A TABLE OF VARIATIONS.

_Names of | _Longitude |_Latitude._| _Anno | _Variation

Places._ | from_ Lon.| | Dom._| Observ'd._

| | | |

| _d_ _m_ | _d_ _m_ | | _d_ _m_

_London_ | 0 0 | 51 32 N | 1580 | 11 15 E

| | | 1622 | 6 0 E

| | | 1634 | 4 5 E

| | | 1672 | 2 30 W

_Paris_ | 2 25 E | 48 51 N | 1683 | 4 30 W

| | | 1640 | 3 00 E

| | | 1666 | 0 0

| | | 1681 | 2 30 W

_Uraniburg_ | 13 0 E | 55 54 N | 1672 | 2 35 W

----------------------------+------------+-----------+-------+------------

_Copenhagen_ | 12 53 E | 55 41 N | 1649 | 1 30 E

| | | 1672 | 3 35 W

_Dantzick_ | 19 0 E | 54 23 N | 1679 | 7 00 W

_Mompelier_ | 4 0 E | 43 37 N | 1674 | 1 10 W

_Brest_ | 4 25 W | 48 23 N | 1680 | 1 45 W

----------------------------+------------+-----------+-------+------------

_Rome_ | 13 0 E | 41 50 N | 1681 | 5 0 W

_Bayonne_ | 1 20 W | 43 30 N | 1680 | 1 20 W

_Hudson's_ Bay | 79 40 W | 51 00 N | 1668 | 19 15 W

In _Hud._ Straights | 57 00 W | 61 00 N | 1668 | 29 30 W

In _Baffin's_ Bay at } | | | |

Sir _Thomas Smith's_} | 80 00 W | 78 00 N | 1616 | 57 00 W

Sound } | | | |

----------------------------+------------+-----------+-------+-----------

At Sea | 50 0 W | 38 40 N | 1682 | 7 30 W

At Sea | 31 30 W | 43 50 N | 1682 | 5 30 W

At Sea | 42 0 W | 21 0 N | 1678 | 0 40 E

Cape St. _Aug._ of _Brazile_| 35 30 W | 8 0 S | 1670 | 5 30 E

Cape _Frio_ | 41 10 W | 22 40 S | 1670 | 12 10 E

----------------------------+------------+-----------+-------+------------

At Sea off of the Mou. } | | | |

of the River _Plate_ } | 53 00 W | 39 30 S | 1670 | 20 33 E

At the East Entrance } | | | |

of _Magellan_ Straits } | 68 00 W | 52 30 S | 1670 | 17 00 E

At the W. Entrance of } | | | |

the _Magellan_ Straits } | 75 00 W | 53 00 S | 1670 | 14 10 E

_Baldivia_ | 73 00 W | 40 00 S | 1670 | 8 10 E

----------------------------+------------+-----------+-------+------------

At Cape d'_Agulbas_ | 16 30 E | 34 50 S | 1622 | 2 00 W

| | | 1675 | 8 00 W

At Sea | 1 0 E | 34 30 S | 1675 | 0 00

At Sea | 20 0 W | 34 0 S | 1675 | 10 30 E

At Sea | 32 0 W | 24 0 S | 1675 | 10 30 E

----------------------------+------------+-----------+-------+------------

At St. _Helena_ | 6 30 W | 16 00 S | 1677 | 0 40 E

At _Ascension_ | 14 30 W | 7 50 S | 1678 | 1 00 E

At _Johanna_ | 44 00 E | 12 15 S | 1675 | 19 30 W

At _Monbasa_ | 40 00 E | 4 00 S | 1675 | 16 00 W

At _Zocatra_ | 56 00 E | 12 30 N | 1674 | 17 00 W

----------------------------+------------+-----------+-------+------------

At _Aden_, at the Mo. } | | | |

of the _Red Sea_ } | 47 30 E | 13 00 N | 1674 | 15 00 W

At _Diego Roiz_ | 61 0 E | 20 0 S | 1676 | 20 30 W

At Sea | 64 30 E | 0 0 | 1676 | 15 30 W

At Sea | 55 0 E | 27 0 S | 1676 | 24 00 W

----------------------------+------------+-----------+-------+------------

At _Bombay_ | 72 30 E | 19 0 N | 1676 | 12 00 W

At Cape _Comorin_ | 76 00 E | 8 15 N | 1680 | 8 48 W

At _Ballafore_ | 87 00 E | 21 30 N | 1680 | 8 20 W

At Fort St. _George_ | 80 00 E | 13 15 N | 1680 | 8 10 W

At the W. Point of _Java_ | 104 00 E | 6 40 S | 1676 | 3 10 W

----------------------------+------------+-----------+-------+------------

At Sea | 58 00 E | 39 0 S | 1677 | 27 30 W

At the Isle of St. _Paul_ | 72 0 E | 38 0 S | 1677 | 23 30 W

At _Van Dimen's_ Land | 142 0 E | 42 25 S | 1642 | 0 0

At _New Zealand_ | 170 0 E | 40 50 S | 1642 | 9 0 E

At _Three Kings Isle_ in } | | | |

_New Zealand_. } | 169 30 E | 34 35 S | 1642 | 8 40 E

