering Table VI from above with a =
9° 30', take out ^' = 12° 49'; also the corresponding t^, b, and a. L^ is taken as
35° 00'; then C=La-6 = 22° 00'. Now with a = 9° 30' and C = 22° 00', take out
7i', Z', and ^. By the precepts, M = a-/3 = 20° 00'. Ad = d-d' = -2Q'A. From
Table VII, cos M is 0'.94; and hence AcZxcos M = A?i = 26.4x0.94 = 24'. 8.
In this example, since M is less than 90°, Ah is minus like Ad. Applying Ah to h'
gives Ac = 65° 43'. 2; and the altitude difference is 28'. 4 toward the body bearing S
24° 04' W, or 204°. The X^ is found to be 65° 22'.6 W.
The assumed position, then, from which to plot the line is:
L, 35° 00' N
\j, 65° 22'.6 W
The altitude difference is 28.4 miles toward the body bearing 204° and the line of
position is at right angles to the bearing.
Example S. — See page 197 (Form 2). Entering the tables from above with a =
8° 30', take out d' = 19° 46', also the corresponding tj,, h, and a. Take L^ = 42° 00',
and combining it with h, gives C = 22° 00'. Now enter with a = 8° 30' and C = 22° 00'
and take out /i',Z', and (8. By the precept, M = a- /3 = 16°.l. Ad = 26.7. FromTable
VII cos M is 0.96; and hence Ad X cos M = AA = 26.7 X 0.96 = 25'. 7. Since M is less
than 90°, Ah is plus like Ad. Applying Ah to h' gives i^c = 66° 54'. 7, and the altitude
difference is 26.0 toward the body bearing S 21° 45' E, or 158°. The X^ is found to be
32°11'W.
The assumed position, then, from which to plot the line is:
L^ 42° 00' N
Xa32° 11' W
The altitude difference is 26.0 miles toward the body bearing 158°, and the line of
position runs at right angles to the bearing.
Third method. — Usmg the D. R. position. This method is the least desirable for
the practical navigator in that it involves interpolating and also the correcting of the
h and Z obtained. It is given here because the line is plotted from the D. R. position,
and its use may be desirable when tD,^,—t is large, when the altitude difference is
large, or when two or more lines of position are to be plotted simultaneously.
The values of a and b are obtained by using tj^ instead of to. r. as in the first
method. Then b is combined with Ld. r. to get C. C will seldom come out in whole
degrees, so entering the tables with a and C it will be necessary to interpolate for A,'
and Z'. Since the h' and Z' obtained are for L^. r. and tj,, they must now be corrected
for the effect of ^d. r. — ^a? or ^^•
The formulas are :
. . ^h . , . . Ah T • rw,
Ah = At X-^, 111 which -TT= ± cos L sm Z .
AjZ = At X -Vt, in which -^ = — sin L.
A,Z = AhX^, in which ^= -tan h' cot Z'.
AZ = AiZ + A2Z.
In Tables \1I and VIII are given the values of the coefficients -^» -vr» and -^t
the arguments being the elements shown in the above formulas. Above the tables are
Page 196]
ALTITUDE AND AZIMUTH TABLES.
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Page 198]
ALTITUDE AND AZIMUTH TABLES.
also given the precepts for determining their signs. The correction AZ is generally
negligible, unless A< is large. The same examples which were solved by the first and
second methods will now be worked out to illustrate the third method.
Example 1 . — See page 200 (Form 3) . The value of a is determined as before, and is
79* so* 40' 30" zo' 10* 78*
38° 30'. Now entering the tables with thisa Sindd = 23° 10'.3, take out6 = 30° ll'.3and
<^ = 42°37'.4. 6 is combined with Ld R and gives C = 59° 22'. 3. Enter with a and C
and by interpolating take out h' = 23° 29'.6 and Z' 42° 45'. Now A< = ^.e. - <a = - 14.2.
Turn to Tables VII and VIII and take out -^ » -^» and -A- » and enter them with their
proper signs in lines 19, 24, and 26, respectively.
Ah
A/i = A<X^— -14'.2X-.59=+8'.4 A^Z^A^X^:
-14'.2X+.49=-7'
A2Z = A?iX^=+8'.4X-.48=-4'.
Applyuig Ah to h' gives Ac = 23° 38'. 0, and applying A^Z and AjZ to Z' gives
Z = 42*' 34'
The altitude difference is 26.3 miles toward the body bearing S 42° 34' E, or
137^°, and the line is plotted from the D. R. position.
Example 2. — See page 200 (Form 3). — Entering the tables with a = 9° 30' and
66*
I ' 1 1 r 1
»)' «f 30' 2tf 10' 6!
^ { ■■.. | ..>.j.... | .l.i .| .... |, ,.. | ..., | ,.,.[.. M| ..,,.
65*
JEraxniile- 2
??z
-•35*
-SOf
-•40'
-•30'
d=l2° 22'.6, takeout&=12°33'.3 and<^ = 9° 44'. C = Li, « -& = 22° 04'.7. Enter
with a and C and by interpolation find h' = 66° 03'.7 and Z' = 23° 59'. A< = + 11'.6.
ALTITUDE AND AZIMUTH TABLES.
Page 199]
From Tables VII and VIII take out
a7 ' aT' ^ Ah "^^*" their proper signs.
The
corrections A^, AjZ, and AjZ are obtained as explained in example 1 ; applying them
to Ji' and Z' we find hc = e>5° 59'.9 and Z = 24° 25'.
The altitude difference is 11'.7 toward the body bearing S 24° 25' W, or 20^°,
and the line is plotted from the D. R. position.
Example 5.— See page 201 (Form 3). Entering Table VI with a = 8° 30' and
^ = 20°12'.7,takeout6 = 20°26'.7and^A = 9°03'.9. C = Li, ^ -& = 21° 18'.3. Enter
with a and C and by interpolating take out ^'=67° 07'.9 and Z' =22° 22'. A^ =
— 2'. 9. From Tables VII and VIII take out ~^. > -~r, and -^ with their proper signs.
The corrections A^, AjZ, and AjZ are obtained as before. Applying them to h' and
Z' gives ^c = 67° 08'.7 and Z = 22° 15'.
The altitude difference is 12.0 miles toward the body bearing S 22° 15' E, or
157f °, and the line is plotted from the D. R. position.
The three lines of position, determined by the solutions of the three foregoing
examples, are charted in the accompanying diagrams. The line of position from
each example falls in the same place — as of course it should — whether laid down from
Pi, P2, or p^, the respective points indicating the geographical positions from which
the altitude differences are to be reckoned in the three solutions of each example by
the three different methods.
Page 200]
ALTITUDE AND AZIMUTH TABLES.
