CHAPTERLXXIII.USE AND PRACTICE OF THE SECOND TABLE IN THE FIRST EXAMPLE.Theuse.Section 369.TO find the Heights, in Feet and Tenths, in the Atmosphere, corresponding to the Points at whichthe Quicksilver stands in both Barometers, which havenowthesame Temperature, viz. that of thewarmerBarometer, on a Supposition that they were both exposed to the Standard-Temperature of 31°.24, on Farenheit’s Scale.Thepractice.The 7th Step applied in the first Example.370. Look at the first Column, in thesecondTable, for25.2, and the Answer is 6225.0 in the second Column; and for29.4, and the Answer is 2208.2. The Answers are the Heights, in Feet and Tenths, in the Atmosphere, at which the Quicksilver stands in both Barometers, with the Temperature of 31°.24: corresponding to their respective Points, for whichsolePurpose this Table is calculated.371. 8th Step. Having placed the Barometers and their corresponding Heights in the Atmosphere, shewn by the second Table, at one View: subtract the lesser from the whole Height, and there will remain,secondly; (seeSection 367) the greater Height, viz. the Height corresponding to the Barometer in the elevated Station, above the Height corresponding to the Barometer, on the Ground, (both being at the Temperature of 31°.24) thus:Feet.Inches 25.2 correspond to6225.0Inches 29.4 correspond to2208.2; subtract:———and the Remainder is4016.8viz. a Number in Feet and Tenths corresponding to the Height of the upper above the lower Barometer, both being in the Temperature of 31°.34.THE SECOND TABLE.The 1st Column shews the Quicksilver in the barometric Tube standing at each Inch from 1 to 10, and at each Tenth from 10 to 32 Inches.The 2d Column shews the Height of the barometric Tube, above theimaginary Level at 32 Inches,—withthe Temperature of 31.24;—in Feet and Tenths, answering to Inches and Tenths of the Barometer in the first Column.The 3d Column shews the Height in Feet and Tenths, answering to a Tenth of an Inch on the Barometer, being thedifferencebetween each two adjoining Heights in the 2d Column.Inch.Feet.Differ-ence.Inch.Feet.Diff.Inch.Feet.Diff.190309.018061.816.816790.4154.624.56959.0106.1272247.210565.4.916635.8153.7.66852.9105.7361681.87496.417.016482.1152.9.76747.2105.3454185.45814.6.116329.2151.9.86641.9104.9548370.84750.9.216177.3151.1.96537.0104.4643619.94016.8.316026.2150.225.06432.6104.0739603.13479.5.415876.0149.3.16328.6103.6836123.63069.2.515726.7148.5.26225.0103.2933054.42745.4.615578.2147.6.36121.8102.810.030309.0259.6.715430.6146.8.46019.0102.4.130049.4256.4.815283.8146.0.55916.6102.0.229793.0254.3.915137.8145.2.65814.6101.6.329538.7251.818.014992.6144.3.75713.0101.2.429286.9249.3.114848.3143.6.85611.8100.8.529037.6247.0.214704.7142.8.95511.0100.6.628790.6244.7.314561.9142.026.05410.499.8.728545.9242.4.414419.9141.2.15310.699.7.828303.5240.2.514278.7140.5.25210.999.3.928063.3237.9.614138.2139.7.35111.698.811.027825.4235.8.713998.5139.0.45012.898.6.127589.6233.7.813859.5138.2.54914.298.1.227355.9231.6.913721.3137.5.64816.197.8.327124.3229.619.013583.8136.8.74718.397.4.426894.7227.6.113447.0136.1.84620.997.0.526667.1225.6.213310.9135.3.94523.996.7.626441.5223.7.313175.6134.527.04427.296.4.726217.8221.7.413041.1134.2.14330.895.9.825996.1220.0.512906.9133.3.24234.995.7.925776.1218.0.612773.6132.6.34139.295.212.025558.1216.3.712641.0131.9.44044.095.0.125341.8214.4.812509.1131.3.53949.094.5.225127.4212.7.912377.8130.6.63854.594.3.324914.7211.020.012247.2130.0.73760.293.9.424703.7209.3.112117.2129.3.83666.393.6.524494.4207.7.211987.9128.7.93572.793.2.624286.7206.0.311859.2128.028.03479.592.9