----------------------------+------------+-----------+-------+------------

At the Isle _Rotterdam_ } | | | |

in the South Sea } | 184 00 E | 20 15 S | 1642 | 6 20 E

On the Coast of _N. Guin._ | 149 00 E | 4 30 S | 1643 | 8 45 E

At the W. P. of _N. Guin._ | 126 00 E | 0 26 S | 1643 | 5 30 E

Tho' I could wish we could obtain from the _Spaniards_ what Variations

they find in their Voyages from the _Manilhas_ towards _Acapulco_,

through the North part of the South Sea; as likewise what it is at

_Japan_ from the _Dutch_: Yet (considering the number of these

Observations I have collected, and that they are made in parts of the

World so remote from _Europe_, and from one another) I suppose that the

Theory that answers these will scarce fail in those Regions from whence

we have as yet no account. But first we must make some Remarks upon the

foregoing Table: And, First,

That in all _Europe_ the Variation at this time is West, and more in the

Eastern Parts thereof than the Western: As likewise, that it seems

throughout to be upon the increase that way.

Secondly, That on the Coast of _America_, about _Virginia_,

_New-England_ and _New-Foundland_, the Variation is likewise Westerly;

and that it increases all the way as you go Northerly along the Coast,

so as to be above 20 Degrees at _New-Found-Land_, nearly 30 gr. in

_Hudson's Straights_, and not less than 57 Degrees in _Baffin's Bay_;

also, that as you Sail Eastward from this Coast, the Variation

diminishes. From these two it is a Legitimate Corollary: That _Somewhere

between_ Europe, _and the North part of_ America, _there ought to be an

Easterly Variation, or at least no Westerly_. And so I conjecture it is

about the Eastermost of the _Tercera Islands_.

Thirdly, That on the Coast of _Brasile_ there is East Variation, which

increases very notably as you go to the Southward, so as to be 12

Degrees at _Cape Frio_, and over against the River of _Plate_ 20½

Degrees: And from thence Sailing South-Westerly to the Straits of

_Magellan_ it decreases 17 Degrees, and at the West Entrance but 14

Degrees.

Fourthly, That at the Eastward of _Brasile_, properly so call'd, this

Easterly Variation decreases, so as to be very little at St. _Helena_

and _Ascension_, and to be quite gone, and the Compass Point true about

18 Degrees of Longitude West from the Cape of _Good-hope_.

Fifthly, That to the Eastward of the aforesaid Places a Westward

Variation begins, which Reigns in the whole _Indian_ Sea, and arises to

no less than Eighteen Degrees under the Equator it self, about the

Meridian of the Northern part of _Madagascar_; and near the same

Meridian, but in 39 Degrees South Latitude it is found full 27½

Degrees: From thence Easterly the West Variation decreases, so as to be

little more than eight Degrees at _Cape Comorin_, and than three Degrees

upon the Coast of _Java_; and to be quite extinct about the _Molucca

Islands_, as also a little to the Westwards of _Van Diemens_ Land found

out by the _Dutch_ in 1642.

Sixthly, That to the Eastward of the _Molucca's_ and _Van Diemens_ Land

in South Latitude there arises another Easterly Variation, which seems

not so great as the former, nor of so large Extent; for that at the

Island _Rotterdam_ it is sensibly less than upon the East Coast of _New

Guinea_; and, at the rate it decreases, it may well be suppos'd, that

about 20 Degrees farther East, or 225 Degrees East Longitude from

_London_, in the Latitude of 20 Degrees South, a Westerly Variation

begins.