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[Page 201
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[Page 203
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Page 204]
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[Page 213
46
47
48
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60
61
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63
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65
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67
68
70
71
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2.92
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75 37
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34 4
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1.30
38 59
59
1.40
41 56
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1.46
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1.58
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3-35
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2.97
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3^77
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
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10
9
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6
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Page 214] 6.314
5976
5-671
\
= 9^0'
a = 9
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A
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A
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A
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d =
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d = £
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5-671
[Page 215
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Page 216] 5396
SMS
4-915
10
II
12
13
14
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16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
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37
38
39
40
41
42
43
44
45
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1.02
33
53
1.02
35
7 52
1.02
36
« 51
1.02
38
9 50
1.02
40
10 49
1.02
42
II 48
1.02
44
12 47
1.02
46
13 46
1.02
49
14 45
1.02
52
15 44
1.03
55
16 42
1.02
58
17 41
1,02
II 2
18 40
1.02
6
19 39
1.02
10
20 38
1.02
14
21 37
1.02
18
22 36
1.03
23
23 34
1.02
28
24 33
1.02
33
25 32
1.02
39
26 31
1.03
45
27 29
1.02
51
28 28
1.02
58
29 27
1.02
12 5
30 26
1.03
12
31 24
1.02
20
32 23
1.03
28
33 21
1.02
36
34 20
1.03
45
35 i«
1.02
54
36 17
1.03
13 4
37 15
1.02
14
3« 14
1.03
25
39 12
1.03
36
40 10
1.02
48
41 9
1.03
14
42 7
1.03
13
43 5
1.03
27
44 3
41
0.00
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.02
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0.02
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•03
•03
0.03
•03
.03
.05
.05
0.05
.05
.07
.07
.07
0.07
.07
.08
.08
.08
a = ir 0'
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A
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• 13
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0.15
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0.20
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60'
A
b
A_
60'
d = 10° sc
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1.02
59
1.02
I
58
1.02
2
57
1.02
3
56
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4
54
1.02
5
53
1.02
6
52
1.02
7
51
1.02
8
SO
1. 02
9
49
1.02
10
48
1.02
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47
1,03
12
45
1.02
13
44
1.02
14
43
1.02
15
42
1.02
16
41
1.03
17
39
1.02
18
38
1.02
19
37
1.02
20
36
1.02
21
35
1.03
22
33
1.02
23
32
1.02
24
31
1.03
25
29
1.02
26
28
1.02
27
27
1.03
28
25
1.02
29
24
1.03
30
22
1.02
31
21
1.03
32
19
1.02
33
18
1.03
34
16
1-03
3 5
14
1.02
36
13
1.03
37
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1.03
38
9
1.03
39
7
1.03
40
5
1.03
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3
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1.03
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1.03
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57
10
12
14
17
20
23
26
29
33
37
41
46
51
56
12 I
6
12
18
25
32
39
47
55
13 3
12
21
31
41
51
14 2
14
27
40
53
15 7
22
60'
A
d = irO'
0.00
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.02
.02
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0.02
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0.03
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0.05
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0.08
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0.13
• 13
• 13
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0.17
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0.22
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a = 11° 30'
A
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60'
A
60'
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1.02
59
1.02
I 58
1.03
2 56
1.02
3 55
1.02
4 54
1.02
5 53
1.02
6 52
1.03
7 50
1.02
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1.02
9 48
1.02
10 47
1.03
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1.02
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1.02
13 43
1.02
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1.03
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1.02
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1.03
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1.02
19 35
1.02
20 34
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1.02
22 31
1.03
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1.02
24 28
1.03
25 26
1.02
26 25
1.03
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1.02
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1-03
29 20
1.02
30 19
1.03
31 17
1.03
32 15
1.02
33 14
1.03
34 12
1.03
35 10
1.03
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1.03
37 6
1.03
38 4
1.03
39 2
1.03
40
1.03
58
1.03
41 56
1.03
42 54
1.03
43 52
11 30
30
30
31
32
33
34
35
37
38
40
42
45
48
51
54
57
12 I
5
9
13
18
23
28
33
39
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0.08
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0.17
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60'
A
^ = 11" 30'
A_
60'
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88
86
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82
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
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63
62
61
60
59
58
57
56
55
54
53
52
51
50
48
46
45
90.0
89.8
89.6
89.4
89.2
89.0
88.9
88.7
88.5
88.3
88.1
87.9
87.7
87-5
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87.1
86.9
86.7
86.5
86.2
86.0
85.8
85.6
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85.1
84.9
84.7
84-5
84.2
84.0
83-7
83.5
83.2
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82.7
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80.9
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80.3
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5-145
4-915
[Page 217
\
a = 10° 30'
a = iro'
a = 11° 30'
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60'
A
60'
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(i-ll°30'
Page 218] 4.705
4-5II
4332
\b
a
= 12° 0'
a = lJ
2" 30'
a = 13° 0'
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1-55
67 2
1.30
39 56
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18
53-3
73
68 25
1.30
39 24
1.65
68
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40 27
1.68
48
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41 30
1.68
17
5i^6
74
69 II
1.36
41 3
1.80
52
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42 8
1.80
68 32
1.40
43 II
1.80
16
49.8
75
55
1.36
42 51
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69 36|
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43 56
'•93
69 15
'•43
44 59
1.93
15
47^9
76
70 39
1-43
44 47
2.08
70
18
1.46
45 52
2.08
57
1.50
46 55
2.07
14
45-9
^2
71 21
1.50
46 52
2.23
5§
'•54
47 57
2.23
70 37
'•54
48 59
2.22
13
43-7
78
72 I
1.58
49 6
2.42
71
38
1.58
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2.40
71 16
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51 12
^•38
12
413
79
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1.67
51 31
2.60
72
16
1. 71
52 35
2.57
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1.71
53 35
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38.8
80
73 15
1.76
54 7
2.80
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1.82
55 9
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72 27
1.88
56 7
2.72
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36.1
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1.88
56 55
2.98
73
24
1.94
57 54
2.93
59
2.00
58 50
2.88
9
33-2
82
74 21
2.14
59 54
3.18
55
2.14
60 50
3.12
73 29
2.22
61 43
3^o5
8
30^2
