❧ The hauen-finding Art, Or The way to finde any Hauen or place appoynted at sea.
THere is no man, I suppose, that knoweth not with howe great diligence now of a long time (especially since men leauing no part of the world vnattempted, haue sayled into America, and to the vtmost Indies) the searchers out of excellent things haue sought some certaine way, whereby they which take charge of ships might know assuredly the situation and longitude of what place soeuer they would goe vnto, and so come to any Hauen or place appointed at sea. But I know not how it hath comne to passe, that there could not hitherto any certaine knowledge of that matter be attayned vnto. For some when they indeuoured to find this thing by the magneticall needle gaue the Load-stone it selfe a Pole, which of the Load-stone (called also the Magnete) they named the magnetical Pole, or Pole of the Loadstone. But that this is otherwise, the thing it selfe hath [Page 2] taught vs, because the variation of the needle is found not to follow the rule of that Pole. Yet in the meane time this continuall searching gaue occasion of another meane whereby a ship might certainly direct her course vnto any hauen or place at sea whereto you would desire to go, although the true Longitude both of the place wherein the ship is, as also of the place where the hauen is, were both vnknowen. Which that it may in some sort be rudely shewed, and that the circumstances hereof may more clearely be set foorth before your eyes, whereby there may ensue a more certaine and general vse of the same, first of all it must be knowen that wee are taught by dayly experience, that the magnetical needle touched with the Loadstone or Magnete (which therefore we call the magneticall needle) doth not alwayes point out the same part of the world, but without any respect of that magnetical Pole, (whereof we made mētion before) sometimes indeed it sheweth the true place of the North: but for the most part it declineth either towards the East or West: which variation, yea euen in a small distance of places, hath most manifestly appeared to them which haue directed their course from the easterne parts towards the West: For examples sake at Amsterdam the variation is 9 degrees and 30 min. towards the East. In the foreland of England 11 deg. At London 11 deg. 30 min. Neare Tinmouth in the sea 12 deg 40 min and so forth.
How any Hauen or place at sea may be found, the latitude and variation of the same place only being knowen.
THe variation of the magnetical needle, and the latitude of the place being knowen, the same place may be found, although the longitude be vnknown & that dayly experience plentifully teacheth. For (that we may make this matter plain by examples especially) if the mariner know that the latitude of the citie of Amsterdam is 52 deg. and 20 min. and that the variation of the cōpasse in the same place is 9 deg. & 30 min. he must needs not be ignorant, that when he hath brought himselfe to that latitude and variation he is not farre from Amsterdam, what lōgitude soeuer that citie haue. But some man may obiect, that there are many places which haue the same latitude and variation that the citie of Amsterdam hath: whereto we may readily answere that indeed there be such places: but yet very farre distant from thence, and such as may easily bee knowen by other circumstances, whereof we shall speake hereafter. And although the mariners may find Amsterdam otherwise, as by the places neere adioining, by coniectures, by the soundings, by the sands, & many other signes without any regard of the variation: yet I thought good to propound a knowen place for example, that the vniuersality of the same rule might be knowen in long nauigations, wherein no land appeareth. As for example if the master of a ship desire to sayle from hence to Cape S. Augustine in Brasile, and know that the variatiō there (as it is reported) is 3 deg. [Page 4] and 10 min. & the latitude 8 deg. 30 min. towards the South, when in going thitherwards he shall come to that latitude, and variation, he shall then know that he is come to the Cape of S. Augustine: and although he thinke otherwise by his coniecture, and reckoning, yet not regarding that coniecture he shall confesse himselfe either to haue gessed ill, or els to haue beene deceiued with some easterne, or westerne currents: For reason will not suffer vs to thinke that that variation which before was found at the Cape of S. Augustine is changed, that he should need to yeeld himselfe to that opinion. So also who will not esteeme it to bee absurd, and altogether against reason, that hee which knoweth very well that he findeth at sea another variation then that which is at Cape S. Augustine, of 3. degr. 10 min. should notwithstanding, neglecting the experience of the variation, and resting vpon coniecture only, affirme that he is neere the Cape S. Augustine? Because he speaketh contrary things, when he sayth that the variation there is 3 degrees 10 minutes, and againe auoucheth that it is not.
