A boke named Tectonicon briefely shewynge the exacte measurynge, and speady reckenynge all maner lande, squared tymber, stone, steaples, pyllers, globes. [et]c. Further, declaringe the perfecte makinge and large vse of the carpenters ruler, conteyninge a quadrant geometricall: comprehendinge also the rare vse of the squire. And in thende a lyttle treatise adioyned, openinge the composicion and appliancie of an instrument called the profitable staffe. With other thinges pleasaunt and necessary, most conducible for surueyers, landemeaters, ioyners, carpenters, and masons. Published by Leonarde Digges gentleman, in the yere of our Lorde. 1556.

¶A little treatise decla∣ringe the making and vse of an Instrument Geometricall (so farre as it fardereth the Landemeter or Carpenter) named the profitable Staffe. TO THE READER.

I Sayde in the begynninge that no lyttle boke woulde conteyne the makynge, and many∣folde fruites of this pryncely Instrument, if it were set forthe as it ought to be.

Certes the trueth euen here maketh mee confesse the same:* 1.1 yea, that there is no instru∣ment so generall and profitably pleasaunt.

Notwithstandinge knowe (gentle reader) that the occasion of his chiefe vse and profite is not here mynystred: neyther (to say the trueth) doth it apperteine to, or agree with the capacitie of suche Artificers. Therfore I shall leaue to intreate of his ample large vse, and best makynge, and wyl sette hym foorthe in fewe woordes: yea, sufficientlye for the Lande∣meaters capacitye, or Carpenters purpose, that at the leaste they maye receaue some kynde of fruite with the Geometrer. And in tyme to come (by other meanes) as I se cause I wyll largely declare, and there decke him wyth hys proper beauties. Here nowe folo∣weth the makyng, and so brief∣lye howe he is applied for the profite of the afore named Artificers.

The makinge of this profitable Rodde or Staffe. THE FIRST CHAPTER.

YE shall prepare two small, streghte, styffe, rounde, or rather square Roddes, of mettall or of wodde well playned, of lyke bygnesse and lengthe. Althoughe it make no matter of what lengthe, yet to auoyde the errours, whiche lyttle instrumentes and short staues brynge, and also to beare wyth the rude vnwonte handelynge of suche Artificers:

[illustration]

let your Roddes be eche fiue, or at the least thre fote, and euerye fote diuided in .12. euen partes or inches, as ye se. a. b. &. c. d. These roddes muste be forged wyth a vize in the ende of them to ioyne readely .10. or .6. fote in lengthe, (when time requireth) as the Fi¦gure e. f. sheweth. Also ye muste get (bi the helpe of some Craftes∣man. 4. other like roddes, the lō∣ger g. 2 fote: the next. h .1. fote: the other. i. 6. inches: then k. 3. inches the last and shortest. l. 1. inche & ½. Eche of these must haue in their myddes a hole, that the longe staffe of .10. fote may be put tho∣row them, & they moued on him at pleasure vp & downe, alwaies cuttynge the longer staffe. e. f. squyrewise, and made to tary on any diuision as occasion shall be geuen: whiche all are easye to be perceaued by the figures folow∣ynge, although my rude declara¦cion hath not expressed my mea∣nynge.

Ianuary hath xxxi. daies

* 1.2 * 1.3 * 1.4

For the night.

	5	6	7	8	9	10	11	12	♋
1	108	123	143	165	190	213	59		79	From euening to midnight.
5	112	129	150		172	197	220	63	74
10	118	135	153		18••	2••6	227	68	78
15	123	214	156		192	••1••	233	71	81
20	130	151	173		199	210	239	75	86
25	2••7	158	183		207	228	244	79	90
30	146	165	191		21••	23••	249	82	93
From midnight vnto day	80	93	105		121	143	168	196		1
86	96	110		127	151	177	205		5
89	101	116		135	160	189	214		10
93	105	122		143	169	198	223		15
98	111	128		152	179	207	230		20
101	116	135		159	190	216	236		25
190	121	1••4		168	1••8	222	242		30
	1	2	3		4	5	6	7

For the day. gr. ♒

10		12	11	10	9	8	7	H
Staffe	36:	39:	49:	83:	550	0	shad.
Squire	4:	4	3	2	0	0	shad.
H	0	1	2	3	4	5
20		12	11	10	9	8	7		10
Staffe	32	34	42	65:	209	0	shad.
Squier	4	14	3	2	1	0	shad.
H	0	1	2	3	4	5
30		12	11	10	9	8	7		20
Staffe	27	29:	35:	52	119:	0	shad.
Squier	5:	5	4	3	1	0	shad.
H	0	1	2	3	4	5

February hath xxviii. daies

For the night.

