Double 1000 Yards, the Height from the Earth to the Clouds for an Addition to the Diameter of the Earth, whose Surface is now considered, as extended to the concentric Floor of Cloud.
1000
1000
——
2000
SECOND.
13932702(1⁄3) | 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 | . . . . . | 1760) Yards in a Mile. | |
| Square 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 | |||
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 | 139327052⁄3 | Yards, |
| add 2332 | the Height of the Eye or Balloon. | |
| ———— | ||
| 13935037 | he 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 1021⁄2 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.”
[20] Ullòa in his voyage to South-America relates, that in passing over the Deserts, Írides are frequently seen by Travellers round their own Heads as the Center of the Iris; and visible only to themselves. But what Analogy the Balloon Iris bears to them, Time and future Experiments may discover. See his “Voyage to South America, Vol. 1. Pa. 442.”