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

by James Ferguson

A TABLE shewing the Sun’s true Place, and Distance from his Apogee, for the second Year after Leap-year.
Days	July				August				September				October				November				December
	Sun’s Place.		Sun’s Anom.		Sun’s Place.		Sun’s Anom.		Sun’s Place.		Sun’s Anom.		Sun’s Place.		Sun’s Anom.		Sun’s Place.		Sun’s Anom.		Sun’s Place.		Sun’s Anom.
	D.	M.	S.	D.	D.	M.	S.	D.	D.	M.	S.	D.	D.	M.	S.	D.	D.	M.	S.	D.	D.	M.	S.	D.
1	9♋	24	0	0	8♌	59	1	0	8♍	51	2	1	8♎	10	3	1	9♏	0	4	2	9♐	18	5	1
2	10	21	0	1	9	57	1	1	9	49	2	2	9	9	3	2	10	0	4	3	10	19	5	2
3	11	18	0	2	10	54	1	2	10	47	2	3	10	8	3	3	11	0	4	4	11	20	5	3
4	12	15	0	3	11	52	1	3	11	45	2	4	11	8	3	4	12	1	4	5	12	21	5	4
5	13	13	0	4	12	49	1	4	12	43	2	5	12	7	3	5	13	1	4	6	13	22	5	5
6	14	10	0	5	13	47	1	5	13	42	2	6	13	6	3	6	14	1	4	7	14	23	5	6
7	15	7	0	6	14	44	1	6	14	40	2	7	14	6	3	7	15	2	4	8	15	24	5	7
8	16	4	0	7	15	42	1	7	15	39	2	8	15	5	3	8	16	2	4	9	16	25	5	8
9	17	1	0	8	16	39	1	8	16	37	2	9	16	4	3	9	17	2	4	10	17	26	5	9
10	17	59	0	8	17	37	1	9	17	35	2	10	17	4	3	10	18	3	4	11	18	27	5	10
11	18	56	0	9	18	35	1	10	18	34	2	11	18	3	3	11	19	3	4	12	19	28	5	11
12	19	53	0	10	19	32	1	11	19	32	2	12	19	3	3	12	20	4	4	13	20	29	5	12
13	20	50	0	11	20	30	1	12	20	31	2	13	20	2	3	13	21	4	4	14	21	30	5	13
14	21	47	0	12	21	28	1	13	21	29	2	14	21	2	3	14	22	5	4	15	22	31	5	14
15	22	45	0	13	22	25	1	14	22	28	2	15	22	2	3	15	23	5	4	16	23	32	5	15
16	23	42	0	14	23	23	1	15	23	27	2	16	23	1	3	16	24	6	4	17	24	33	5	16
17	24	39	0	15	24	21	1	16	24	25	2	17	24	1	3	17	25	7	4	18	25	34	5	17
18	25	36	0	16	25	19	1	17	25	24	2	18	25	1	3	18	26	7	4	19	26	35	5	18
19	26	34	0	17	26	17	1	18	26	23	2	19	26	0	3	19	27	8	4	20	27	36	5	19
20	27	31	0	18	27	14	1	19	27	21	2	20	27	0	3	20	28	9	4	21	28	38	5	20
21	28	28	0	19	28	12	1	20	28	20	2	21	28	0	3	21	29	9	4	22	29	39	5	21
22	29	26	0	20	29	10	1	21	29	19	2	22	29	0	3	22	♐	10	4	23	♑	40	5	22
23	♌	23	0	21	♍	8	1	22	♎	18	2	23	♏	0	3	23	1	11	4	24	1	41	5	23
24	1	20	0	22	1	6	1	23	1	17	2	24	1	0	3	24	2	12	4	25	2	42	5	24
25	2	18	0	23	2	4	1	24	2	16	2	25	2	0	3	25	3	12	4	26	3	44	5	25
26	3	15	0	24	3	2	1	25	3	15	2	26	3	0	3	26	4	13	4	27	4	45	5	26
27	4	12	0	25	4	0	1	26	4	14	2	27	4	0	3	27	5	14	4	28	5	46	5	27
28	5	10	0	26	4	58	1	27	5	13	2	28	5	0	3	28	6	15	4	29	6	47	5	28
29	6	7	0	27	5	56	1	28	6	12	2	29	6	0	3	29	7	16	4	29	7	48	5	29
30	7	5	0	28	6	54	1	29	7	11	3	0	7	0	4	0	8	17	5	0	8	49	6	0
31	8	2	0	29	7	52	2	0					8	0	4	1					9	51	6	1

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The Bissextile, or Leap-year.