Seventhly, That the Variations observ'd by the Honourable Sir _John

Norborough_ at _Baldivia_, and at the West Entrance of the _Straights_

of _Magellan_ do plainly shew, that That East Variation, noted in our

third Remark, is decreasing apace; and that it cannot reasonably extend

many Degrees into the South Sea from the Coast of _Peru_ and _Chili_,

leaving room for a small Westerly Variation, in that Tract of the

unknown World that lies in the mid-way between _Chili_ and

_New-Zealand_, and between _Hounds-Island_ and _Peru_.

Eighthly, That in Sailing North-West from St. _Helena_ by _Ascension_,

as far as the Equator, the Variation continues very small East, and as

it were constantly the same: So that in this part of the World the

Course, wherein there is no Variation, is evidently no Meridian, but

rather North-West.

Ninthly, That the Entrance of _Hudson's Straights_, and the Mouth of the

River of _Plate_, being nearly under the same Meridian, at the one place

the Needle varies 29½ Degrees to the _West_; at the other 20½

Degrees to the _East_. This plainly demonstrates the impossibility of

reconciling these Variations by the Theory of _Bond_; _which is by two

Magnetical Poles and an Axis, inclin'd to the Axis of the Earth_; from

whence it would follow, That _under the same Meridian the Variation

should be in all places the same way_.

These things being premised may serve as a sure Foundation to raise the

Superstructure of a Theory upon. But first it would not be amiss to shew

hereby the mistake of _Gilbert_ and _Des Cartes_: The first whereof

supposes, that _the Earth it self being in all its parts Magnetical, and

the Water not; wheresoever the Land is, thither also should the Needle

turn, as to the greater quantity of Magnetical Matter_. But this in many

Instances is not true; but most remarkably upon the Coast of _Brazile_,

where the Needle is so far from being attracted by the Land, that it

turns the quite contrary way, leaving the Meridian to lye N b E, which

is just along the Coast. As to the Position of _Des Cartes_, _that the

Iron and Loadstones hid in the Bowels of the Earth and the Bottom of the

Sea, may be the Causes that the Needle varies_; if we consider for how

great a part of the Earths Surface, _ex. gr._ in the whole _Indian_ Sea,

the Needle declines the same way, and that regularly, 'twill follow that

the attracting Substance that occasions it, must be very far distant.

Now by Experience we find the little force that Iron Guns have upon the

Compass in Ships (their Vertue, though they be Demiculverin, or greater

Cannon, being not perceptible at four or five Yards distance) and the

Experiments now before the _Royal Society_ do plainly shew, how little a

Magnetism there is in most crude Iron Oars: What quantity thereof must

be then suppos'd to make so powerful a Diversion at two or three

Thousand Miles distance? Yet I cannot deny that in some places near the

Shoar, or in Shoal-Water, the Needle may be irregularly directed from

the aforesaid Causes, and that not a little, as _Gassendus_ gives a

notable instance of the Island _Elba_ in the Mediterranean Sea: But

these differences from the general Direction are always signs of the

nearness of those Magnetical Substances, for the Production whereof that

Island _Elba_ has been famous from all Antiquity. Besides, against both

_Des Cartes_ and _Gilbert_, the change of the Variation, which has been

within these Hundred Years last past more than 15 gr. at _London_, is an

entire Demonstration; tho' _Des Cartes_ does not stick to say, that the

transportation of Iron from place to place, and the growth of new Iron

within the Earth, where there was none before, may be the cause thereof.

The same holds likewise against the _Hypothesis_ of _Magnetical Fibres_,

which _Kircher_ maintains.