83
49
2.31
63 5
3^38
74
23
2.40
63 57
3^3°
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2.50
64 46
3.22
7
26.9
84
75 15
2.73
66 28
3^58
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2.86
67 15
3.48
74 20
2.86
67 59
3.38
6
235
85
H
3.16
70 3
3-75
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70 44
3.63
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3-53
71 22
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5
19.9
86
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73 48
3-90
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4.29
74 22
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77 42
4-03
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78 9
3.88
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78 34
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81 44
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d = i4>°20'
Page 222]
3
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a = 15°0'
a = 15 30
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76.5
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41 12
1.05
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41 5
1.07
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1.07
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44
42 9
1.07
26
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42 I
1.07
21 5
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75-5
45
43 5
45
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25
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a
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a
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A
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A
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A
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d=^\
5°0' 6
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d = \
6°0'
3-73-'J
3.606
3487
[Page 223
a = 15° 0'
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
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1.46
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1.71
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71 28
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3-73
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60'
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3-32
3-42
3-45
3^48
_A_
60'
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
II
10
9
8
7
6
5
4
3
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74.0
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72.9
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71.7
71.1
70.5
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69.1
68.4
67.6
66.8
66.0
65.2
64-3
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62.3
61.3
60.2
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40.8
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3-7
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Page 224] 3.376
3-271
3.172
^
a = 16° 30'
a=\r^'
a = 17° 30'
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3-378
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3.172
1
Page 225
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55901°— IS-
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Page 226]
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3.078
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[Page 227
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Page 228] 2.824
2.748
2.67s
10
1 1
12
13
14
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16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
36
37
38
39
40
41
42
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Page 230]
2
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2539
2-475
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A
60'
A
60'
d = 2i°0'
J = 21" 30'
d = 22° 0'
Page 232] 2414
2356
2.300
\
a = 22^ 30'
a = 23°0'
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17
15 40
1.09
25
.12
15 37
1.09
56
.12
15 33
1.09
27
.12
73
83.2
18
16 35
1.09
32
.12
16 32
I.II
24 3
•13
16 28
I.II
34
.13
72
82.8
19
17 30
1.09
39
•13
17 26
1.09
11
• 13
17 22
1.09
42
•13
71
82.3
20
18 25
1.09
47
0.13
18 21
1.09
19
0.13
18 17
I.II
50
0-13
70
81.9
21
19 20
1.09
55
•IS
19 16
MI
27
•»5
19 II
1.09
58
•15
69
81.5
22
20 IS
1.09
24 4
•17
20 10
1.09
36
•15
20 6
I.II
25 7
•«7
68
81.0
23
21 10
I. II
14
•17
21 5
I.II
45
•17
21
I.II
17
• 17
67
80.6
24
22 4
1.09
24
•'7
59
1.09
55
.18
54
I.I I
27
.18
66
80.1
25
59
1.09
34
0.18
22 54
I.II
25 6
0.18
22 48
I.II
38
0.18
65
79-7
26
23 54
I. II
45
.18
23 48
I.II
17
.18
23 42
I.II
49
.20
64
79.2
27
24 48
I. II
56
.20
24 42
I.TI
28
.20
24 36
I.II
26 I
.20
63
78.7
28
25 42
1.09
25 8
.22
25 36
MI
40
.22
25 30
I.II
13
.22
62
78.3
29
26 37
I. II
21
.22
26 30
I.II
53
.23
26 24
I.II
26
• 23
61
77-8
30
27 31
i.ii
34
0.23
27 24
I.II
26 7
0.23
27 18
M3
40
0.23
60
77^3
31
28 25
MI
48
.23
28 18
I.II
21
• 23
28 II
MI
54
•25
5§
76.8
32
29 19
I.II
26 2
■25
29 12
I-I3
35
.27
29 ■;
'•I3
27 9
.25
58
76.3
33
30 13
I.II
17
•27
30 5
I.I I
51
•27
58
'•i3
24
.27
5Z
75-8
34
31 7
I.13
33
.28
59
1. 13
27 7
.28
30 51
1. 13
40
.28
56
75-2
35
32
I.II
SO
0.28
31 52
1. 13
24
0.28
31 44
1. 13
57
0.30
55
74-7
36
54
M3
27 7
.30
32 45
I-I3
41
• 30
32 37
'•i3
28 15
.32
54
74.2
1>7
Zl 47
I-I3
25
•32
33 38
'•n
59
.32
33 30
i^J3
34
• 32
53
73-6
38
34 40
1.13
„ 44
.33
34 31
1. 13
28 18
•33
34 23
1. 15
53
•35
52
730
39
35 33
1. 13
28 4
•33
35 24
1. 13
38
•35
35 15
'•15
29 14
•35
51
72.4
40
36 26
1. 13
24
0.35
36 17
1.15
59
0.37
3^ 7
1.15
35
0.37
50
71.8
41
37 19
1. 15
45
.38
37 9
I. IS
29 21
•38
59
1. 15
57
.38
4^
71.2
42
38 II
1. 15
29 8
.40
38 I
1.15
44
.40
37 51
1. 15
30 20
.40
48
70.6
43
39 3
1. 15
32
.40
53
1. 15
30 8
•42
38 43
1. 18
44
.42
4Z
70.0
44
55
1.15
56
•43
39 45
1.15
33
•43
39 34
1.15
31 9
• 43
46
69.3
45
40 47
30 22
40 37
59
40 26
35
45
68.7
a
60'
h
^
a
60^1
6
A_
a
60'
6
A
a
t
^
6c/
A 1
60'
A
6c/
d
= 22° 30'
I
i = 2
S^'O'
d
= 25
l°30'
2.414
2.356
2-300
[Page 233
45
46
47
48
49
50
51
52
53
54
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
7i
72
73
74
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
= 22" 30'
6c/
A
/
/
40 47
1. 15
30 22
41 39
1. 15
48
42 31
1. 18
31 16
43 22
1. 18
45
44 13
1.20
32 16
45 3
1.20
48
53
1.20
iZ 21
46 43
1.20
56
47 23
1.22
34 32
48 22
1.22
35 10
49 II
1.25
. 50
59
1.25
36 32
50 47
1.25
37 15
51 35
1.28
38 I
52 22
1.30
48
53 8
1.30
39 38
54
1.30
40 31
54 40
1.36
41 25
55 24
i.S*^
42 23
5b 8
1.40
43 23
51
1.40
44 26
57 34
1-43
45 31
58 16
1-50
46 40
5<3
1.50
47 52
59 36
1.54
49 8
60 15
1.62
50 27
52
1.62
51 50
61 29
1. 71
53 17
62 4
..76
54 47
38
1.82
56 21
63 II
1.94
58
42
2.07
59 43
64 II
2.14
61 30
39
2.31
63 21
65 5
2.50
65 16
29
2.73
67 15
51
3.00
69 19
66 II
3-33
71 26
29
3-75
73 36
45
4.29
75 50
59
';-4';
78 7
67 10
6.67
80 26
19
lO.O
82 48
25
iS.o
85 II
29
60.0
87 35
30
90
6<y ,
—
A
0.43
•47
.48
.52
.53
0-S5
.58
.60
.63
.67
0.70
.72
•77
.78
.83
.90
•97
.00
•05
.08
•15
.20
•27
•32
.38
•45
•5^
•57
.65
.72
.78
•85
.92
.98
2.07
2.12
2.17
2.23
2.28
2.32
2-37
2.38
2.40
2.42
6c/
a = 23''0'
_A_
6c/
/
/
40 37
1. 18
30 59
41 28
1. 18
31 26
42 19
1. 18
54
43 10
1.20
32 23
44
1.20
54
50
1.20
33 26
45 40
1.20
34
46 30
1.22
35
47 19
1.22
35 12
48 8
1.25
50
56
1.25
36 30
49 44
1.25
37 12
50 32
1.28
56
51 19
1.28
38 42
52 6
1.30
39 30
52
'•33
40 20
53 37
1^33
41 12
54 22
i.^b
42 7
55 b
1.40
43 5
49
1.40
44 5
56 32
'•43
45 8
57 14
1.46
46 13
55
I. SO
47 22
58 35
1.50
48 34
59 15
1.58
49 50
53
1.62
51 8
60 30
1.67
52 31
61 6
1. 71
53 57
41
1.82
55 27
62 14
1.88
57
46
2.00
58 38
63 lb
2.C7
60 19
45
2.14
62 5
64 13
2.40
63 54
38
2.50
65 48
65 2
2.86
67 45
23
3.00
69 46
.. 43
3^33
71 51
66 I
4.00
73 59
16
4,62
76 10
29
5.45
78 24
40
6.67
80 40
49
lO.O
82 58
55
'5-0
85 18
59
60.0
87 39
67
go
60^ ,
—
._iJ_
d = 23°0'
77
,82
,90
■95
2.02
2.08
2^I3
2.18
2.23
2.27
2.30
2-33
2^35
2.35
_A^
60'
a = 23° 30'
10'
A
^
(&
/
/
40 26
1. 18
31 35
0.
41 17
1.20
32 3
42 7
1. 18
31
58
1.20
33 I
43 48
1.20
32
44 38
1.22
34 5
0.
45 27
1.22
39
46 16
1.22
35 14
.
47 5
1.22
51
,
54
1.25
36 30
,
48 42
1.28
37 10
0.
49 29
1.28
52
50 16
1.28
38 36
51 3
1.30
39 22
49
1.30
40 10
52 35
1.33
41 I
0.
S3 20
U3b
53
54 4
1.36
42 48
48
1.40
43 46
55 31
'•43
44 46
I,
56 13
1.46
45 49
54
..46
46 55
57 35
'•5°
48 3
58 15
1.58
49 15
53
1.58
50 30
59 31
1.62
51 49
60 8
1. 71
53 II
43
1.76
54 36
61 17
1.82
56 5
50
1.94
57 38
I.
62 21
2.00
59 14
I.
51
2.14
60 55
63 19
2.22
62 39
I.
46
2.40
64 27
.
64 II
2.61
66 18
34
2^73
68 14
I.
56
3.16
70 13
2.
65 15
3^53
72 15
2.
32
4.00
74 21
2.
47
4.62
76 29
2.
66
5^45
78 40
2.
II
7-^°
80 53
2.
19
1 0.0
83 8
2.
25
i5^°
85 25
2..
29
60.0
87 42
2.