Days	January			Dif.	February			Dif.	March			Dif.	April			Dif.	May			Dif.	June			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Inc.				Dec.				Dec.				Dec.				Inc.
1	12	4	0		12	14	5		12	12	36		12	3	48		11	56	47		11	57	22
				28				7				13				18				7				9
2	12	4	28		12	14	12		12	12	23		12	3	30		11	56	40		11	57	31
				28				7				13				19				7				9
3	12	4	56		12	14	19		12	12	10		12	3	11		11	56	33		11	57	40
				28				6				14				18				6				10
4	12	5	24		12	14	25		12	11	56		12	2	53		11	56	27		11	57	50
				27				5				14				18				6				10
5	12	5	51		12	14	30		12	11	42		12	2	35		11	56	21		11	58	0
				27				4				14				18				5				11
6	12	6	18		12	14	34		12	11	28		12	2	17		11	56	16		11	58	11
				26				3				15				17				4				11
7	12	6	44		12	14	37		12	11	13		12	2	0		11	56	12		11	58	22
				26				3				15				17				4				11
8	12	7	10		12	14	40		12	10	58		12	1	43		11	56	8		11	58	33
				25				2				16				17				4				11
9	12	7	35		12	14	42		12	10	42		12	1	26		11	56	4		11	58	44
				25				1				16				17				3				12
10	12	8	0		12	14	43		12	10	46		12	1	9		11	56	1		11	58	56
				24				Dec.				16				16				2				12
11	12	8	24		12	14	44		12	10	10		12	0	53		11	55	59		11	59	8
				23				1				17				16				1				12
12	12	8	47		12	14	43		12	9	53		12	0	37		11	55	58		11	59	20
				23				1				17				16				1				12
13	12	9	10		12	14	42		12	9	36		12	0	21		11	55	57		11	59	32
				22				2				17				15				Inc.				12
14	12	9	32		12	14	40		12	9	19		12	0	6		11	55	56		11	59	44
				22				3				17				15				1				13
15	12	9	54		12	14	37		12	9	2		11	59	51		11	55	57		11	59	57
				21				4				18				15				1				13
16	12	10	15		12	14	33		12	8	44		11	59	36		11	55	58		12	0	10
				20				4				18				15				1				13
17	12	10	35		12	14	29		12	8	26		11	59	21		11	55	59		12	0	23
				19				5				18				14				2				12
18	12	10	54		12	14	24		12	8	8		11	59	7		11	56	1		12	0	35
				19				5				18				13				2				13
19	12	10	13		12	14	19		12	7	50		11	58	54		11	56	3		12	0	48
				18				6				18				13				3				13
20	12	10	31		12	14	13		12	7	32		11	58	41		11	56	6		12	1	1
				17				7				18				13				3				13
21	12	11	48		12	14	6		12	7	14		11	58	28		11	56	9		12	1	14
				17				8				19				12				4				13
22	12	12	5		12	13	58		12	6	55		11	58	16		11	56	13		12	1	27
				16				8				19				12				5				13
23	12	12	21		12	13	50		12	6	36		11	58	4		11	56	18		12	1	40
				15				9				19				12				5				13
24	12	12	36		12	13	41		12	6	17		11	57	52		11	56	23		12	1	53
				14				9				19				11				6				13
25	12	12	50		12	13	32		12	5	58		11	57	41		11	56	29		12	2	6
				13				10				18				10				6				12
26	12	13	3		12	13	22		12	5	40		11	57	31		11	56	35		12	2	18
				12				11				19				10				7				13
27	12	13	15		12	13	11		12	5	21		11	57	21		11	56	42		12	2	31
				12				11				19				9				7				12
28	12	13	27		12	13	0		12	5	2		11	57	12		11	56	49		12	2	43
				11				12				18				9				7				12
29	12	13	38		12	12	48		12	4	44		11	57	3		11	56	56		12	2	55
				10				12				19				8				8				12
30	12	13	48						12	4	25		11	56	55		11	57	4		12	3	7
				9								19				8				9				11
31	12	13	57						12	4	6						11	57	13
				8								18								9
	Incr. 9ʹ 57ʺ				Incr. 0ʹ 39ʺ				Decr. 8ʹ 30ʺ				Decr. 6ʹ 53ʺ				Decr. 0ʹ 50ʺ				Incr. 5ʹ 45ʺ
					Decr. 1 56												Incr. 1 17

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The first after Leap-year.
