Gen. Roy’s Account of a propofed trigonometrical Operation. 
2 lS 
Table of the degrees of the Earth mOraM « > 1 “ •of"** « *""**«* ” h“ T,“" of^helalutd “ f ** *"• "* “ *• «**" **” ™» of the 4 th power, or ^ 
Latitudes. 
Paris 
5 
10 
1 5 
20 
25 
30 
35 
40 
41 
42 
43 
44 
45 
46 
47 
48 
48 
49 
5° 
50 
50 
5° 
5° 
5° 
.5° 
5° 
5° 4° 
5° 
5050 
5° 
5> 
5' 5 
51 10 
5 o 
45 
5' 
5> 
S' 
Greenwich 51 
5 1 
5' 
5' 
5145 
5 r 5° 
53 
54 
55 
5 ( > 
S' 
58 
Equal to deg. , 
f lo ig. ou ' 58 
lie equator. J 
59 
bo 
42 
6 S 
7° 
75 
80 
*5 
9° 
40 
*4 
Lengths of degrees 
of the meridian in 
fathoms. 
[60484.50 
I60484.56 
60485.43 
60489.08 
,60498.49 
60517.1 1 
I60548.38 
| 6°595- i 3 
I60658.99 
60673.85 
60689.4O 
60705 62 
60722.50 
6O74O.O2 
60758.17 
60776.92 
60796.24 
60812.83 
60816.10 
60836.47 
60838.19 
60839.92 
60841.64 
60843.37 
60845.1 1 
60846.84 
60848.58 
60850.32 
60852.07 
60853.82 
60855.57 
60857.32 
60859.O8 
60860 84 
60862.61 
60864.37 
60866. 14 
60867.44 
60867.92 
60869.69 
60871.47 
60873.25 
60875.O4 
60876.82 
60878.61 
47-4 
o 
60900.30 
60922.35 
60944.70 
60967.33 
60990.1b 
&1013.16 
61029.62 
61036.27 
61059.43 
61174.10 
61203.75 
61281.46 
61374.25 
61445.89 
61491.13 
'61506.60 
Diff. 
0.06 
0.87 
3 - 65 
9.41 
18.62 
3 >* 2 7 
46.75 
63.86 
14.86 
15 55 
16.22 
16.88 
17.52 
18.15 
18.75 
19.32 
16.59 
3'37 
20.37 
1.72 
1.73 
1.72 
•■73 
1-74 
i-73 
1.74 
1.74 
i-75 
1-75 
i-75 
i-75 
1.76 
1.76 
1 -77 
1.76 
1 77 
1 20 
0.48 
1.77 
1.78 
4 - 78 
’■79 
1.78 
1 -79 
21.69 
22.05 
22.35 
22.63 
22.83 
23.00 
16.46 
6.65 
23.16 
1 14.67 
29.65 
77-71 
92.79 
71.64 
45.24 
‘5-47 
Incre- 
ments 
above the 
deg. at tlie 
equator. 
0.00 
0.06 
0.93 
4-58 
13-99 
32.61 
63. 88 
1 10.63 
174.49 
Diff. between 
:leg. of tlie mer. 
and deg. of great 
circles jperp. to 
the mer. or fum 
of die three 
equations. 
189.35 
204.90 
22 J.I 2 
238.OO 
255-52 
273.67 
292.42 
3”-74 
328.33 
33L60 
351.97 
353.69 
355-4* 
357-H 
358.87 
360.61 
362.34 
264.08 
365.82 
367-57 
369.32 
37i°7 
372.82 
374-58 
376.34 
378.11 
379-87 
381.64 
382.94 
383-42 
3«5-'9 
386.97 
388.75 
39°-54 
392 32 
394.11 
415.80 
437.85 
460.20 
482.83 
505.66 
528.66 
545 - 1 * 
552-77 
574-93 
68960 
719.25 
796.96 
889.75 
961.39 
1006.63 
545- '* 
547.01 
55 ‘-J 7 
559 64 
566.51 
568.54 
56315 
547-54 
519.87 
512-74 
505.14 
497.02 
488.4O 
479.28 
469.64 
459-55 
449.00 
439-77 
437-93 
426.52 
425-56 
4 * 4-57 
4 * 3-59 
422.64 
421.66 
420.67 
419.68 
418.68 
417.72 
416.71 
415-70 
414.70 
413.68 
412.69 
411.70 
410.68 
409.66 
408.90 
408.63 
407.61 
406.57 
405.59 
404-54 
403 51 
402.48 
389.88 
376.96 
363-75 
350.26 
336-53 
322.60 
3'2-59 
308.51 
294.29 
Degrees of great 
circles perpendicu- 
lar to the meridian. 
