The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.

Another Example.

In the Year 1583 March 14 at Noon, in the Meridian of Ʋraneburg in Denmark, thrice Noble Ticho-Brahe, most excellently observed the Suns true place in 3 deg. 17 min. 40 seconds of ♈. The time at London was 1583 March 13 day 23 h. 8 m.

[illustration] geometrical diagram

The Convex-Sphere, which resolves all the most useful Problems in Astronomy, by the Direction of 13 Problems following.

[illustration] geometrical diagram

The Concave-Sphere, which resolves 13 Problems, viz. and by them may be resolved, most of the useful Problems in Astronomy.

A Table of the Suns Mean Motion.

The Apoche, or Radius.

Year.	Longit. ☉	Apog. ☉
S	D	M	S	S	D	M	S
Ch. 1	9	07	59	51	2	08	20	03
1581	9	19	48	55	3	05	22	55
1601	9	19	57	54	3	50	43	28
1621	9	20	06	52	3	06	04	00
1641	9	20	15	51	3	06	24	33
1661	9	20	24	49	3	06	45	05
1681	9	20	33	48	3	07	05	38

☉ Mean Motion in Years above 20.

Year.	Longit. ☉	Apog. ☉
S	D	M	S	S	D	M	S
20	0	00	08	59	0	00	20	33
40	0	00	17	57	0	00	41	05
60	0	00	26	56	0	11	01	38
80	0	00	35	54	0	11	22	10
100	0	00	44	53	0	11	42	43
200	0	02	29	45	0	03	25	26
300	0	02	14	38	0	05	08	08
400	0	02	59	31	0	06	50	51
500	0	03	44	23	0	08	33	34
600	0	04	29	16	0	10	16	17
700	0	05	14	09	0	11	59	00
800	0	05	59	01	0	13	41	42
900	0	06	43	54	0	15	24	25
1000	0	07	28	47	0	17	07	08
2000	0	14	57	34	1	04	14	15
3000	0	22	26	21	1	21	21	22
4000	0	29	55	08	2	08	28	30
5000	1	07	33	55	2	25	35	37
6000	1	14	52	42	3	12	42	44

☉ Mean Motion in years under 20

Years.	Longit. ☉	Apog. ☉
S	D	M	S	M	S
1	11	29	45	40	1	02
2	11	29	31	20	2	04
3	11	29	16	59	3	05
L 4	00	00	01	48	4	07
5	11	29	47	28	5	08
6	11	29	33	07	6	10
7	11	29	10	47	7	12
L 8	00	00	03	35	8	13
9	11	29	49	15	9	14
10	11	29	34	55	10	16
11	11	29	20	35	11	18
L 12	00	00	05	23	12	20
13	11	29	51	03	13	21
14	11	29	36	43	14	23
15	11	29	22	23	15	25
L 16	00	00	07	11	16	26
17	11	29	52	51	17	28
18	11	29	38	31	18	29
19	11	29	24	10	19	31
L 20	00	00	08	59	20	33

☉ Mean Motion in Months.

	Longit. ☉	Apog. ☉
S	D	M	S	M	S
Janu.	00	00	00	00	00	00
Febr.	01	00	33	18	00	05
Marc.	01	28	09	11	00	10
April	02	28	42	30	00	15
May	03	28	16	39	00	20
June	04	28	49	58	00	25
July	05	28	24	07	00	31
Aug.	06	28	57	25	00	36
Sept.	07	29	30	44	00	42
Octo.	08	29	04	54	00	47
Nov.	09	29	38	12	00	53
Dec.	10	29	12	22	00	59

The Calculation. Apog. ☉

	Long. ☉
S	D	M	S	S	D	M	S
The ☉ Apocha.
☞ 1581.	9	19	48	55	3	5	22	55
Years added 2	11	29	31	20			2	4
March.	1	28	9	11				10
Days 13		12	48	48				2
Hours 23			56	40				0
Minutes 8				20				0
The Suns Mean Motion.	0	1	15	14	3	5	25	11
Apogeum Substract.	3	5	25	11
The Anomaly of ☉	8	25	50	03
The Equator added to 115′ 14′		2	2	51
The Suns true place, with Observation.	♈	3	18	5	Agreeing.

(3) Example the time given the 10 of April 1665 at Noon; and admit by the former Rules we have found the Suns Mean Motion 29 degr. 0 min. 30′ his Apogeum 3 s. 6 d. 49 m. 29 s. his Anomally 9 s. 22 d. 11′ 1″; first find a Proportional part, the Equat. answering to 22 s. 1 d. 52′ 22″

The Equator answering to 23 d.	1 51 29
their difference	59

Then I say, if 1 deg. or 60 min. give 53 seconds, what shall 11 of the Anomaly give? by the Rule of proportion, 〈 math 〉〈 math 〉

A Table of the Suns Mean Motion.