Now to propose something that may answer the several appearances, and

introduce nothing strange in Philosophy, after a great many close

Thoughts, I can come to no other Conclusion than that, _The whole Globe

of the Earth is one great Magnet, having four Magnetical Poles, or

Points of Attraction, near each Pole of the Equator. Two; and that, in

those parts of the World which lie near adjacent to any one of those

Magnetical Poles, the Needle is govern'd thereby, the nearest Pole being

always predominant over the more remote_. The parts of the Earth wherein

these Magnetical _Poles_ lie, cannot as yet be exactly determin'd for

want of sufficient _Data_ to proceed Geometrically; but, as near as

Conjecture can reach, I reckon that the _Pole_, which is at present

nearest to us, lies in or near the Meridian of the Lands-end of

_England_, and not above seven Degrees from the Pole Arctick; by this

_Pole_ the Variations in all _Europe_ and _Tartary_, and the _North Sea_

are principally govern'd, though with regard to the other Northern Pole,

whose situation is in a _Meridian_ passing about the middle of

_California_, and about 15 gr. from the North Pole of the World; to this

the Needle has chiefly respect in all the North _America_, and in the

two Oceans on either side thereof, from the _Azores_ Westward to

_Japan_, and farther. The two Southern Poles are rather farther distant

from the South Pole of the World: The one about sixteen Degrees

therefrom, is in a Meridian, some twenty Degrees to the Westward of

_Magellan Straights_, or ninety five Degrees West from _London_: This

commands the Needle in all the _South-America_, in the _Pacifick Sea_,

and the greatest part of the _Ethiopick_ Ocean. The Fourth and last

_Pole_ seems to have the greatest Power, and largest Dominions of all,

as it is the most remote from the _Pole_ of the World, being little less

than 20 Degrees distant therefrom in the Meridian, which passes through

_Hollandia Nova_, and the Island _Celebes_ about one hundred and twenty

Degrees East from _London_; this Pole is predominant in the South part

of _Africa_, in _Arabia_ and the _Red Sea_, in _Persia_, _India_, and

its Islands, and all over the _Indian Sea_, from the Cape of _Good-Hope_

Eastwards to the middle of the great South Sea, that divides _Asia_ from

_America_. This seems to be the present Disposition of the Magnetical

Vertue throughout the whole Globe of the Earth; it remains to shew how

this Hypothesis makes out all the Variations that have been observ'd of

late; and how it answers to our several Remarks drawn from the Table.

And first it is plain, that (our _European_ North _Pole_ being in the

Meridian of the Lands-end of _England_) all places more Easterly than

that will have it on the West side of their Meridian, and consequently

the Needle, respecting it with its Northern Point, will have a Westerly

Variation, which will still be greater as you go to the Eastwards, till

you come to some Meridian of _Russia_, where 'twill be greatest, and

from thence decrease again. Thus at _Brest_ the Variation is but 1¾

Degrees, at _London_ 4½ Degrees; but at _Dantzick_ seven Degrees

West. To the Westward of the Meridian of the Lands-end, the Needle ought

to have an Easterly Variation; were it not that (by approaching the

_American_ Northern _Pole_, which lies on the West side of the Meridian,

and seems to be of greater force than this other) the Needle is drawn

thereby Westwards, so as to counterballance the Direction given by the

_European Pole_, and to make a small West Variation in the Meridian of

the Lands-end it self. Yet I suppose that about the Meridian of the Isle

_Tercera_, our nearest _Pole_ may so far prevail as to give the Needle a

little turn to the East, though but for a very small space: The

Counterballance of those two _Poles_ permitting no considerable

Variation in all the Eastern Parts of the _Atlantick_ Ocean; nor upon

the West Coasts of _England_ and _Ireland_, _France_, _Spain_ and

_Barbary_. But to the Westwards of the _Azores_ the Power of the

_American_ Pole overcoming that of the _European_, the Needle has

chiefly respect thereto, and turns still more and more towards it as you

approach it. Whence it comes to pass, that on the Coast of _Virginia_,

_New-England_, _New-found-Land_, and in _Hudson's-Straights_ the

Variation is Westward; that it decreases as you go from thence towards

_Europe_, and that it is less in _Virginia_ and _New-England_, than in

_New-found-Land_, and _Hudson's-Straights_. This Westerly Variation

again decreases, as you pass over the _North America_; and about the

Meridian of the middle of _California_ the Needle again points due

North; and from thence Westward to _Yedzo_ and _Japan_, I make no doubt

but the Variation is Easterly, and half the Sea over no less than

fifteen Degrees, if there be any truth in this Hypothesis of mine.

Therefore I propose this as a Trial, that the whole may be scann'd

thereby; and I conceive it will not be hard to know of the _Spaniards_

how it is, who so frequently sail through that Ocean, in their return

from the _Manilha_ Isles. This East Variation extends over _Japan_,

_Yedzo_, _East-Tartary_, and part of _China_, till it meet with the

Westerly, which is govern'd by the _European_ North Pole, and which I

said was greatest some where in _Russia_.