Days	January			Dif.	February			Dif.	March			Dif.	April			Dif.	May			Dif.	June			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Inc.				Dec.				Dec.				Dec.				Inc.
1	12	4	21		12	14	11		12	12	39		12	3	52		11	56	49		11	57	18
				28				7				13				18				8				9
2	12	4	49		12	14	18		12	12	26		12	3	34		11	56	41		11	57	27
				27				6				13				18				7				9
3	12	5	16		12	14	24		12	12	13		12	3	16		11	56	34		11	57	36
				27				5				13				18				6				10
4	12	5	43		12	14	29		12	12	0		12	2	58		11	56	28		11	57	46
				27				5				14				18				6				10
5	12	6	10		12	14	34		12	11	46		12	2	40		11	56	22		11	57	56
				27				4				14				18				5				10
6	12	6	37		12	14	38		12	11	32		12	2	22		11	56	17		11	58	6
				26				3				15				18				4				11
7	12	7	3		12	14	41		12	11	17		12	2	4		11	56	13		11	58	17
				25				2				15				17				4				11
8	12	7	28		12	14	43		12	11	2		12	1	47		11	56	9		11	58	28
				25				1				16				17				4				12
9	12	7	53		12	14	44		12	10	46		12	1	30		11	56	5		11	58	40
				24				0				16				17				3				12
10	12	8	17		12	14	44		12	10	30		12	1	13		11	56	2		11	58	52
				24				Dec.				16				16				2				12
11	12	8	41		12	14	44		12	10	14		12	0	57		11	56	0		11	59	4
				23				1				17				16				2				12
12	12	9	4		12	14	43		12	9	57		12	0	41		11	55	58		11	59	16
				22				2				17				16				1				12
13	12	9	26		12	14	41		12	9	40		12	0	25		11	55	57		11	59	28
				22				3				17				16				1				12
14	12	9	48		12	14	38		12	9	23		12	0	9		11	55	56		11	59	40
				21				3				17				15				Inc.				13
15	12	10	9		12	14	35		12	9	6		11	59	54		11	55	56		11	59	53
				21				4				18				15				1				13
16	12	10	30		12	14	31		12	8	48		11	59	39		11	55	57		12	0	6
				20				5				18				14				1				13
17	12	10	50		12	14	26		12	8	30		11	59	25		11	55	58		12	0	19
				19				6				18				14				2				13
18	12	11	9		12	14	20		12	8	12		11	59	11		11	56	0		12	0	32
				18				6				18				14				2				13
19	12	11	27		12	14	14		12	7	54		11	58	57		11	56	2		12	0	45
				17				7				18				13				3				13
20	12	11	44		12	14	7		12	7	36		11	58	44		11	56	5		12	0	58
				17				7				18				13				3				13
21	12	12	1		12	14	0		12	7	18		11	58	31		11	56	8		12	1	11
				16				8				19				12				4				13
22	12	12	17		12	13	52		12	6	59		11	58	19		11	56	12		12	1	24
				15				9				19				12				4				13
23	12	12	32		12	13	43		12	6	40		11	58	7		11	56	16		12	1	37
				14				9				19				12				5				13
24	12	12	46		12	13	34		12	6	21		11	57	55		11	56	21		12	1	50
				13				10				19				11				6				13
25	12	12	59		12	13	24		12	6	2		11	57	44		11	56	27		12	2	3
				13				10				19				10				6				13
26	12	13	12		12	13	14		12	5	43		11	57	34		11	56	33		12	2	16
				12				11				19				10				6				12
27	12	13	24		12	13	3		12	5	24		11	57	24		11	56	39		12	2	28
				11				12				19				10				7				12
28	12	13	35		12	12	51		12	5	5		11	57	14		11	56	46		12	2	40
				10				12				19				9				7				12
29	12	13	45						12	4	46		11	57	5		11	56	53		12	2	52
								9				18				8				8				12
30	12	13	54						12	4	28		11	56	57		11	57	1		12	3	4
								9				18				8				8				11
31	12	14	3						12	4	10						11	57	9
				8								18								9
	Incr. 9ʹ 42ʺ				Incr. 0ʹ 33ʺ				Decr. 8ʹ 29ʺ				Decr. 6ʹ 55ʺ				Decr. 0ʹ 53ʺ				Incr. 5ʹ 46ʺ
					Decr. 1 53												Incr. 1 12

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The first after Leap-year.
Days	July			Dif.	August			Dif.	September			Dif.	October			Dif.	November			Dif.	December			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Dec.				Dec.				Dec.				Dec.				Inc.