Neither is this vnworthy the marking, which hath often happened, that he which should haue sayled to the Isle of S Helena, when he was come to the latitude of the same Iland, & saw not there the Iland, & was also ignorant whether he were to the eastwards or westward frō the same, by coniectures sought that place towards the East, which indeed lay frō him towardes the west, & so the further he sayled the further alwaies he went from that Iland. Now I leaue it to thy consideratiō, if he (whosoeuer he were that was master of that ship, which diligently sought that Iland for the [Page 5] space of certaine weekes, tacking about also diuers times before he could find any place to abide in) if he I say had not bene ignorant what the variation of the compasse was at S. Helens Iland, and what the vse of the variation is at sea, and how to find it out: I leaue it, I say, to thy cōsideration, whether he would willingly haue floated doubtfully to and fro following a greater variation, knowing assuredly that the variation there was lesser.
Hereby it may easily be conceiued how great vse there is of the variation, when they especially which in sayling folow the lines shewing the courses (which lines because now they haue found this name among the Portugales we cal Rumbs, the ignorance of which (lines) can hardly be permitted in them which attēpt long voiages vpō the huge ocean) ought euery where to know certainly the place of the true North, which is cōmonly found by the knowledge of the variation.
If any man likewise consider the vncertaine situation of those places which are set into Globes or sea Charts by the mariners relation, which vncertaintie taketh his beginning from hence, because euery man thinketh that to be the true place of the North which is shewed by the Flower de luce (as they call it) of the compasse which they brought with them from home, (which thing also bringeth no lesse doutfulnes to the mariners themselues) hee will thinke (and that not without cause) that the obseruation of the variation is a very needfull thing euen for this cause also: Because it is an easie matter to place the Flower de luce in such sort that it shal not misse any thing in shewing the true North part of the world, to wit, if one moue [Page 6] the magneticall needle, or points of the wires in the Compasse from the Flower de luce so much as neede shall require.
These things therefore hauing bene obserued and granted, and this especially that the variation altereth according to the variety of countries, (as by the common testimony of al men it is proued) it is in some sort manifest that they which denie this varying property to be of very great vse for nauigation, are either wiser then the common sort, and haue some hidden secrets which are not reueiled to euery man, or els are notable fooles and mad men.
Therefore when the most excellent Prince Maurice, hauing throughly considered hereof, thought that it might assuredly be brought to that passe that mariners might receiue great profit by this meanes; he (the high Admirall) gaue commaundement to all the cōpanies of the Admiralty (adioining also thereto a certaine introduction) that they should doe their best indeuour, that all masters of ships should prouide themselues for this purpose: that is to say, that to what place soeuer they should come, they should seeke out the declination of the magneticall needle from the North, or the variation of the Compasse, not lightly, running ouer the matter as it were by the way, and for fashions sake onely; but with great carefulnes and diligence, taking with them meete and needfull instruments for that purpose: and that after their returne into their countrie they should truely and faithfully certifie their companies or bortherhoods of the Admiralty, of that matter: that the selfe same experiments being by them brought into good order, [Page 7] might be published for the common good.
But that euery man may more perfectly learne the circumstances of this matter, I thought it meete here to set downe certaine principles of this thing, which is yet notwithstanding to be further searched into by more experiments, in which shall be shewed a generall view or table of those places, whose variations haue already bene obserued by the learned Geographer Petrus Plancius, with continuall labour, and not without great charges, from diuers corners of the earth neere and farre off: whom for honours sake I therefore name, that as well they that shall hereafter finde out places or hauens after this manner, as also they that haue already found, may know that they are bound to giue thankes to Plancius alone, as to him that is the chiefe cause of this obseruation. But that table or generall viewe of variations, whereof there shall hereafter followe a plainer declaration is this.