30
90
'3
03
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
II
10
9
8
7
6
5
4
3
2
I
68.7
68.0
67.3
66.S
65.8
65.0
64.2
634
62.6
61.7
60.8
59-9
S9.0
58.0
57-0
55-9
54.8
53-7
52.5
Si-3
50.0
48.7
47^4
46.0
44^5
430
41.4
397
38.0
363
34-4
325
30.6
28.5
26.4
24.3
22.1
19.8
17.4
15- 1
12.6
10. 1
7.6
0.0
6c/ ,
—
A
(i = 23°30'
_A
6c/
Page 234] 2246
2.194
2-145
\b
a = 24°0'
a = 24° 30'
a = 25°0'
A-
\ **
\(f
60'
\ t
A
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60'
1 \^
A
h\
60'
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b\
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A
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60'
h\
A
1^
60'
A
z\
6cy
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/
/
/
/
/
/
p
rj
1.09
24
0.00
1.09
24 30
0.00
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25
0.00
90
90.0
I
55
1.09
.02
55
I. II
30
.02
54
1.09
.02
89
89.6
2
I 50
1. 1 1
I
.02
I 49
1.09
31
.02
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I.I I
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.02
88
89.2
3
2 44
1.09
2
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2 44
I.I I
32
.02
2 43
1.09
2
.02
87
88.8
4
3 39
1.09
3
.03
3 38
1.09
33
•03
3 38
I. II
3
•03
86
88.3
5
4 34
1.09
5
0.03
4 33
I. II
35
0.03
4 32
I. II
5
0.03
85
87.9
5 29
1.09
7
•°5
5 27
1.09
37
.05
5 26
I.I I
7
.05
84
87^5
7
6 24
I. II
10
.05
6 22
1.09
40
.05
6 20
1.09
10
.05
83
ll-"-
S
7 18
1.09
13
.05
7 17
I.I I
43
.05
7 15
I. II
13
•05
82
86.7
9
8 13
1.09
16
.07
8 II
1. 1 1
46
.07
8 9
I. II
16
•07
81
86.2
10
9 8
I.I I
20
0.07
9 5
1.09
50
0.07
9 3
I. II
20
0.07
80
8s8
1 1
10 2
1.09
24
.07
10
I.I I
54
.08
57
1.09
24
.08
79
85^4
12
57
1.09
28
• oS
54
1.09
59
.08
10 52
I. II
29
.08
78
85.0
13
II 52
I.I I
33
.10
II 40
I.I I
25 4
.08
1 1 46
I. II
34
.10
77
84.5
14
12 46
1.09
39
.10
12 43
I. II
9
.10
12 40
I. II
40
.10
76
84.1
15
13 41
I. II
45
O.IO
13 37
1.09
15
0.12
J 3 34
I. II
46
0. 12
75
83.7
16
14 35
I. II
51
.12
14 32
I. II
22
.12
14 28
I. II
53
.12
74
83.2
17
15 29
1.09
58
.12
15 26
1. 1 1
29
.12
15 22
I. II
26
.12
73
82.8
18
16 24
I.I I
25 5
•13
16 20
I. II
36
•13
16 16
I.I I
7
•13
72
82.3
19
17 18
I. II
13
.13
17 14
I. II
44
•13
17 10
M3
15
•>3
71
81.9
20
18 12
1.09
21
o.is
18 8
1. 1 1
. 52
0.15
18 3
I. II
23
0.15
70
81.4
21
19 7
I.I I
30
•15
19 2
I. II
26 I
•15
57
I.I I
32
•17
69
81.0
22
20 I
I.I I
39
•17
56
I. II
10
•17
19 51
'•13
42
•17
68
80.5
23
55
I. II
49
•17
20 50
I-I3
20
.18
20 44
I. II
52
.18
67
80.0
24
21 49
I. II
59
.18
21 43
I. II
31
.18
21 38
1-13
27 3
,18
66
79^5
25
22 43
I. II
26 10
o.iS
22 37
I. II
42
0.18
22 31
1. 1 1
14
0.18
65
79.1
20
23 37
1-13
21
.20
23 31
1. 13
53
.20
23 25
M3
25
.20
64
78.6
27
24 30
I. II
33
.22
24 24
1-13
27 5
.22
24 18
'•13
37
.22
63
78.1
28
25 24
'•'3
46
.22
25 17
I. II
18
.22
25 II
1. 13
50
•23
62
77.6
-9
26 17
I. II
59
•23
26 II
i-'3
31
•23
26 4
'•i3
28 4
•23
61
77.1
30
27 II
1-13
27 13
0.23
-V 4
1-13
45
0.25
57
'•i3
18
0.25
60
76^5
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28 4
I-I3
27
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57
•••3
28
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27 50
1. 15
33
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59
76.0
^2
57
i-'3
42
.27
28 50
1. 13
15
•27
28 42
1. 13
48
•27
58
75-5
33
29 50
1-13
58
•27
29 43
1. 15
31
.28
29 35
1. 15
29 4
.28
57
74-9
34
30 43
1-13
28 14
.28
30 35
'•13
48
.28
30 27
1.15
21
•33
56
74^4
35
3^ 36
1-13
31
0.30
31 28
1. 15
29 5
0.30
31 19
1. 15
39
0.32
55
73-8
so
32 29
1. 15
49
•32
32 20
1. 15
23
•33
32 II
1. 1 5
58
•32
54
73-2
37
33 21
1. 15
29 8
•33
33 12
1. 15
43
•33
33 3
i.iS
30 17
•33
53
72.6
38
34 13
1. 15
28
•35
34 4
1. 15
30 3
•35
55
1.15
37
•35
52
72.0
39
35 5
1. 15
49
•35
56
1. 15
24
.35
34 47
1. 18
58
• 37
51
71.4
40
. -"^^
1. 15
30 10
0.37
35 48
1. 18
45
0.37
3 5 38
1. 18
31 20
0.38
50
70.8
41
36 49
I.I s
32
.40
36 39
1. 18
31 7
.40
36 29
1. 18
43
.40
49
70.2
42
37 41
1. 18
56
.40
37 30
1. 18
31
.42
37 20
1. 18
32 7
•40
48
69-5
43
38 32
1. 18
31 20
.42
38 21
i.iS
56
.42
38 II
1.20
31
•43
47
68.9
44
39 23
1. 18
45
•45
39 12
i,i8
32 21
•45
39 I
1.20
57
•45
46
68.2
45
40 14
32 12
40 3
48
51
33 24
45
67^S
a
60'
b
A
a
Gey
b
A
a
6(/
h
A
a
t -
A
60'
A
(&
A
60'
f/ = 24'*0'
ti = 24°30'
d = 25°0'
45
4b
47
48
49
50
51
^2
=^3
54
55
50
57
SS
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
76
77
78
79
80
Si
82
83
85
86
87
88
89
90
2.246
a = 24°0'
40 14
41 5
55
42 4;-;
43 35
44 2S
45 14
46 3
51
47 39
27
14
I
47
33
52 18
53 2
46
54 29
^5 II
53
56 34
57 14
53
58 31
59 8
44
60 19
53
61 25
56
62 26
54
63 20
44
64 7
28
47
65 3
18
31
41
49
55
59
66 o
■94
2.00
2.14
2-3'
2.';0
2,61
3.16
3-75
4.00
4.62
6.00
7.50
lO.O
15.0
60.0
12
39
8
38
34 10
33
43
35 17
36 30
37 9
49
38 32
39 16
40 2
50
41 41
42 34
43 29
44 27
45 27
46 30
47 35
48 44
49 5 5
51 10
52 28
53 49
55 14
36 42
58 14
59 50
61 29
63 12
64 58
66 48
68 42
70 39
72 39
74 42
76 47
78 55
81 6
83 18
85 31
87 45
00 o
60'
a —
60'
0.4';
.48
.50
•53
•55
0.57
.60
.62
• 65
.67
0.72
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56
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55 52
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63 44
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65 29
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69 9
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71 3
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3-53
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75 2
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39 51
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40 41
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42 20
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46 22
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2.13
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60'
A
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6(y
d = 25° 0'
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
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19
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17
16
15
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13
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Page 236] 2 097
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a = 26° 30'
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[Page 237
/
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39 15
1.22
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Page 238]
1.963
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46
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71
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d = 30° SCK
d = Z\°Q'
Page 244]
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1-570
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1.20
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1.20
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1.20
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54
1. 18
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1.20
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1.20
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1.20
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1.20
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17 47
1.20
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17 42
1.22
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18 37
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1.20
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1.600
1-570
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a = 32°0'
a = 32° 30'
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d=^22°0'
r/ = 32°30'
Page 246] i 54°
1.483
K
o = 33°0'
a = 33° 30'
a = 34° 0'
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1.22
40
0.18
70
78.6
21
17 29
1.20
49
.18
17 23
1.22
20
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17 17
1.22
51
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69
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22
18 19
1.22
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18 12
1.22
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18 6
1.25
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68
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19 8
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50
1.25
55
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19 42
1.25
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20 46
1.25
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0.23
20 38
1.22
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0.23
20 30
1.25
39
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65
75-6
20
21 34
1.22
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21 27
1.25
22
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21 18
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64
74-9
27
22 23
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74-3
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1.25
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54
1.25
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62
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29
59
1.25
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51
1.25
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1.28
38
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61
73-0
30
24 47
1. 25
52
0.28
24 39
1,28
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0.28
24 29
1.28
55
0.28
60
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31
25 35
1.25
37 9
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25 26
1.28
40
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25 16
1.28
38 12
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59
71.7
32
26 23
1.25
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26 13
1. 28
58
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26 3
1.28
30
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58
71.0
33
27 II
1.28
45
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27
1.28
38 17
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50
1.28
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57
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34
58
1.28
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47
1.28
36
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27 37
1.28
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56
69.6
35
28 45
1.28
24
0-35
28 34
1.28
56
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28 24
1.30
28
0-35
55
66.9
30
29 32
J. 28
45
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29 21
1.30
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29 10
1.30
