ANCILLA MATHEMATICA.

V EL,

Trigonometria Practica.

SECTION IV.

OF

ASTRONOMY.

ADVERTISEMEN T..

W .

Hereas, for the resolving of the following Astronomical Fig.

Problems by Trigonometrical Calculation, it is absolutely XXVII. . necessary, that the true Place (or Longitude) of the Sun in the Écliptick be first known; I have therefore inserted Astronomical Tables of the Sun's Mean Longitude and Anomaly in Years, Months, Days and Hours; and alfo of Æquation, whereby the Sun's true ... Place in the Ecliptick may be found at any time. It is also to be noted, That the several Problems in this Section, being wrought first by the Cælestial Globe, in order to their Trigonometrical Čalculation ; I have, therefore, to inform the Fancy, and ease the .: Memory, of the Reader in all the Schemes relating to them, (which confift of Great Circles of the Sphere, and represent the Triangle to the Eye, which the Problem is to be resolved by) noted the Circles, Lines and Points, in all the Schemes, with the fame Letters or Characters; and prefixed Them, and their Signifi

; cations, next before the Problems.

TABLE

Fig. XXVII.

TABLE I.

1 The Sun's Mean Motion in Years.

Days in

Days in

Longir. O

3211 311 30

29

non

540 6

2711

זול

251 2511 24/7

IT 12:23

TABLE II.
The Sun's Mean Motion in Months and Days.
JANUARY

FEBRUARY.
Tears. Longit. O
Longit. o 1 Anom. O

Tears.

Anom. O ) Com. Bil S. D. M.S. D. M. Com. Bif.S.D. MS. D. M. ] O 5910 O 59

I OI I 321 1 32 2 I 580 I

53

2
I 2

2 31 3 2 570 2 57

3 21 3

3 31 41 3 560 3

56
41 31 4

4 30 51 4 560

4
56
5

5
25|I

5.
510 5 550 5 55

SI 6 2+1 6 28 6 6 54

60 7

7 27 70 7 5310 7 53

SI

8
261 8

26 19 810 8

5210

8
52
81 9

9 25 10 910 9 5110 9 51

10 91 10

10 24 II job JO Solo 10 50

II
IOI
IL

24 12 II 5000 11 50

I2 III 12 23

I
13
12

12
49

12/1 13 221 13 22 13 47

14

21I 14 2 1 151 1410 14 4710

14 471

IS
14/1 15

201

15 16 150 15.400 15

15 46

161
151 16

16 19 17!

450 16
45
17 160 17

17

18 18 1710 17

17 440
440 17 44)

18 ISI : 18 18 19

18
440 18
43

19
181 19

1711 :19 17 201 19 0.19 4210 19:43

20 191

161 20

16 20 20 42 21 2011 21

151 21

15 22 2115

21
4110 21
41)

22
211

22 14 23

22
4CO 22 40

23
2211

13 23 13 232 23 390 23 - 39

24

24 13 24 -25) 24 2810 24 38

251 2011 25 121

25:12 26 2510 25 380 25 37

261
251
26

II 26 II 27 2610 26

370 26
26 37 271 261 27

ICI
27

10 28 270 27 360 27 351 28

2711

28

9 35 29 28129. &

8

29. 30 2515...29

3419 29 34 354 3011 0 331 331

ile

120 141 131 13

13

4910 480

14)

131

20

1911 IGI

TABLE II.

62 62

mt

42
52

612

6

6: 3613

mmmmmmmm Nott

ao

1

The Sun's Mean Motion in Months and Days.
March.

April.
Longit. ol snom. O

Longit. | Anom. O Com. Bil.S. D. M.S. D. M. Com. / Bif.S. D.

Mls. D. M.
CI 29

811
29 8

I
013 29

422

29 41 2 112 o 71

7.