1	12	3	15		12	5	48		11	59	38		11	49	33		11	43	49		11	49	36
				12				4				19				19				0				24
2	12	3	27		12	5	44		11	59	19		11	49	14		11	43	49		11	50	0
				11				5				19				19				Inc.				24
3	12	3	38		12	5	39		11	59	0		11	48	55		11	43	49		11	50	24
				11				5				19				18				1				25
4	12	3	49		12	5	34		11	58	41		11	48	37		11	43	50		11	50	49
				10				6				20				17				2				25
5	12	3	59		12	5	28		11	58	21		11	48	20		11	43	52		11	51	14
				10				6				20				17				3				26
6	12	4	9		12	5	22		11	58	1		11	48	3		11	43	55		11	51	40
				10				7				20				17				3				26
7	12	4	19		12	5	15		11	57	41		11	47	46		11	43	58		11	52	6
				10				7				20				17				4				27
8	12	4	29		12	5	8		11	57	21		11	47	29		11	44	2		11	52	33
				9				8				20				16				5				27
9	12	4	38		12	5	0		11	57	1		11	47	13		11	44	7		11	53	0
				8				9				20				15				6				27
10	12	4	46		12	4	51		11	56	41		11	46	58		11	44	13		11	53	27
				8				9				20				15				7				28
11	12	4	54		12	4	42		11	56	21		11	46	43		11	44	20		11	53	35
				8				10				21				14				8				28
12	12	5	2		12	4	32		11	56	0		11	46	29		11	44	28		11	54	23
				8				10				21				13				9				29
13	12	5	10		12	4	22		11	55	39		11	46	16		11	44	37		11	54	52
				7				11				21				13				10				29
14	12	5	17		12	4	11		11	55	18		11	46	3		11	44	47		11	55	21
				6				11				21				13				11				29
15	12	5	23		12	4	0		11	54	57		11	45	50		11	44	58		11	55	50
				6				12				21				13				12				30
16	12	5	29		12	3	48		11	54	36		11	45	37		11	45	10		11	56	19
				5				12				21				12				13				30
17	12	5	34		12	3	36		11	54	15		11	45	25		11	45	23		11	56	49
				5				13				21				11				13				30
18	12	5	39		12	3	23		11	53	54		11	45	14		11	45	36		11	57	19
				4				13				21				11				14				30
19	12	5	43		12	3	10		11	53	33		11	45	3		33	45	50		11	57	49
				4				14				21				10				14				30
20	12	5	47		12	2	56		11	53	12		11	44	53		11	46	4		11	58	19
				4				14				21				10				15				30
21	12	5	51		12	2	42		11	52	51		11	44	43		11	46	19		11	58	49
				3				15				20				9				16				30
22	12	5	54		12	2	17		11	52	31		11	44	34		11	46	35		11	59	19
				2				15				20				8				17				30
23	12	5	56		12	2	12		11	52	11		11	44	26		11	46	52		11	59	49
				1				16				21				7				18				30
24	12	5	57		12	1	56		11	51	50		11	44	19		11	47	10		12	0	19
				1				16				21				6				19				30
25	12	5	58		12	1	40		11	51	29		11	44	13		11	47	29		12	0	49
				Dec.				16				20				6				19				30
26	12	5	59		12	1	24		11	51	9		11	44	7		11	47	48		12	1	19
				1				17				20				5				20				30
27	12	5	58		12	1	7		11	50	40		11	44	2		11	48	8		12	1	49
				1				17				19				4				21				29
28	12	5	57		12	1	50		11	50	30		11	43	58		11	48	29		12	2	18
				2				18				19				3				22				29
29	12	5	55		12	1	32		11	50	11		11	43	55		11	48	51		12	2	47
				2				18				19				3				22				29
30	12	5	53		12	0	14		11	49	52		11	43	52		11	49	13		12	3	16
				2				18				19				2				23				29
31	12	5	51		11	59	56						11	43	50						12	3	45
				3				18								1								29
	Incr. 2ʹ 43ʺ				Decr. 5ʹ 52ʺ				Decr. 9ʹ 46ʺ				Decr. 5ʹ 43ʺ				Decr. 0ʹ 0ʺ				Incr. 14ʹ 9ʺ
	Decr. 0 8																Incr. 5 24

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The second after Leap-year.
Days	January			Dif.	February			Dif.	March			Dif.	April			Dif.	May			Dif.	June			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Dec.				Inc.				Dec.				Dec.				Inc.