	••9	194	210	62	73	83	93	From euening to midnight.
5	174	199	222	64	75	86	98
10	84	207	228	68	79	90	1••2
* 1.51••	161	214	234	71	82	94	10••
10	198	220	238	75	86	98	111
* 1.6 25	205	226	243	78	88	100	116
30
From midnight vnto day	108	124	164	17••	201	225		1
111	129	153	180	207	231	5
117	136	162	190	216	237	10
122	144	169	198	223	243	15
128	152	178	206	230	248	20
134	159	188	214	236	252	25
* 1.7							30
	1	2	3	4	5	6

For the day. gra ♓

8		12	11	10	9	8	7	H
Staffe	2••:	25	30:	42:	80	6876	shad.
Squire	6:	0	5	3	2	0	shad.
H	0	1	2	3	4	5
18		12	11	10	6	8	7		0
Staffe	20	21.	25.	34:	61	226	shad.
Squier	7	7	6	4	2	1	shad.
H	0	1	2	3	4	5
28		12	11	10	9	8	7		20
Staffe	17	18:	22:	29:	45	112	shad.
Squier	8:	8	6:	5	3	1	shad.
H	0	1	2	3	4	5

Marche hath .xxxi. dayes.

For the nyght.

5	59	70	81	93	105	120	From Euening to midnight.
10	62	74	84	95	108	125
15	65	76	87	99	113	131
20	69	80	91	103	118	138
25	72	83	94	107	123	146
30	75	86	98	112	129	153
	30	90	102	117	135	161
From midnight vnto day	142	168	196	222	241		1
147	173	201	227	245		5
157	183	210	232	250		10
163	192	218	238	255		15
171	200	225	243	259		20
180	208	232	249	262		25* 1.8
191	216	237	254	267		30
	1	2	3	4	5	6

For the day. gra ♈

11		12	11	10	9	8	7		H	0
Staffe	5	16.	19	24	37:	74:		shad.
Squire	9	9:	8.	6.	4.	2		shad.
H	0	1	2	3	4	5
21		12	11	10	9	8	7	6	H	10
Staffe	13	14	16.	21:	30.	54	22:	shad.
Squire	••1	10	9	7	5	2	1.	shad.
H	0	1	2	3	4	5	6
31		12	11	10	9	8	7	6	H	20
Staffe	11:	12:	14.	18.	2••:	43	112	shad.
Squire	12	12	10	8:	5:	3	1	shad.
H	0	1	2	3	4	5	6

Aprill hath. xxx. dayes.

For the nyght.

	8	9	10	11	12
1	92	104	118	138	164	From midnight vnto day.
5	94	107	123	145	171
10	98	111	129	153	180
15	101	117	135	160	189
20	105	122	144	168	198
* 1.9 25	111	128	152	178	207
30	17	185	159	189	215
From euening to midnight.	103	210	229	255		1
* 1.10 99	••25	244	258		5
207	231	248	262		10
215	236	253	266		15
223	253	157	70		20
230	248	262	274		25
236	252	266	278		30
	1	2	3	4	5

For the day. gr. ♉

10		12	11	10	9	8	7	6		H	0
Staffe	10	11:	13	16.	23:	36:	76:		shad.
Squire	14	1:	11:	9:	:6:	4:	2:		shad.
H	0	1	2	3	4	5	6
21		12	11	10	9	8	7	6			10
Staffe	9	9	11	15	21	31	48	207	shad.
Squire	16	15	12.	9.	7	4	2	1	shad.
H	0	1	2	3	4	5	6
31		12	11	10	9	8	7	6	5	H	20
Staffe	8:	28	10	14	19:	28	49	139	shad.
Squire	18	17	14	10.	7:	5:	3:	1	shad.
	0	1	2	3	4	5	6	7

NOƲƲE ENSƲETHE THE nedeful necessary, peculiar Kalender to fore men∣cioned: with Instruments belonging therto. The compo∣sition, and appliance of the sayd Table, with the pleasaunt vse of them, are before suffi∣ciently opened: therefore further de∣claration here, might seme superfluous.