49
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34
68.1
17
30 19
1.30
39 7
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30 7
1.30
39
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56
1.30
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38
31 5
1.30
30
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53
1.30
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30 42
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34
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52
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51
1.30
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31 39
1.30
25
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31 27
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57
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40
32 Z7
1.30
40 17
0-43
32 25
1-33
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32 12
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0.42
50
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41
33 23
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41 15
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49
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1.36
42 14
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48
43
53
1-33
36
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34 40
1.36
42 9
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34 26
1.36
41
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47
62.8
44
35 38
1.36
42 5
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35 24
1.36
37
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35 10
1.40
43 10
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46
61.9
45
36 22
34
36 8
43 6
53
39
45
61. 1
a
60'
6
A
a
60'
h
_A^
a
6c/
h
A
a
t
A
6c/
A
6c/
A
60/
d
= 33° 0'
d
= 33° 30'
^ = 34° 0'
1.540
1.5"
1.483
[Page 247
4.S
46
47
48
49
50
51
52
53
54
55
^7
q8
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
78
79
80
81
82
^3
S4
85
80
87
88
89
90
a = 33° 0'
A
/
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42 34
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1.36
43 4
50
1.40
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38 33
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44 9
39 16
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59
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45 18
40 41
1.46
54
41 22
1.46
46 32
42 3
1.46
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44
1.50
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43 24
1.54
48 33
44 3
1.54
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45 20
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1.62
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46 35
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52 24
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1.71
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48 21
1.76
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1.82
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58 58
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6.00
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47
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83 52
53
15.0
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57
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,65
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0.72
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= 33° 30'
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36 8
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1.40
37
37 35
1.40
44 8
38 18
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41
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45 15
42
1.43
50
40 24
1.46
46 27
41 5
1.50
47 4
45
1.50
43
42 25
I 50
48 23
43 5
1-54
49 5
44
I 58
48
44 22
1.58
50 33
45
1.62
51 19
n
1,62
52 7
46 14
..67
56
so
1. 71
53 47
47 25
..76
54 39
59
1.76
55 33
48 33
1.88
56 20
49 5
1.88
57 26
37
1-94
58 26
50 8
2.00
59 -^7
38
2,07
60 30
51 7
2.14
61 34
35
2.22
62 40
^z 2
2.31
63 48
28
2.40
64 58
53
2.i;o
66 10
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2^73
67 24
39
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68 39
54 I
3.00
69 55
21
3-33
71 14
39
3-53
72 34
56
3-75
73 55
55 12
4.00
75 18
27
4.62
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40
5.00
78 7
52
6.00
79 34
56 2
7.50
81 2
10
8.57
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17
lO.O
83 59
23
15.0
85 29
27
30.0
86 59
29
60.0
88 29
30
90
_A
60'
0.52
.52
•55
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.58
0.62
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.65
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0.72
•75
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.80
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0.85
■87
.90
■93
•95
60^
A
i^ = 33°30'
60'
A
35 53
36 36
37 19
38 2
44
39 26
40 7
48
41 28
42 7
46
43 25
44 3
40
45 17
S3
46 28
47 3
37
48 10
42
49 14
44
50 14
43
51 10
37
52 3
27
50
53 12
33
53
54 II
28
44
58
55 II
22
32
41
48
53
57
59
56 o
2.00
2,00
2.07
2.22
2.22
2.31
2.50
2.G1
2-73
2.86
3.00
3^33
3^53
3-75
4.29
4.62
5-45
6.00
6.67
8-57
12.0
15.0
30.0
60.0
60^
A
43 39
44 9
41
45 14
48
46 23
59
47 37
48 16
56
49 37
50 20
51 5
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52 38
53 27
54 18
55 10
56 4
59
57 56
58 55
59 55
60 57
62 I
63 7
64 14
65 23
66 34
67 46
69 o
70 16
71 33
72 52
74 12
75 34
76 57
78 21
79 46
82 38
84 6
85 34
87 2
88 31
90 o
A
60'
•53
•55
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0.60
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0.72
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.82
0.85
.87
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•92
•95
d = 34°0'
C
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
20
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
II
10
9
8
7
6
5
4
3
2
I
61. 1
60.3
59-4
58.S
57-6
56^7
557
54-8
53-8
52^8
51.8
50.7
49.6
48^5
47-4
46.3
4SI
43-9
42.7
41-5
40.2
58.9
37-6
36.2
348
334
32.0
30^5
29.0
27s
259
24-3
22.7
21. 1
19.4
17.7
16.0
14-3
12.5
10.8
9.0
7.2
1%
1.8
ao
Page 248] i-455
1 428
1.402
B
10
1 1
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
a = 34° 30'
a = 35°0'
60'
/
/
1.22
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9 3
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57
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1. 25
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1.25
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1.25
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60'
60'
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49
38
27
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22
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6
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48
10 37
11 26
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15 28
16 16
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52
18 40
19 28
20 15
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24 II
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25 44
26 30
27 16
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29 32
30 17
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34 41
35 24
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0.18
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60'
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a = 35° 30'
d, 60'
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60'
/
/
1.22
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1.22
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1.25
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6 30
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56
1.22
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9 45
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1.25
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58
1.25
35
13 46
1.25
43
14 34
1,25
52
15 22
1. 25
37 2
16 10
1.25
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58
1.28
23
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34
18 33
1.28
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19 20
1.28
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20 7
1.28
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1.28
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21 41
1.28
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22 28
1.28
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23 15
1.30
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1.30
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47
1.30
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25 33
1.30
40 4
26 19
1.30
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1.33
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1-33
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1.40
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1.40
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1.40
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34 26
1.40
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35 9
45 15
6^' b
A
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0.00
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.03
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0.05
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0.08
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0.13
• 13
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• 17
• 17
0.18
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0.23
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0.28
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0-35
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0.42
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60'
90
89
88
l7
86
82
81
80
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78
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
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47
46
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90.0
89.4
88.9
88.3
87.7
87.1
86.6
86.0
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84.8
84.2
83.6
83.0
82.5
81.9
81.3
80.7
80.1
79-4
78.8
78.2
77.6
77.0
76.3
75-7
750
74-4
73-7
73-0
72.4
71.7
71.0
70.3
69.6
68.9
68.1
67.A
66.6
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65.1
64.3
635
62.7
61.9
61.0
60.2
M5S
1.428
1.402
[Page 249
a -34° 30'
a=35°0'
a
= 35" 3(y
V
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60'
A
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1.36
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47
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1.40
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60'
