Astronomy Explained Upon Sir Isaac Newton's Principles / And made easy to those who have not studied mathematics - James Ferguson

Sun’s Ano.	Subtract						Sun’s Ano.
	0	1	2	3	4	5
	S.	S.	S.	S.	S.	S.
°	ʹ	ʹ	ʹ	ʹ	ʹ	ʹ	°
0	0	5	8	10	8	5	30
1	0	5	8	10	8	5	29
2	0	5	8	10	8	5	28
3	0	5	8	10	8	4	27
4	1	5	8	10	8	4	26
5	1	5	8	10	8	4	25
6	1	6	9	10	8	4	24
7	1	6	9	9	8	4	23
8	1	6	9	9	8	4	22
9	1	6	9	9	7	3	21
10	2	6	9	9	7	3	20
11	2	6	9	9	7	3	19
12	2	6	9	9	7	3	18
13	2	6	9	9	7	3	17
14	2	7	9	9	7	3	16
15	2	7	9	9	7	3	15
16	2	7	9	9	7	2	14
17	3	7	9	9	7	2	13
18	3	7	9	9	6	2	12
19	3	7	9	9	6	2	11
20	3	7	9	9	6	2	10
21	3	7	9	9	6	2	9
22	4	7	9	9	6	1	8
23	4	8	9	9	6	1	7
24	4	8	9	9	6	1	6
25	4	8	9	9	6	1	5
26	4	8	10	9	5	1	4
27	4	8	10	9	5	1	3
28	4	8	10	8	5	0	2
29	5	8	10	8	5	0	1
30	5	8	10	8	5	0	0
Sun’s Ano.	11	10	9	8	7	6	Sun’s Ano.
	S.	S.	S.	S.	S.	S.
	Add

The above titles, Add and Subtract, are right when the Equation is applied to the Sun’s mean distance from the Node; but when it is applied to the mean place of the Node, the titles must be changed.

Tab. XIV. The Moon’s latitude in Eclipses.

Argument of Latit.
Moon fr. the Node.	Sig. 0 N. A.
Moon fr. the Node.	Sig. 6 S. D.
°	°	ʹ	ʺ	°
0	0	0	0	30
1	0	5	15	29
2	0	10	30	28
3	0	15	44	27
4	0	20	59	26
5	0	26	13	25
6	0	31	26	24
7	0	36	39	23
8	0	41	51	22
9	0	47	2	21
10	0	52	13	20
11	0	57	23	19
12	1	2	31	18
13	1	7	38	17
14	1	12	44	16
15	1	17	49	15
16	1	22	52	14
17	1	27	53	13
18	1	32	54	12
N. D. Sig. 5				Moon fr. the Node.
S. A. Sig. 11				Moon fr. the Node.
Argument of Latit.

This Table extends no farther than the limits of Eclipses. N. A. signifies North Ascending Lat. S. A. South Ascending; N. D. North Descending; and S. D. South Descending.

Table XV. The Moons Horizontal Parallax; the Semidiameters and true Horary motions of the Sun and Moon.