.724080.7204.3.411731.2127.4.13386.692.6.823876.4202.8.511603.8126.8.23294.092.2.923673.6201.2.611477.0126.2.33201.891.913.023472.4199.7.711350.8125.6.43109.991.6.123272.7198.2.811225.2125.0.53018.391.3.223074.5196.6.911100.2124.4.62927.090.9.322877.9195.221.010975.8123.7.72836.190.7.422682.7193.7.110852.1123.3.82745.490.3.522489.0192.4.210728.8122.6.92655.190.0.622296.6191.0.310606.2122.029.02565.189.7.722105.6189.4.410484.2121.5.12475.489.4.821916.2188.1.510362.7120.9.22386.089.1.921728.1186.8.610241.8120.4.32296.988.714.021541.3185.5.710121.4119.8.42208.288.5.121355.8184.1.810001.6119.2.52119.788.2.221171.7182.9.99882.4118.8.62031.587.9.320988.8181.622.09763.6118.1.71943.687.6.420807.2180.3.19645.5117.7.81856.087.3.520626.9179.0.29527.8117.1.91768.787.0.620447.9178.0.39410.7116.630.01681.786.7.720269.9176.7.49294.1116.0.11595.086.4.820093.2175.4.59178.1115.6.21508.686.2.919917.8174.3.69062.5115.1.31422.485.815.019743.5173.1.78947.4114.5.41236.685.6.119570.4172.0.88832.9114.0.51251.085.3.219398.4170.9.98718.9113.6.61165.785.0.319227.5169.823.08605.3113.0.71080.784.7.419057.7168.6.18492.3112.6.8996.084.5.518889.1167.6.28379.7112.1.9911.584.2.618721.5166.5.38267.6111.631.0827.383.9.718555.0165.4.48156.0111.1.1743.483.7.818389.6164.1.58044.9110.6.2659.783.4.918225.5163.7.67934.3110.2.3576.383.116.018061.8162.4.77824.1109.7.4493.282.8.117899.4161.3.87714.4109.331.5410.482.6.217738.1160.4.97605.1108.8.6327.882.4.317577.7159.324.07496.3108.3.7245.482.0.417418.4158.4.17388.0107.9.8163.481.8.517260.0157.5.27280.1107.5.981.681.6.617102.5156.5.37172.6107.032.000.0.716946.0155.6.47065.6106.6372.Nowapply the third Table, or Table for Tenths,if necessary; including two more Steps, viz. the 9th and 10th: which, being useless, in the first Example, are, for the present, omitted.373. An Explanation of the third Table, or Table for Tenths, is, however, for the Sake ofOrder,heresubjoined.[122]THE THIRD TABLE, OR TABLE FOR TENTHS:Serving to compleat the 2d Table, on Expansion of the Barometer, with the Temperature of 31°.24.1. The upper horizontal Figures shew the Number of Parts into which the Tenth of an Inch has been divided.2. The Figures in the left vertical Column express the Height infeet, (above the imaginary Level, at 32 Inches of the Barometer,) or Expansion corresponding to a single Tenth of an Inch of Quicksilver.3. Thefeetin the Place of Meeting are calledtenths: thus, 90 Feet are 9 Tenths of 100 Feet.Feet.Parts into which the Tenth of an Inch is divided.1⁄102⁄103⁄104⁄105⁄106⁄107⁄108⁄109⁄108181624324049576573828162533414957667483817253341505866758481725344250596776858172534425159687686917263443526069778791726354352617078889182635445362707989918273644536271809091827364554637281919182736455564738292918283746556474839391928374656657484949192838475666758595919283847576676859610192938485867778697101929394858687887981020293949596978889910203040495969798910010203040506070809010110203040506171819110210203141516171829210310213141516272829310410213142526273839410510213142526373849410611213242536474859510711213243536475869610811223243546576869710911223344546576879811011223344556677889911111223344556778891001121122344556677890101113112334455668799010211411233446576880911031151123344657698092103116122335465870819310411712233547587082941051181224354759718394106119122436485971839510712012243648607284961081211224364860738597109122122437496173859811012312253749617486981111241225375062748799112125122537506275871001121261325385063768810111312713253851637689102114128132638516477901021131291326395264779010311613013263952657891104117
CHAPTERLXXIII.
