Majoi -General Roy s Account of the Meafuremsnt of a Bafe on Hoimflow-Heatb, 
° P honfe the Reduftion of the H t f f g Us of the Stat,ons above the fouth-eaft extremity near Hampton 
Pooi-home, the Reduction or the Hypothenufes, and the Correftion for the Temperature of the Glafs Rods • 
whence the true length is obtained m the heat of 62° - F oas ’ 
Se&ions. 
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Oh 00 vJ 
Relative heights. 
Redudion 
of the hypo- 
thenufes. 
Number 
of rods, 
twenty 
feet each. 
— * P -t- 1 
4 h c k 
0 q di 
AC f 
Aicent. T)e/fcdn+. 
Total afeent. 
pC — H (J 
+ ^ O 
As sO 
Hypoth. 
Sedions. 
Feet. 
Feet. 
feet. 
Feet. 
Feet. 
Feet. 
I 
0.07 
1.855 
— — 
0.07 
0.0000 1 2 
29 + 
.925521 
2 
I -855 
! - 9 2 5 
0.002875 
3 ° 
3 
i—'*> 
0.07 
0.002875 
3 ° 
4 
2-745 
2.815 
0.006288 
3 ° 
5 
2.92 
5-735 
0 007114 
3 ° 
y b 
0.70 
"™ — 
6.495 
. 0.000489 
3 ° 
7 
J -57 
8.065 
*0.000825 
3 ° 
; : 8 
2.91 
1 0.975 
0.007065 
3 ° 
9 
0.68 
10.295 
0.000393 
2P 
to 
0.65 
~~ s ~~ 
10.945 
0.000360 
3 ° 
1 1 
— — . 
0.04 
10.905 
0.000009 
30 ! 
12 
1. id 
9-725 
0.001 168 
3 ° 
) 1 3 > 
0.83 
■ 
IO -555 
IO - 5 S 5 
0.000581 
3 ° 
14 
— - 
0.94 
9.615 
0.000745 
30 
i 5 
0.42 
— 
10.035 
0.00019 1 
3 ° 
16 
— — 
1.63 
8.405, 
0.002222 
3 ° 
i -7 
0.28 
— — 
8.685 
0 000073 
3 ° 
18 
4 16 
— — 
12.845. 
0.014439 
3 ° 
*9 
— — - 
0.44 
12.405 
0.000169 
3 ° 
)> 2.0: 
0..19 
— - 
1 2 - 595 . 
0 000036 
30 
21 
1.87 
— — 
1-4465* 
0.002922 
30 
22 
0.73 
— . _ 
r 5 - r 95 
0.000452 
30 
23 
°- 3-9 
- - 
i S 5 8 5 
0.0001 35 
3 ° 
24 
°-95 
— — 
16^535 
0.000760 
3 ° 
25 
0.49 
— - 
17.025 
0-000208 
3 ° 
26 
2. 1 1 
— • — 
8 - 5-8 
*0.000063 
3.0 
27 
_ — 
0.71 
18.425 
*0.000214 
3 ° 
28 
0.245 
— - 
18.67 
0.000057 
30 
29 
1.2 I 
— — 
19.88 
0.001228 
3 ° 
3° 
— — 
0.165 
! 9-7 3 5 
0.000028 
3 ° 
3 1 
O.14 
— — 
i 9- 8 55 
0.000024 
3 ° 
3 2 
— - 
0.12 
^9 735 
0 000019 
30 
33 
— — 
0.14 
J 9-595 
0.000024 
3 ° 
34 
1.2 I 
— — 
20.805 
0.001228 
3 ° 
3 ? 
1+05 
— — 
22.21 
0.001653 
30 
36 
2.34 
- - 
24-55 
0.004571 
3 ° 
\ 37 
1.085 
23 - 4 6 5 
0.000985 
3 ° 
3.8 
0-47 
_ _ 
23-935 
0.000192 
30 
■ : 39 
O.525 
_ _ 
24.46 
0.000238 
3 ° 
40 
I.265; 
- - 
25-725 
0,001341 
3 ° 
4 1 
l.l8 
_ _ 
26,905 
O.OQl l68 
3 ° 
42 
_ — 
0.19 
26.715 
O.OOOO36 
3 ° 
43 
i- 5 6 5 
_ _ 
28.28 
O.OO2O49 
QO 
1 
44 
1.485 
— — 
29.765 
0,001845 
3 ° 
45 
0.24 
_ _ 
3 P • 00 5 
O.OOOO55 
30 
; j 46 
J 400 ft. 