Anomaly of the Sun and Moon.		Moon’s Horizontal Parallax.		Sun’s Semidiameter.		Moon’s Semidiamet.		Moon’s horary Mot.		Sun’s horary Mot.		Anomaly of the Sun and Moon.
^s	°	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	^s	°
0	0	54	59	15	50	14	54	30	10	2	23	12	0
	6	54	59	15	50	14	55	30	12	2	23		24
	12	55	0	15	50	14	56	30	15	2	23		18
	18	55	4	15	51	14	57	30	18	2	23		12
	24	55	11	15	51	14	58	30	26	2	23		6
1	0	55	20	15	52	14	59	30	34	2	23	11	0
	6	55	30	15	53	15	1	30	44	2	24		24
	12	55	40	13	54	15	4	30	55	2	24		18
	18	55	51	15	55	15	8	31	9	2	24		12
	24	56	0	15	56	15	12	31	23	2	25		6
2	0	56	11	15	58	15	17	31	40	2	25	10	0
	6	56	24	15	59	15	22	31	58	2	26		24
	12	56	41	16	1	15	26	32	17	2	27		18
	18	57	12	16	2	15	30	32	39	2	27		12
	24	57	30	16	4	15	36	33	11	2	28		6
3	0	57	49	16	6	15	41	33	23	2	28	9	0
	6	58	10	16	8	15	46	33	47	2	29		24
	12	58	31	16	9	15	52	34	11	2	29		18
	18	58	52	16	11	15	58	34	34	2	29		12
	24	59	11	16	13	16	3	34	58	2	30		6
4	0	59	30	16	14	16	9	35	22	2	30	8	0
	6	59	52	16	15	16	14	35	45	2	31		24
	12	60	9	16	17	16	19	36	0	2	31		18
	18	60	26	16	19	16	24	36	20	2	32		12
	24	60	40	16	20	16	28	36	40	2	32		6
5	0	60	54	16	21	16	31	37	0	2	32	7	0
	6	61	4	16	21	16	34	37	10	2	33		24
	12	61	11	16	22	16	37	37	19	2	33		18
	18	61	16	16	22	16	38	37	28	2	33		12
	24	61	20	16	23	16	39	37	36	2	33		6
6	0	61	24	16	23	16	39	37	40	2	33	6	0

The gradual increase or decrease of the above numbers being so small, it is sufficient to have them to every sixth degree; the proportions for the intermediate degrees being easily made by sight.

Table XVI. The Sun’s mean Motion and Anomaly.

	Years of Christ beginning	^s	°	ʹ	ʺ	^s	°	ʹ
	Years of Christ beginning	Sun’s mean Longitude from Aries.				Sun’s mean Anomaly.
O.S.	1	9	7	53	10	6	29	54
	1301	9	17	42	30	6	16	58
	1401	9	18	27	50	6	15	59
	1501	9	19	13	10	6	14	59
	1601	9	19	58	30	6	13	59
	1701	9	20	43	50	6	12	59
N.S.	1753	9	10	16	52	6	1	38
N.S.	1801	9	9	39	39	6	0	10
Old Style to the beginning of A. D. 1753; then New Style	Years of Christ compleat	Sun’s mean Motion.				Sun’s mean Anomaly.
Old Style to the beginning of A. D. 1753; then New Style	Years of Christ compleat	^s	°	ʹ	ʺ	^s	°	ʹ
	1	11	29	45	40	11	29	45
	2	11	29	31	20	11	29	29
	3	11	29	17	0	11	29	14
	4	0	0	1	49	11	29	58
	5	11	29	47	29	11	29	42
	6	11	29	33	9	11	29	27
	7	11	29	18	49	11	29	11
	8	0	0	3	38	11	29	55
	9	11	29	49	18	11	29	40
	10	11	29	34	58	11	29	24
	11	11	29	20	38	11	29	9
	12	0	0	5	26	11	29	53
	13	11	29	51	7	11	29	37
	14	11	29	36	47	11	29	22
	15	11	29	22	27	11	29	7
	16	0	0	7	15	11	29	50
	17	11	29	52	55	11	29	35
	18	11	29	38	35	11	29	20
	19	11	29	24	16	11	29	4
	20	0	0	9	4	11	29	48
	40	0	0	18	8	11	29	36
	60	0	0	27	12	11	29	24
	80	0	0	36	16	11	29	12
	100	0	0	45	20	11	29	0
	200	0	1	30	40	11	28	1
	300	0	2	16	0	11	27	1
	400	0	3	1	20	11	26	1
	500	0	3	46	40	11	25	2
	600	0	4	32	0	11	24	2
	700	0	5	17	20	11	23	2
	800	0	6	2	40	11	22	3
	900	0	6	48	0	11	21	3
	1000	0	7	33	20	11	20	3
	2000	0	15	6	40	11	10	7
	3000	0	22	40	0	11	0	10
	4000	1	0	13	20	10	20	13
	5000	1	7	46	40	10	10	16
	6000	1	15	20	0	10	0	19
	Months	Sun’s mean Motion.				Sun’s mean Anomaly.
	Months	^s	°	ʹ	ʺ	^s	°	ʹ
	Jan.	0	0	0	0	0	0	0
	Feb.	1	0	33	18	1	0	33
	Mar.	1	28	9	11	1	28	9
	Apr.	2	28	42	30	2	28	42
	May.	3	28	16	40	3	28	17
	June	4	28	49	58	4	28	50
	July	5	28	24	8	5	28	24
	Aug.	6	28	57	26	6	28	57
	Sep.	7	29	30	44	7	29	30
	Oct.	8	29	4	54	8	29	4
	Nov.	9	29	38	12	9	29	37
	Dec.	10	29	12	22	10	29	11