Towards the Southern Pole the effect is much the same, only that here

the South Point of the Needle is attracted. Hence it will follow, that

the Variation on the Coast of _Brazile_, at the River of _Plate_, and so

on to the Straights of _Magellan_, should be Easterly (as in our third

Remark); if we suppose a Magnetical Pole situate about twenty Degrees

more Westerly than the Straights of _Magellan_. And this Easterly

Variation doth extend Eastward over the greatest part of the _Ethiopick_

Sea, till it be counterpoised by the Vertue of the other Southern

_Pole_; as it is about mid-way between the Cape of _Good-Hope_, and the

Isles of _Tristan d' Acuntia_. From thence Eastwards, the _Asian_ South

Pole (as I must take the liberty to call it) becoming prevalent, and the

South point of the Needle being attracted thereby, there arises a West

Variation, very great in quantity and extent, because of the great

distance of this Magnetical Pole of the World. Hence it is, that in all

the _Indian_ Sea as far as _Hollandia Nova_, and farther, there is

constantly West Variation; at that under the Equator it self it arises

to no less than eighteen Degrees, where 'tis most. About the Meridian of

the Island _Celebes_, being likewise that of this Pole, this Westerly

Variation ceases, and an Easterly begins; which reaches, according to my

Hypothesis, to the middle of the _South-Sea_, between _Zelandia Nova_,

and _Chili_, leaving room for a small _West Variation_ govern'd by the

_American_ South Pole, which I shew'd to be in the _Pacifick Sea_, in

the sixth and seventh Remark.

What I have now said, does plainly shew the sufficiency of this

Hypothesis for solving the Variations that are at this time observ'd in

the temperate and frigid _Zones_, where the Direction of the Needle

chiefly depends upon the Counterpoise of the forces of two Magnetical

Poles of the same Nature; and I suppose I have shewn how it comes to

pass, that under the same Meridian the Variation should be in one place

29½ West, and another 20½ East; as I have noted in my ninth Remark.

In the _Torrid Zone_, and particularly under the Equinoctial, respect

must be had to all four Poles, and their Positions well consider'd,

otherwise it will not be easie to determine what the Variations shall

be; the nearest _Pole_ being always the strongest; yet not so, as not to

be counterballanc'd sometimes by the united forces of two more remote; a

notable Instance whereof is in our eighth Remark, where I took notice,

that in sailing from St. _Helena_ by the Isle of _Ascension_, to the

Equator, on a N. W. Course, the Variation is very little Easterly, and

in that whole Tract unalterable; for which I give this Reason, That the

South _American_ Pole (which is considerably the nearest in the

aforesaid Places) requiring a great Easterly Variation, is counterpoised

by the contrary Attraction of the _North-American_ and the

_Asian-South-Pole_; each whereof singly are in these Parts, weaker than

the _American-South-Pole_; and upon the North West Course, the Distance

from this latter is very little varied; and as you recede from the

_Asian-South-Pole_, the Ballance is still preserv'd by the access

towards the _North-American-Pole_. I mention not in this Case the

_European-North-Pole_, its Meridian being little remov'd from those of

these places; and of it self requiring the same Variations we here find.

After the same manner we might proceed to conclude the Variations in

other places under and near the Equator; but I purposely leave it for an

Exercise to the Thoughts of the serious Reader, who is desir'd to help

his Imagination, by having before him a Map or Globe of the Earth: And

to mark thereon the Magnetical _Poles_ in the _Longitudes_ and

_Latitudes_ I assign them. (_Vide Plate 2._)