1.26 
3 1 *265 
12.130 
0,001973 
20 
40,44 
9 ' 1 7 5 
31.265. 
3 I -265 
0,071401 
1369 + 
.925521 
9 
10 
Temperature. 
Qbferved 
Excefs 
mean of 
or defed 
60 therm. 
from 62°. 
0 
O 
7 i 4 
+ 9-4 
80. 7 
+ 18.7 
80.6 
+ 18.6 
74.0 
+ 12.0 
62 6 
+ 0.6 
58.7 
- 3-3 
60.5 
- 1 .-5 
6 3-3 
+ x -3 
64.1 
+ 2.1 
66.6 
+ 4.6 
70.4 
+ 8.4 
69 9 
+ 7-9 
62.7 
+ 0.7 
60.7 
- i -3 
63,2 
+ 1.2 
69.0 
+ 7 -o 
71.1 
+ 9.1 
68.6 
+ 6.6 
6 3-5 
+ x -5 
59-2 
- 2.8 
56-2 
- 5-8 
57 -° 
- 50 
64.1 
+ 2.1 
64.3 
+ 23 
62.5 
+ o *5 
7 1 • 1 
5 - 9.1 
7°-5 
+ 8.5 
6 3-3 
+ x -3 
59-2 
- 2.8 
66.2 
+ 4-2 
73 - 8 
+ 1 1.8 
77.6 
+ 15.6 
73 7 
+ 1 1.7 
68 8 
+ 6.8 
65.8 
+ 3 * 8 
65-5 
+ 3-5 
615 
_ 05 
59-4 
— 2.6 
55 6 
- 6.4 
55 - 1 
- 6.9 
5 . 6 -i 
- 5-9 
5. 8 -4 
- 3 - 6 
58.2 
- 3.8 
57-3 
- 4 7 
60.8 
— 1.2 
65-3 
+ 3-3 
1 1 
12 
x 3 
Corredion for temperature. 
Expan Con- 
above 62° 
+ appr.leng. 
Contrad. 
below 62° 
— appt, leng. 
Difference. 
Inches. 
+ 0.2909 
+ 0.5801 
+ 0.5770 
+ 0.3722 
+ 0,0 186 
+ 0.0403 
+ 0.065.1 
+ 0. 1427 
+ 0.2606 
+ 0.2451 
+ 0.0217 
+ 0.0372 
+ 0.2171 
+ 0.2823 
+ 0.2047 
+ 0.0465 
+ 0.065 1 
+ 0.0713 
+ 0.0155 
+ 0.2823 
+ 0.26 
+ 0.0403 
n *7 
O/ 
+ 0.1303 
+ 0.3660 
+ 0.4839 
+ o 3629 
+ 0.2109 
+ 0.1 179 
Inches. 
inches. 
‘0,1024 
■ 0.0465 
0.0403 
■0.0869 
■ 0.1799 
0.1551 
— 0.0869 
+ 0.0682 
+ 5.9890 
■0-0155 
■ 0.0807 
■0.1985 
•0.2140 
■0.1830 
• 0.1117 
•0.1 179 
-0.1458 
■0.0372 
1.8023 
14 
Corred length 
of the bafe. 
Feet. 
+ 4.1867 
Bypothenufal length of the bafe containing 1369.925521 glafs rods of twenty feet each +4.31 feet, - — 
Reduction contained in the feventh column to be fubtraded, - - - _ 
Total apparent length of the bafe reduced to the level of the fouth-eaft extremity, - 
Add to the apparent length the difference between the expanflon of glafs above, and the contraction of it below 62°, 1 
contained in the thirteenth column =14. 1867 inches =r - - - - - - . ” j + 
Add further to the apparent length the equation for 6 J difference of temperature of the liandard brafs fcaie between 62° and [ 
684 the heat in which the glafs rods were laid off— 20.3352 indies, = » ** - - j + 
Correct length of the bafe in the temperature of 62°, reduced to the level of the lowermoft extremity, - — 
Redudion for the height of the lower end of the bafe above the mean level of the fea, fuppofedto be 54 feet or 9 fathoms = - 
I True length of the bak 
Vot. LXXV. 
reduced to the mean level of the fea. 
27402.8204 
0.0714 
27402,7490 
o. 2 
0489 
1.6946 
27404.7925 
0.0706 
27404.72.19 
R 
r r 
Table 
