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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

377. 12th Step. Find the Height corresponding to the Expansion of Air,
with Excess of Heat or Temperature above the Standard-Temperature of
the Barometers: and add it (as in the first Example) to the Height of
the upper Barometer, corresponding to the Standard-Temperature already
found in the _second_ Table, and the Sum is the _true_ Height of the
upper Barometer.

This is to be done by referring to the 4th Table, shewing Expansion
of Air with Heat; for the Application of which there are separate
Instructions: see the Explanation of the 4th Table.[124]

378. The Expansion of Air, in the first Example, is found by the
4th Table to be Feet 107.3 Tenths _higher_ than the 4016.8, viz. the
Remainder from the 2d Table (Section 371); which Numbers added give
4124.1 Feet: viz. the true Height of the upper Station required.




                           CHAPTER LXXIIII.


      USE AND PRACTICE OF THE FOURTH TABLE, IN THE FIRST EXAMPLE.

                             _The_ +use+.

Section 379. To shew in Feet, and Tenths, what is the Expansion of Air
on each thousand Feet, from 1000 to 9000 Feet, _with_ each Degree of
Temperature from 1 to 100 Degrees, on Farenheit’s Scale.


                           _The_ +practice+.

             _The 12th Step applied in the first Example._

380. For the Expansion of Air with 11 Degrees of Heat on 4016.8 Feet,
look in the fourth Table, _with_ 11 in the left Hand vertical Column
of Temperature, and (first) _on_ 4000 Feet, along the upper Line: the
Place of Meeting gives the Expansion of the Air, _with_ 11 Degrees _on_
4000 Feet: viz. 106.92.[126]

Next; look _with_ 11 Degrees, and (as there is a Cypher only in the
Place of Hundreds) _on_ 10, (viz. of the 16 Feet) call the 10, a 1000;
the Place of Meeting, or Answer is 26.73:

Thirdly; _with_ 11, _on_ 6, (viz. of the 16,) calling it 6000; the
Answer is 160.38:

Fourthly; _with_ 11, _on_ 8, (viz. the .8,) and the Answer is 213.84.

381. Having added the respective Expansions together, thus;

  _with_ 11°, _on_ 4016.8                Feet. Tenths.
              }    4000   = 106.92         106.92
              }      10   =  26.73            .2673
  _with_ 11°  }       6   = 160.38            .16038
     _on_     }        .8 = 213.84            .021384
              }                            ——————————
              }                  Expansion 107.369064;

(See Page 306.)

                           THE FOURTH TABLE,

  +shewing the expansion with HEAT, from 1 to 100 degrees, on each
    THOUSAND FEET in the atmosphere, from 1000 to 9000 feet.+

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