[illustration]

[illustration]

A necessary Instrument, to finde exactly, the houre of the day, and night diuers wayes, VVith helpe of this Peculiar Kalendare.

May hath. xxxi. dayes.

For the nyght.

2	8	9	10	11	12
5	117	••••3	160	190	2••6	From Euening to midnigt.
10	120	142	163	196	222
15	••28	••52	178	206	230
20	134	159	138	214	235
25	143	168	196	222	241
30	151	177	206	••30	248
	160	189	••21	236	••3••
From midnight vnto day	237	253	167	278
241	256	269	280		5
247	261	273	285		10* 1.11
252	266	278	288		15
257	270	281	296		20
262	274	285	296		25
266	278	288	300		30
	1	2	3	4	5

For the day. gra. ♊

2		12	11	10	9	8	7	6	5		H	0
Staffe	7	8.	10:	13	17:	26:	43	••00		shad.
Squire	20	18:	15.	11.	8.	5	3	1		shad.
H	0	1	2	3	4	5	6	7
22		12	11	10	9	8	7	6	5	4	H	10
Staffe	77	9.	11	17	24	39	82	25	80	shad.
Squire	21	19	15	13		8	4	2.		shad.
H	0	1	2	3	4	5	6	7	8
32		12	11	10	9	8	7	6	5		H	20
Staffe	6:	7:	9.	12	16	2••	••7	78	56:	shad.
Squire	22	29	16	12	9	6	4	2		shad.
H	0	1	2	3	4	5	6	7

Iune hath. xxx. dayes.

For the nyght.

	8	9	10	11	12
1	161	191	216	237	254	From euening to midnight.
5	169	197	223	242	257
10	180	207	231	249	262
15	191	216	237	254	267
20	199	224	243	258	271
25	207	231	249	262	275
* 1.12 30	216	237	254	297	379
From midnight vnto day.	2••7	279	290	301		1
270	282	292	303		5
274	285	297	308		10
279	290	301			51
283	293	394			20
286	297	308			25
290	301	82			30
	1	2	3	4	5

For the day.

1		12	11	10	9	8	7	6	5	4	H	20	gr. ♊
Staffe	6:	7:	9:	12	16.	23:	37:	74	5••:	shad.
Squire	22	20	16:	12:	9:	6:	4:	2:		shad.
H	0	1	2	3	4	5	6	7	8
12		12	11	10	9	8	7	6	5	4	H	0	gr. ♋
Staffe	6	7	9.	12.	16	23	37	72	565	shad.
Squire	22	20:	16.	12.	9	6	4	2	0	shad.
H	0	1	2	3	4	5	6	7	8
23		12	11	10	9	8	7	6	5	4	H	10
Staffe	6:	7	9:	12:	16:	23:	37:	74	565	shad.
Squire	22	20	16	12.	9:	6:	4:	2		shad.
	0	1	2	3	4	5	6	7	8

Iuly hath. xxxi. dayes.

For the nyght.

	8	9	10	11	12
1	219	239	255	268	280	From euening to midnight.
5	225	244	250	272	253
10	233	250	264	275	286
15	238	254	297	279	290
20	243	258	271	283	293* 1.13
25	249	262	275	286	297
30	254	267	279	290	300
From midnight vnto day.	290	302	83			1
293	304	86			5
297	79	90			10* 1.14
301	82	93			15
304	86	98			20* 1.15
308	89	101			25
82	93	106			30
	1	2	3	4	5

For the day.

3		12	11	10	9	8	7	6	5	4	H	20	gr. ♋
Staffe	7	7:	12:	16	24.	39:	82:	258:		shad.
Squire	21	19	15:	12:	8:	6:	4:	2:		shad.
H	0	1	2	3	4	5	6	7	8
14		12	11	10	9	8	7	6	5		H	0	gr.♌
Staffe	7	8	10.	13.	17	26	43	100		shad.
Squire	20	18:	15.	11.	8	5	3	1		shad.
H	0	1	2	3	4	5	6	7
24		12	11	10	9	8	8	7	6	5	H	10
Staffe	8:	8	10:	14:	19:	28:	46:	139		shad.
Squire	18	17	14	10.	7:	5:	3:	1		shad.
H	0	1	2	3	4	5	6	7

August hath .xxxi. dayes.