1	12	4	14		12	14	9		12	12	42		12	3	56		11	56	50		11	57	16
				28				7				13				18				8				9
2	12	4	42		12	14	16		12	12	20		12	3	38		11	56	42		11	57	25
				28				6				13				18				7				10
3	12	5	10		12	14	22		12	12	16		12	3	20		11	56	35		11	57	35
				27				5				13				18				6				10
4	12	5	37		12	14	27		12	12	3		12	3	2		11	56	29		11	57	45
				27				5				14				18				6				10
5	12	6	4		12	14	32		12	11	49		12	2	44		11	56	23		11	57	55
				27				4				14				18				5				10
6	12	6	30		12	14	36		12	11	35		12	2	26		11	56	18		11	58	5
				26				3				15				17				5				11
7	12	6	56		12	14	39		12	11	20		12	2	9		11	56	23		11	58	16
				26				2				15				17				4				11
8	12	7	22		12	14	41		12	11	5		12	1	52		11	56	9		11	58	27
				25				2				15				17				3				11
9	12	7	47		12	14	43		12	10	50		12	1	35		11	56	6		11	58	38
				24				1				16				17				3				12
10	12	8	11		12	14	44		12	10	34		12	1	18		11	56	3		11	58	50
				24				Dec.				16				17				2				12
11	12	8	35		12	14	44		12	10	18		12	1	1		11	56	1		11	59	2
				23				1				17				16				2				12
12	12	8	58		12	14	43		12	10	1		12	0	45		11	55	59		11	59	14
				22				2				17				16				2				12
13	12	9	20		12	14	41		12	9	44		12	0	29		11	55	57		11	59	26
				22				3				17				16				1				12
14	12	9	42		12	14	38		12	9	27		12	0	13		11	55	56		11	59	38
				21				3				17				15				Inc.				12
15	12	10	3		12	14	35		12	9	10		11	59	58		11	55	56		11	59	50
				21				4				18				15				1				13
16	12	10	24		12	14	31		12	8	52		11	59	43		11	55	57		12	0	3
				20				4				18				14				1				13
17	12	10	44		12	14	27		12	8	34		11	59	29		11	55	58		12	0	16
				19				5				18				14				2				13
18	12	11	3		12	14	22		12	8	16		11	59	15		11	56	0		12	0	29
				18				6				18				14				2				13
19	12	11	21		12	14	16		12	7	58		11	59	1		11	56	2		12	0	42
				18				7				18				14				3				13
20	12	11	39		12	14	9		12	7	40		11	58	47		11	56	5		12	0	55
				17				7				18				13				3				13
21	12	11	56		12	14	2		12	7	22		11	58	34		11	56	8		12	1	8
				16				8				18				12				3				13
22	12	12	12		12	13	54		12	7	4		11	58	22		11	56	11		12	1	21
				15				9				19				12				4				13
23	12	12	27		12	13	45		12	6	45		11	58	10		11	56	15		12	1	34
				15				9				19				12				5				13
24	12	12	42		12	13	36		12	6	26		11	57	58		11	56	20		12	1	47
				14				10				19				11				6				12
25	12	12	56		12	13	26		12	6	7		11	57	47		11	56	26		12	1	59
				13				10				19				11				6				13
26	12	13	9		12	13	16		12	5	48		11	57	36		11	56	32		12	2	12
				12				11				19				10				6				13
27	12	13	21		12	13	5		12	5	29		11	57	26		11	56	38		12	2	25
				11				11				19				10				7				12
28	12	13	32		12	12	54		12	5	10		11	57	16		11	56	45		12	2	37
				10				12				19				9				7				12
29	12	13	42						12	4	51		11	57	7		11	56	52		12	2	49
				10								18				9				8				12
30	12	13	52						12	4	33		11	56	58		11	57	0		12	3	1
				9								18				8				8				11
31	12	14	1						12	4	15						11	57	8
				8								18								8
	Incr. 9ʹ 47ʺ				Incr. 0ʹ 35ʺ				Decr. 8ʹ 27ʺ				Decr. 6ʹ 58ʺ				Decr. 0ʹ 54ʺ				Incr. 5ʹ 45ʺ
					Decr. 1 50												Incr. 1 12

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The second after Leap-year.
Days	July			Dif.	August			Dif.	September			Dif.	October			Dif.	November			Dif.	December			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Dec.				Dec.				Dec.				Dec.				Inc.