61029.62 
61031.57 
61037.20 
61048.72 
61065.00 
61085.65 
61111.53 
61 142.67 
61 178.86 
6n86, 59 
61194.54 
61202.64 
61210.90 
61219.30 
61227.81 
61236.47 , 
61245.24 < 
61252.60 / 
61254.03 
6 1262 99 
61263.75 
61264.49 
61272.02 1 
61272.76 s 
6 f*75-53 1 
61274.31 i 
61275.05 
61275.80 
6 1 276.34 
61276 55 
61277.30 
61278.04 
61278.84 
61279.58 
61280.33 
61281.09 
222.60 
*°3-75 
153-70 
92.71 
45 * 3 ® 
12.47 
0.00 
61290.18 
61299.31 
61308.45 ( 
61317-59 { 
61326.69 t 
* i 
} 
61335-76 
61342.21 
61344.78 
61353-72 
} 
} 
61396.70 j 
61407.50 ^ 
61435.16 , 
61466.96 f 
61491.27 ( 
61503.60 { 
61506.60 ‘ 
Degrees of great circles oblique to the meridian, the differences between the meridional degrees, and thofe of great circlet 
perpendicular to them, being in the ratio of the fquares of the fines of obliquity. 
} 
uuuif.ify -> 
61265.23 { 
61266.01 f 
61266.77 
61267.51 
61268.26 
61269.00 
61269.79 
61270.53 
61271.27 
} 
I 
Diff. 
i-95 
5- 63 
11.52 
16.28 
20.65 
25.78 
3i-i4 
36.19 
7-73 
7-95 
8.10 
8.26 
8.40 
8.51 
8.66 
8.77 
7-36 
1- 43 
8.96 
0.76 
0.74 
0.74 
0.78 
0.76 
0.74 
0-75 
0.74 
o.79 
0.74 
0.74 
0.75 
o-74 
0.7 
o 
0.74 
0.75 
o-54 
0.21 
o-75 
0.74 
0.80 
0.74 
°-75 
0.76 
9.09 
9 '3 
9.14 
9.14 
9.10 
9-°7 
6- 45 
2- 57 
8.94 
42.98 
10 80 
27.89 
31.80 
*4 - 3 1 
12 33 
3- oo 
>-77 
1.78 
Diff. 
20.75 
20.82 
21.00 
21.30 
21.56 
2 1. 1 
21-43 
20.84 
I 9-7 8 
64 6 
18.92 
18.59 
7 points 
=78 }• 
61008.87 
61010.75 
61016.20 
61027.42 
61043.44 
' 1064.01 
61090.10 
61 121.83 
61 159.0S 
19.51 61167.08 
19.23 61175.31 
61 183.72 
61 192.31 
18.24 61201.06 
17.8b 161209.95 
17 49 '61218.98 
17.09 '61228. 15 
16.74 61235.8b 
61237.36 
61246.76 
Diff. 
59.08 
59-29 
59-8° 
60.66 
61.40 
61.62 
61.04 
59-35 
5 6 -35 
60949.79 
6095 1.46 
60956 40 
60966.76 
60982.04 
61002.39 
61029.06 
61062.48 
61 102.73 
16.67 
16.23 
16.20 
16.16 
16.12 
16.09 
16.05 
16.01 
! 5-97 
15-93 
61247.55 
61248.33 
61249.1 1 
61249.92 
61250.72 
61251.50 
61252.29 
61253.07 
15.90 6x253 89 
15.86 
15.82 
61254.67 
61255.45 
15.78 61256.24 
! 5-74 
15.71 
15.67 
61257.02 
61257.82 
61258.64 
15.63 61259.42 
15-59 
J 5 - 5 6 
!5-55 
15-51 
• 5-47 
' 5-44 
15.40 
6x260.21 
61260.78 
61261.00 
61261.79 
61262.57 
61263.40 
61264.18 
15.36 61264.97 
15-3* 
61265.77 
14.84 6 
14-35 
13.84 
J 3-33 
12.81 
12.28 
11. 