A
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1.28
38
47
1.25
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1.28
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1.28
2
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1.25
6
4 44
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9
5 31
1.28
12
6 18
1.28
16
7 5
1.28
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52
1.28
26
8 39
1.28
31
9 26
1.28
37
10 13
1.30
43
59
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50
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1.28
58
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1.30
39 6
13 19
1.28
15
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24
52
1.30
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15 38
1.30
44
16 24
1.30
55
17 10
1.30
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56
1.30
19
18 42
1-33
32
19 27
1.30
46
20 13
1.33
41
58
1-33
15
21 43
1-33
30
22 28
1.36
46
23 12
1-33
42 3
57
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21
24 41
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39
25 25
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58
26 9
1.40
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52
1.40
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27 35
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1.40
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34
31 8
1.46
46
49
1.46
26
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1.46
53
33 II
1.46
47 22
52
51
60'
A
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0.05
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.07
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0.08
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0.13
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.17
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0.23
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0.30
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•33
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0.35
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• 42
0-4 3
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• 48
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60'
d = 3S° 0'
a =38° 30'
o
47
1 34
2 21
3 8
55
4 42
5 28
6 15
7 2
49
8 35
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13 14
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15 32
16 17
17 3
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18 34
19 19
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21 34
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26 40
27 23
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29 30
30 12
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32 16
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33 36
38 30
30
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82
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
CO
49
48
47
46
45
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39.4
38.8
38.2
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80.6
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77-4
76.7
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75-4
74-7
74.0
73-3
72.6
71.9
71.2
70.4
69.7
69.0
68.2
67.4
66.7
65-9
65.1
64-3
63-5
62.7
61.8
61.0
60.1
59-3
58.4
1.303
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1.257
[Page 253
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
85
86
87
88
89
90
a = 37° 30'
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39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
19
18
17
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Page 264]
I
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a
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A
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A
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a
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46
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48
49
50
51
52
53
54
55
56
57
58
59
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62
63
64
65
66
67
68
69
70
71
72
73
74
76
77
78
79
80
81
82
83
84
85
86
87
90
1.235
a = 39°0'
60'
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[Page 265
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32
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28
27
26
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Page 256]
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150
1.130
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1.150
1. 130
[Page 257
a = 40° 30'
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Page 268]
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1.091
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Page
259
\b
a = 42°0'
a =42° 30'
a = 43°0'
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60'
A
A
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32 19
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38 2
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39 4
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63 17
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63 15
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2.31
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42 20
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0.83
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68 18
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70 7
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4.29
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1.02
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77 26
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80
47 3
6.00
79 5
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79 16
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80 9
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80 19
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9
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23
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81 13
1.08
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7.50
81 22
1.07
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83 23
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83 36
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46
12.0
84 28
1. 10
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1.08
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48
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30
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60'
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a
60'
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A
60'
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6
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a
t
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d = 42° 30'
d = 4S°Q'
Page 260] 1054
1.036
1.018
33
34
35
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38
39
40
41
42
43
44
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1.40
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A
89
88
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86
85
82
81
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
49
48
46
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90.0
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88.6
87.9
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1.018
[Page
$261
\
a = 43° 30'
a=44°0'
a =44° 30'
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Page 262]
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1. 000
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[Page 263
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Page 272]
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Page
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Page 282]
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Page 290]
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[Page 291
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Page
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Page 296]
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[Page 297
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a = 70° 30'
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Page 300] 0.296
0.287
0.277
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a = 73° 30'
a = 74°0'
a = 74° 30'
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0.296
0.287
0.277
[Page 301
\b
a = 73°30'
= 74" 0'
a = 74° 30'
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d = 74°0'
(i = 74°30'
Page
302]
0.268
0..
259
0249
\b
a = 75°0'
a = 75° 30'
a = 76° C
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d = 76° 0'
Page 304]
.240
0.231
0.222
iv
a = 76° 30'
a = 77°0'
a = 77° 30'
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Page
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0176
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[Page 309
45
46
47
48
40
50
5-
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
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45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
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Page 310]
0.158
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a = 81° 30'
a = 82°0'
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d = Si
[°30'
d = S
2°0'
0.IS8
0.149
0.141
[Page 311
\
a = 81°0'
a = 81° 30'
a = 82°0'
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3 313
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Page
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Page 316] 0.052
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0.020
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t
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a = 88° 0'
a = 88° 50'
a = 89°0'
a = 90° 0'
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d = 90°0'
{Po/ans inigio)
When Polaris' t < 90 ' : L = {d + B)- 90'.
0.052
0035
0.020
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0.000 [Page 317
K
a = 87° 0'
a = 88°0'
a =88° 50'
a = 89°0'
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3
47
52
10
55
c
56
c
4
87
51
54
10
5<^
57
3
88
54
56
10
58
58
2
89
57
58
lO
59
59
I
90
t
90
90
TO
90
90
a 6
a b
1
a
1'
a
6
a
h
d = STO'
rf = 88°0'
rf = 88°50
d = 89° 0'
d = 9
0^0'
1
{Poparts inigio)
When Polaris' / > 90" : Z. = (90° + B)-b.
Page 318]
TABLE Vn.
Change
! of Altitude per Minute of Arc of Hour Angl
e.
r ^, A/1 AlZ
d a.Tifl T
/ same name .
fK90°
^L>b: „=-;„= +
Ah
At ~
T COS.
LsinZ
f
.f>90° . . .: ,,= + ; ,, = +
AiZ
At ~
= T sin
L
d and L contrary nam«
;g :
.,= -;,.= + |
V
0°
^/
\
5°
10°
15°
20° 25°
30°
35°
40°
45°
50°
55°
60°
65°
70°
/C,
z\
sin Z'
/Z'