1	12	3	12		12	5	48		11	59	43		11	49	37		11	43	49		11	49	30
				12				4				19				19				1				23
2	12	3	24		12	5	44		11	59	24		11	49	18		11	43	48		11	49	53
				11				4				19				18				Inc.				24
3	12	3	35		12	5	40		11	59	5		11	49	0		11	43	49		11	50	17
				11				5				19				18				1				25
4	12	3	46		12	5	35		11	58	46		11	48	42		11	43	50		11	50	42
				11				5				20				18				2				25
5	12	3	57		12	5	30		11	58	26		11	48	24		11	43	52		11	51	7
				10				6				20				17				3				26
6	12	4	7		12	5	24		11	58	6		11	48	7		11	43	55		11	51	33
				10				7				20				17				3				26
7	12	4	17		12	5	17		11	57	46		11	47	50		11	43	58		11	51	59
				9				7				20				17				4				26
8	12	4	26		12	5	10		11	57	26		11	47	33		11	44	2		11	52	25
				9				8				21				16				5				27
9	12	4	35		12	5	2		11	57	5		11	47	17		11	44	7		11	52	52
				9				9				20				16				6				28
10	12	4	44		12	4	53		11	56	45		11	47	1		11	44	13		11	53	20
				8				9				21				15				7				28
11	12	4	52		12	4	44		11	56	24		11	46	46		11	44	20		11	53	48
				8				9				21				14				8				28
12	12	5	0		12	4	35		11	56	3		11	46	32		11	44	28		11	54	16
				8				10				21				14				9				28
13	12	5	8		12	4	25		11	55	42		11	46	18		11	44	37		11	54	44
				7				11				20				13				9				29
14	12	5	15		12	4	13		11	55	22		11	46	5		11	44	46		11	54	13
				6				11				20				13				10				29
15	12	5	21		12	4	3		11	55	2		11	45	52		11	44	56		11	55	42
				6				12				21				13				11				29
16	12	5	27		12	3	51		|11	54	41		11	45	39		11	45	7		11	56	11
				6				12				21				12				12				30
17	12	5	33		12	3	39		11	54	20		11	45	27		11	45	19		11	56	41
				5				12				21				11				13				30
18	12	5	38		12	3	27		11	53	59		11	45	16		11	45	32		11	57	11
				4				13				20				10				14				30
19	12	5	42		12	3	14		11	53	39		11	45	6		11	45	46		11	57	41
				4				14				21				10				15				30
20	12	5	46		12	3	0		11	53	18		11	44	56		11	46	1		11	58	11
				3				14				21				10				15				30
21	12	5	49		12	2	46		11	52	57		11	44	46		11	46	16		11	58	41
				3				15				20				9				16				30
22	12	5	52		12	2	31		11	52	37		11	44	37		11	46	32		11	59	11
				2				15				21				8				17				30
23	12	5	54		12	2	16		11	52	16		11	44	29		11	46	49		11	59	41
				2				15				21				7				18				30
24	12	5	56		12	2	1		11	51	55		11	44	22		11	47	7		12	0	11
				2				16				21				7				18				30
25	12	5	58		12	1	45		11	51	34		11	44	15		11	47	25		12	0	41
				1				16				20				6				19				30
26	12	5	59		12	1	29		11	51	14		11	44	9		11	47	44		12	1	11
				Dec.				17				20				5				20				30
27	12	5	58		12	1	12		11	50	54		11	44	4		11	48	4		12	1	41
				1				17				20				5				21				30
28	12	5	57		12	0	55		11	50	34		11	43	59		11	48	25		12	2	11
				1				18				19				4				21				29
29	12	5	56		12	0	37		11	50	15		11	43	55		11	48	46		12	2	40
				2				18				19				3				22				29
30	12	5	54		12	0	19		11	49	56		11	43	52		11	49	8		12	3	9
				3				18				19				2				22				29
31	12	5	51		12	0	1						11	43	50						12	3	38
				3				18								1								29
	Incr. 2ʹ 46ʺ				Decr. 5ʹ 47ʺ				Decr. 9ʹ 47ʺ				Decr. 5ʹ 47ʺ				Decr. 0ʹ 1ʺ				Incr. 14ʹ 8ʺ
	Decr. 0 8																Incr. 5 19

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The third after Leap-year.
Days	January			Dif.	February			Dif.	March			Dif.	April			Dif.	May			Dif.	June			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
				Inc.				Inc.				Dec.				Dec.				Dec.				Inc.