Anomaly of the Sun and Moon.		Moon’s Horizontal Parallax.		Sun’s Semidiameter.		Moon’s Semidiamet.		Moon’s horary Mot.		Sun’s horary Mot.		Anomaly of the Sun and Moon.
^s	°	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	^s	°
0	0	54	59	15	50	14	54	30	10	2	23	12	0
	6	54	59	15	50	14	55	30	12	2	23		24
	12	55	0	15	50	14	56	30	15	2	23		18
	18	55	4	15	51	14	57	30	18	2	23		12
	24	55	11	15	51	14	58	30	26	2	23		6
1	0	55	20	15	52	14	59	30	34	2	23	11	0
	6	55	30	15	53	15	1	30	44	2	24		24
	12	55	40	13	54	15	4	30	55	2	24		18
	18	55	51	15	55	15	8	31	9	2	24		12
	24	56	0	15	56	15	12	31	23	2	25		6
2	0	56	11	15	58	15	17	31	40	2	25	10	0
	6	56	24	15	59	15	22	31	58	2	26		24
	12	56	41	16	1	15	26	32	17	2	27		18
	18	57	12	16	2	15	30	32	39	2	27		12
	24	57	30	16	4	15	36	33	11	2	28		6
3	0	57	49	16	6	15	41	33	23	2	28	9	0
	6	58	10	16	8	15	46	33	47	2	29		24
	12	58	31	16	9	15	52	34	11	2	29		18
	18	58	52	16	11	15	58	34	34	2	29		12
	24	59	11	16	13	16	3	34	58	2	30		6
4	0	59	30	16	14	16	9	35	22	2	30	8	0
	6	59	52	16	15	16	14	35	45	2	31		24
	12	60	9	16	17	16	19	36	0	2	31		18
	18	60	26	16	19	16	24	36	20	2	32		12
	24	60	40	16	20	16	28	36	40	2	32		6
5	0	60	54	16	21	16	31	37	0	2	32	7	0
	6	61	4	16	21	16	34	37	10	2	33		24
	12	61	11	16	22	16	37	37	19	2	33		18
	18	61	16	16	22	16	38	37	28	2	33		12
	24	61	20	16	23	16	39	37	36	2	33		6
6	0	61	24	16	23	16	39	37	40	2	33	6	0