For the nyght.

	8	9	10	11	12
1	255	257	279	291	302	From euening to midnight.
* 1.165	250	272	284	294	304
10	203	275	286	297	79
* 1.1715	267	279	290	300	81
20	270	282	292	303	86
25	274	285	296	308	88
30	278	288	299	81	92
From midnight vnto day.	82	94	107	122	141	1
86	98	111	126	146	5
89	102	116	132	154	10
93	105	119	138	160	15
96	110	125	144	167	20
* 1.18100	114	130	152	174	25
104	118	136	158	183	30
	1	2	3	4	5

For the day.

3		12	11	10	9	8	7	6	5	H	20	gr. ♌
Staffe	9	9:	11:	15	21.	31:	58:	207:	shad.
Squire	16	15	12:	9:	7:	4:	2:	0:	shad.
H	0	1	2	3	4	5	6	7
14		12	11	10	9	8	7	6		H	0	gr. ♍
Staffe	10	11	13.	16.	23	36	76		shad.
Squire	14	13:	11.	9.	6	4	2		shad.
H	1	2	3	4	5	6
24		12	11	10	9	8	7	6		H	10
Staffe	11:	12	14:	18:	26:	43:	11:		shad.
Squire	22	12	10	8.	5:	3:	1:		shad.
	0	1	2	3	4	5	6

[illustration]

North. West. East. South.

❧Thus is ended the Peculiar Kalender, very cōmodious for the day and night houre. I haue here adioyned the Instrument vvithout the Square, vvhiche maye sufficie for the whole vse of the toforesaide Kalendar, with the helpe of the Squire and Staffe.

I May not here omitte a Kalender generall deuided in two partes, wherof the first containeth six Monethes, from Ianuary to Iune: The second other six monethes from Iuly to December. In thys Kalendar are setforth the Festiuall dayes, the entring of the Sunne in the Signes celestiall, the euill dayes noted with one Prick. For a further declaration of those euill dayes, read this folowing.

The yeare hath .xxxiii. euil daies general for euer.

IANVARY hath eyght such daies, the .i. the .ii. the iiii. the .v. the .x. the .xv. the .xvii. the .xix. Drinke white wine this Moneth.

February hath thre dayes, the .viii. the .x. the .xvii. these not so euil, the xxvi. the .xxvii. the .xxviii. Eate no potage of okes or malowes: They are venemous.

Marche three dayes .the .xv. the xvi. the .xix. this not so euill, the xxviii. day. This moneth, all swete meates are good.

April. two dais the .xvi. the .xxi. these not so euil, the vii. the .viii the x. the .xx. Ʋse hote meates, of light digestion.

May three dayes, the .vii. the .xv. the .xx. these not so euill, the iii. the .vi. Rise early, and vse breakfast.

Iune two, the .iiii. the .vii: these not so euill, the .x. the .xi the .xxii. Sage & lettuse are good to eat. Cold water fasting hurteth not.

Iuly two dayes, the .xv. the .xx, abstain from earnality.

August two dayes, the .xix. the .xx. these not so euill, the first, the xxix, the .xxx. It hurteth not to abstaine from potage, and all hotte meates and drinkes of spicery.

September two daies, the .vi. the .vii. these not so euil, the .iii. the iiii. the .xxi. the .xxii. Eate good fruit.

October one day, the vi: these not so euil, the iiii. the xvi. the. xxiiii God wyne is olsome this Moneth.

Nouember two dayes, the .xv. the .xix: these not so euil. the .v. ••t the .xxviii, the .xxix. Blede not.

December thre daies, the .vi. the .vii. the .ix. thesedais not so euil, the .xv the .xvii. the .x xii. Blede not ouer muche. Warme not thy legges at the fyre.

¶The first part of the generall Kalendar: from Ianuarie to Iune.