1	12	4	7		12	14	6		12	12	44		12	4	1		11	56	52		11	57	15
				28				7				12				18				8				9
2	12	4	35		12	14	13		12	12	32		12	3	43		11	56	44		11	57	24
				28				7				13				18				7				9
3	12	5	3		12	14	20		12	12	19		12	3	25		11	56	37		11	57	33
				27				6				13				18				7				9
4	12	5	30		12	14	26		12	12	6		12	3	7		11	56	30		11	57	42
				27				5				14				18				6				10
5	12	5	57		12	14	31		12	11	52		12	2	49		11	56	24		11	57	52
				27				4				14				18				5				10
6	12	6	24		12	14	35		12	11	38		12	2	31		11	56	19		11	58	2
				26				3				14				18				5				11
7	12	6	50		12	14	38		12	11	24		12	2	13		11	56	14		11	58	13
				25				2				15				18				4				11
8	12	7	15		12	14	41		12	11	9		12	1	55		11	56	10		11	58	24
				25				1				16				17				4				11
9	12	7	40		12	14	43		12	10	53		12	1	38		11	56	6		11	58	35
				25				1				16				17				3				11
10	12	8	5		12	14	44		12	10	37		12	1	21		11	56	3		11	58	46
				24				Dec.				16				16				2				12
11	12	8	29		12	14	44		12	10	21		12	1	5		11	56	1		11	58	58
				23				1				16				16				2				12
12	12	8	52		12	14	43		12	10	5		12	0	49		11	55	59		11	59	10
				23				2				17				16				2				12
13	12	9	15		12	14	41		12	10	48		12	0	33		11	55	57		11	59	22
				22				2				17				16				1				12
14	12	9	37		12	14	39		12	9	31		12	0	17		11	55	56		11	59	34
				21				3				17				15				Inc.				13
15	12	9	58		12	14	36		12	9	14		12	0	2		11	55	56		11	59	47
				21				4				17				15				1				13
16	12	10	19		12	14	32		12	8	57		11	59	47		11	55	57		12	0	0
				20				4				18				15				1				13
17	12	10	39		12	14	28		12	8	39		11	59	32		11	55	58		12	0	13
				19				5				18				14				1				13
18	12	10	58		12	14	23		12	8	21		11	59	18		11	55	59		12	0	26
				18				6				18				14				2				13
19	12	11	16		12	14	17		12	8	3		11	59	4		11	56	1		12	0	39
				18				7				18				14				2				13
20	12	11	34		12	14	10		12	7	45		11	58	50		11	56	3		12	0	52
				17				7				18				13				3				13
21	12	11	51		12	14	3		12	7	27		11	58	37		11	56	6		12	1	5
				16				8				19				13				4				12
22	12	12	7		12	13	55		12	7	8		11	58	24		11	56	10		12	1	17
				16				8				19				12				4				13
23	12	12	23		12	13	47		12	6	49		11	58	12		11	56	14		12	1	30
				15				9				19				12				5				13
24	12	12	38		12	13	38		12	6	30		11	58	0		11	56	19		12	1	43
				14				9				19				11				5				13
25	12	12	52		12	13	29		12	6	11		11	57	49		11	56	24		12	1	56
				13				10				18				11				6				13
26	12	13	5		12	13	19		12	5	53		11	57	38		11	56	30		12	2	9
				12				11				19				10				6				13
27	12	13	17		12	13	8		12	5	34		11	57	28		11	56	36		12	2	22
				11				12				19				10				7				12
28	12	13	28		12	12	56		12	5	15		11	57	18		11	56	43		12	2	34
				11				12				18				9				7				12
29	12	13	39						12	4	57		11	57	9		11	56	50		12	2	46
				10								19				9				8				12
30	12	13	49						12	4	38		11	57	0		11	56	58		12	2	58
				9								19				8				8				12
31	12	13	58						12	4	19						11	57	6
				8								18								9
	Incr. 9ʹ 51ʺ				Incr. 0ʹ 38ʺ				Decr. 8ʹ 25ʺ				Decr. 7ʹ 1ʺ				Decr. 0ʹ 56ʺ				Incr. 5ʹ 43ʺ
					Decr. 1 48												Incr. 1 10

A TABLE of the Equation of natural Days, shewing what Time it ought to be by the Clock when the Sun is on the Meridian.
The third after Leap-year.
Days	July			Dif.	August			Dif.	September			Dif.	October			Dif.	November			Dif.	December			Dif.
	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.	H.	M.	S.	S.
	&nbps;			Inc.	&nbps;			Dec.	&nbps;			Dec.	&nbps;			Dec.	&nbps;			Dec.	&nbps;			Inc.