Northeasting. | Latitude. | Longitude. | |||||||
Deg. | Mi. | Deg. | Mi. | Deg. | Mi. | ||||
The Northeasting, or the East variation of the firstpart or space towards the North | Increasing. | In the Flemish Iland Coruo | 0 | 0 | N 37 | 0 | 0 | 0 | |
In the Flemish Iland Saint Mary | 3 | 20 | N 37 | 0 | 8 | 20 | |||
Neere the Iland Maio | 4 | 55 | N 15 | 0 | 11 | 20 | |||
At Palma one of the Canarie Ilands | 6 | 10 | N 28 | 30 | 16 | 20 | |||
At the Rocke neere Lisbon | 10 | 0 | N 38 | 55 | 24 | 30 | |||
In the Westermost part of Ireland | 11 | 0 | N 52 | 8 | 24 | 12 | |||
In the West part of England | 12 | 40 | N 50 | 21 | 28 | 0 | |||
Decreasing. | About one mile Eastward from Plimmouth | 13 | 24 | N 50 | 18 | 30 | 0 | ||
By Tinmouth in the Sea | 12 | 40 | N 55 | 0 | 33 | 0 | |||
At London in England | 11 | 30 | N 51 | 24 | 34 | 6 | |||
In the foreland of England | 11 | 0 | N 51 | 8 | 35 | 40 | |||
In Amsterdam | 9 | 30 | N 52 | 20 | 39 | 30 | |||
Northwesting | |||||||||
The Northwesting, or the West variation of the second part or space towards the North | Increasing. | At Helmshade to the Westward from the North Cape of Finmarke | 0 | 0 | 60 | 0 | |||
At the North Cape of Finmarke | 0 | 55 | N 71 | 25 | 61 | 30 | |||
At Norquinda | 2 | 0 | N 71 | 10 | 63 | 30 | |||
At S. Michael or Archangel in Russia | 12 | 30 | N 64 | 54 | 83 | 30 | |||
In the South streight of Vaigatz | 24 | 30 | N 69 | 30 | 103 | 0 | |||
At Langenes in Noua Zembla | 25 | 0 | N 73 | 20 | 100 | 30 | |||
Decreasing. | In Williams Iland In Noua Zembla | 33 | 0 | N 75 | 35 | 110 | 0 | ||
At Yshouck In Noua Zembla | 27 | 0 | N 77 | 12 | 120 | 30 | |||
At Winterhouse In Noua Zembla | 26 | 0 | N 76 | 0 | 120 | 30 | |||
[Page 9] | Northeasting. | Latitude. | Longitude. | ||||||
Deg. | Mi. | Deg. | Mi. | Deg. | Mi. | ||||
The Northeasting of the first part or space towards the South. | Increasing. | 105 Spanish leagues Westwards from Cape S. Augustine in Brasile | 0 | 0 | S | 0 | 0 | ||
At Cape S. Augustine in Brasile | 3 | 10 | S 8 | 30 | 5 | 0 | |||
North and South with Cape das Almas in Guinea | 12 | 15 | S 0 | 0 | 29 | 0 | |||
Towards the Northwest Northerly frō the Ilands of Tristan da Cuncha | 19 | 0 | S 31 | 30 | 30 | 0 | |||
Decreasing. | Towards the Northwest, Westerly frō the same Ilands | 15 | 0 | S 31 | 30 | 36 | 0 | ||
North & South with the Cape of Good Hope | 2 | 30 | S 35 | 30 | 57 | 0 | |||
Northwesting. | |||||||||
The Northwesting of the second part or space towards the South, except Goa, Cochin, and Cantan. | Increasing. | 17 Germane miles from Cape das Aguillas Eastwards | 0 | 0 | S | 60 | 0 | ||
5 miles in the Sea frō Terra de Natal | 4 | 30 | S 33 | 0 | 66 | 0 | |||
At the shoulds of Indie | 11 | 0 | S 22 | 0 | 79 | 30 | |||
In Mosambique | 11 | 0 | S 14 | 50 | 81 | 40 | |||
In the Baie of S. Augustine in Madagascar | 13 | 0 | S 23 | 30 | 83 | 0 | |||
Southwards from Cape S. Romane | 16 | 0 | S 28 | 0 | 86 | 20 | |||
In Anthonie Gills Baie in Madagascar | 15 | 0 | S 16 | 20 | 91 | 0 | |||
Decreasing. | 34 Germane miles Southeast from Brandaon | 22 | 0 | S 19 | 20 | 110 | 0 | ||
In Goa a famous Mart towne in Indie | 15 | 10 | N 15 | 30 | 120 | 0 | |||
In Cochin | 15 | 0 | N 9 | 45 | 120 | 0 | |||
25 Germane miles West. a little Northerly from the Southwest corner of Sumatra | 6 | 0 | S 5 | 28 | 147 | 0 | |||
In Bantam a Mart towne of Iaua | 4 | 45 | S 6 | 0 | 150 | 0 | |||
In the Iland Lubocqua | 2 | 25 | S 6 | 10 | 155 | 0 | |||
In the Southwest corner from the Ile of Balij | 1 | 30 | S 8 | 40 | 157 | 0 | |||
In the mouth of the riuer Cantan in China | 0 | 0 | N 23 | 0 | 160 | 0 | |||
In Bunam 46 Dutch miles Eastwards from the East part of Iaua | 0 | 0 | S | 160 | 0 |
A declaration of the former Table or view of variations.