Ianuarie.	Februarie.	March.	Daies	April.	May.	Iune.
:A Circūci.	d	d	1	g	b Phi. Iac.	e
:b	e Purifi.	e	2	A	c	f
c	f	f	3	b	.d	g
:d	g	g	4	c	c	:A
:c	A	A	5	d	f	b
f Epiph.	b	b	6	e	.g	c
g	c	c	7	.f	:A	:d
A	:d	d	8	.g	b	e
b	e ☉ in ♓	f	9	A	c	f
:c	:f	f	10	.b	d	.g
d ☉ in ♒	g	g ☉ in ♈	11	c ☉ in ♉	e	A Barna.
e	A	A Spring.	12	d	f ☉ in ♊	b ☉ in ♋
f Hilar.	b	b	13	e	g	c Sūmer.
g	c Valen.	c	14	f	A	d
:A	d	:d	15	g	:b	.e
b	e	:e	16	:A	c	f
:c	:f	f	17	b	d	g
d	g	g	18	c	e	A
e	A	:A	19	d	f	b
f	b	b	20	.e	:g	c
g	c	c	21	:f	A	d
A	d	d	22	g	b	.e
b	e	e	23	A Georg.	c	f
c	f Ma.	f	24	b	d	g Ioā bap.
d Cō. Pau.	g	g Ahun.	25	c Marc.	e	A
e	A	A	26	d	f	b
f	.b	b	27	e	g	c
g	c	.c	28	f	A	d
:A		d	29	g	b	e Pc. Pa.
b		e	30	A	c	f.
c		f	31		d

¶The seconde part of the generall Kalendar: from Iulie to December.

Iuly.	August.	Sepemb.	Dayes	October.	Nouem.	Decem.
g	.c Pet. Vin.	f	1	A	d Om. sā.	f
A	d	g	2	b	e Om. ani.	g
b	e	.A	3	.c	f	A
c	f	.b	4	d	g	b
d	g	c	5	e	.A	c
e Dog beg.	A	:d	6	:f	.b	:d Nicol.
f	b	:e	7	g	c	:e
g	c	f Na. Ma.	8	A	d	f Cō. ma.
A	d	g	9	b	e	:g
b	e	A	10	c	f	A
c	f	b	11	d	g	b
d	g	c	12	e	A	c ☉ in ♑
e	A	d	13	f	b ☉ in ♐	d wynter.
f ☉ in ♌	b ☉ in ♍	e ☉ in ♎	14	g ☉ in ♏	c	e
:g	c	f Heruest.	15	A	:d	.f
A	d	g	16	.b	e	g
b	e Dog end	A	17	c	f	.A
c	f	b	18	d Luc.	g	b
d	:g	c	19	e	:A	c
:e	:A	d	20	f	b	d
f	b	.e Mathe.	21	g	c	e Tho. ap.
g Ma. mag.	c		22	A	d	f
A	d	g	23	b	e	g
b	e Barho.	A	24	.c	f	A
c Iac. Apo.	f	b	25	d	g	b Na. do.
d	g	c	26	e	A	c Steph.
e	A	d	27	f	b	d Io. eud.
f	b	e	28	g St. Iud.	.c	e Innocē.
g	.c decol. Io.	f Micha.	29	A	.d	f Tho.
A	.d	g	30	b	e Andre.	g
b	e		31	c		A

Io the briefe vse of this generall Kalendar.

ENtre the Columpne where youre Moneth is noted in the hedde, ye shall there fynde run∣ning downe the Columpne the Festiuall dayes of that Moneth, the entrie of the Sunne in the Coelestiall Signes, the Euill dayes pricked &c.

I woulde haue placed in this Kalendare the Fayres, Termes also, but that canne not remaine continuall true: For those that ensue mouable Feastes are moueable, and therfore may haue no certayne place, For the Termes, note these preceptes folowing The Fayres, shalbe declared by two Table immediatly ensuyng this Kalendar generall.

How to know the Termes.

KNow therfore, that Easter Terme alwayes begynneth the 18. daye after Easter, rekening Easter daye for one: and endeth the Monday next after the Ascention day.

Trinitie Terme heginneth the Friday next after Corpus Christi day: and endeth the VVednesday fortnight after.

Michaelmasse Terme beginneth the 9 or 10 day of October: and en∣deth the 28 or 29 of Nouember.

Hilary Terme beginneth the 23 or 24 day of Ianuary: and endeth the 12 or 13 day of Februarye,

FINIS.

