Text·
Handwritten in English. Every line is transcribed, and the text sits beside the scan.
Original linePoint at a line of the text or of the scan.
Scan: Penn Museum Archives, Philadelphia, PU-Mu 1050, Box 8, folder 5, Courtesy of the Penn Museum.
Page 46Scan 23 of 87
Drawing: triangulated network connecting points C, D, E, F, G
C 117. D 139.30 86.74 185.74 160.39 312.71 262.74 123.46 406.85 67.59 152.32 E 154.22 F 326.90 252.62 384.96 298.22 G 392.25]
| ∠ F D E = 61°20 - 40.25 = 20° 55' } 54°42' } 139.35p.36 |
| E D G = 180 - (61.20 + 84.53) = 33.47 } 138.40 |
| G D C = 84.53 |
| 49.33 / 41.50 ? |
| ∠ D F C = 10.37 1/2 } 26.0p.34 |
| C " E = 15.22 1/2 |
| D " E = 26.0 } 74.5 |
| E " G = 48.5 |
| C " G = 63.27 1/2 |
| Revised |
| 10° 41' } 25.28 |
| 14° 47 |
| 25.28 } 73.58 |
| 48.30 |
| 63.17 |
| ∠ D C F | 29.33 | 29° 44 } 38.20p.35 |
| F " E | 8.44 | 8° 36 |
| E " G | 39.13 | 39° 30 |
| ∠ C G D | 17.17 | 17.17p. 40 |
| D " E | | 24.7.40 } 51.20 |
| E " F | | 27.12.20 |
| D " F | 51.20 | 51.20 |
| C " F | 68.37 | 68.37 |
| △ F D E | △ C D F | △ F C E | △ F C G |
| 26-0 | 29.33 ? | 15.22 1/2 | 63.27 1/2 |
| 20-55 | 139.35 | 8.44 | 47.57 |
| ? | 10 37 1/2 | ? | 68.37 |
| 179 45 1/2 | | 180. 1 1/2 |
| | | p48 p42 |
| △ C E G | △ D E G | △ C D E | △ C D G |
| 39-13 | 33.47 | 38.15 | 77.30 |
| 98.45 | 121-44 | 118.40 | 84.53 |
| ? + 17-17 | ? | 23.09 | 17.17 |
| ? + 155.15 | ? + 155.31 | 179.56 | 179 = 40 |
| | | p48 p42 |
| △ F D G | △ F E G |
| 74 = 5 | 48.5 |
| 54.42 | ? |
| 51.20 | ? |
| 180.7 | p48 |
Take △ C - D - E as solved p. 43 ∠s 38.20 + 118.40 + 23.0 = 180° Sides 117. 262.74 + 185.74 (logs 2.06819 2.41952 + 2.26887)
△ F D E ∠s 26.0 20.55 (133.5) (log 185.74 2.26887 (p43)
| Sin 20.55 9.55368 | 133.5 988354 |
| 2.82155 | 2.13241 |
| Sin 26° 9.64184 | 9.64184 |
| 2.17971 | 2.49057 |
| 151.26 | 309.43 |
| S. 4DF 2 | 310.57 |
+ △ C D F (∠s revis.) ∠s 29.40 139.35 10.45
| 117. 2.06819 | 2.06819 |
| -S10.45 9.27073 | 10.37 9.26538 |
| 2.79746 | 2.80281 |
| +S29.40 9.69456 | 29.48 9.69633 |
| 2.49202 | 2.49914 |
| S139.35 9.81180 | 9.81180 |
| 2.60926 | 315.60 2.61461 |
| 406.69 | 310 411.73 |
△ C F G ∠s 63.27, 47.56, 68.37 = 180 (revised) Side C - F = 406.69 (log 2.60.926)
| 2.60926 |
| S.68.37 | 9.96903 |
| 2.64023 | 2.64023 |
| S63.27 | 9.95160 | +47.56 9.87062 |
| 2.59183 | 2.51085 |
| CG | = 390:69 | FG = 324.23 |
65 figures hard to readstruck struck outadded written in above” jug ditto, and what it repeatsword reading not certain
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