BEfore we come to the declaration of this Table, this first of al we would not haue vnknowen, namely, that if perchance hereafter by more diligent and more exact experience, any other variation, longitude, or latitude of places can be found, then that which is set downe in this Table, so as it should be needfull to change the definitions and expositions of some things and wordes here set downe: yet we ought not therefore to be scarred from this purpose; but much rather ought we to striue with al our strength to attain thereto, that by litle and litle we may come to a more certaine knowledge of things, building vpon these as vpon foundations: we therefore following this opinion will prosecute that as true, which at this time is most like to be true; that if others also doe the same when occasion is giuen, we may alwaies come neerer to that which is most true in the nature of things.
Which things being omitted, that we may come to the declaration of the former Table, first of all we say, that the first of the three columnes which thou seest in the table, sheweth the variation of the place, the second, the latitude, to which the third is adioyned conteyning the longitudes, as we could by coniecture attaine vnto them, that the places might so much the more easily be found in the globe, and the manner of the variations might more plainely be shewed in that which followeth hereafter. The marke of the letter N in the second colume, signifieth North latitude, and S South.
Then, because in them mention is made of the variation, [Page 11] of the Northeasting, of the Northwesting increasing or decreasing, all which (as proper words of Art) haue neede of their seuerall definitions: first of all we must know that the Magnetical needle in one and the same place, doth alwayes shewe the same part of heauen, but not the same part in all places: for in some places it pointeth due North, in other places it declineth more or lesse to the East or West. Therefore in manner of a definition, we will say thus:
The first definition.
THE declination of the Magneticall needle from the North towardes the East, is called the Northeasting, towards the West, Northwesting; and with a generall name it is called the variation: but the variation and the Northpointing of the needle (that is the pointing of the needle due North) may by a generall name bee called the needlepointing, or pointing of the needle.
As concerning those words of increasing and decreasing, as also of the first and second part or space, before we come to the definitions of them, they haue neede of some precedent declaration. It may be seene in the Table of variations, that in Coruo the Magneticall needle pointeth due North: but after that, the more a man shal goe towards the East, so much the more also shall he see the needle varie towards the East, till he come one mile to the Eastward from Plimouth, where the variation comming to the greatest is 13 degr. 24 min. From hence the Northeasting beginneth to decrease, til you come to Helmshude (which place is Westwards from the North Cape of Finmark) where againe [Page 12] the needle pointeth due North. Now the longitude from Coruo to Helmshude is 60 degr. Which things being well weighed, it appeareth that the greatest variation 13 degr. 24. minutes at Plimmouth (the longitude whereof is 30 degr.) is in the midst betweene the places where the needle pointeth due North. For 30 degrees is the midst betweene the beginning and 60 degrees. And what is here said of the North part, experience teacheth that the same taketh place in the south part also, for 105 Spanish miles from Cape S. Augustine at the beginning of longitude, againe it pointeth due North, as it doth 17 Germaine miles from Cape das Aguillas (as it appeareth by the table of variations) which place is in the longitude of 60 degrees, and in the middest betwixt both at 30 degr. (as in the North part) again there is the greatest Northeasting; of which place there was this mention made in the Table or view of variations: towards the Northwest northerly from the Ilands of Tristan da Cuncha, where the variation is 19 degrees.
