DEG 
mean latitudes and longitudes, From a careful pa 
of thefe with the altronomical pofitions obtained by oth 
means, we may exp.€t to derive a more accurate knowle - 
of the irregularities i in the fixure of the earth. 
There are many individuals in this country, who poffe 
anfkra ments capable of making geodetical obfervations fufii- 
of the knowa objects already determined, might 
- ertain the pofition of any other ftation, and pe ate tri- 
gonometrically its d:ance from the meridian, a erpen- 
i ; he fhould then determine che fade 
t deduced from com- 
to the rules already explained. It w 
to facilitate obfervations of this kind, and to induce the 
poffeffors of fuch inftrumentrs to e: aloe them, that we have 
allotted fo large a {pace to this fu’ va 
The formule we have made ufe of in the foregoing exam- 
pies were intended only for obferved eerie but they may 
R EEL 
be applicd without fenfible error to a triangle of very con- 
fiderabie extent; but ftill it fhould be remembered, that 
the f{uppofitions upon which they are founded are not 
itrictly true, for the fides of thefe triangles are lines connedt- 
nature, have no fenfible influence os any oractical rule, we 
fhall therefore not enter into them any { farther at prefent, but 
refer them to Ficure of the Earth, to which article they 
more properly belong. 
It ig of great importa nce, in a trigonometrical furvey, to 
know the relative heights of the lation above the level of 
the fe.: for this purpoie it is neceflary to obferve the apparent 
depreffion of-one ftatton as feen frum the other. For the 
ethod of makin.z this saa and appiying the requiiite 
corrections, fe Depres 
ee ne 
A Tasce to convert Sexagefimal into Decimal Degrees. 
x 
1) £ 11 €£.11 131] 34 44 44.44 [6il] 67 77 77.98 
2} 3 22 22.22 1132) 35 55 55.56 |6:1| 68 88 88.89 
3| 3 33 33-33 133} 36 06 66.67 [63] 70 co 00.00 
4] 4 44 44-44 1341 37 77 77-78 | O4i 7E UL Ut.tr 
5} 5 55 55-50 1135] 38 88 88.89 [55] 72 22 22.22 
6} 6 06 66.67 1135} 40 02 00.00 | 646i 73 33 33-33 
“| 7 277 77-78 37) 40 rn rr.tr [67] 74 44 44-44 
8} 8 85 88.39 |/38| 42 22 22.22 [68h 75 55 55.56 
G} 19 00 00 00 |1391 43 33 33-33 |69,| 76 06 66.67 
tO] LE TY ILEY 40) 44 44 44.44 | 7011 77 77 77-78 
(I] 12 22 22.22 fits] 45 55°55.56 | 711 78 88 88.89 
12} 13 33 33-34 [142] 46 66 66.67 | 72} 80 00 00.00 
13] I4 44 44-45 143) 47 77 77-78 | 73) 81 rr Ii. 
I41 15 55 55-56 |144) 45 88 883.89 | 741] 82 22 22.22 
15} 16 66 66.67 |/.45| 50 09 co.00 1 75'| 83 33 33-33 
6) 17 77 77-78 |/40) $1 rr 11.11 | 76] 84 44 44-44 
17{ 15 88 88.89 1/47] 52 22 22.22 17711 85 55 55-56 
18} 20 00 00.00 |/48] 53 33 33.33 |78|| 86 66 66.67 
Ty) 21 EX 17.10 1140] 54 44 44-44 | 79] 87 77 77-78 
20| 22 22 22.22 [150] 55 55 55.50 | 804 88 88 8889 
Jar] 23.33 33-33 |154| 36 66 66.67 |8:1| go 00 90.00 
|221 24 44 44-44 [1521.57 77 77-78 |82]] or Ir Ii.tt 
231 25 55 55.56 1153] 58 88 88.89 |83]| g2 22 22.22 
24| 26 66 66.68 |/54| 60 00 00.00 184!1 93 33 33-33 
25} 27 77 77-79 |155| Of Tr ILI | 85)| 94 44 44.44 
26| 28 88 88.89 || 56} 62 22 22.22 |86]| 95 55 55.56 
27| 30 00 00.00 1157} 63 33 33-33 |87]] 96 66 66.67 
28] 31 Tr re.r1 i538] 64 44 ad.g4 [8S OF 77 77.78 
29| 32 22 22.22 |isg}] 65 55 55.56 | gi} 98 88 38.89 
30] 33 33 33 33 || 50] 66 66 66.67 | gcjl109 0O 00.00 
4 “ at 
t° | 0.018518 1 | 0.000308 
2 | 0.037037 2 | 0.000617 
3 | 0-355550 | 3 | 0.000925 
4 | 0.074074 4 | 0.001234 
5 0.092592 5 0.001543 
6 | oO.1ILItt 6 | 0.001851 
7 | 0.129629 7 | 0.002159 1 
§ | 0.148148 8 | 0.002468 
Q | 0.166666 Q | 0.002777 
Vou. XI. 