Thus, I hope, I have not lost my Pains and Study in this difficult

Subject; believing that I have put it past doubt, _That there are in the

Earth four such Magnetical Points or Poles, which occasion the great

variety and seeming irregularity which is observed in the Variations of

the Compass_. But to calculate exactly what it is, in any place

assign'd, is what I dare not yet pretend to, though I could wish it were

my happiness to be able to oblige the World with so useful a piece of

Knowledge; there are Difficulties that occur, that render the thing as

yet not feasible; for first there are a great many Observations

requisite, which ought to be made at the same time; not at Sea, but

ashore, with greater Care and Attention than the generality of Sailors

apply. And besides, it remains undetermin'd in what proportion the

attractive Power decreases, as you remove from the _Pole_ of a Magnet,

without which it were a vain attempt to go about to calculate. There is

yet a further Difficulty, which is the Change of the Variation, one of

the Discoveries of this last Century; which shews, that it will require

some hundreds of Years to establish a compleat Doctrine of the

Magnetical System. From the foregoing Table it should seem, that all the

Magnetical _Poles_ had a motion Westward: But if it be so, 'tis evident,

that it is not a Rotation about the Axis of the Earth; for then the

Variations would continue the same, in the same parallel of _Latitude_

(the _Longitude_ only chang'd) as much as is the motion of the

Magnetical _Poles_, but the contrary is found by Experience; for there

is no where in the Latitude of 15½ North between _England_ and

_America_, a Variation of eleven Degrees East at this time; as it was

once here at _London_; it seems therefore, that our _European_ Pole is

grown nearer the Pole _Arctick_ than it was heretofore, or else that it

has lost part of its Vertue. But whether these Magnetical Poles move

altogether with one motion, or with several; whether equally or

unequally; whether Circular or Libratory: If Circular, about what

Center; if Libratory, after what manner; are Secrets as yet utterly

unknown to Mankind, and are reserv'd for the Industry of future Ages.

_An Account of the Cause of the Change of the Variation of the

Magnetical Needle, with an Hypothesis of the Structure of the

Internal Parts of the Earth; as it was proposed to the _Royal

Society_ in one of their late Meetings. By Mr. _Edmund Halley_._

Having in the precedent Discourse delivered a Theory of the Variation of

the Magnetical Compass, wherein I did collect as many Observations as at

that time I could procure, and having carefully compar'd them together,

I came at length to this general conclusion, _That the Globe of the

Earth might be supposed to be one great Magnet, having four Magnetical

Poles or Points of Attraction, near each Pole of the Equator two; and

that in those parts of the World which lie near adjacent to any one of

those Magnetical Poles, the Needle is chiefly govern'd thereby; the

nearest Pole being always predominant ever the more remote_. And I there

have endeavour'd to state and limit the present Position of those Poles

in the Surface of our Globe, which the Reader pleasing to consult, will

save us the pains of repeating. But after all, tho' that Discourse was

favourably receiv'd both at home and abroad, as seeming to render a

tolerable account of the observ'd Variations, yet I found two

Difficulties not easie to surmount; the one was, that no Magnet I had

ever seen or heard of, had more than two opposite _Poles_, whereas the

Earth had visibly four, and perhaps more. And secondly, it was plain

that these _Poles_ were not, at least all of them, fixt in the Earth,

but shifted from place to place, as appear'd by the great Changes in the

Needles Direction within this last Century of Years, not only at

_London_, (where this great Discovery was first made) but almost all

over the Globe of Earth; whereas it is not known or observ'd that the

_Poles_ of a Load-stone ever shifted their place in the Stone, nor

(considering the compact hardness of that Substance) can it easily be

suppos'd; though the Matter of Fact be too notorious and universal, not

to be accounted for.

These Difficulties had wholly made me despond, and I had long since

given over an Inquiry I had so little hopes of, when in accidental

Discourse, and least expecting it, I stumbl'd on the following

Hypothesis; in delivering whereof, if I shall seem to advance any thing

that looks like Extravagant or Romantick, the Reader is desir'd to

suspend his Censure, till he have consider'd the force and number of the

many Arguments which concur to make good so new and so bold a

Supposition.

Though it be sufficiently known and allow'd, that the Needles Variation

changes, it will be necessary however to give a few Instances, whereby

it may appear that this Change is gradual and universal, and the effect

of a great and permanent motion: For which take the following Examples.

At _London_, in the Year 1580, the Variation was observ'd by Mr.

_Burrows_ to be 11° 15' East. In _Anno_ 1622, the same was found by Mr.

_Gunter_ to be but 6° 0' East. In the Year 1634, Mr. _Gellibrand_ found

it 4° 5' East. In 1657, Mr. _Bond_ observ'd that there was no Variation

at _London_. _Anno_ 1672, my self observ'd it 2° 30' to the West; and in

the Year 1692, I again found it 6° 00' West. So that in 112 Years the

Direction of the Needle has chang'd no less than seventeen Degrees.

At _Paris_, _Orontius Finæus_ about the Year 1550, did account it about

eight or nine Degrees East Variation. _Anno_ 1640, it was found three

Degrees East. _Anno_ 1660, there was no Variation there, and _Anno_

1681, I found it to be 2° 30' to the West.