Out of these we may conclude, that the Magnetical needle doth point due North in euery place situate in two meridian halfe-circles drawen from the one pole to the other by Coruo and Helmshude. And that the greatest Northeasting is in all places situate in the meridian semicircle drawen by that place, which we said was distant one mile from Plimmouth towards the East. So as that part of the earth which is conteyned betweene two Meridian semicircles, distant each from other 60. degrees in longitude, is the space wherein the Magneticall needle, alwayes declineth from the North towards the East. And the halfe of that part, that is, that [Page 13] portion of the earth which is included betweene two Meridian semicircles, the first of which is drawen by the beginning, the other by the 30 degr. of longitude, is euery where the place of the Northeasting increasing: but the other halfe is the place of the Northeasting decreasing, to wit, when one goeth from the West Eastwards, following the order of the degrees of longitude.
By this that hath beene spoken of the first Segment, with the Northeasting and his parts (in one of which parts the Northeasting is increasing, in the other decreasing) it may easily be vnderstood what the manner of the second Segment is with the Northwesting, and what is the manner of the partes thereof, whereof one is the part of the Northwesting increasing, the other is the part of the Northwesting decreasing, for in the mouth of the riuer Cantan in China, at the longitude of 160 degrees distant from Coruo, the needle pointeth due North the third time: there therfore drawing the third Meridian semicircle, the portion of the earth betweene the foresaid second Meridian semicircle, and this third (distant each from other 100 degrees in longitude) shalbe the space wherein the Magneticall needle declineth from the North towards the West: and in the middle of both in the Meridian semicircle 50 degrees distant from the second, and as much from the third, (or otherwise 110 degrees remooued from the first Meridian drawen by Coruo) shall be the greatest variation of the Magneticall needle, as it appeareth out of the Table of variations in two places, whereof one is in Williams Iland at Noua Zembla, where the greatest Northwesting is found to be 33 degrees. The [Page 14] other is distant 34 dutch miles to the Southeast from Brandaon, where the greatest variation is found to be 22 degrees, and the longitude of each of those places is 110 degrees. So as in the halfe of the second space (which portion of the earth is conteyned betweene the Meridian semicircles of 60 degrees longitude, and of 110 degr.) the Northwesting is euery where increasing; in the other halfe decreasing.
Of these 160 degrees of Longitude (which arch wanteth but 20 degrees of halfe the compasse of the earth) Plancius hath attained to the knowledge of the variation, in such sort as now we haue shewed. As concerning the other parts of the world, distant either towards the West from Coruo, or towards the East from Cantan, the experiments which hitherto hee hath gotten from the Spaniards, the Englishmen, & our countriemen (the Netherlanders) doe not well agree. Neither is it any maruell, seeing they had neither perfect knowledge, nor needfull instruments for that purpose: yet he expecteth other experiments from the ships which haue now beene abroad 14 moneths and more. In the meane time we will bring forth that to publique view, which a man may without absurditie imagine.
If so be that the propertie of pointing due North, take place not onely in the three foresaid Semicircles (which we cōiecture to be Meridian semicircles drawn from the one pole to the other) but in the whole circles also; there should then be six such semicircles vpon the earth, conteyning also betweene them six partes or spaces of the vpper face of the earth.
- The first with the Northeasting 60 degrees long.
- The second with the Northwesting 100 degr. long.
- [Page 15] The third with the Northeasting 20 degr. long.
- The fourth with the Northwesting 60 degr. long.
- The fifth with the Northeasting 100 degr. long.
- The sixth with the Northwesting 20 degr. long.
