Unnumbered pageScan 32 of 87
64 (p. 39) Testing Δ DEE'
| ∠ E = 132^°· 12' | ∠ E' = 34^° 25' (p.39) | |
| ∠ D = 13^°· 23' | DE = 185.74 | E-E' = 76.56 |
| l 185.74 = 2.26887 | 1 76.56 = 1.88400 |
| 34^° 25' 9.75221 | 13^° 23' 9.36449 |
| 2.51666 | 2 51951 |
| 132^° 12' 9.86970 | 9.86970 |
| 243.42 = 2.38636 | 245.02 = 2.38921 |
These two results should be identical ie sith ∠ E' or ∠ D must be modified Diff between their sines sh. be 0.38487 (2.26887/1.88400) Sq. if E' = 34° 20 D must be 13° 26' 31 (E' 132^° 13' 29'') 34 25 13 28 26 (.. 132.6.34 34 30 13 30 8 (.. 131.59.52
∠ E' 34° 21' D 13° 27' E 132^°· 12
| 2.26887 | 1.88400 |
| 9.75145 | 936660 |
| 2.51740 | 2.51740 |
| 132 12 9.86970 | |
| 2.38710 = 243.84 |
Assuming these values correct 180^° - ·· Δ DE'TV = ∠ s (18.37 - 13.27) 5-10, 180 - (34.21+5.10) 130 Sides 243.84 + 32.02 44.26
| Sin 2.38710 | .. 1.50515 | Running: |
| S 44/26 9.84515 | 5.10 8.95450 | TV = 44^° 20 D = 5.10 |
| 2.54195 | 2.55065 | Length 2.38710 |
| S 5.10 8.95450 | 44/26 9.84515 | 44^° 20 9.84437 |
| 31.37 = 1.49645 | 248.74 2.39580 | 2.54273 |
| \textasciicircum 32.02 | \textasciicircum 243.84 | 5.16 8.96280 |
| 1.50553 | ||
| E'-TV 32.03 = 988169 | ||
| D-TV = 265.72 | 2.42442 |
Stake s. side of Tar. TV in axial line of Tr I is c 23.53 from TV co. & the 23.53 line is \perp D-TV 23.53 ÷ 265.72 = Tan ∠ at D which machine Log 23.53 = 1.37162 made 5^° 7' 47.50 - 42.43 " D-TV 2.42442 8.94720 = Tan. 5^° 5' 38''
Right page
Δ DE TV | ∠ D = 13.27 + 5.16 = 18^° 43' (Chim & photp) DE = 185.74 D-TV = 265.72 (phot p. 64) Solving by law of tangents get ∠ DETV | 127^° 43' 18'' ∠ D-TV-E | 33^° 33' 42'' & side E-TV | = 107.79 = the 107.80 obtained by ∠ E'E IV p. 50 foot This may be taken as correcting results recorded foot of p. 49 for Δ DETV
Δ GE IV EG 252.60 (p.44) E-IV 107.80 ∠ E = 360^° - (122.5.20+127.43.18) = 110.10.52 110.11.22 180 - 110.11.22/2 = 69· 48· 38/2 = 34.54 19 252.60 - 107.80/.. + .. = 144.80/360.40 (Log 2.16077)/" 2.55678 9.60399
| 2.16077 | |
| + 9.75757 | S = 34.54.19 Tang 9.84369^5 |
| 1.91834 | 15 39 37 " 9.44768^5 |
| - 9.43146^5 | |
| 2.48688 | |
| TV-G = | (69.49.8) 110.11.22 |
| 306.81 | ok (180.0.0) |
Δ DGTV ∠ s D = 33^° 47 (∠ DE p.44 + 18.43 (above)= 52.30 G = 24.7.40 (∠ GE p.44) + 19.14.42 (above)= 43.22.22 DG 384.96 (p. 48 foot) TV = 84.7.38 Log 2.58542
| S 84.7.38 9.99771^5 | 2.58770 |
| 2.58770^5 | 9.83679 43^° 22' 22 |
| S 52.30 9.89947 | 2.42449^5 = 265.77 = D-TV |
| 2.48717 = 307.02 = TV-G |
These two lines, TV-G & D.TV must be the same as abv (306.94 & 265.72) if DG = 384.88
S
65 figures hard to readstruck struck outadded written in above” jug ditto, and what it repeatsword reading not certain