2 13 O, 413 o 40 2 212 1 I 6 31: 23 I 403

40 312 2

2 41

6

4 33 2 3513 2 39 5 3 512 3 5

5 413 3

283 3 38 4 412 4 4

6

513 4 373 4 37 71 5 32 5 3

7 63

3013

5 36 8 712

22
6 2

81
73

6 35 91 82 7 1 2 7 Gl: 813 7 353

7 34 TOL 92 8 012

8

10
913
8 3413

8

34 ID: : 102 9

8
02
59

11 103 9 3313 9 33 I 2 I 12 9 592

12. Il 3

10
323

10 32 13 122 10 582 IO

12.

II 313, 11 31 14 132

II
IL 5712 571

| 1313

I 2 : 303. 1230 1412 12

12 56

IS
1413
13

13 29 16 13 552 13 55

16
153

14 293 14 28

; 17 162 14 5412, 14 54

17 163 15, 2813 15 27 15 : 5412 15 53

1713

16

27 19 182 16 - 5312

19
17, 2613

26 201 192 17 522 17 52

20 1913

18
2513

18

25 21 18 5112

18
51
2'I

19 24? 19 24 221

19
502
19 509

22

20 2313 20 23 23 20

20
49
23 223

21

2313 21 22 241 4812 21 48 24 233 22

22 21 251

22
492
25 243 23 2113 - 23

21 252 23

23 46

261 253

24 2013 24" 20 27 26/2 24 462 24 46 27

263 25

25. 19 28 2712 25 452 25 45

28

273 26 18 3 26 18 29 2812

292813

28 3. 27: 1713 27 17 30 2912 27 432 27 43

30

173

16 31 3012 28° 42'2

958

58

TABLE II.

03

1613

014

1514 1414

214

1214

614

114 ICH 10 t slt

6 43

814

42

O

8 4115

94 104 1114 124

614

1015 ills 125

IC 1! 1:

The Sun's Mean Morion in Months and Days.
Μ Α Υ.

FUN E.
Longit. 0. Anom. O

Longit. O Anom. O
Com.! Bif.S. D. M.S. D. M. Com. Bil.15. D.

D. M.S.
M.S. D.

D. N.
I
29
29 15

I

29 4914 29 49 2 1/4 O O 14

21 15 0485 o 48 3 1 I 14

3) 215 1 475 I 47
4 34
2 131+
2 13

41
215 2 405

2

46 414 3

3 12

5 415 3 4015 3 45
6 54
4

4
II

515 4 455 4 44
7
5
5 10

615 5 445 5 43 8 74 6

6 9

81 715 6 435
91
7
7 8

91 815 7 425 7
JO

8 ६
1+
8 8
JO 915

8 41
II
9 714 9 7

II

9 405 9 40!
12
10
10 6

I 2
10 405

IO 39
13
II 5!4 II 5

13

II 395 II 38 134 I 2 414 I 2 4

14

12 385 I 2 37 15 1414 13 13 3 15 1415 13 375

13 36 16 154

14 2
16 1515 14 305 14

14 36
17 16
4 15

2
4 15 2

165 15 355 15 35
1
+
16 I

175 16 345 16
19

17 С
t 17

1815 17 335 17 33 20 1914 17 5914 17 59

20 1915

18

32 21 18 5814 18 58

21

2015 19 325 19 31
22
214
19 5814 19 57

22
2115

20: 315 20 30
23
20 5714 20 56

21 395 21

29 24 2314 21

21
55
241
22 2915

22 28
251
24/4. 22
5514 22 55

25
2415

23 2815 23 28 26 2514 23 544 23 54

26 2515 24 285 24 27 27. 264 24 5314 24 53

27 2615

25 27 5 25 27/4 25 524 25 52! 28

275 26 265 26 25 291 284 26 514 26 51 29

27 2515 27 24 30 2914 27 5114 27 50

30 295

28 2415 28 24 31' 30'4 28 504

311 3015

29 2315 29 23 G g 2