11.20 
*■47 
7-75 6 
us. 
i-73 
0.47 
0.00 
1*75-34 
61284.96 
61294 61 
61304.26 
61313.88 
61323.48 
11 90 61330.31 
74 6 
I333-04 
61342.52 
61388.23 
1 399-75 
61429.31 
61463.43 
61489.54 
61503.12 
61506.60 
55-58 
54-75 
53- s 7 
5*-93 
5 1 -95 
5O qO 
49 81 
48.66 
47-66 
47-46 6 
46.23 
46.12 
46.02 
45-9i 
45.80 
45-7° 
45.60 
45-49 
45 38 
45.27 
45-17 
45.06 
44-95 
6 points 
=67 i. 
Diff. 
61 1 1 1.50 
bi 120.5b 
61 129.85 
61139.38 
61 149.11 
61159.05 
61 169.17 
61179 49 
61 188.20 
1 189.90 
61200.53 
;6i20i.43 
61202.31 
61203 20 
61204.12 
61205 02 
61205.90 
61206.80 
61207.69 
61208.62 
61209.50 
61210.39 
61211.29 
44.84 6 
44-73 
44.62 
44.51 
44.40 
44-32 
44.29 
44.18 
44.07 
43-95 
43.84 6 
43-73 
43.62 
42.26 
40.86 
39-43 
37-96 
36-47 
34-9 6 
33-88 
33-44 
31.90 
13 6 
24.1 
22.09 
16.66 
10.05 
4.92 
36 6 
1 
0.00 
11212.18 
61213.09 
61214 02 
61214 91 
61215.81 
61216.46 
61216.71 
61217.61 
61218.50 
61219.45 
61220.34 
61221.24 
61222.15 
88.43 
88,73 
89.51 
9° 87 
91.90 
92.24 
9 1 -35 
88. 81 
s 4-33 
60S61.36 !l04-20 60757.16 104.40 
60862.73 104.66 60758.07 '104.67 
60866.89 105.57 
60875.89 107.63 
60890 14 108.39 
60910.15 108.77 
60937.71 107.75 
60973.67 104.77 
61018.40 99.48 
83.17 
81,94 
So. 61 
79-*3 
77-74 
76.18 
.74-55 
72.84 
71-34 
71.04 
69 19 
66.03 
68.87 
68.71 
68 56 
68.40 
68.23 6 
68.08 ' 
6,. 92 
67 76 
67-59 
67-43 
67.27 
5 points 
=56-4. 
Diff. 
4 po "? Diff. 
— 45 
3 points 
= 33°i- 
61628.33 
61038.62 
61049.24 
61060.1 j 
61071 37 1 
61082.87 j 
61094 62 
61 106.65 
61 1 16.86 
61 1 18 86 
61131-34! 
98.1 1 
96.65 
95-n 
93-45 
9171 
89-87 
87-93 
85.91 
84.15 
83.80 
81.61 
61132 40 
61133.44 
61134.49 
61135.5b 
61 136.62 
61137.67 
61138.72 
61139.77 
61140.8b 
61 141.91 
61 142.96 
61 144.02 
60652.76 
, -t 60653.40 
60761.32 IO5.58 60655.74 
60768.26 IO6.44 60661.82 
60781.75 ! io8. 40 60673.35 
60801.38 108.79 60692.59 
60829.96 107.76 60722.20 
60S68. 90 104.77 '0764.13 
60918.92) 9947 60819.45 
[ 60832.11 
> 60S45.32 
> 60859.03 
; 60873.25 
60887.95 
> 60903.14 
! 60918.76 
60934.83 
■ 60948.57 
60951.27 
60968.12 
60930 22 
60941.97 
60954.13 
60966.70 
60979 66 
60993.00 
61006.69 
61020.74 
61032.71 
61035.06 
61049.73 
Diff. 
