15 23 16 23 16 15 10 15 24 10 171610 16 23 10 1817 10 17 23 10 17 22 19 1810 18 22 10 18 21 20 1910 19 2110 19 20 21 20 10 20 20 10 20 19 222110 21 1910 21 18 232210 22 18 10 22 17 2423 10 23 19 10 23 16 252410 24 17 10 24 16 2625 10 25 1610 25 15 2726 10 26 15 10 26 14 282 27 10 27 14 10 27 13 29 28 10 28 13 10 28 12 3029 10 29 12 10 29 11 313011 O IIII O 10 3 211 2 1011 2 9 3 911 3 8 811 4 7 711 5 6 611 6 5443 511 7 4 511 8 4 9 3 9 4 311 10 211 11 III 12 27 O 10 911 111011 10 12 IIII II 131211 12 141311 13 011 12 59 151411 14 011 13-58 16 15 11 14 5811 14 57 171611 15 5811 15 57 181711 16 5711 16 56 191811 17 5611 17 55 20 19 11 18 5511 18 54 Mi. Mi. 1 2 2 2 5 5 3! 234 7 7 4 10 10 5 12 12 6 15 15 7 17 17 8 20 20 9 221 22 10 25 25 11 27 27 12 30 30 13 32 32 14 34 34 15 37 37 16 39 39 17 42 42 18 44 44 19 47 47 20 49 49 21 52 52 25 48 22 54 54 26 47 23 57 57 29 28 11 27 4711 27 46 24 59 59 3029 11 28 4611 28 45 313011 29 46 11 29 45 TABLE TABLE IV. A Table of the Sun's Equation. Sign o. Sign 1. Sign 2. | Sign 3. | Sign 4. | Sign 5. E. Subf.E. Subf. E. Subj.E. Subf. E. Subf. E. Subf A. Add. E. Add. Æ. Add. Æ Add. Æ. Add. Æ. Add |11 Sign. 10 Sign. 9 Sign. | 8Sign. 7 Sign. | 6 Sign, The T The Use of the Tables. O find the Sun's true Place in the Ecliptick at any time, by thefe Tables, this is the RULE. From the feveral Tables, collect the Years, Month, and Day of the Month, and alfo the odd Hours, if any be, and fet them down, one under another, with the refpective Longitudes and Anomalies anfwering thereto: Then add the feveral Longitudes and Anomalies together, and with the Sum of the Anomalies, enter (Table IV.) of Equations, which Equation, Add to, or Subftrait from, the Sum of the Longitudes, and the Sum or Remainder, fhall be the Sun's true Place in the Ecliptick for the time proposed. How Time is to be computed. 1. Any Day begins upon its own Noon; fo that the Fift Day of January, at 12 at Noon, is the common Term of the Old and New Years. Example. Let the true Place of the Sun in the Ecliptick be required, for the 16th Day of May, in the Year of our Lord 1703. at 5 in the Afternoon. Firft, Set down the Year 1703. then the Month and Day, May 16, and laftly, the Hours, 5, as is here due. Secondly, Look for Long. S. D. M. Anom. © S. D. M. Year 1703. 9 20 14 06 12 46 May, Day 19. | 4 14 03 04 12 02 Hour 12 12 1703. (in Table I.) a- O Mean Lon. 1 04 29 10 25.00 Fourthly, Look for 5 Hours (in Table III.) against which stands 12 Minutes, both for the Longit. and Anomal, both fet down, as you fee. Fifthly, Fifthly, Add all the Longitudes together, and they make 14 Sig. 04 Deg. 29 Min. (from which abate 12 Signs, and there remains only Two Signs.) Alfo Add the Anomalies together, and - they make 10 Sig. 25 Deg. oo Min. Sixthly, (in Table IV.) Look for 10 Signs at the Bottom of the Table, and 25 Deg. in the laft Column towards the Right Hand, fo against it, over 10 Signs, you shall find 1 Deg 6 Min. to be Added. Set them under the Mean Longitude, and add them to it, fo will the Sum be 2 Sig. 05 Deg. 35 Min. And that is the true Place of the Sun in the Ecliptick, which is 35 Deg. diftant from the Equinoctial Point r Aries. Note, that Signs O I 2 3 4 5 678 9 ΙΟ II 4 2 m 1 m ↑ vy | O Year 1720. D. M. S. 9 20 07 ་ Febr. Day 29 1 28 09 6 12 21 11 18 31 61 11 20 23 Longit. O 3 21 23 I 12 II 15 8 10 45 Pisces. Anom. O S. D. M. 10 04 32 Or 35 Anom. O In this Example, it being Leap-Year, I take the Day of the Month out of the Column that hath Bisex. at the Head of it. Note alfo, That if the Sum of the Sun's Anomalies be less than Six Signs, they will be found at the Head of the Equation Table, and the Degrees in the First Column towards the Left Hand, and the Equation must Longit. O In all the Problems in this Section, it is to be understood, That (in all the Spherical Schemes, or Figures following. P Æ Q F EC FF SAANZIN 8 Pole of the World. Equinoctial Circle, or Equator. Parallels (or fmaller Circles) of Declination of the Pole of the Ecliptick: Ecliptick. Parallels (or leffer Circles) of Altitude of the Vernal Interfection of the Ecliptick and Æ- Afcenfion Repre- Defcenfion of any Point of the Ecliptick.. fents Zenith. the но ZN Or Oc R Nadir. Horizon. Prime Vertical Circle, or Azimuth of Eaft and Eaft Pole of the Meridian: Or the Place Weft Right Angle.. Star. Sun. |