To find the Augmentation of the Moon's Semidiameter, by the altitude of the Arg. Alt. nona+ap.dist. PART III. Argument's Parallax in Lat. 247 PART I. PART II. Arg. from nona. =Alt. nona. - ap. dist. from nona. Arg. Sum of Corr. D's true Equat. Latit. Part 1.+ 1". 2 3 1 4.4 5 4 5 0. 714. 697. 42 0.02 0 .03 0 .04 0 .05 09.06 0 .07 0 .08 0 .09 0. 20 0 .000 .010 .020 .010020 .05 + 0. 30 0 .000 .020 .030 .040 .030 .02 + 0. 40 0 .000 .030 .050 060 .060 .060 .05 1. 0 0 .000 .040 080 110 .130 .140 .15 1. 20 0 .000 .060 .110 .160 .190 220 24 1. 40 0 .000 .080 150 210 260 300 34 2. 0 0 .000 .090 .180 260 330 390 .44 2. 20 0 .000 .110 210 300 390 470 .54 2. 40 0 .000 130 .240 .350 .460 .550 .63 3. 0 0 .000 .140 280 .400 .520 .630 .73 3. 30 0 000 .170 .330 .480 .620 .750 .88 4. 0 0 .000 .190 370 550 720 871 .03 0 0 .000 .240 470 .700 .911 .121 .32 0 0 .000 290 .570 .841 .111 .371 61 ++ + 0' 10' 20 ('s Horiz. Semi. Diam. 16/ 50" 0" 10" 20" 30" 40" 50" + + + + + + ++ 30' 40' 50 GO' Find in P. 1. the two equations corresponding to the arguments at the top and connect them according to their signs. 0.16 0.14 0.120.10 0.08 0.06 0.04 0.02 0.00 0.02 0.04 0.06 0.09 0.11 With this sum or dif 0.32 0.28 0.24 0.20 0.16 0.12 0.08 0.04 0.00 0.04 0.08 0.130.17 0.21 ference take out the 0.48 0.42 0.36 0.30 0.24 0.18 0.12 0.06 0.00 0.06 0.13 0.19 0.26 0.32 corresponding correc4 0.640.56 0.42 0.41 0.33 0.25 0.16 0.08 0.00 0.08 0.17 0.25 0.34 0.43 tion P. II. In occulta0.80 0.70 0.61 0.51 0.41 0.31 0.21 0.10 0.00 0.10 0.21 0.32 0.43 0.53 tions the correction P. 0.96 0.840.730.61 0.49 0.37 0.25 0.12 0.00 0.13 0.25 0.38 0.51 0.64 III. is to be found with 1.120.98 0.850.71 0.57 0.43 0.29 0.15 0.00 0.15 0.29 0.44 0.60 0.75 the C's Par.in lat. at the 1.281.120.970.81 0.65 0.49 0.33 0.17 0.00 0.17 0.34 0.51 0.68 0.36 top and her true lat. at 1.44 1.26 1.09 0.91 0.73 0.550.37 0.190.00 0.19 0.38 0.57 0.77 0.96 the side, but in solar 1.60 1.41 1.21 1.01 0.82 0.62 0.41 0.21 0.00 0.21 0.42 0.63 0.85 1.07 Eclipses this p. is no1.761.551.33 1.120.90 0.68 0.45 0.23 0.00 0.23 0.46 0.70 0.94 1.18 three parts and with thing. Connect these 1.92 1.691.45 1.220.98 0.74 0.49 0.25 0.00 0.25 0.51 0.76 1.02 1.28 the sum enter the side 2.08 1.83 1.57 1.32 1.06 0.80 0.54 0.27 0.00 0.27 0.55 0.83 1.11 1.39 column of P. IV. and 2.241.37 1.70 1.421.14 0.86 0.58 0.29 0.00 0.29 0.59 0.89 1.191.50 find the 's Horiz. 2.402.11 1.82 1.52 1.22 0.920.62 0.31 0.00 0.31 0.63 0.951.281.60 Semi. Dia. at the top, 16 2.56 2.25 1.94 1.62 1.31 0.98 0.66 0.33 0.00 0.34 0.67 1.02 1.36 1 71 the corresponding cor. applied, with its sign to the sum of the three first parts will give the Aug. of the 's S. D. Thus in Ex. 1. Prob. 5. Appendix. The Alt. Nonag. is 2s. 7° 59. Dis. Nonag. (D.