Tapes for the redu€tion of Angles obferved with the 
repeating Circle. 
Tasre I. 
ReduStion of the Angles to the Horizon. 
Sum and Difference of the 
ca a (H+5)and( 2) Airede of the Signals. 
5000. fin, ver. (H+4.) 
S|: 
off | rot [ 2° PM. | ofF Fr ot | aot 
I} 0.000 } 0.787 | 3.097 11 31 | 0.203 | 1.751 | 4.822} 
2{ 0.001 | 0.813 | 3.148 || 32 | 0.217 | 1.790 | 4.83 
3| 0.002 4 0.839 | 3.200 |] 33 | 0.230 | 1.829 | 4.951 
4| 0.003 | 0.866 | 3.252 |] 34] 0.244 | 1.869 | 5.01¢ 
5 | 0.005 | 0.893 305 135] 0.259 | 1-GoQ | 5-081 
6 | 0.007 | 0.921 | 3.358 |] 35) 0.27 1.949 | 5-147] 
4} 0.010 | 0.949 | 3-411 |] 37 | 0.289 | 1.990 | 5.213 
8] 0.013 | 0.978 | 3.465 1 33 | 0.305 | 2.031 | 5.280) 
g| 0.017 | 1.007 | 3-520 |] 39 | 0.321 | 2.073 | 5.347 
10 | 0.021 | 1.036 | 3.575 |] 40] 0.338 | 2.115 | 5.434 
11 | 0.026 | 1.066 | 3.630 |} 41 | 0.355 | 2.158 | 5-482 
12 | 0.030 | 1.096 | 3.635 |] 42 | 0 372 | 2.201 | 5.550 
13 | 0.036 | 1.127 | 3.741 {1 43] 0.391 | 2.244 | 5.019 
14| 0.041 | 1.158 | 3.798 | 44] 0.409 | 2.288 | 5.685 
15} 0.047 | 1.199 | 3.855 i] 45 | 0.428 | 2.332 | 5-758 
16| 4.054 | 1.222 | 3.912 | 46] 0.447 | 2.376 | 5.828 
17] 0.061 | 1.254 | 3.970 1 47 | 0.467 | 2.421 | 5-899 
18] 0.068 | 1.287 | 4.028 | 48 | 0.487 ; 2.467 | 5-970 
19] 0.076 | 1.320 | 4.086 I] 49 | 0.508 | 2.513 | 6.041 
20| 0.031 | 1.354 | 4.145 || 50 | 0.529 | 2-559 | O.112 
21] 0.093 | 1.388 | 4.205 | 51 | 0-550 | 2.606 | 6.184 
22] O.f02 | 1.422 } 4.265 |] 52 | 0.572 [2.053 | 6.257 
23| 0.112 | 1.457 | 4 325 153] 0.594 | 2.701 | 6.330 
j24| 0.122 | 1.492 | 4.386 | 54 | 0.617 | 2.749 | 0.403 
25| 0.532 | 1.528 | 4.447 | 55.| 0-640 ] 2.797 | O:477 
26} 0.143 | 1.564 | 4.508 || 56} 0.663 | 2.846 | 6.551 
ral er ae 4.570 | 57 | 0-687 | 2.895 | 6.626 
28] 0.166 | 1.638 | 4.633 || 5S | 0.711 | 2.945 | 6.704 
29} 0.178 | 1.675 | 4-695 || 59 | 736 | 2-995 | 0-776 
30| 0.190 | 3.713 | 4.758 || 60 4 3.046 | 6.852 
Xx TABLE 