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
0°
o. oo
0.00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0. 00
0.00
0. 00
0°
2
• 03
•03
•03
•03
•03
•03
•03
•03
■03
. 02
02
. 02
.02
. 01
. 01
2
4
.07
.07
.07
.07
.07
.06
.06
.06
•05
•05
.04
.04
•03
•03
.02
4
6
. 10
. 10
. 10
. 10
. 10
.09
.09
.09
.08
.07
.07
.06
•05
.04
.04
6
8
• 14
.14
.14
•13
•13
• 13
. 12
. II
. II
. 10
.09
.08
.07
.06
•OS
8
10
0.17
0. 17
0. 17
0.17
0. 16
0. 16
0.15
0. 14
0.13
0. 12
0. II
0. 10
0. 09
0. 07
0. 06
10
12
.21
. 21
. 20
. 20
. 20
• 19
.18
•17
.16
•15
•13
. 12
. 10
.09
.07
12
14
.24
.24
.24
•23
•23
. 22
. 21
. 20
.19
•17
. 16
• 14
. 12
. 10
.08
14
16
.28
.27
.27
.27
.26
•25
.24
•23
. 21
.19
.18
.16
.14
. 12
.09
16
18
•31
•31
•30
•30
.29
.28
■27
•25
.24
. 22
. 20
.18
•15
•13
. II
18
20
0-34
0.34
0.34
0.33
0.32
0.31
0.30
0.28
0. 26
0. 24
0. 22
0. 20
0.17
0. 14
0. 12
20
22
•37
•37
•37
•36
•35
•34
•32
•31
.29
.27
• 24
. 21
19
. 16
•13
22
24
.41
.41
.40
•39
•38
•37
•35
•33
•31
.29
.26
•23
. 20
•17
• 14
24
26
• 44
•44
•43
.42
.41
.40
•38
.36
•34
•31
.28
• 25
. 22
.19
•IS
26
28
•47
•47
.46
•45
•44
•43
.41
•38
•36
•33
•30
.27
•23
. 20
.16
28
30
0.50
0. 50
0.49
0.48
0.47
0.45
0.43
0. 41
0.38
0-35
0.32
0. 29
0.25
0. 21
0. 17
30
32
•53
•53
•52
•51
•50
.48
.46
•43
.41
•37
•34
•30
.27
. 22
.18
32
34
•56
•56
•55
•54
•53
•SI
.48
.46
•43
.40
•36
•32
.28
.24
•19
34
36
•59
•59
•58
•57
•55
•53
•51
.48
•45
.42
•38
•34
•29
•25
. 20
36
38
.62
.61
.61
•59
•58
•56
•53
•50
•47
•44
.40
•35
•31
.26
. 21
38
40
0. 64
0. 64
0.63
0. 62
0. 60
0.58
0.56
0-53
0.49
0. 45
0. 41
©•37
0.32
0. 27
0. 22
40
42
.67
.67
.66
•65
•63
.61
•58
•55
• 51
•47
•43
•38
•33
.28
•23
42
44
.69
.69
.68
.67
•65
•63
.60
•57
•53
•49
•45
• 40
•35
•29
24
44
46
.72
.72
•71
.69
.68
•65
.62
•59
■55
•51
.46
.41
.36
•30
•25
46
48
•74
•74
•73
•72
.70
.67
.64
.61
•57
•53
.48
•43
•37
•31
•25
48
50
0.77
0. 76
0-75
0. 74
0. 72
0. 69
0.66
0.63
0-59
0.54
0.49
0.44
0.38
0.32
0. 26
50
52
•79
.78
.78
.76
•74
•71
.68
•65
.60
•56
•51
•45
•39
•33
.27
52
54
.81
.81
.80
.78
.76
•73
.70
.66
.62
•57
•52
.46
.40
•34
.28
54
56
•83
•83
.82
.80
•78
•75
.72
.68
.64
•59
•53
.48
•41
•35
.28
56
58
•85
.84
•83
.82
.80
•77
•73
.69
.65
.60
•55
■49
.42
•36
.29
58
60
0.87
0.86
0.85
0.84
0.81
0. 78
o^75
0.71
0.66
0. 61
0. 56
0. SO
0.43
0-37
0.30
60
62
.88
.88
•87
•85
•83
.80
.76
•72
.68
.62
•57
•SI
• 44
•37
•30
62
64
.90
.90
.89
•87
.84
.81
.78
•74
.69
.64
•58
•52
•45
•38
•31
64
66
.91
.91
.90
.88
.86
•83
•79
•75
.70
•65
•59
•52
.46
•39
•31
66
68
•93
.92
.91
.90
•87
.84
.80
.76
•71
.66
.60
•53
.46
•39
•32
68
70
0.94
0.94
©•93
0. 91
0.88
0. S^?
0.81
0.77
0.72
0.66
0. 60
0.54
0.47
0. 40
0.32
70
72
•95
•95
•94
.92
.89
.86
.82
.78
•73
.67
.61
•55
.48
.40
■33
72
74
.96
.96
•95
•93
.90
•87
•83
•79
•74
.68
.62
•55
.48
•41
•33
74
76
•97
•97
.96
• 94
.91
.88
.84
•79
•74
.69
.62
•56
•49
• 41
■33
76
78
.98
•97
.96
•94
.92
.89
•85
.80
•75
.69
•63
•56
•49
.41
•33
78
80
0.98
0.98
0.97
0-9S
0^93
0.89
0.85
0.81
0.75
0. 70
0.63
0. 56
0.49
0. 42
0.34
80
82
•99
•99
.98
.96
•93
.90
.86
.81
.76
.70
.64
•57
•50
.42
•34
82
84
•99
•99
.98
.96
•93
.90
.86
.81
.76
.70
.64
•57
•50
.42
•34
84
86
I. 00
•99
.98
.96
•94
.90
.86
.82
.76
•71
.64
•57
•50
.42
•34
86
88
I. 00
I. CX3
.98
•97
•94
.91
.87
.82
•77
•71
.64
•57
•50
.42
•34
88
90
I. 00
I. 00
0.98
0.97
0.94
0.91
0.87
a 82
0.77
0. 71
0. 64
o^57
0. so
0.42
0.34
90
To find -Z7 or sin L, enter column L=0° with L instead of Z\
At
Ad
To find -TT or cos M enter column L=0° with 90-M instead of 2'.
TABLE VIII.
[Page 319
Change of Azimuth per Minute x>f Arc
of Altitud
e.
= - tan/i'cotZ^(-
- always-wiih. Z' less than 90°).
0°
5°
10°
15°
20°
25°
30°
35°
40°
45°
50°
60°
70°
80°
90°
Z'
/
/
/
/
/
/
/
/
/
/
/
/
/
/
0°
ind.
o.oo
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
90°
2
CO
.40
.20
•13
.10
.07
.06
•05
.04
•03
-03
.02
.01
.01
.00
88
4
OO
.80
.40
.26
.19
-15
.12
.10
.08
.07
.06
.04
•03
.01
.00
86
6
oo
1.20
.60
-39
.29
-23
.18
-15
-13
.11
.09
.06
.04
.02
.00
84
8
OO
1. 61
.80
•52
-39
•30
.24
.20
•17
.14
.12
.08
•05
.02
.00
82
10
oo
2.02
1. 00
0.66
0.48
0.38
0-31
0.25
0.21
0.18
0.15
O.IO
0.06
0.03
0.00
80
12
CO
2-43
1. 21
-79
•58
.46
-37
-30
•25
.21
.18
.12
.08
.04
.00
78
14
oo
2.85
1. 41
•93
.69
•53
-43
•36
•30
•25
.21
.14
.09
.04
.00
76
16
CO
3-28
1.63
1.07
-79
.61
•50
.41
•34
.29
.24
•17
.10
•05
.00
74
18
oo
3-71
1.84
1. 21
.89
.70
•56
.46
•39
•32
.27
.19
.12
.06
.00
72
20
oo
4.16
2.06
1.36
1. 00
0.78
0.63
0.52
0.43
0.36
0.31
C.21
0.13
0.06
0.00
70
22
CO
4.62
2.29
1-51
I. II
•87
.70
•58
.48
.40
•34
•23
•IS
.07
.00
68
24
oo
5-09
2-53
1.66
1.22
•95
•77
.64
-53
-45
•37
.26
.16
.08
.00
66
26
oo
5-57
2.77
1.82
1-34
1-05
.84
.70
•58
•49
.41
.28
.18
.09
.00
64
28
oo
6.08
3.02
1.98
1.46
1. 14
.92
•76
•63
•53
•45
•31
.19
.09
.00
62
30
00
6.60
3-27
2.15
1-59
1.24
1. 00
0.82
0.69
0.58
0.48
o^33
0.21
O.IO
0.00
60
32
oo
7.14
3-54
2-33
1.72
1-34
1.08
.89
•74
.62
•52
•36
•23
.11
.00
58
34
CO
7.71
3-83
2.52
1.85
1-45
1. 17
.96
.80
.67
•57
•39
•25
.12
.00
56
36
00
8.30
4.12
2.71
2.00
1.56
1.26
1.04
.87
•73
.61
.42
.26
•13
.00
54
38
00
8-93
4-43
2.92
2.15
1.68
^•35
1. 12
•93
•78
.66
•45
.28
.14
.00
52
40
oo
9-59
4.76
^■'^3
2.31
1.80
1-45
1.20
1. 00
0.84
0.70
0.48
0.31
0.15
0.00
50
42
00
10.29
5-II
3-36
2.47
1-93
1.56
1.29
1.07
.90
.76
•52
■2,3
.16
.00
48
44
oo
11.04
5-48
3.60
2.65
2.07
1.67
1.38
I-I5
•97
.81
•56
•35
•17
.00
46
46
CO
11.84
5-87
3.86
2.85
2.22
1.79
1.48
1.23
1.04
.87
.60
.38
.18
.00
44
48
oo
12.69
6.30
4.14
3-05
2.38
1.92
1-59
1.32
I. II
•93
.64
.40
.20
.00
42
50
oo
13.62
6.76
4-45
3-27
2.56
2.06
1.70
1.42
1.19
1. 00
0.69
0.43
0.21
0.00
40
52
oo
14.63
7.26
4.78
3-52
2.74
2.22
1-83
^•53
1.28
1.07
•74
•47
•23
.00
38
54
oo
15-73
7.81
5-14
3-78
2-95
2.38
1-97
1.64
1.38
i^iS
.80
•50
.24
.00
36
56
oo
16.95
8.41
5-53
4.07
3.18
2-57
2.12
1-77
1.48
1.24
.86
•54
.26
.00
34
58
oo
18.29
9.08
5-97
4.40
3-43
2-77
2.29
1.91
1.60
1^34
.92
•58
.28
.00
32
60
oo
19. So
9.82
6.46
4.76
3-71
3.00
2-47
2.06
^•73
1^45
1. 00
0.63
0.31
0.00
30
62
00
21.50
10.67
7.02
5-17
4-03
3-26
2.69
2.24
1.88
1.58
1.09
.68
■2i
.00
28
64
oo
23-44
11.63
7-65
563
4.40
3-55
2-93
2.44
2.05
1.72
1. 19
•75
•36
.00
26
66
oo
25.67
12.74
8.38
6.17
4.82
3-89
3.21
2.68
2.25
1.88
1.30
.82
.40
.00
24
68
00
28.29
14.04
9-24
6.80
5-31
4-29
3-53
2-95
2.48
2.08
1-43
.90
•44
.00
22
70
oo
31.40
15-58
10.25
7-55
5-89
4.76
3-92
3-27
2-75
2.31
1-59
1. 00
0.48
0.00
20
72
oo
35-18
17-45
11.49
8.46
6.60
5-33
4.40
3-67
3.08
2.58
1.78
1. 12
1"^
.00
18
74
CO
39.86
19.78
13.01
9-58
7.48
6.04
4-98
4.16
3-49
2^93
2.01
1.27
.61
.00
16
76
00
45-84
22.75
14.97
11.02
8.60
6-95
5-73
4.78
4.01
3^37
2.32
1.46
•71
.00
14
78
OO
53-77
26.68
17-56
12.93
10.09
8.15
6.72
5-6i
4.70
3^95
2.72
1. 71
•83
.00
12
80
CO
64.82
32.16
21.17
15-58
12.16
9.82
8.10
6.76
5-67
4.76
3-27
2.06
1. 00
0.00
10
82
00
86.68
40.3s
26.56
19-55
15.26
12.32
10.16
8.48
7.12
5^97
4. II
2-59
1.25
.00
8
84
oo
—
53-96
35-51
26.14
20.40
16.48
13-59
11-34
9^51
7-98
5-49
3-46
1.68
.00
6
86
oo
—
8r.io
53-37
3929
30.67
24-77
20.42
17.04
14.30
12.00
8.26
5-21
2.52
.00
4
88
oo
—
—
78.68
61.41
49.60
40.90
34-13
28.64
24.03
16.53
10.42
5-oS
.00
2
90
oo
00
00
03
CO
00
00
00
00
00
00
00
00
00
ind.