Degrees of longitude. 
8S.43 60564.33 
88.73j60564.67 
89.51 60566.23 
90.78 ,60571.04 
91.90 ,60581.45 
92.22 60600.37 
60630.85 
60675.32 
60735.12 
67.11 61145,07 
66 94 61146 if 
61147 *3 
61148.29 
61 149-36 
61150.13 
61150 41 
61 1 51.40 
6 II 52-55 
06.79 
66.62 
66.4. 
66.33 
66.29 
66.12 
65 95 
65.80 61153 65 
65.62 
65.29 
61233.08 
61244.10 
61255.18 
61266.30 
61277.41 
61288.32 
61296.43 
61299.60 
61310.62 
63.24 6 
61 
14 6 
59.00 
56.82 6 
54-59 6 
5*-33 6 
6115472 
65.46 61155.78 
61 156.86 
1 16984 
1182.96 
61196.18 
1209-48 
1222.8a 
11236.19 
50.70 61245.73 
50.05 61249.55 
47.74 161262.88 
1364.10 
61377.66 
61412.65 
6i453.3 8 
61484.62 
1501.77 
61506.60 
36.11 61327.99 
33-°5 61344.61 
24.93 61387.72 
13-04,61438.34 
7 36,61477.26 
2.02 '61499 75 
0.00 [61506.60 
81 43 61050.97 
81.23 61052, 21 
81 00 61053.43 ' 
80.87 61054 69 
80.68 61055 04 
80.50 ,61057 17 
So 30 [61058.42 
80.1 1 6105 .66 
79-93 
79-74 
79 54 
79-35 
79-15 
78 96 
78.77 
78 5» 
78-39 
78 24 
78.18 
78.00 
77.79 6 
77-60 6 
77-4i 
77.21 
77-or 
74.60 
72.13 
69.60 6 
67.02 
64.39 
61.73 
59-82 
59-03 
56.31 
61060.93 
6106217 
61063.42 
61064.67 
81.43 
81.24 
81.05 
80.87 
80.68 
80.49 
80 20 
80.1 1 
79-93 
60969.54 
60970.97 
60972.38 
60973.82 
60975.26 
6' 976.68 
60978.12 
60979-55 
60981.00 
79.73 60982.44 
60983.88 
60985.32 
79-54 
79-35 
61065.92 
61067.19 
61068.4b 
61069.71 
61070.97 
61071-89 
61072-24 
61073.49 
1074.76 
1076.05 
61077.31 
61078.57 
61079.85 
61095.24 
61 1 10.83 
1126.58 
6 1 142.46 
61158.43 
61 174.4b 
61 185-91 
61 190.52 
61206.57 
42-59 61285.40 
38.98 61305.63 
29.41 61358.31 
17.74 61420.60 
8.68 ',61468. 58 
2.38 61497.37 
0.00 |6i 506.60 
79-15 
78-97 
7878 
78.58 
78-39 
78 24 
78.19 
77-99 
77.80 
77.61 
77-4i 
77.20 
77.01 
60986.77 
60988.22 
60989.68 
60991.13 
60992.58 
60992.65 
60994.05 
60995.50 
60990.96 
60998.44 
60999.90 
61001.37 
6x002.84 
74.60 6 
72-13 
69.61 
67.02 
64.40 
61.73 6 
59.81 
59 °3 6 
56.30 
9 i -35 
88.81 
8 4-3 3 
83-17 
81.94 
80.62 
79-*3 
77-74 
76.19 
74-54 
72 84 
71-34 
71.04 
69.19 
69.02 
68.87 
68.71 
68.56 
68.40 
68.23 
68.08 
67.92 
67.76 
67.59 
^ 7-43 
67.27 
60748.94 
60763.28 
60778.41 
60794.02 
60810.21 
60826.95 
60844.22 
60861 99 
60877.23 
60880.23 
60898.93 
60900 51 