+P) 200 46', (S. D. by N. A. 16/ 27". 7. Hence Arg. P. 1. are 2s.7° 59′+20° 46′ that is 2s. 280 45 and 1s. 17° 13' to which correspond+8" 18+6.0114" 19. This gives in P. II.+0" 21. P. III. is 0. The sum of the three parts is +14". 4. with which and the (S. D. 16 27". 7. P.IV is nearly+0" 8. this connected with 14.4 gives the Aug. of ('s S. D. 15" 2. as in Prob. VI. Appendix. 8 9 10 11 12 13 14 15 Equation of Second Differences to be applied to the mean longitude or latitude with a sign contrary to that of the mean of the second differences. 0.0 12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1 4.5 4.3 0.0 0.0 0.10 11.50 0.4 0.8 1.2 1.6 2.1 2.5 2.9 3.3 3.7 0.2011.40 0.8 1.6 2.4 3.2 4.1 4.9 5.7 6.5 7.3 8.1 8.9 9.7 0.30 11.30 11.2 2.4 3.6 4.8 6.0 7.2 8.4 9.6 10.8 12.0 13.2 14.4 0.40 11.20 1.6 3.1 4.7 6.3 7.9 9.4 11.0 12.6 14.2 15.7 17.3 18.9 5.8 7.8 9.7 11.6 13.6 15.5 17.4 19.4 21.3 3.3 0.50 11.10 1.9 3.9 1. 011. 0 2.3 4.6 1.10 10.50 2.6 5.3 1.20 10.40 3.0 1.30 10.30 3.3 1.40 10.20 13.6 1.50 10.10 3.9 2.0 10. 0 4.2 2.10 9.50 4.4 2.20 9.40 4.7 2.50 9.10 6.9 9.2 11.5 13.7 16.0 18.3 20.6 22.9 25.2 7.5 7.9 10.5 13.2 15.8 18.4 21.1 23.7 26.3 29.0 316 5.9 8.9 11.9 14.8 17.8 20.7 23.7 26.7 29.6 32.6 35.6 6.6 9.8 13.116.4 19.7 23.0 26.2 29.5 32.3 36.1 39: 7.2 10.8 14.4 17.9 21.5 25.1 28.7 32.3 35.9 39.5 43.1 7.8 11.6 15.5 19.4 23.3 27.2 31.1 34.9 38.8 42.7 46.5 8.3 12.5 16.7 20.8 25.0 29.2 33.3 37.5 41.7 45.8 50.0 8.9 13.3 17.8 22.2 26.6 31.1 35.5 39.9 44.4 48.8 53.3 9.4 14.1 18.8 23.5 28.2 32.9 37.6 42.3 47.0 51.7 36.4 2.30 9.30 14.9 9.9 14.8 19.8 24.7 29.7 34.6 39.6 44.5 49.5 54.4 59.4 2.40 9.20 5.2 10.4 15.6 20.7 25.9 31.1 36.3 41.5 46.7 51.9 57.0 62. 5.4 10.8 16.2 21.6 27.1 32.5 37.9 43.3 48.7 54.1 59.5 64.3 3.0 9.0 5.6 11.2 16.9 22.5 28.1 33.7 39.4 45.0 50.6 56.2 61.9 675 3.10 8.50 5.8 11.7 17.5 23.3 29.1 35.0 40.8 46.6 52.4 58.3 64.1 69.9 3.20 8.40 6.0 12.0 18.1 24.1 30.1 36.1 42.1 48.1 54.2 60.2 66.2 7. 3.30 8.30 6.2 12.4 18.6 24.8 31.0 37.2 43.4 49.6 55.8 62.0 68.2 74.4 3.40 8.20 6.4 12.7 19.1 25.5 31.8 38.2 44.6 50.9 57.3 63.7 70.0 76.4 3.50 8.10 6.5 13.0 19.6 26.1 32.6 39.1 45.7 52.2 58.7 65.2 71.7 78.3 4. 0 8.0 6.7 13.3 20.0 26.7 33.3 40.0 46.7 53.3 60.0 66.7 73.3 $0. 4.20 7.40 6.9 13.8 20.8 27.7 34.6 41.5 48.4 55.4 62.3 69.2 76.1 83.1 4.40 7.20 7.1 14.3 21.4 28.5 35.6 42.8 49.9 57.0 64.2 71.3 78.4 95.6 5.0 7.0 7.3 14.6 21.9 29.2 36.5 43.7 51.0 58.3 65.6 72.9 80.2 87.5 5.20 6.40 7.4 14.8 22.2 29.6 37.0 44.4 51.9 59.3 66.7 74.1 81.5 88.9 5.40 6.20 7.5 15.0 22.4 29.9 37.4 44.9 52.3 59.8 67.3 74.8 82.2 89.7 6.0 6.0 17.5 15.0 22.5 30.0 37.5 145.0 52.5 60.0 67.5 75.0 (82.590.0 Second Difference. Ap. time after noon or midnight. 