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 66Scan 33 of 87
| △ | _EF_IV__ | (drawing) | |
| ∠ IV · E · E' | 4° 26 | |
| F · E · E' | 1· 25 | |
| IV· E\cdotF | 5° 51 | |
| ∠ IVFE | 12°· 35 | (p\ 34\ 40· 50 - 28· 15) | |
| | [Take 46.80 as compromise estimate] | |
| - | Log | 46.76 | = | - 1.66987 | 5.26 - 41 | |
| + | | 5° · 26′ · 41′′ | + | 8.97720 | 12.38 - 90- | |
| | | | | 7.30733 | 18.04-50- | |
| - | Log | 107.80 | | 2.03262 | 161· 55· 10 | |
| F = | + 13° 34′· 42′′ = | | | 9.33995 | Sin = + 1.66987 | |
| | 12· 38· 9 | an error | of 1° at | F? | + 8.97720 | |
| | 12· 38· 9· | | | | $7.69267$ | |
| | | | Sin | 161· 55· 10 | 9.49160 | |
| | | | | | $7.18427$ | |
| | | | 152.85 | = EF = | 152.85 | |
| △ | _DF_IV__ | ∠ D = | 2° 18′ | [42.43 - 40· 25 | p 36] | |
| | _D_IV__ = | $265.72 =$ | Log | $2.42442$ | |
| | IV· E | $46.76$ | ” Log | $1.66987$ | |
| $1.66987$ | | | | 0.75455 | |
| 8.60349 | } | 2° 18 | ls | 8.60349 | |
| $3.06638$ | 13° 10′ 56′′ | $=$ | 9.35804 | |
| 9.42641 | 164\ 31\ 4 | |
| $2.49279$ | = 311.02 | = DF | |
| △ | _GE_IV__ | 7942 the | measured | ∠ at G = | $18.40$ | |
| | GF_IV_ | makes F_IV_ | too long | . solver △ | |
| [4 \angles four sides $326.90$, $306.96$ & $46.76$ | |
| [using formula for 1/2 Sin A = sqrt{(s-b)(s-c)bc} | |
| Result: | G = | 7° 39′ | 20′′ | IV = | 111° 21′ to′′ | F = | 60° 59′ 30′′ | |
| | | | | | | 13 | 27 | |
| ∠ FGE \therefore = | 19· 14· 42 | (EG_IV_ | p 65) | |
| | 7· 39· 20 | (IVGE | above) | |
| | 26°· 54′· 2′′ | |
| △ FGE | EG = | $252.60$ | FG | $326.90$ | |
| | ∠ G = | 26° 54′\ 2′′ | [fort | p \ 66] | |
| $326.90$ | - | $252.60$ | = 74.30 | (Log \ 1.87099) | |
| | + | | $= 579.50$ | ("\ 2.76305) | |
| $180 - 26.54.10 =$ | $153-5-50$ | 1/2 = | 76· 32· 59 | |
| $74.30$ | $1.87099$ | | $1.87099$ | |
| Tan | + 0.62131 | + S = | 9.98492 | |
| | $2.49230$ | | $1.85891$ | |
| $579.50 -$ | 2.76305 | - Sin | 9.67439 | |
| Tan | $9.72925$ | | $2.18452$ | |
| | 28°· 11· 46 | EF = | 152.96 | |
| | - 76· 32· 59 | |
| ∠ FEG | 104· 44· 45 | 15 | |
| ∠ EFG | 48· 21· 13 | $13$ or $12$ | |
| △ DEF | DE | $185.74$ | (Log | $2.26887$) | (p $44$ oe) | |
| | DF | $311.07$ | ” (Log | $2.49286$ | (opp. page) | |
| | EF | $152.97$ | ” (Log | $2.18461$ | (above) | |
| ∠ D | FD_IV_ \ (42.43 - 40.25\ p 36) = 2° 18′ \ (p 66) \\ _IV_DE 13.27 + 5.16 \ (p\ 64-65) = 18.43 | |
| | | 21° 1′ | |
| [4 measured 20· 55; but 20· 1 results as a | |
| "bm" for solution as below for separate △ | |
| Give $185.74$ $152.96$ & 21° 1′ solve for | |
| \angles & side DF | |
| \therefore S\ 21· 1 | $9.55466$ | |
| : $152.96$ - | 2.18452 | |
| EF | $7.37014$ | |
| $185.74 +$ | 2.26887 | |
| Sin | $9.63901$ | |
| ∠ F = | 25° 49′\ 7′′ | |
| $2.18452$ | $21-1-0$ | |
| - 9.55466 | 25\ 49\ 7 | |
| $2.62986$ | $46-50-7$ | |
| + 9.86296 | Sin | 133· 9· 53 | |
| $2.49282$ | |
| 311.04 | = DF | |
65 figures hard to readstruck struck outadded written in above” jug ditto, and what it repeatsword reading not certain
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