60902.10 
60903.67 
60905.26 
60906.86 
90908.45 
60910.04 
6091 1.63 
60913.24 
60914.85 
60916.45 
60918.05 
67.1 1 
66.94 
66.78 
66.62 
66 4S 
66.29 
66. i2 
^5-95 
65.80 
65.62 
65.46 
65.29 
Latitudes, 
60919.66 
60921.28 
60922.90 
60924.51 
60926.13 
60927-32 
60927.76 
60929- 38 
60931.01 
60932.64 
60934.28 
60935.91 
60937.55 
1020.64 
61038.70 
61056.97 
61075.44 
61094.03 
‘UI 2.73 
61126.10 
II 31-49 
61150.27 
42.59 61242.81 
38.99 61266.64 
29.41 61328.90 
17.73 61402.87 
8 68 61459.90 
2.39 61494.98 
o 00 ,61506.60 
63.24 
61.15 
59.00 
56 82 
54-59 
52.33 
50.70 
50.04 
47.74 6 
36.11 
7 - 3 6 
2*02 
60957.40 
60977.55 
60997.97 
61018.62 
61039.44 
61060.40 
61075.40 
61081.45 
HO2.53 
61206.70 
33.05 61233.39 
24.93 61303.97 
15.04 61387.83 
61452.54 
61492.96 
0.00 161506.60 
30034.22 1 
38765.72 < 
38697.15 ( go’g' 
SB 
*221 1 68. f 
44-*4 60874.82 38490.90 { 
44-62 60878.28 38353.03 \ , 
44.5r60880.oo 38283.97 { ,9- 
44.40 60881.73 38214.82 \ 9-15 
44.32 60883.00 38161.69 { ■’?' 3 
44-29 60883.47 38145-57 ( ll’Vt 
44 * l8 60885.20 38076.24 { ,9*33 
44.07 60886.94 38006.83 | ,9*4* 
43.95 60888.69 37937.34 1 6 ^'f9 
43-84 60890.44 37867.77 | 9-S7 
43-73 60892.18 37798.12 j > 5 
43.62 60893.93 37728.4O J 
l 843.O5 
42.26 60915.14 36885.35 J g 
40.85 60936.70 36030.83 { 54-S- 
2n.A7 fioncR.e. 35165.08 ( g 
33 88 61041.52 31856.42 | a6i>ja 
33.4461048.OI 31594.90 1 _,0.. 
31.90 61070.63 30676.86 t 9'°.°4 
— } 47 * 9-49 
24.1361182.57 * 5947-37 ‘ I297 4 g 
22.09 61211.5c 24649.89 J 2637.83 
16.62 61287.3c 21012.06 \ 
9-55 61377-78 15908.82 | - 5 '°|^ 4 
4 92 61447.62 10677.85 9 S 33 97 
^ 3 oo!oo f S36040 
1 
// 
c 
O 
- 
1 K 
- 
1 
| 2 C 
- 
2< 
~ 
3 C 
- 
35 
- 
4 C 
- 
4 ' 
- 
_ 
42 
- 
- 
4: 
— 
- 
44 
- 
45 
- 
46 
- 
47 
- 
- 
48 
_ 
Paris 48 
5 c 
14 
49 
— 
50 

- 
5 ° 
5 
_ 
5 ° 
IO 
- 
50 
'5 
- 
50 
20 
— 
5 ° 
*5 
- 
5° 
3 ° 
- 
5 ° 
35 
50 
40 
- 
S °45 
- 
5 ° 5 ° 
50 
55 
— 
5 ' 
c 
O 
51 
5 
_ 
5 1 
IO 
— 
51 
15 
- 
5 ‘ 
20 
_ 
Si 
25 

Greenwich 5 1 
28 
40 
5 * 
30 
5 ' 
35 
- 
5 ' 
40 
- 
5 ‘ 
45 
- 
51 
5 ° 
- 
5 i 
55 
- 
52 
O 
O 
53 
_ 
_ 
54 1 
- 
- 
55 
- 
- 
56 
- 
- 
57 
- 
- 
1 58 
Eiualtodeg. . 
of long, on [ rg 
the equator. J 
- 
- 
i -2 
i 7.4 
59 
- 
60 
65 
I 665 
O 
70 
75 
80 
*5 
90 
1 i 
Vol. LXXV1I. 