Generall Faires

A Table containing the Moneth, Daye, and Place of the principal Fayres of England: to be augmented at pleasure in order folovvyng

• Ianuary. The 6. day at Bristow, at Salisbery. The first of Lent at Exeter.
• February. The 2. day at Bathe, at Maydstone. The 14. at Feuersame. Ash∣wednesday, at Lychfelde, at Royston, at Tamworthe. The firste monday in Lent, at Cisiter, at Abington. The 24. at Henlye vpō. Temmes, at Teukesbury.
• Marche. The 4. Sonday in Lent, at Stanforde, at Sudbery. The 5. Sonday at Grantam, at Salibury, the Monday before our Lady daye at Wisbich Palme euen The 13. at Wye. The 25. at Northampton, at Great Chart at Waulden.
• Aprill. The 5. day at Walyngford. The 7. at Darby. The 9. at Byckel∣worth, at Bylling worth, at Easam the Mundy after The 3. Sonday after Easter at Louth. The 23. at Charing, at Ipswiche, at Amtill, at Hinigam, at Gilforde The 25. at Darby. The 26. at Tenterdē.
• May. The 1. day at Stow the old, at Readynge, at Maydstone, at Lei∣ceter, at Chensford The 8. day at Beuerly, Ascention day, at Bir∣mingcham, at S. Edes, at Byshoppes Statforde. VVithsondaye, at Kngstone vpon Temmes. Trinity Sondaye, at Rouel, at Cran∣broke. The 19. day, the 27. day at Lenham.
• ...Iune. Corpus Christi. at Couentry, S. Edes, at Byshop Stanforth, at Rosse. The 9. at Maidstone. The 11. at Okingā. The 23. Shrowsbu¦ry, at S. Albons. The 24. at Cambridge, at Glocestre, at Lincoln, at Winsor Colchester. The 29. at Woller, at Hāpton, at Peterbo∣row. The 17 at Folkston. The 24 at Harisā. The 28. at Hetcorn.

A Table containing the Moneth, Day, and Place of the principal Fayres of England: to be augmented at pleasure in order folowyng.

• Iuly. The 11. daye Horse fayre at Partney at Nabor, at Felir. The 12. day at Lyd. The 15. at Pinchbacke. The 17. at Wynchecome. The 20. at Ʋxbridge, at Cattesby. The 22. at Marborow, at Win∣chester, at Colchester, at Tetbery The 25. at Bristow, at Douer at Chilham, at Ipswitch, at Northhamptō, at Darby, at s Iames by London, at Reading, at Lowth, at Maelsbery.
• August. The 1. day at Feuersame, at Dōstable, at S. Edes, at Budforth at Marram Churche, at Wysbyche. The 9. at Rumney. The 10. at Bedford, at Fernam, at Strodes, at Blakamore S. Lau. at Walton. The 24 at London, at Tewxsbery, at Sudberry, at Nor∣wich, at Northalerton, at Douer, at Rie. The 28. at Ashforde.
• September. The 8. day at Cambridge, at Sturbridge, at London in South∣work, at Smide, at Recoluer, at Partney thre Lady daies. The 14 at Waltam Abbie, at Wotton vnder Hedge, at Smaldinge. The 21 at Croydon, at Hulden in Holdernesse, at S. Edmonds bery, at Maulton, at S. Iues, at Haldy Lanam, at Wyltemal, at Sitting∣borowe, at Douer, at Estrie. The 29 day at Canterbury.
• October. The 6 daye at S. Sithes beside Norwitche. The 13 at Graues ende, at Winsor, at Marchefelde. The 18 at Elye, at Staneton, at Charing. The 28 at Harford, at Ciciter, at Newmarket.
• Nouember The 2 daye at Kingston, at Blechinglye. The 6 at Newporte ponde, at Standly. The 11 at Douer. The 13 at S. Edmonds bery The 20 at Hyth. The 23 at Sandwyche. The 30 at Rochester, at Maydenhead.
• Decē•••••• The 29 at Canterbury. The 5 at Pluckley. The 6. at Spalding. The 7 at Sanderst.