At _Cape d' Agulhas_, the most Southerly Promontary of _Africa_, about

the Year 1600, the Needle pointed due North and South without Variation,

whence the _Portugueze_ gave its name. _Anno_ 1622, there was two

Degrees West Variation. _Anno_ 1675, it was 8° 50' West; and in the Year

1691, it was curiously observ'd not less than eleven Degrees West.

At St. _Helena_, about the Year 1600, the Needle declin'd eight Degrees

to the East. _Anno_ 1623, it was but 6° 0' East. _Anno_ 1677, when I was

there, I observ'd it accurately on Shoar to be 0° 40' East; and in 1692

it was found about 1° to the Westward of the North.

At _Cape Comorine_ in _India_, in the Year 1620, there was 14° 20' West

Variation. In the Year 1680, there was 8° 48', but now lately in the

Year 1688, it was no more than 7° 30', so that here the Needle has

return'd to the East about seven Degrees in seventy Years.

In all the other Examples the Needle has gradually mov'd towards the

West, and the places are too far asunder to be influenc'd by the removal

of any Magnetical Matter, which may by accident be transplac'd within

the Bowels, or on the Surface of the Earth. If more Examples are

desir'd, the Reader may be furnished with them in the _Portugueze

Routier_ of _Aleixo de Motta_ (written about the Year 1600) and in the

Voyage of _Beaulieu_, both publish'd in Mr. _Thevenot_'s first

Collection of curious Voyages, Printed at _Paris_, _Anno_ 1663; which he

is to compare with the Journals of our late _East India_ Voyagers, and I

am assur'd, that it will be thereby evident, that the Direction of the

Needle is in no place fix'd and constant, tho' in some it change faster

than in others: And where for a long time it has continu'd as it were

unalter'd, it is there to be understood, that the Needle has its

greatest Deflection, and is become Stationary in order to return, like

the Sun, in the Tropick. This, at present, is in the _Indian Sea_, about

the Island _Mauritius_, where is the highest West Variation, and in a

Tract tending from thence into the N. N. W. towards the _Red-Sea_ and

_Egypt_. And in all Places to the Westward of this Tract, all over

_Africa_ and the Seas adjoining, the West Variation will be found to

have encreas'd; and to the Eastwards thereof as in the Example of _Cape

Comorine_, to have decreased, _viz._ all over the _East-Indies_, and the

Islands near it.

After the like manner in that Space of East Variation, which, beginning

near St. _Helena_, is found all over the South _America_, and which at

present is highest about the Mouth of _Rio de la Plata_, it has been

observ'd, that in the Eastern Parts thereof, the Variation of the Needle

gradually decreases; but whether on the contrary it increases in those

places which lie more Westerly than that Tract wherein the highest East

Variation is found; or how it may be in the vast _Pacifick Sea_, we have

not Experience enough to ascertain, only we may by Analogy infer, that

both the East and West Variations therein do gradually increase and

decrease after the same Rule.

These _Phænomena_ being well understood and duly consider'd, do

sufficiently evince, That the whole Magnetical System is by one, or

perhaps more motions translated, whether Eastwards or Westwards, I shall

anon discuss; that this moving thing is very great, as extending its

effects from Pole to Pole, and that the motion thereof is not _per

saltum_, but a gradual and regular motion.

Now considering the Structure of our _Terraqueous_ Globe, it cannot be

well suppos'd that a very great part thereof can move within it, without

notably changing its Center of Gravity and the Equilibre of its Parts,

which would produce very wonderful Effects in changing the Axis of

diurnal Rotation, and occasion strange alteration in the Seas Surface,

by Inundations and Recesses thereof, such as History never yet

mention'd. Besides, the solid parts of the Earth are not to be granted

permeably by any other than fluid Substances, of which we know none that

are any ways Magnetical. So that the only way to render this motion

intelligible and possible, is to suppose it to turn about the Center of

the Globe, having its Center of Gravity fix'd and immoveable in the same

common Center of the Earth: And there is yet requir'd, that this moving

internal Substance be loose and detached from the external Parts of the

Earth whereon we live; for otherwise, were it affix'd thereto, the whole

must necessarily move together.

So then the External Parts of the Globe may well be reckon'd as the

Shell, and the Internal as a _Nucleus_ or inner Globe, included within

ours, with a fluid Medium between, which having the same Common Center

and Axis of diurnal Rotation, may turn about with our Earth each twenty

four Hours; only this outer Sphere having its turbinating motion some

small matter either swifter or slower than the internal Ball: And a very

minute Difference in length of time, by many Repetitions becoming

sensible, the Internal Parts will by degrees recede from the External,

and not keeping pace with one another, will appear gradually to move

either Eastwards or Westwards by the difference of their motions.