Section 369.TO find the Heights, in Feet and Tenths, in the Atmosphere, corresponding to the Points at whichthe Quicksilver stands in both Barometers, which havenowthesame Temperature, viz. that of thewarmerBarometer, on a Supposition that they were both exposed to the Standard-Temperature of 31°.24, on Farenheit’s Scale.
370. Look at the first Column, in thesecondTable, for
25.2, and the Answer is 6225.0 in the second Column; and for
29.4, and the Answer is 2208.2. The Answers are the Heights, in Feet and Tenths, in the Atmosphere, at which the Quicksilver stands in both Barometers, with the Temperature of 31°.24: corresponding to their respective Points, for whichsolePurpose this Table is calculated.
371. 8th Step. Having placed the Barometers and their corresponding Heights in the Atmosphere, shewn by the second Table, at one View: subtract the lesser from the whole Height, and there will remain,secondly; (seeSection 367) the greater Height, viz. the Height corresponding to the Barometer in the elevated Station, above the Height corresponding to the Barometer, on the Ground, (both being at the Temperature of 31°.24) thus:
and the Remainder is
viz. a Number in Feet and Tenths corresponding to the Height of the upper above the lower Barometer, both being in the Temperature of 31°.34.
The 1st Column shews the Quicksilver in the barometric Tube standing at each Inch from 1 to 10, and at each Tenth from 10 to 32 Inches.The 2d Column shews the Height of the barometric Tube, above theimaginary Level at 32 Inches,—withthe Temperature of 31.24;—in Feet and Tenths, answering to Inches and Tenths of the Barometer in the first Column.The 3d Column shews the Height in Feet and Tenths, answering to a Tenth of an Inch on the Barometer, being thedifferencebetween each two adjoining Heights in the 2d Column.
The 1st Column shews the Quicksilver in the barometric Tube standing at each Inch from 1 to 10, and at each Tenth from 10 to 32 Inches.
The 2d Column shews the Height of the barometric Tube, above theimaginary Level at 32 Inches,—withthe Temperature of 31.24;—in Feet and Tenths, answering to Inches and Tenths of the Barometer in the first Column.
The 3d Column shews the Height in Feet and Tenths, answering to a Tenth of an Inch on the Barometer, being thedifferencebetween each two adjoining Heights in the 2d Column.
1
90309.0
18061.8
16.8
16790.4
154.6
24.5
6959.0
106.1
2
72247.2
10565.4
.9
16635.8
153.7
.6
6852.9
105.7
3
61681.8
7496.4
17.0
16482.1
152.9
.7
6747.2
105.3
4
54185.4
5814.6
.1
16329.2
151.9
.8
6641.9
104.9
5
48370.8
4750.9
.2
16177.3
151.1
.9
6537.0
104.4
6
43619.9
4016.8
.3
16026.2
150.2
25.0
6432.6
104.0
7
39603.1
3479.5
.4
15876.0
149.3
.1