10" 20" 30" 40" 50 1# 2/1 3" 4/ 5" 6′′ 17′′ 18 19 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3 0.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.5 0.7 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.8 1.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.9 1.0 1.3 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 1.3 1.6 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 1.5 1.9 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 1.8 2.2 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 2.0 2.5 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 2.2 2.7 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 2.4 3.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.505 2.6 3.2 0.1 0.1 0.2 0.3 0.3 0.4 0.5 0.5 0.6 2.8 3.5 0.1 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 3.0 3.7 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.1 3.1 3.9 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 0.8 1.6 2.5 3.3 4.1 0.1 0.2 0.2 0.3 0.4 0.5 0.6 0.7 0.7 0.9 1.7 2.6 3.5 4.3 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.7 0 0.9 1.8 2.7 3.6 4.5 0.1 0.2 0.3 0.4 0.5 0.5 0.6 0.70% 0.9 1.9 2.8 3.7 4.7 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.7 01 3.10 8.50 1.0 1.9 2.9 3.9 4.9 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 3.20 8.40 4.0 5.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 2.1 3.1 4.1 5.2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 2.1 3.2 4.2 5.3 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 10 1.1 2.2 3.3 4.3 5.4 0.1 0.2 0.3 0.4 0.5 0.7 0.8 0.9 1.1 2.2 3.3 4.4 5.6 0.1 0.2 0.3 0.4 0.6 0.7 0.8 1.2 2.4 3.6 1.2 2.5 3.7 Mass. N. Hamp. Maine. [This Table contains the LATITUDES and LONGITUDES of the most remarkable Harbours, Islands, Shoals, Capes, &c. in the WORLD, founded on the latest and most accurate Astronomical observations, surveys and charts.] The Longitudes are reckoned from the meridian of Greenwich. I. COAST OF THE UNITED STATES OF Light houses on Baker's Lat. Long. D. M. D. M. 42 34N 70 47W AMERICA. Lat. Long. Island M. ENTRANCE of St. Croix River Island of Campo-Bello (middle or West pas sage of Passamaquoddy Bay) Wolves' Islands 45 4 66 41 BOSTON CAMBRIDGE (Mass) 42 23 71 8 Scituate light 42 11 70 41 Plymouth lights Race Point light CAPE COD light Chatham light Sandy Point or Malabar 41 Shoal of George, Long-Island (south of Great Shoal S. E. P. 141 34 Mount Desert or en trance of Blue-Hill do. North Shoal do. Third Shoal do. East Shoal (True lat. by Blunt.) 