That those things which haue beene spoken may by certaine geometricall figures be more clearely conceiued, let A B C D E F G H I K L M, be the aequinoctiall of the earth: let N be the pole: then let N A bee the halfe of the first Meridian semicircle drawen by Coruo: N C, halfe of the second semicircle: N E, of the third: N G, of the fourth: N I, of the fifth: N L, of the sixth. So as the arch A C, may make 60 degrees: C E, 100 degr. and so A E, 160 degr. E G, 20 degr. and so A G, 180 degr. G I, 60 degr. and so A I, 240. I L, 100 degrees, and so A L, 340 degr. L A, 20 degr. and so the whole circle 360 degrees. Then let the sixe pointes B D F H K M be the middles between A C, C E, E G, G I, I L, L A. Which being supposed,
Note. Though a man may not without cause stand in doubt that the three last semicircles shall not bee found in the same sort, which the former coniecture hath imagined, but peraduenture in a quantitie eyther greater or lesser, and in another forme: neuerthelesse, here the maner is rudely shewed how the whole world
[Page 17] may be deuided into certaine portions by such semicircles as shall hereafter bee found by obseruation. Moreouer, by that which hath beene spoken, it may easily be vnderstood what be the Northeastings or northwestings increasing or decreasing, what is the first and second Meridian semicircle, together with the parts or spaces. Which, that we may comprehend in forme of definitions, I thought good in few words thus to pronounce.
The second definition.
The Northeasting or Northwesting increasing is that whereby the variation increaseth, the Magneticall needle being caried from the West Eastwards: and the Northeasting or the Northwesting decreasing is that whereby it decreaseth.
The third definition.
The Semicircles of the Meridian, in which the needle pointeth due North, wee call the first and second Meridian Semicircles, and so forwards according to the order of the degrees of longitude, how many soeuer such Semicircles there shalbe, beginning at the Semicircle drawen by Coruo.
The fourth definition.
The portion of the Sphaericall superficies, or round vpperface of the earth conteyned by the first and second Meridian Semicircles, is called the first part or space, and the rest in order, the second, the third, and so foorth vnto the end.
Hauing thus set downe the maner of the variation, it remayneth that we shew by examples (that which before we promised) that although in diuers places hauing the same latitude there be the same variation also, yet neuertheles the master of the ship may know in what part of the world, and in what place he is. Let [Page 18] vs therefore againe suppose that a ship had appointed to goe from Amsterdam to Cape S. Augustine, in Brasile, the latitude whereof in the table of variations is set downe to bee 8 degrees 30 minutes, and the variation northeasting increasing of the first space 3 degr. 10 minutes. The same shippe sayling along by the coast of England, the variation shall be found to northeast or varie towards the East dayly more and more vntill you come to Plimmouth, where it commeth to the greatest, and is 13 deg. 24 min. Therefore the master of the ship shall know assuredly that hitherto hee hath sayled in the Northeasting of the first space decreasing, and that after this he shall haue the northeasting increasing, which when he shall find to be 10 degrees in the latitude of 38 deg. 55 min. then hee may assure himselfe that hee is come to the Rocke neere Lisbone. Going forwards again from thence as it were towards the Southwest, he shal dayly find the latitude to be diminished, and the magneticall needle declining towards the North. Or otherwise if the magneticall needle recline not towards the North, but either stand stil, or els decline more towards the East, then he may assure himselfe that hee is caried Eastwards by some secret current not perceiued: which notwithstanding he may remedy, if he goe so much the more towards the West, vntill the magneticall needle recouer his due variation. But if hee should come to the northeasting of 3 degrees 10 minutes, before he haue his Southerly latitude to be 8 deg. 30 min. he shall then indeuour as much as in him lieth to keepe that variation, and so sayle on towards the South part of the world guiding the ship so much the more towards [Page 19] the West or East as occasion shall require. And although he may deeme otherwise by coniecture, yet he shal not follow that coniecture, for the reasons before shewed: for so comming to the southerly latitude of 8 deg. 30 min. with the northeasting in creasing 3 deg. 10 min. he may assuredly perswade himselfe that he is neere Cape S. Augustine, whereas otherwise trusting to coniectures he may very easily misse an hundreth leagues of the place to which he had appointed to goe, not knowing in the meane time, whether he be to the eastwards, or to the westwards from thence; which experience it selfe hath also taught too much in such nauigations. And therefore the latitude and variation in all places of the earth being obserued, and the knowledge thereof published, there shall be a much more easie way of sayling about the worlde, then euer hath bene heretofore.