6328.6
103.6
8
36123.6
3069.2
.5
15726.7
148.5
.2
6225.0
103.2
9
33054.4
2745.4
.6
15578.2
147.6
.3
6121.8
102.8
10.0
30309.0
259.6
.7
15430.6
146.8
.4
6019.0
102.4
.1
30049.4
256.4
.8
15283.8
146.0
.5
5916.6
102.0
.2
29793.0
254.3
.9
15137.8
145.2
.6
5814.6
101.6
.3
29538.7
251.8
18.0
14992.6
144.3
.7
5713.0
101.2
.4
29286.9
249.3
.1
14848.3
143.6
.8
5611.8
100.8
.5
29037.6
247.0
.2
14704.7
142.8
.9
5511.0
100.6
.6
28790.6
244.7
.3
14561.9
142.0
26.0
5410.4
99.8
.7
28545.9
242.4
.4
14419.9
141.2
.1
5310.6
99.7
.8
28303.5
240.2
.5
14278.7
140.5
.2
5210.9
99.3
.9
28063.3
237.9
.6
14138.2
139.7
.3
5111.6
98.8
11.0
27825.4
235.8
.7
13998.5
139.0
.4
5012.8
98.6
.1
27589.6
233.7
.8
13859.5
138.2
.5
4914.2
98.1
.2
27355.9
231.6
.9
13721.3
137.5
.6
4816.1
97.8
.3
27124.3
229.6
19.0
13583.8
136.8
.7
4718.3
97.4
.4
26894.7
227.6
.1
13447.0
136.1
.8
4620.9
97.0
.5
26667.1
225.6
.2
13310.9
135.3
.9
4523.9
96.7
.6
26441.5
223.7
.3
13175.6
134.5
27.0
4427.2
96.4
.7
26217.8
221.7
.4
13041.1
134.2
.1
4330.8
95.9
.8
25996.1
220.0
.5
12906.9
133.3
.2
4234.9
95.7
.9
25776.1
218.0
.6
12773.6
132.6
.3
4139.2
95.2
12.0
25558.1
216.3
.7
12641.0
131.9
.4
4044.0
95.0
.1
25341.8
214.4
.8
12509.1
131.3
.5
3949.0
94.5
.2
25127.4
212.7
.9
12377.8
130.6
.6
3854.5
94.3
.3
24914.7
211.0
20.0
12247.2
130.0
.7
3760.2
93.9
.4
24703.7
209.3
.1
12117.2
129.3
.8
3666.3
93.6
.5
24494.4
207.7
.2
11987.9
128.7
.9
3572.7
93.2
.6
24286.7
206.0
.3
11859.2
128.0
28.0
3479.5
92.9
.7
24080.7
204.3
.4
11731.2
127.4
.1
3386.6
92.6
.8
23876.4
202.8
.5
11603.8
126.8
.2
3294.0
92.2
.9
23673.6
201.2
.6
11477.0
126.2
.3
3201.8
91.9
13.0
23472.4
199.7
.7
11350.8
125.6
.4
3109.9
91.6
.1
23272.7
198.2
.8
11225.2
125.0
.5
3018.3
91.3
.2
23074.5
196.6
.9
11100.2
124.4
.6
2927.0
90.9
.3
22877.9
195.2
21.0
10975.8
123.7
.7
2836.1
90.7
.4
22682.7
193.7
.1
10852.1
123.3
.8
2745.4
90.3
.5
22489.0
192.4
.2
10728.8
122.6
.9
2655.1
90.0
.6
22296.6
191.0
.3
10606.2
122.0
29.0
2565.1
89.7
.7
22105.6
189.4
.4
10484.2
121.5
.1
2475.4
89.4
.8
21916.2
188.1
.5
10362.7
120.9
.2
2386.0
89.1
.9
21728.1
186.8
.6
10241.8
120.4
.3
2296.9
88.7
14.0
21541.3
185.5
.7
10121.4
119.8
.4
2208.2
88.5
.1
21355.8
184.1
.8
10001.6
119.2
.5
2119.7
88.2
.2
21171.7
182.9
.9
9882.4
118.8
.6
2031.5
87.9
.3
20988.8
181.6
22.0
9763.6
118.1
.7
1943.6
87.6
.4
20807.2
180.3
.1
9645.5
117.7
.8
1856.0
87.3
.5
20626.9
179.0
.2
9527.8
117.1
.9
1768.7
87.0
.6
20447.9
178.0
.3
9410.7
116.6
30.0
1681.7
86.7
.7
20269.9
176.7
.4
9294.1
116.0
.1
1595.0
86.4
.8
20093.2
175.4
.5
9178.1
115.6
.2
1508.6
86.2
.9
19917.8
174.3
.6
9062.5
115.1
.3
1422.4
85.8
15.0
19743.5
173.1
.7
8947.4
114.5
.4
1236.6
85.6
.1
19570.4
172.0
.8
8832.9
114.0
.5
1251.0
85.3
.2
19398.4