Anomaly of the Sun and Moon.		Moon’s Horizontal Parallax.		Sun’s Semidiameter.		Moon’s Semidiamet.		Moon’s horary Mot.		Sun’s horary Mot.		Anomaly of the Sun and Moon.
^s	°	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	^s	°
0	0	54	59	15	50	14	54	30	10	2	23	12	0
	6	54	59	15	50	14	55	30	12	2	23		24
	12	55	0	15	50	14	56	30	15	2	23		18
	18	55	4	15	51	14	57	30	18	2	23		12
	24	55	11	15	51	14	58	30	26	2	23		6
1	0	55	20	15	52	14	59	30	34	2	23	11	0
	6	55	30	15	53	15	1	30	44	2	24		24
	12	55	40	13	54	15	4	30	55	2	24		18
	18	55	51	15	55	15	8	31	9	2	24		12
	24	56	0	15	56	15	12	31	23	2	25		6
2	0	56	11	15	58	15	17	31	40	2	25	10	0
	6	56	24	15	59	15	22	31	58	2	26		24
	12	56	41	16	1	15	26	32	17	2	27		18
	18	57	12	16	2	15	30	32	39	2	27		12
	24	57	30	16	4	15	36	33	11	2	28		6
3	0	57	49	16	6	15	41	33	23	2	28	9	0
	6	58	10	16	8	15	46	33	47	2	29		24
	12	58	31	16	9	15	52	34	11	2	29		18
	18	58	52	16	11	15	58	34	34	2	29		12
	24	59	11	16	13	16	3	34	58	2	30		6
4	0	59	30	16	14	16	9	35	22	2	30	8	0
	6	59	52	16	15	16	14	35	45	2	31		24
	12	60	9	16	17	16	19	36	0	2	31		18
	18	60	26	16	19	16	24	36	20	2	32		12
	24	60	40	16	20	16	28	36	40	2	32		6
5	0	60	54	16	21	16	31	37	0	2	32	7	0
	6	61	4	16	21	16	34	37	10	2	33		24
	12	61	11	16	22	16	37	37	19	2	33		18
	18	61	16	16	22	16	38	37	28	2	33		12
	24	61	20	16	23	16	39	37	36	2	33		6
6	0	61	24	16	23	16	39	37	40	2	33	6	0

Anomaly of the Sun and Moon.		Moon’s Horizontal Parallax.		Sun’s Semidiameter.		Moon’s Semidiamet.		Moon’s horary Mot.		Sun’s horary Mot.		Anomaly of the Sun and Moon.
^s	°	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	ʹ	ʺ	^s	°
0	0	54	59	15	50	14	54	30	10	2	23	12	0
	6	54	59	15	50	14	55	30	12	2	23		24
	12	55	0	15	50	14	56	30	15	2	23		18
	18	55	4	15	51	14	57	30	18	2	23		12
	24	55	11	15	51	14	58	30	26	2	23		6
1	0	55	20	15	52	14	59	30	34	2	23	11	0
	6	55	30	15	53	15	1	30	44	2	24		24
	12	55	40	13	54	15	4	30	55	2	24		18
	18	55	51	15	55	15	8	31	9	2	24		12
	24	56	0	15	56	15	12	31	23	2	25		6
2	0	56	11	15	58	15	17	31	40	2	25	10	0
	6	56	24	15	59	15	22	31	58	2	26		24
	12	56	41	16	1	15	26	32	17	2	27		18
	18	57	12	16	2	15	30	32	39	2	27		12
	24	57	30	16	4	15	36	33	11	2	28		6
3	0	57	49	16	6	15	41	33	23	2	28	9	0
	6	58	10	16	8	15	46	33	47	2	29		24
	12	58	31	16	9	15	52	34	11	2	29		18
	18	58	52	16	11	15	58	34	34	2	29		12
	24	59	11	16	13	16	3	34	58	2	30		6
4	0	59	30	16	14	16	9	35	22	2	30	8	0
	6	59	52	16	15	16	14	35	45	2	31		24
	12	60	9	16	17	16	19	36	0	2	31		18
	18	60	26	16	19	16	24	36	20	2	32		12
	24	60	40	16	20	16	28	36	40	2	32		6
5	0	60	54	16	21	16	31	37	0	2	32	7	0
	6	61	4	16	21	16	34	37	10	2	33		24
	12	61	11	16	22	16	37	37	19	2	33		18
	18	61	16	16	22	16	38	37	28	2	33		12
	24	61	20	16	23	16	39	37	36	2	33		6
6	0	61	24	16	23	16	39	37	40	2	33	6	0