	Longit. ☉	Apog.	H	Long. ☉	M	Lon. ☉.
S	D	M	S		S	D	M	S	M	S
1	0	0	59	08	0	0	1	0	2	24	31	1	17
2	0	01	58	17	0	0	2	0	4	56	32	1	19
3	0	02	57	25	0	0	3	0	7	24	33	1	21
4	0	03	56	33	0	1	4	0	9	51	34	1	24
5	0	04	55	42	0	1	5	0	12	19	35	1	26
6	0	05	54	50	0	1	6	0	14	47	36	1	29
7	0	06	53	58	0	1	7	0	17	15	37	1	31
8	0	07	53	07	0	1	8	0	19	43	38	1	34
9	0	08	52	15	0	1	9	0	22	11	39	1	36
10	0	09	51	23	0	2	10	0	24	38	40	1	39
11	0	10	50	31	0	2	11	0	27	6	41	1	41
12	0	11	49	40	0	2	12	0	29	34	42	1	43
13	0	12	48	49	0	2	13	0	32	2	43	1	46
14	0	13	47	57	0	2	14	0	34	30	44	1	48
15	0	14	47	05	0	2	15	0	36	58	45	1	51
16	0	15	46	13	0	3	16	0	39	25	46	1	53
17	0	16	45	22	0	3	17	0	41	53	47	1	56
18	0	17	44	30	0	3	18	0	44	21	48	1	58
19	0	18	43	38	0	3	19	0	46	40	49	2	01
20	0	19	42	47	0	3	20	0	49	17	50	2	03
21	0	20	41	55	0	3	21	0	51	45	51	2	06
22	0	21	41	03	0	4	22	0	54	13	52	2	08
23	0	22	41	12	0	4	23	0	56	40	53	2	11
24	0	23	40	20	0	4	24	0	59	8	54	2	13
25	0	24	39	28	0	4	25	1	01	34	55	2	18
26	0	25	38	37	0	4	26	1	04	04	56	2	18
27	0	26	37	45	0	4	27	1	06	32	57	2	20
28	0	27	36	53	0	5	28	1	09	00	58	2	23
29	0	28	35	02	0	5	29	1	11	27	59	2	25
30	0	29	35	10	0	5	30	1	13	55	60	2	28
31	0	00	34	18	0	5	M	m	se.	th.	sec	sec	th.

A Table of the Suns Equation.

	Sig. 0 AE Sub.	Sig. 1 AE Sub.	Sig. 2 AE Sub.	Sig. 3 AE Sub.	Sig. 4 AE Sub.	Sig. 5 AE Sub.
	D	M	S	D	M	S	D	M	S	D	M	S	D	M	S	D	M	S
0	0	0	0	0	59	32	1	44	28	2	2	54	1	48	23	1	3	26	30
1	0	2	5	1	1	21	1	45	34	2	2	56	1	47	20	1	1	32	29
2	0	4	9	1	3	10	1	46	38	2	2	56	1	46	15	0	59	37	28
3	0	6	12	1	4	57	1	47	41	2	2	55	1	45	9	0	57	40	27
4	0	8	16	1	6	42	1	48	40	2	2	52	1	44	1	0	55	42	26
5	0	10	19	1	8	26	1	49	38	2	2	47	1	42	50	0	53	43	25
6	0	12	22	1	10	9	1	50	34	2	2	39	1	41	37	0	51	43	24
7	0	14	25	1	11	51	1	51	29	2	2	29	1	40	22	0	49	42	23
8	0	16	28	1	13	32	1	52	22	2	2	17	1	39	4	0	45	39	22
9	0	18	30	1	15	11	1	53	13	2	2	2	1	37	45	0	45	35	21
10	0	20	32	1	16	49	1	54	1	2	1	46	1	36	24	0	43	31	20
11	0	22	34	1	18	26	1	54	43	2	1	29	1	35	3	0	41	26	19
12	0	24	37	1	20	02	1	55	31	2	1	7	1	32	30	0	39	20	18
13	0	26	39	1	21	36	1	56	14	2	0	44	1	32	2	0	37	14	17
14	0	28	41	1	23	9	1	56	55	2	0	18	1	30	44	0	••5	••	16
15	0	30	42	1	24	41	1	57	34	1	59	49	1	29	13	0	3••	••8	15
16	0	32	43	1	26	11	1	58	10	1	59	19	1	27	41	0	3	50	14
17	0	34	44	1	27	40	1	58	44	1	58	47	1	26	7	0	2••	••1	13
18	0	36	43	1	29	8	1	59	16	1	58	12	1	24	32	0	26	••1	12
19	0	38	41	1	30	34	1	59	46	1	57	35	1	22	56	0	24	••	11
20	0	40	38	1	31	58	2	0	14	1	56	56	1	21	18	0	22	1••	10
21	0	32	35	1	33	20	2	0	40	1	56	14	1	19	38	0	19	5••
22	0	34	81	1	34	41	2	1	04	1	55	30	1	17	56	0	17	4••
23	0	46	27	1	36	0	2	1	26	1	54	44	1	16	12	0	15	36
24	0	48	22	1	37	17	2	1	46	1	53	56	1	14	26	0	13	33
25	0	50	16	1	38	33	2	2	3	1	53	5	1	12	40	0	11	10
26	0	52	09	1	39	48	2	2	18	1	52	12	1	10	52	0	8	57
27	0	54	1	1	41	1	2	2	30	1	51	18	1	9	2	0	6	43
28	0	55	52	1	42	12	2	2	40	1	50	21	1	7	11	0	4	29
29	0	57	42	1	43	21	2	2	48	1	49	23	1	5	18	0	2	15
30	0	59	42	1	44	28	2	2	54	1	48	23	1	3	36	0	0	0
	Add Sig. 11	Add Sig. 10	Add Sig. 9	Add Sig. 8	Add Sig. 7	Add Sig. 6

Place this Table between Pag. 106 and 107.

Multiply 53 by 11, the Product is 583, which Divide by 60, the Quotient will be 9″ 45/60; and because the Equation decreases I Substract it from the Equa. answering 22 degr. which is 1 d. 52″ - 12″ for the true Equation desired, which according to the Title, being added to the Suns Mean-Longitude, giveth the true place of the Sun re∣quired.