19 00 04 023810 00 37 204211 00 11 3046 29 01 03 103810 01 36 294211 01 10 3846 39 02 02 193810 02 35 374211 02 09 4746 49 03 01 27 3810 03 34 45 4211 03 08 5546 59 04 00 353810 04 33 544211 04 08 0346 69 04 59 44 38 10 05 33 024211 05 07 1247 7905 58 523810 06 32 104311 06 06 2047 89 06 58 03810 07 31 194311 07 05 28+7 99 07 57 083910 08 30 274311 08 04 3747 10 9 08 56 173910 09 29 354311 09 03 45 47 119 09 55 253910 10 28 444311 10 02 5347 12 9 10 54 343910 11 27 5243 11 11 02 0247 I3| 9 II 53 4239|IO I2 27 OC+3 II I2 OI Io48 14 9 12 52 503910 13 26 094411 13 00 1848 15 9 13 51 5939 10. 14 25 1744 11 13 59 2748

16 9 14 51 074010 15 24 25 4411 14 58 3548 17 9 15 50 154010 16 23 344411 15 57 4348 18 9. 16 49 244010 17 22 42 44 11 16 56 5248 19 9 17 48-324010 18 21 504411 17 56 0048 20 9 18 47 404010 19 20 594411 18 55 0848

219 19 46 49 40 10 20 20 0744 11 19 54 1749 22 9 20 45 574010 21 19 1545 11 20 53 2549 23 9 21 45 054110 22 18 21 52 3349 24 9 22 44 144110 23 17 3245 11 22 51 4249

25 9.23 43 2241 10 24 16

24 45 11

4045 11

23 50 5049

A TABLE of the Equation of the M. Motions.

561 39 281 56 20
40 281

Is cr 58b 58 39 20 03 571 00 211 30 05 561 02 031 07 551 03 431 50 09 541 05 221

60 11 531 07 001 70 13 511 08 371 85 15 481 10 131 90 17 461 11 48 100 19 441 13 221

110 21 401 14 531 120 23 361 16 241 130 25 331 17 531 140 27 291 19 221 150 29 241 20 491

56 20I
41 271 56 201
56 171

42 241
43 211 56 131
44 151 56 041

40

110

28

41 340 59 02
ÁO 330 57 1429
39 300 55
38 260 53 3727
37 200 51 4726
36 110 49 5525

35 010 48 0324
33 490 46 1023
32 360 44 1622
31 200 42 2121
30 030 40 2620
-1-
28 450 38 3019
27 250 36 3218
26 030 34 3417
24 390 32 3616
22 140 30 3615

26 37131

52 071 52 191 21 470 28 3714
52 381 51 461 20 19
53 c81 51 111 18 48
53 351 50 351 17 170
54 CO1 49 561 15 44

24 3612

22 3411

20 3210

18 30 9

12 340

16 28 8

160 31 191 22 14 170 33 131 23 381 180 35 071 25 Oct 190 37 011 26 22 200 38 541 27 421 210 40 441 28 581 54 231 49 141 14 IC 220 42 351 30 041 54 441 48 321 23 44 251 31 291 55 C31 47 471 10 570 14 26 7 240 46 161 32 421 55 211 46 591 09 190 12 22 6 25 48 051 33 5+1 55 351 46 101 07 390 10 19 5 26 49 521 35 031 55 481 45 201 05 580 08 16 4 270 51 401 36 121 55 591 44 261 04 160 06 12 3 28 53 261 37 191 56 091 43 311 02 220 04 08 2

55 111 38 241 56 151 42 341 00 480 02 04 1 56 561 39 281 56 201 41 350 59 030 00 00 0

PROBLEM I.

Shewing the Ufe of the preceeding Tables in finding the Sun's Place in the Ecliptic for any given Moment of Time.

Practice.

Let it be required to find the Place of the Sun for An. Dom. 1735, April the Second, at three Hours, twenty-five Minutes, and forty-feven Seconds after Noon. To do this, obferve the following Precepts; viz.

1. Obferve, That every Day begins at its own Noon, and that the Roots of the Mean Motions in the Tables are calculated for the Meridian of London, and fitted to the Noon of the Day immediately foregoing the first of January.

2. In every Biffextile (or Leap) Year, after February, one Day with its Motions must be added to the Time given.

3. As to the Tables, or Motions themselves, those which stand firft, are calculated for a whole Century, viz. from the Year 1701 to the Year 1801, by fix Epoche or Radical Years, which are diftant from each other juft twenty Years, which immediately follow the Radical Years; and these are called the Intermediate or Current Years.

4. The Motions are of the Sun (or Earth properly) and its Perihelion; and when this Latter is fubftracted from the Former, the Remainder is called the Mean Anomaly; to this Mean Anomaly in the Table of the Equation of the Mean Motions, there corref ponds a Number of Degrees, Minutes, and Seconds, and is called the Equation, because when added or fubftracted to, or from, the Sun's Mean Motion, it

gives the true or equated Place of the Sun in its C.bit.

5. Thefe Things premifed, the Manner of folving this. Problem will be as hereunder fet down..

OI 2 3 4 5 6 7 8 9 ΙΟ II.
r ŏ IS a my am I m H.
N
W

Whence the true Place of the Sun for the given Time is in the Sign Aries Y, the 24th Degree of that Sign, the 12th Minute of that Degree, and the 20th Second of that Minute.

That every Thing may be clear and plain, I fhallfubjoin an Example of finding the Sun's Place on the 25th Day of November, in the Year of our Lord 1800, precifely at Noon; that Year being a Biffextile or Leap Year.

Hence on that Account, inftead of the 25th Day, we must take the Motion of the 26th Day of that Month, and then the Work will ftand as below.

A. D.