BEcause I vnderstand many are desirous how to get ex∣exactly the iust length of Staffe and Squier shadow before treted of, vpon vnleauell groundes, or other wayes where so euer it be, yea withoute ather Squier or Staffe. I haue calculated a Table folowing, thorowly satisfying thē, so y^e they get y^e height of the Sunne any way, or as I shal now enstruct.

Behold this Instrument called a Quadrant the iust fourth part of a Circle. euen suche a Circle as I taughte you before to make for the nyght Dyall: cōtaining the fourth part of his diuisions, that is 90 degrees, only two syghts and a plume lyne added, to be placed at the beginning of this booke as ye may there: and here see. I haue here also put the Scale to the Quadrant, whiche serueth well for shadowes, and as well for heyghtes. the vse of this Scale is decla∣red in my boke called Tectonicon.

[illustration]

How by this Instrument to get the height of the Sunne at all tymes.

LEtte vp hansomly your Quadrant the Sunne beames persyng y^e sightes. The Plommet and Lyne then at liberty falling, noteth there the degrees of height at that present, with the whyche shal entre this Table immediatle folowing, to get them, and in like maner at all other times the iust shadow of the Stue or Squyer.

A Table generall of Shadowes, right and contrary for euery grade of the Sunnes heyght: The thinge cau∣sing Shadowe, supposed .12 partes.

Heyght of the Sunne.	Staffe. Shadow.	Heyghte of the Sunne.	Staffe. shadow.	Heyghte of the sunne.	Staffe. Shadowe.
G	g	P	M	G	G	P	M	G	g	P	M
0	90	Sha	m.	30	60	20	47	60	30	6	56
1	89	687	34	31	59	19	58	61	29	6	39
2	88	343	43	32	58	19	12	62	28	6	23
3	87	228	59	33	57	18	29	63	27	6	7
4	86	171	37	34	56	17	47	64	26	5	51
5	85	137	10	35	55	17	8	65	25	5	36
6	84	114	0	36	54	16	30	66	24	5	21
7	83	97	49	37	53	15	52	67	23	5	6
8	82	85	28	38	52	15	21	68	22	4	51
9	81	75	46	39	51	14	49	69	21	4	36
10	80	68	3	40	50	14	18	70	20	4	22
11	79	61	44	41	49	13	48	71	19	4	8
12	78	56	27	42	48	13	20	72	18	3	54
13	77	51	59	43	47	12	52	73	17	3	40
14	76	48	8	44	46	12	26	74	10	3	26
15	75	44	47	45	45	12	0	75	15	3	13
16	74	41	51	46	44	11	35	76	14	3	0
17	73	39	15	47	43	11	11	77	13	2	46
18	72	36	54	48	42	10	48	78	12	2	32
19	71	34	51	49	41	10	26	79	11	2	20
20	70	32	58	50	40	10	4	80	10	2	7
21	69	31	16	51	39	9	43	81	9	1	54
22	68	29	42	52	38	9	22	82	8	1	41
23	67	28	16	53	37	9	3	83	7	1	28
24	66	26	57	54	36	8	43	84	6	1	16
25	65	25	44	55	35	8	24	85	5	1
26	64	24	37	56	34	8	6	86	4	0	50
27	63	23	33	57	33	7	48	87	3	0	38
28	62	22	34	58	32	7	30	88	2	0	25
29	61	21	40	59	31	7	13	89	1	0	12
30	60	20	47	60	30	6	56	90	0	0	0
Heyght of the Sune.	Squier. Shadow	Heyht of the Sunne	Squier. Shadow.	Heyght of the Sune.	Squyer. Shadow.

The vse of thys Table, and fyrst for Staffe Shadow

Ensample:

I Suppose the height of the Sūne taken by the Qua¦drant 34 degrees, nowe I require the exacte length of Staffe and Squier Shadowe. For ryght shadowe, first seke out the degrees in the left part of y^e Table and vnder this title the heighte of the Sun: if they be not in that lefte rowe downewardes, resorte to the next rowe and lyke tytle, vntyll ye fynde the degrees, then in ryght order toward the right hand, in the next Columpne vnder the title of Staffe Shadow, are 17 partes and 47 minuts, your desyre.

For Squyer Shadowe, titled contrary Shadow.