1	12	3	10		12	5	49		11	59	47		11	49	42		11	43	49		11	49	25
				11				4				19				18				1				23
2	12	3	21		12	5	45		11	59	28		11	49	24		11	43	48		11	49	48
				11				4				19				18				Inc.				24
3	12	3	32		12	5	41		11	59	9		11	49	6		11	43	48		11	50	12
				11				5				19				18				1				24
4	12	3	43		12	5	36		11	58	50		11	48	48		11	43	49		11	50	36
				11				5				19				18				2				25
5	12	3	54		12	5	31		11	58	31		11	48	30		11	43	51		11	51	1
				10				6				20				18				2				25
6	12	4	4		12	5	25		11	58	11		11	48	12		11	43	53		11	51	26
				10				7				20				17				3				26
7	12	4	14		12	5	18		11	57	51		11	47	55		11	43	56		11	52	52
				10				7				20				16				4				27
8	12	4	24		12	5	11		11	57	31		11	47	39		11	44	0		11	52	19
				9				7				20				16				5				27
9	12	4	33		12	5	4		11	57	11		11	47	23		11	44	5		11	52	46
				9				8				20				16				6				27
10	12	4	42		12	4	56		11	56	51		11	47	7		11	44	11		11	53	13
				8				8				20				15				7				28
11	12	4	50		12	4	48		11	56	31		11	46	52		11	44	18		11	53	41
				8				9				21				15				8				28
12	12	4	58		12	4	37		11	56	10		11	46	37		11	44	26		11	54	9
				8				10				21				14				8				28
13	12	5	6		12	4	27		11	55	49		11	46	23		11	44	34		11	54	37
				7				10				21				14				9				29
14	12	5	13		12	4	17		11	55	28		11	46	9		11	44	43		11	55	6
				6				11				21				13				10				30
15	12	5	19		12	4	6		11	55	7		11	45	56		11	44	53		11	55	36
				6				12				20				12				11				29
16	12	5	25		12	3	54		11	54	47		11	45	44		11	45	4		11	56	6
				6				12				21				12				12				30
17	12	5	31		12	3	42		11	54	26		11	45	32		11	45	16		11	56	36
				5				13				21				12				13				30
18	12	5	36		12	3	29		11	54	5		11	45	20		11	45	29		11	57	6
				5				13				21				11				14				29
19	12	5	41		12	3	16		11	53	44		11	45	9		11	45	43		11	57	35
				4				13				21				10				14				30
20	12	5	45		12	3	3		11	53	23		11	44	59		11	45	57		11	58	5
				4				14				20				9				15				30
21	12	5	49		12	2	49		11	53	3		11	44	50		11	46	12		11	58	34
				3				15				21				9				16				30
22	12	5	52		13	2	34		11	52	42		11	44	41		11	46	28		11	59	4
				3				15				21				9				17				30
23	12	5	55		12	2	19		11	52	21		11	44	32		11	46	45		11	59	34
				2				15				20				8				17				30
24	12	5	57		12	2	4		11	52	1		11	44	24		11	47	2		12	0	4
				1				16				21				7				18				30
25	12	5	58		12	1	48		11	51	40		11	44	17		11	47	20		12	0	34
				1				16				20				6				19				30
26	12	5	59		12	1	32		11	51	20		11	44	11		11	47	39		12	1	4
				Dec.				16				20				5				20				30
27	12	5	58		12	1	16		11	51	0		11	44	6		11	47	59		12	1	34
				1				17				20				5				20				30
28	12	5	57		12	0	59		11	50	40		11	44	1		11	48	19		12	2	4
				1				17				20				4				21				29
29	12	5	56		12	0	42		11	50	20		11	43	57		11	48	40		12	2	33
				2				18				19				3				22				29
30	12	5	54		12	0	24		11	50	1		11	43	54		11	49	2		12	3	2
				2				18				19				3				23				29
31	12	5	52		12	0	6						11	43	51						12	3	31
				3				19								2								29
	Incr. 2ʹ 48ʺ				Decr. 5ʹ 43ʺ				Decr. 9ʹ 46ʺ				Decr. 5ʹ 51ʺ				Decr. 0ʹ 1ʺ				Incr. 14ʹ 6ʺ
	Decr. 0 7																Incr. 5 14

CHAP. XV.
The Moon’s surface mountainous: Her Phases described: Her path, and the paths of Jupiter’s Moons delineated: The proportions of the Diameters of their Orbits, and those of Saturn’s Moons, to each other; and to the Diameter of the Sun.

[PL. VII.]
The Moon’s surface mountainous.