Hitherto we haue described the kindes of the variatiō, which are afterwards declared out of those things which were set downe in the table of variations. If the mistris of things (experience) shal hereafter teach that any thing is otherwise, that thing may also out of the same experiēce be otherwise defined, that the masters of ships in their nauigations may follow that only which shall bee best and most profitable.
How the North point, and the variation may be found.
ALthough the finding of the variation, (whereof hitherto often mentiō hath bene made) is known to very many: yet we will in fewe wordes shew this thing to them which as yet peraduenture know not [Page 20] the manner thereof For here is a question or demand how to find the declination of the magnetical needle. First therfore the north point must be sought out, that the pointing of the needle may bee compared therewith. The finding thereof in a moueable ship hath no small affinitie with the finding of the north point or meridian line on land, and may thus be shortly dispatched. In the Instrument which some call the sea-directorie, some the nauticall box, and we for auoyding ambiguity name the sea-compasse, in that instrument I say, the Floure de luce ought to agree with the north point of the needle, or wires lying vnderneath: or (that which is farre more commodious) in stead of the Floure de luce the magneticall needle may be fastened aboue vpon the paper or pastboord, and the limbe or circumference of the pastboord must be deuided into 360 degrees, beginning at the north poynt of the needle as you may see hereafter in the circle A. B. C. D, wherein the magneticall needle is signified by A. C. which is fastned aboue vpon the paper or pasteboord. E is the center. The vse thereof is this. As the master of the shippe in seeking the latitude is wont to tary for the noone-tide, that is to say, vntill the shadow of the perpendicular stile, or of the plumbline agree with the meridian line in his instrument: so all things also do here proceed, but that he beginneth three or foure houres before noone, marking diligently into which degree of the compasse, or into what diuision, the shadow of the perpēdicular stile, or plumbline falleth. Let vs suppose therefore that he find it in the 40 deg. which we haue noted with the letter F. so as G. E. F. may signifie the whole shadow: then hee [Page 21]
shal seeke the height of the sunne, which for examples sake admit hee find to bee 25 degrees: which together with the 40 degrees aboue named, he shal note down for helping his memory: After this he shall attend till [Page 22] the sunne descending after no one come to the same height of 25 degrees, and he shall then also diligently marke what place the shadow of the perpendicular stile poynteth in the paper, which againe let vs take to be 40 deg. to wit, the other way as at the letter H, so as nowe I E H may represent the whole shadowe. Which being done, the midst of the arch F H (that is A) is the north point: and because the magneticall needle directly pointeth the same, it hath no variation in that place, because it sheweth due north. But if in the same experiment after no one the shadow had not shewed the 40 degr. on the other side beyond A, but (for examples sake) the 20 degr. onely vnto K, in that case the arke F K making 60 degr. ought by imagination to be deuided into two parts at L, so as L F and L K may make either of them 30 degrees and the variation sought for may be from L to A eastwardes 10 degrees.
But if in the same after no one experiment, the shadow of the perpendicular stile L had shewed 30 degr. from F, the arke F L (conteining 30 deg.) must by imagination be deuided at M, so as M F, M L may either of them conteine 15 degrees; which being thus performed, M shalbe the North point and A the point of variation sought for, northeasting from M to A 25 degr. and so in the rest.
But if the needle onely were turned about and not fastned to the paper or pastborde (as before) and the degrees were marked in the margine or limbe of the box, or case of the instrument as is sometimes vsed, there is the same manner of vsing it, that was before rehearsed: sauing that in the beginning of the obseruation, [Page 23] the box must bee turned about so farre till the Magneticall needle shewe the beginning of the degrees.
Others take an Azimuthal or verticall quadrant, whose Horizontall plaine (whereupon it standeth vpright) without any impediment receiued from the motion of the ship alwayes remayneth parallell to the Horizon in such manner as we shall shew. Thus the heigth of the sunne is found, togither with the azimuth.
