Page 56Scan 28 of 87
Margin left: K'
Drawing: geometric triangulation; labels: 58.40, XIV N, XIV S, 122° 4, 140°25', 149°49', A, 193°27', 219°43', 16.83 m, B, 240°45', 21° 13', 191° 22, 48.72 m, 29°40', 37°27' v, 1800, 375.15, (drawing), (309.13), [arrow pointing N], N, C, 203.5)(054.15, 314 17 v, 29° 13', D, D
Δ A C D D 25.56 + 105.22 + 48.47 1/2 Real 25.55 + 105.20 + 48.45 Side C D = 117
2.06819 9.64054
| 2.42765 | 9.98426 | 100° 30 |
| 9.87613 | 2.41791 | |
| 2.30378 | 258.17 | |
| 201.27 |
| Δ ABC | Real | BC log = 2.17237 | |||
| 43.47 | 43.45 | 14872 | |||
| 110.15 | 110-15 | 2.33257 | sin 9.64184 | ||
| 26.2 | 26 | 110-15 | 9.97329 | 1.97441 | |
| 201.73 | = 2.30486 | = 201.7 | = 94.28 |
Right page
XIV N - XIV S - B laid out at 1/200 16.85 16.83 ∠ at B 129 45° Dist XIV. N - B scales 32.85
| Δ XIV N - B - C | B-C = 148.72 |
| ∠B = 153.15 (110.15 + 42.55) | |
| ∠C = 4.44 (26-2 - 21.18) |
In XIV. N - B : make ∠C = 4.45, the XIV N - B = 32.76 (log 1.51530) d XIV N - C = 178.55 (log 2.25179)
| In Δ A - XIV N - C | Side 178.55 |
| ∠ A = 61.°23 | ∠C 21.18 [in 21° 17.1 if you |
| wish to compensate for change | |
| Result Side A - C = 201.75 | of 4.44 above, to 4° 45' |
| (log 2.30482) |
Accept Δ = A B C as sufficiently accurate AB = 94.28 (94.29 in Δ-XIV. N-B)
| AC = 201.75 | BC (measured) 148.72 |
If however ABC right then ACD wrong & relation of A to D - F considerably out In ∠ A - F - D = 3° 45 & line AF should pass C 17.00 m. fr D but with A 201 fr C FA passes C 75 m fr D
Assuming ∠s BCA + ACD correct as
| last year (p.38) solve Δ BCD | 148.72 + 117. m | |||
| 148.72 + 117 = 265.72 ; -117 = 31.72 | ∠ 131.24 | |||
| Tan 48.36 / 2 = 24.18 | log = 9.65467 | Sin 9.61438L D | ||
| 31.72 | 1.50133 | 1.50133 | ||
| 1.15600 | 1.11571 | |||
| ∠ BAD = 69.43 | 265.72 | 2.42442 | S. 8.73096 | |
| ∠ ABD = 110.15 | 2.38475 | |||
| 21.13 | log Ta | 8.73158 | BD = 242.52 | |
| 89.02 | D-B | 3° 5' 2" 4 | ∠ C = 27.23 | |
| · ADB = 21.15 | ∠B = 21.13 | |||
| ∠ ADC = 27 23 | D+B | 24.18.0 | to A.59 | |
| 48.38 |
65 figures hard to readstruck struck outadded written in above” jug ditto, and what it repeatsword reading not certain