//
90°
85°
80°
75°
70°
65°
60°
55°
50°
45°
40°
30°
20°
10°
0°
t
Page 320]
TABLE IX.
For converting
Arc into Time, and the reverse.
"
H.M.
"
H.M.
°
H.M.
"
H.M.
"
H.M.
°
H.M.
'
M.S.
M.S.
'
M.S.
M.S.
'
M.S.
'
M. S.
"
S.^
"
s.«s,
"
S.A
S.<\,
S. ^
"
S. '
I
4
61
4 4
121
8 4
181
12 4
241
16 4
301
20 4
2
8
62
4 8
122
8 8
182
12 8
242
16 8
302
20 8
3
12
63
4 12
123
8 12
183
12 12
243
16 12
303
20 12
4
16
64
4 16
124
8 16
184
12 16
244
16 16
304
20 16
5
20
65
4 20
125
8 20
1H5
12 20
245
16 20
305
20 20
6
24
66
4 24
126
8 24
186
12 24
246
16 24
306
20 24
7
28
67
4 28
127
8 28
187
12 28
247
16 28
307
20 28
8
32
68
4 32
128
832
1S8
12 32
248
16 32
308
20 32
9
36
69
4 36
129
8 36
189
12 36
249
16 36
309
20 36
lO
40
70
4 40
130
8 40
190
12 40
250
16 40
310
20 40
II
44
71
4 44
131
8 44
191
12 44
251
16 44
3"
20 44
12
48
72
4 48
132
8 48
192
12 48
252
16 48
312
20 48
13
52
73
4 52
133
8 52
193
12 52
253
16 52
3^3
20 52
14
56
74
4 56
134
8 56
194
12 56
254
16 56
314
20 56
15
I
75
5
135
9
195
13
255
17
315
21
i6
I 4
76
5 4
136
9 4
iq6
13 4
256
17 4
316
21 4
■ 17
I 8
77
5 8
137
9 8
197
13 8
257
17 8
317
21 8
iS
I 12
78
5 12
138
9 12
198
13 12
258
17 12
318
21 12
19
I 16
79
5 16
139
9 16
199
13 16
259
17 16
319
21 16
20
I 20
80
5 20
140
9 20
200
13 20
260
17 20
320
21 20
21
I 24
81
5 24
141
9 24
201
13 24
261
17 24
321
21 24
22
I 28
82
528
142
9 28
202
13 28
262
17 28
322
21 28
23
I 32
83
5 32
143
9 32
203
13 32
263
17 32
323
21 32
24
I 36
84
536
144
9 36
204
13 36
264
17 36
324
21 36
25
I 40
85
5 40
145
9 40
205
13 40
265
17 40
325
21 40
26
I 44
86
5 44
146
9 44
206
13 44
266
17 44
326
21 44
27
I 48
87
5 48
147
9 48
207
13 48
267
17 48
327
21 48
28
I 52
88
5 52
148
9 52
208
13 52
268
17 52
328
21 52
29
I 56
89
5 56
149
9 56
209
13 56
269
17 56
329
21 56
30
2
90
6
150
10
210
14
270
18
330
22
31
2 4
91
6 4
151
10 4
211
14 4
271
18 4
331
22 4
32
2 8
92
6 8
152
10 8
212
14 8
272
18 8
332
22 8
33
2 12
93
6 12
153
10 12
213
14 12
273
18 12
333
22 12
34
2 16
94
6 16
154
10 16
214
14 16
274
18 16
334
22 16
35
2 20
95
6 20
155
10 20
215
14 20
275
18 20
335
22 20
36
2 24
96
6 24
156
10 24
216
14 24
276
18 24
336
22 24
37
2 28
97
e 28
157
10 28
217
14 28
277
18 28
337
22 28
38
2 32
98
6 32
158
10 32
218
14 32
278
1832
338
22 32
39
2 36
99
6 36
159
10 36
219
14 36
279
18 36
339
22 36
40
2 40
100
6 40
160
10 40
220
14 40
280
18 40
340
22 40
41
2 44
lOI
6 44
161
10 44
221
14 44
281
18 44
341
22 44
42
2 48
102
6 48
162
10 48
222
14 48
282
18 48
342
22 48
43
2 52
103
6 52
163
10 52
223
14 52
283
18 52
343
22 52
44
2 56
104
6 56
164
10 56
224
14 56
284
18 56
344
22 56
45
3
105
7
165
II
225
15
285
19
345
23
46
3 4
106
7 4
166
II 4
226
15 4
286
19 4
346
23 4
47
3 8
107
7 8
167
II 8
227
IS 8
287
19 8
347
23 8
48
3 12
108
7 12
168
II 12
228
15 12
288
19 12
348
23 12
49
3 16
109
7 16
169
II 16
229
15 16
289
19 16
349
23 16
50
3 20
no
7 20
170
II 20
230
15 20
290
19 20
350
23 20
51
3 24
III
7 24
171
n 24
231
15 24
291
19 24
351
23 24
52
3 28
112
7 28
172
II 28
232
15 28
292
19 28
352
23 28
53
3 32
"3
7 32
173
II 32
233
15 32
293
19 32
353
23 32
54
3 36
114
736
174
II 36
234
1536
294
19 36
354
23 36
55
3 40
115
7 40
175
II 40
235
15 40
295
19 40
355
23 40
56
3 44
116
7 44
176
II 44
236
15 44
296
19 44
356
23 44
57
3 48
H7
7 48
177
II 48
237
15 48
297
19 48
357
23 48
58
3 52
118
7 52
178
II 52
238
15 52
298
19 52
358
23 52
59
3 56
119
7 56
179
II 56
239
15 56
299
19 56
359
23 56
60
4
120
8
1 8c
12
240
16
300
20
360
24
Note.— ■^Tien turning seconds of arc into time, and vice versa, it should be remembered that the fractions are sixtieths; thus, the
value in time of 42" is not 2.48 seconds, but 2-JI seconds=2'.8.
o
A^'
. \ UNIVERSITY OF CALIFORNIA LIBRARY
\ BERKELEY
Return to desk from which borrowed.
This book is DUE on the last date stamped below.
LD 21-100m-ll,'49(B7146sl6)476
YD 267 \5
380074 ^^u
f '
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