170.9
.9
8718.9
113.6
.6
1165.7
85.0
.3
19227.5
169.8
23.0
8605.3
113.0
.7
1080.7
84.7
.4
19057.7
168.6
.1
8492.3
112.6
.8
996.0
84.5
.5
18889.1
167.6
.2
8379.7
112.1
.9
911.5
84.2
.6
18721.5
166.5
.3
8267.6
111.6
31.0
827.3
83.9
.7
18555.0
165.4
.4
8156.0
111.1
.1
743.4
83.7
.8
18389.6
164.1
.5
8044.9
110.6
.2
659.7
83.4
.9
18225.5
163.7
.6
7934.3
110.2
.3
576.3
83.1
16.0
18061.8
162.4
.7
7824.1
109.7
.4
493.2
82.8
.1
17899.4
161.3
.8
7714.4
109.3
31.5
410.4
82.6
.2
17738.1
160.4
.9
7605.1
108.8
.6
327.8
82.4
.3
17577.7
159.3
24.0
7496.3
108.3
.7
245.4
82.0
.4
17418.4
158.4
.1
7388.0
107.9
.8
163.4
81.8
.5
17260.0
157.5
.2
7280.1
107.5
.9
81.6
81.6
.6
17102.5
156.5
.3
7172.6
107.0
32.0
00.0
.7
16946.0
155.6
.4
7065.6
106.6
372.Nowapply the third Table, or Table for Tenths,if necessary; including two more Steps, viz. the 9th and 10th: which, being useless, in the first Example, are, for the present, omitted.
373. An Explanation of the third Table, or Table for Tenths, is, however, for the Sake ofOrder,heresubjoined.[122]
Serving to compleat the 2d Table, on Expansion of the Barometer, with the Temperature of 31°.24.1. The upper horizontal Figures shew the Number of Parts into which the Tenth of an Inch has been divided.2. The Figures in the left vertical Column express the Height infeet, (above the imaginary Level, at 32 Inches of the Barometer,) or Expansion corresponding to a single Tenth of an Inch of Quicksilver.3. Thefeetin the Place of Meeting are calledtenths: thus, 90 Feet are 9 Tenths of 100 Feet.
Serving to compleat the 2d Table, on Expansion of the Barometer, with the Temperature of 31°.24.
1. The upper horizontal Figures shew the Number of Parts into which the Tenth of an Inch has been divided.
2. The Figures in the left vertical Column express the Height infeet, (above the imaginary Level, at 32 Inches of the Barometer,) or Expansion corresponding to a single Tenth of an Inch of Quicksilver.
3. Thefeetin the Place of Meeting are calledtenths: thus, 90 Feet are 9 Tenths of 100 Feet.
81
8
16
24
32
40
49
57
65
73
82
8
16
25
33
41
49
57
66
74
83
8
17
25
33
41
50
58
66
75
84
8
17
25
34
42
50
59
67
76
85
8
17
25
34
42
51
59
68
76
86
9
17
26
34
43
52
60
69
77
87
9
17
26
35
43
52
61
70
78
88
9
18
26
35
44
53
62
70
79
89
9
18
27
36
44
53
62
71
80
90
9
18
27
36
45
54
63
72
81
91
9
18
27
36
45
55
64
73
82
92
9
18
28
37
46
55
64
74
83
93
9
19
28
37
46
56
65
74
84
94
9
19
28
38
47
56
66
75
85
95
9
19
28
38
47
57
66
76
85
96
10
19
29
38
48
58
67
77
86
97
10
19
29
39
48
58
68
78
87
98
10
20
29
39
49
59
69
78
88
99
10
20
30
40
49
59
69
79
89
100
10
20
30
40
50
60
70
80
90
101
10
20
30
40
50
61
71
81
91
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