67 40 67 59 67 47 41 5367 43 41 51 67 26 41 4767 19 house 41 23 70 00 Island of Manheigin Penmaquid Point Kennebeck River D. M. D. M. Muskito or N. Smyrna 76 18 entrance 28 52N 80 56W 76 34 Cape Canaveral 28 18 80 33 77 44 Outer breakers off do. 28 20 80 13 76 38 Las Tortolas or Hum 77 44 27 35 90 30 76 37 P. 27 31 SO 19 77 4 27 16 80 13 77 2 Grenville's Inlet 26 47 80 BALTIMORE 39 23 76 39 Cooper's Hill 26 42 80 Roanoke Inlet 35 50 75 35 Sand Hills 26 32 180 CAPE HATTERAS 35 14 75 30 New Inlet 26 17 180 6 Extreme shoal off do. .35 3 75 23 Middle River entrance 26 7 80 7 Deep soundings off do. 34 56 75 9 CAPE FLORIDA .25 42 80 9 Ocracock Inlet 35 1 75 59 Aliol, N. P. 25 20 90 20 Cedar Inlet 34 47 76 22 Cuyo Largo or Long CAPE LOOKOUT 34 34 76 37 Key, N. E. P. Extreme shoal off do. 34 21 76 32 S. E. P. 24 52 80 34 Deep soundings off do. 34 7 76 12 Sombrero or Hat Key 24 32 81 23 Old Topsail Inlet 34 39 76 46 Looe Key 24 28 81 37 Beaufort (N. C.) Swansborough Bear inlet 134 42 76 46 34 41 76 51 34 38 77 14 34 41 77 17 34 36 77 21 New River Inlet 34 34 77 30 Stump Inlet 34 31 77 37 New Topsail Inlet 34 27 77 44 Sandy Inlet 34 19 77 55 Deep Inlet 34 14 73 00 WILMINGTON 34 17 78 10 Sand Key or C. Arena 24 21 C. Florida - N. E. do. S. E. do. - S. W. do. Key Marquis Boca Grande or Great 81 59 24 20 82 31 24 34 124 37 83 82 45 24 33 82 45 24 25 83 00 Brunswick Smithville 34 3 78 10 Mouth 24 30 82 13 -24 32 62 11 33 54 78 13 Key Samba 24 35 91 53 New Inlet 33 57 78 6 Island of Pines 24 42 S1 41 CAPE FEAR 33 48 78 9 Keys of Bay Honda 24 44 81 29 Extreme shoal off do. .33 36 Deep soundings off do. 33 11 77 47 Key Vacas 24 41 81 17 77 26 Key Agi Lockwood's Folly Inlet 33 53 78 25 Shallot 33 51 78 39 Little River Inlet 33 50 78 49 GEORGETOWN 133 25 79.00 Ditto light 33 13 79 55 Shoals off do. 33 8 78 42 Cape Roman 33 2 79 6 CHARLESTON 32 46 79 48 Charleston light-house .32 40 79 40 North Eddisto Inlet 32 30 79 59 West Coast of Florida. South Eddisto Inlet 32 28 80 7 BEAUFORT (S. C.) 32 28 80 33 Port Royal entrance 32 8 80 27 Tybee light 32 00 80 49 SAVANNAH 32 2 St. Catherine's Sound .31 37 81 13 St. Simon's Sound Brunswick (Geo.) 31 1 81 36 31 10 Amelia Sound (entrance of St. Mary's river) .30 44 Cumberland Isl. (S. P.)|30 43 81 43 81 35 melia Island (S. P.) .30 28 81 36 River Nassau entrance 30 28 81 35 River St. John entrance 30 21 81 35 St. Augustine 29 51 81 28 I. del Cuerpo Island Anastasia, N. P. 29 51 81 23 SP. .129 37 181 17 S. P. St. George's Key, S. P. 29 30 85 18 Bay St. Andres (E.point Mobile Point MOBILE Massacre Island Candelarius, N. P. 30 21 86 43 30 19 (37 31 30 24 87 27 30 18 87 46 30 13 88 21 30 40 98 30 12 88 30 12 89 49 29 59 88 57 29 28 189 19 24 48 81 16 26 00 81 51 26 41 82 10 .28 42 83 29 36 85 35 |