Text·
Handwritten in English. Every line is transcribed, and the text sits beside the scan.
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Scan: Penn Museum Archives, Philadelphia, PU-Mu 1050, Box 8, folder 5, Courtesy of the Penn Museum.
Unnumbered pageScan 29 of 87
| [58] | In △ ACD if side AC = 201.74 |
| CD = 117 |
Solve for C assuming ∠ A = 25.56 ; ∠ D = 48.47 1/2 |
| A) Sin 25.56 | 9.64080 | D) Sin 48.47 1/2 | 9.87640 |
| Ls 117 | 2.06819 | Ls 201.74 | 2.30481 |
| | 7.57261 | | 7.57159 |
| " 201.74 | 2.30481 | 117 | 2.06819 |
| 104.4 | 9.87742 | 131.1 1/2 | 9.63978 |
| Sin D | 48° 56 1/2 | S. A | 25° 52' |
| C. | 105. 7 1/4 | | 105.20 1/2 |
assuming ∠ C = 105.22 | 201.74 |
∠ D + A = 74.38 | 117 |
2 = 37-19 | d - c | 84.74 |
| d - c | 1.92809 | 192809 | d + c | 318.74 |
| d + a | 2.50343 | S | 25.10.5 |
| | 9.42466 |
| 32.99 Tan | 988210 | Sin | 9.78763 |
| | 9.30676 | | 1.71072 | side |
| D - A | 11° 25' 21 | Sin | 9.79675 | A - D |
| D + A | 37 - 19 | | 2.41397 | = 259.40 |
| D | 48.44.21 |
| A | 25 - 53 - 39 | 105° 20' |
| | | D + A = 74.40 |
| | 9.42466 | 37.20 |
| | 9.88236 |
| Ta | 9.30702 | 25.10.5 | 1.92809 | 62 |
| | 11° 27' 46" | | 9.78280 |
| | 37.20 | | 1.71089 |
| | 48.47.46 | + Si | 9.29825 |
| | 25 - 52.14 | | 2.41264 |
| | | | = 258.60 |
| | | | 3° 45 |
| | 259 | 310 |
| Lg 310 = | 2.49136 | In △ ACD let |
| Si 3°45 | 8.81560 | reduce ∠ D to |
| | 1.30696 | (= 20.275) | say 48.40 or 48.42 |
| 259 | 2.41330 | Obser ∠ 171.37.30 |
| | 8.89366 | ∠ A then |
| | = ∠ 4° 30' 23 | ∠ D = 171 - 40 - 37 | 25 - 50 |
| △ ABD | [inserted: p 57] Side BD = 242.52 (Lg 238475) |
| ∠ A = 69.43 | ∠ B = 110.15 - 21.13 = 89.2 | [inserted: (15?)] |
| ∠ D = 48.47 - 27.23 = 21.24 | [inserted: 21.4] |
| Ls 242.52 | 238475 | | 2.41255 | (drawing) |
| Ls 69.43 | 9.97220 | | | (drawing), "D 48.47] |
| | 2.41255 | S 88.53 | 9.99997 |
| Ls 21.24 | 9.56215 | | 2.41249 |
| 1) | | 1.97470 | | = 258.50 |
| | 94 35 |
| of 94.28 | p 56 foot | 7. p 58 | + p 56 |
| | 2.41255 | S | 2.41255 |
| 2) | S 21.15 | 9.55923 | S 89.2 | 9.99994 |
| 93.71 | 1.97178 | 93.71 | 2.41249 | 258.52 |
| | 2.38475 | assuming Ls B + D correct |
| S. 69.34 | 9.97178 | | 2.41249 | + A = 69 34 |
| | 2.41297 | S 89.2 | 9.99994 |
| 3) | 21.24 | 9.56215 | | 2.41291 |
| | = 1.97512 | 94.43 | = 258.77 |
If in △ BCD we reduce ∠ C by 9' = 131.° 15 B + D = 48.45 = 24° 22 1/2'
| Lg T = | 9.65619 | S = | 9.61504 |
| foot of p 57 = | | 1.50133 | | 1.50133 |
| | 1.15752 | | 1.11697 |
| 24.22.30 | 2.42442 | | 2.38450 |
| 3.5.46 | 8.73310 | - S | 8.73247 |
| D = 27.28.16 | = 3° 5' 46" | | 2.38450 |
| B = 21-16.44 | | | = 242.38 |
The in △ ABD we have BD = 242.38 ∠ B = (110-15 - 21.17 =) 88.58+ + D = (48.47 - 27.28 =) 21.19
| | 2.38450 | Ls C B D A as taken |
| S 69.43 | 9.97220 | = 131.24 |
| | 2.41230 | 110.15 |
| 4) | 21.19 | 9.56053 = | A. B. | 48.47 1/2 |
| | 1.97283 = | 93.94 | 69.43 |
| 88.58 | 9.99993 | A. D. | 360°.9 1/2 |
| | 2.41223 = | 258.36 | must be reduced |
| | | | by 9 1/2' |
65 figures hard to readstruck struck outadded written in above” jug ditto, and what it repeatsword reading not certain
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