The fashion of this instrument may be described after this manner, A B C signifieth a quadrant of a circle standing at right angles. Vpon the circle B D C E deuided into 360 degrees, whereby the plaine of the Horizon is signified. The center thereof is F vpon which the quadrant may be turned about: and that it may alwayes remaine at right angles vpon the circle B D C E it is vnder-propped on both sides from G to D and E, and those props are fastned to the same quadrant, that they may be turned about togither with it. Moreouer in the circle B D C E there is a glasse, and vnder the glasse a magneticall needle, which must be so long as the box may suffer it. And the box or case hath within it 360. degrees, which the magneticall needle may precisely poynt vnto, which likewise doe agree with as many other degrees inscribed into the horizontall plaine.
This instrument was made according to the inuention of Reginaldus Petraeus, hanging vpon two axtrees like the sea-compasse that so the circle B D C E notwithstanding the motion of the ship may alwayes bee equally distant from the Horizon. And that this may [Page 24]
[Page 25] be done with the greater securitie, the weight marked with the letter H is adioyned vnderneath, conteyning 25. or 30. pounds, or so many as the greatnesse of the instrument shall require. But this also is worthy to be noted, to wit, that the quadrant perpendicularly erect in his place is of the same weight on both sides of the center: that is to say, the side from F to C counterpoyseth the side from F to B which may be knowen if a man taking vp the quadrant, hang it with G downewards, the threed being fastned in the middest of B C at F and then cut off so much of the heauier part, as may suffice, that the line B C may hang leuell. But because some man may obiect that the ruler or index which the Barbarians call the Alhidada, may bring a great varietie in the weight as it shall be turned higher or lower: wee must know that any such thing need not to bee greatly feared, because of the great weight H and the lightnesse of the ruler.
The vse of this instrument in finding the North point and variation is this: you must begin to obserue (as in the former kind) certaine houres before noone, and the instrument must be turned vntill the magneticall needle point to the beginning of the circle: then the quadrant must be turned this way or that way, and the sight-ruler of the quadrant must be lifted vp, or put downe till the sunne shine through the sight. All which being done, suppose it bee found (for examples sake) that the vtmost margine or index of the quadrant shew in the Horizontal plaine 40. degr. and admit the heigth of the sunne be also found to be 25. degrees, which togither with the 40. degrees he shall for memorie sake haue need to note. And when he hath expected after [Page 26] no one till the sunne descending by the same instrument be found placed in the same 25. degr. of altitude, then the box it selfe must againe be turned this way or that way, vntill (the sunne againe shining through the sights) the magneticall needle doe point to the beginning of the circle. Which things being thus dispatched, the middle point of the arch in the horizontall plaine betweene the first and second experiment is the North point, and how much the needle declineth from that point, so much is the variation sought for, as before wee haue shewed in the first example more at large.
Whatsoeuer we haue affirmed to be auaileable in the day time, in these experiments of the sunne, the same may bee vnderstood and done in like manner in the night, by any of the fixed starres, whereof there is the same vse in this matter that there is of the sunne. But there is not the same reason of the moone, aswell because of the swiftnesse of her proper motion; as also because of the greatnesse of her parallax (as they call it) which the ouermuch neerenesse of the moone to the globe of the earth bringeth forth. But this also is to be noted that two, three, or foure, yea and more obseruations may be made in the fore-noone. As for example let the first bee when the sunne is 10. degrees aboue the horizon, the second when it is 15. degr. the third when it is 20. degr. and if any man will make triall as often after noone, hee shall see how euery experiment agreeth with other: and when at euery moment the same North point is found, that thing shall giue the master of the ship no small courage, and more certaine confidence of his worke.
[Page 27] But notwithstanding, when the mariner sayleth from the East Westwards, or contrariwise from the West Eastwards, it may be that in the space of 10 or 12 houres between the first and second experiment, there may be difference of one degree or more in the variation, whereof may follow that the North poynt found by the first forenoone obseruation, and the last in the afternoone, shall not agree with that which was found by the first in the afternoone and the last in the forenoone: when notwithstanding the mariner hath not erred in obseruing.
Which if it shall happen often, the skilfull mariner may iudge thereby what difference of variation is answerable to any determinate time of sayling, and so finde a way whereby the North poynt may bee found with more certaintie and securitie: which thing may thus also be done, if a man diligently compare the variation found in the former dayes with the variation which he presently seeth.