SEke your degrees in the ryghte parte vpwarde at thys title Heyght of the sunne, in the botome of this Table: then shal ye find on the right hand of 34 degrees, in the next Columpn 8 partes and 6 Minutes: that is the very lengthe of Squier shadowe, when the Sunne is 34 degrees in height.

OCcasioned I cannot here omitte an other Table faythfullye supputated for the Sunnes altitude, by the which with quicke speade the houre is knowen. This Table conducteth many∣folde wayes, yea to the Composition of diuers and many Instru∣mentes: as Quadraūtes, Nauicles, Cylindres. Rynges. &c.

Beholde now it doth ensue, and also the brief vse of it.

A Table of the Sunnes altitude for euery hou•• Pole mounted. 51. degrees 30. Minutes, exactely calculated.

Houres before n.	12		11	10	9	8		7	6	5	4
Houres after n.			1	2	3	4	5	6	7	8
Si.	G	S	G	g	M	G	M	g	M	g	M	g	M	g	M	g	M	g	M	g	M
	30	♋	0	62	0	59	45:	53	45	45	42	36	42:	27:	23:	18	11	9	28:	1	31.
	25		5	61	54
	20		10	61	37:	59	21.	53	26:	45	24	36	25	27	6	17	50.	9	9.	1	13:
	15		15	61	9:
	10		20	00	30:	53.	17	52	23.	44	32	35	35	25	16.	17	3	8	16.	0	16:
	5		25	59	41:
♊	0	♌	0	58	42:	56	34	50	55:	43	6.	34	13.	24	56:	15	41:	6	10.	0	0
	25		5	57	34:
	20		10	56	17:	54	15	48	48	41	10:	32	22.	23	6.	13	50	4	55:	0	0
	1		25	51	43:
♉	0	♍	0	50	0	48	11.	43	11.	39	53	27	27	8	13	8	5••:	0	0
	25		5	48	21:
	20		10	46	20:	44	37	39	51	32	53:	24	32.	15	27.	6.	8.	0	0
	15		15	44	25:
	10		20	42	23:	40	51:	36	18	2••	34:	21	24:	12	25:	3	6.		0
	5		25	40	29:
♈	0	♎	0	38	3••	36	58	32	37.	26	7:	18	••	9	16.	0	0
	25		5	36	30
	20	10	34	32	33	4	28	55:	22	38:	1••	51:	6	7	0	0
	15		15	32	35.
	10		10	30	40.	29	16.	25	18	19	14	11	33	3	••:	0
	5		25	28	48
♓	0	♏	0	27	0	25	40	21	51:	15	59:	8	34.	0	6.
	25		5		25	17.
	20		10	23	39.	22	22.	18	42:	13	1:	5	45.	0
	15		15	22	8.
	10		20	20	43.	19	29	15	55.	10	23:	3	19.	0
	5		25	19	26									0
♒	0	♐	0	18	18.	17	6	13	38:	8	13:	1	15.	0
	25	5	17.	19.
	20		10	15	30	14	48.	11	55.	6	36:	0	0
	15		15	15	51
	10		20	15	23.	14	13	10	52	5	36	0
	5		25	15	6
♑	0		0	15	0	13	51	10	30.	5	15.

ƲƲhen the Sunne cutteth the 22 grade of ♋ he toucheth our Horizonat 4 in the morninge Entring the 22 of ♑ he ry∣seth at 8 in the fyrste of ♉ at 5. in the first of ♍, at. 7. Note in all my tables, one pricke folowing the Minutes, diminissheth: two, aug∣menteth some smale quantitye

Notes

• * 1.1

  He that desi∣reth manifold fruites of this instru∣mēt, legat gē me fricii de radio astrono∣mico, & geo∣metrico, li∣brum.
• * 1.2

  Alramech.
• * 1.3

  Oculus Tauri
• * 1.4

  Alramech.
• * 1.5

  Alramech.
• * 1.6

  Oculus Tauri
• * 1.7

  Alramech.
• * 1.8

  Alramech.
• * 1.9

  Alramech.
• * 1.10

  Alramech.
• * 1.11

  Alramech.
• * 1.12

  Alramech.
• * 1.13

  Alramech.
• * 1.14

  Alramech.
• * 1.15

  Oculus Tauri
• * 1.16

  Alramech.
• * 1.17

  Oculus Tauri
• * 1.18

  Oculus Tauri