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Airopaidia : $b Containing the narrative of a balloon excursion from Chester, the eighth of September, 1785, taken from minutes made during the voyage; hints on the improvement of balloons ... To which is subjoined, mensuration of heights by the barometer, made plain; with extensive tables. The whole serving as an introduction to aërial navigation.Baldwin, Thomas

History

Airopaidia : $b Containing the narrative of a balloon excursion from Chester, the eighth of September, 1785, taken from minutes made during the voyage; hints on the improvement of balloons ... To which is subjoined, mensuration of heights by the barometer, made plain; with extensive tables. The whole serving as an introduction to aërial navigation.

Name: Airopaidia : $b Containing the narrative of a balloon excursion from Chester, the eighth of September, 1785, taken from minutes made during the voyage; hints on the improvement of balloons ... To which is subjoined, mensuration of heights by the barometer, made plain; with extensive tables. The whole serving as an introduction to aërial navigation.
Author: Baldwin, Thomas

Baldwin, Thomas

Aeronautics -- Early works to 1900; Balloons -- Early works to 1800

402. Therefore subtract the _Height_, in Feet, corresponding to the
_Expansion on_ .0318 Tenths of an Inch (_less_ than Inches 28.2
Tenths of the _lower_ barometric Tube,) from the Height, in Feet,
corresponding to the _Expansion on_ 28.1 Tenth of the same Barometer,
viz.
                      3386.6
                        29.6
                      ——————
  and the Remainder - 3357.0, gives the _real_ Height in Feet of the
lower Barometer, at 28.1318 when above the _imaginary_ Level, and with
the Temperature of _freezing_ by the second Table.

403. Then, by taking the Number of Feet and Tenths _above_ the
imaginary Level, (indicated by the Quicksilver, in both Tubes, resting
at 32 Inches) answering to the _Expansion on_ Inches and Tenths of
the _lower_ Tube, from the Number of Feet, &c. by the former Process,
answering to that of the _upper_ Tube; viz.
                 _upper_ 7292.1
                 _lower_ 3357.0
                         ——————
      the remaining Feet 3935.1 Tenth is the _Height_, by which the
_Station_ of the _upper_ Barometer exceeds the _Station_ of the
_lower_; both being at the Temperature of 31°.24 on Farenheit’s Scale.
See Section 371.

                        END OF THE SECOND STAGE

                   *       *       *       *       *

[Sidenote: 11th Step.]

Section 404. 11th Step.

(See the Practice in the 1st Example, Sect. 376.)

  _Air_-Thermom. +above+ was    56°.
  _Air_-Thermom. +below+ was    63.9
                                —————
      Whole Heat               119.9(0 adding a Cypher)
      Half Heat                 59.95
      Standard-Heat             31.24
  which deduct; and there      ——————
  remains each Moiety,          28.71
  above the Standard-Heat.

[Sidenote: _12th Step._]

405. 12th Step. (See the Practice in the first Example, Section 377.)

By the fourth Table, find the Expansion of Air, _with_ 28.71, (more
than the Standard-Temperature) _on_ Feet 3935, .1 Tenth, gradually,
thus:

406.

  _First_ _with_ 28° _on_ Feet 3000 = 204.1[131]
                        900 as 9000 = 612.3
                         30    3000 = 204.1
                          5    5000 = 340.1
                           .1  1000 =  68.0

Note: 1st. The decimal Point in the Answer corresponding to the Place
of _Thousands_, in the Question, is to remain, as taken from the Table
calculated for thousand Feet, thus: 204.1.

2d. For _Hundreds_ in the Question, remove the decimal Point _one
Place_ in the Answer, thus: 612.3 becomes 61.23:

3d. For _Tens_, _two_ Places, thus: 204.1 becomes 2.041:

4th. For _Units_, _three_ Places, thus: 340.1 becomes .3401:

5th. And for each _Decimal_, a Place more, by adding Cyphers to the
left, if wanted, thus: 68.0 becomes .00680.

407. Place the plain and decimated Answers, in one View, and add the
latter together, thus:

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