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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

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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.

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

13932702(⅓) Diameter of the Earth in Yards.
                      2000      Addition to the Diameter.
                  ————————
                  13934702  Sum, to which add
                      1332  the Height of the Eye or of the
                  ————————  Balloon above the Floor of Cloud.
                  13936034  Sum, which multiply into
                      1332  the Height of the Eye above the
                  ————————  Floor.
                  27872068
                 41808102
                41808102
               13936034
  Extract the  ———————————
  Square        . . . . .     1760) Yards in a Mile.
  Root         18562797288    (136245 (77 Miles.
               1               12320
              ——             ———————
          23)   85              13045
                69              12320
               ———            ———————
          266)  1662 Yards 440)  725 (1 Quarter of a Mile.
                1596             440
                ————             ———
          2722)   6679           285  Yards.
                  5444
                 —————      Ans. 77 Miles, 1 Qu. 285 Yards.
          27244)  123572
                  108976
                  ——————
          272485)  1459688
                   1362425
                   ———————
                     97263

[Sidenote: Circular Boundary of the _terrestrial_ Prospect from the
Balloon on a _clear_ Day.]

                               PROBLEM.

To find the circular Boundary of the _terrestrial_ Prospect, on a clear
Day, from the Balloon at the Height of near a Mile and half, viz. 2332
Yards: the Earth’s Diameter being

         equal to 13932705⅔ Yards,
                  add 2332     the Height of the Eye or
                  ————————       Balloon.
                  13935037     the Sum, multiply into
                      2332     the Height of the Eye, &c.
                  ————————
                  27870074
                 41805111
                41805111
               27870074
               ———————————
  Extract the   . . . . .   1760) Yards in a Mile.
  square Root  32496506284  (180267 (102,
               1             1760 say 102½ Miles, Ans.
              ——             ————
          28)  224             4267
               224             3520
               ———             ————
           3602)  9650          747 Yards, Remainder.
                  7204
                  ————
           36046)  244662
                   216276
                   ——————
          360527)  2838684
                   2523689
                   ———————
                    314995  Remainder.

[19] See his “Minute Philosopher.”

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