Now supposing such an Internal Sphere having such a motion, we shall

solve the two great Difficulties we encounter'd in my former Hypothesis:

For if this exteriour Shell of Earth be a Magnet, having its Poles at a

distance from the Poles of diurnal Rotation; and if the Internal

_Nucleus_ be likewise a Magnet, having its Poles in two other places,

distant also from the Axis; and these latter by a gradual and slow

motion change their place in respect of the External; we may then give a

reasonable account of the four Magnetical Poles I presume to have

demonstrated before; as likewise of the Changes of the Needles

Variations, which till now hath been unattempted.

The Period of this Motion being wonderful great, and there being hardly

an hundred Years since these Variations have been duly observ'd, it will

be very hard to bring this Hypothesis to a Calculus, especially since,

though the Variations do increase and decrease regularly in the same

place, yet in differing places, at no great distance, there are found

such casual Changes thereof as can no ways be accounted for by a regular

Hypothesis; as depending upon the unequal and irregular distribution of

the Magnetical Matter within the Substance of the External Shell or Coat

of the Earth, which deflect the Needle from the Position it would

acquire from the effect of the general Magnetism of the whole. Of this

the Variations at _London_ and _Paris_ give a notable Instance, for the

Needle has been constantly about 1°½ more Easterly at _Paris_ than at

_London_; though it be certain that according to the general effect, the

Difference ought to be the contrary way: Notwithstanding which, the

Variations in both places do change alike.

Hence, and from some other of like Nature, I conclude, That the two

Poles of the External Globe are fixt in the Earth, and that if the

Needle were wholly govern'd by them, the Variations thereof would be

always the same, with some little Irregularities upon the account I but

just now mention'd: But the Internal Sphere having such a gradual

translation of its Poles, does influence the Needle, and direct it

variously, according to the result of the attractive or directive Power

of each Pole; and consequently there must be a Period of the Revolution

of this Internal Ball, after which the Variations will return again as

before. But if it shall in future Ages be observ'd otherwise, we must

then conclude that there are more of these Internal Spheres, and more

Magnetical Poles than Four, which at present we have not a sufficient

number of Observations to determine, and particularly in that vast _Mar

del Zur_, which occupies so great a part of the whole Surface of the

Earth.

If then two of the Poles be fixt and two moveable, it remains to

ascertain which they are that keep their place; and though I could wish

we had the Experience of another Century of Years to found our

Conclusions upon, yet I think we may safely determine, That our

_European North Pole_ (which in the precedent Discourse I suppos'd near

the Meridian of the Lands-end of _England_, and about seven Degrees

therefrom) is that That is moveable of the two Northern Poles, and that

That has chiefly influenc'd the Variations in these parts of the World:

For in _Hudson_'s Bay, which is under the Direction of the _American_

Pole, the Change is not observ'd to be near so fast as in these parts of

_Europe_, though that Pole be much farther remov'd from the Axis.

As to the South Poles, I take the _Asian_ Pole, which I place about the

Meridian of the Island _Celebes_ to be the fixt, and consequently the

_American_ Pole to move; from the like Observation of the slow Decrease

of the Variation on the Coast of _Java_, and near the Meridian of the

_Asian_ Pole; though I must confess to have no account of the effects of

the other beyond _Magellan_'s Streights.

If this be allow'd me, 'tis plain that the fixt Poles are the Poles of

this External Shell or Cortex of the _Earth_, and the other two the

Poles of a Magnetical _Nucleus_ included and moveable within the other.

It likewise follows, that this Motion is Westwards, and by consequence

that the aforesaid _Nucleus_ has not precisely attained the same degree

of Velocity with the exteriour Parts in their diurnal Revolution; but so

very nearly equals it, that in 365 Revolves the difference is scarce

sensible. This I conceive to arise from the Impulse whereby this diurnal

Motion was imprest on the Earth, being given to the External Parts, and

from thence in time communicated to the Internal; but not so as

perfectly to equal the Velocity of the first Motion impress'd on, and

still conserv'd by the superficial Parts of the Globe.

As to the quantity of this Motion it is almost impossible to define it,

both from the Nature of this kind of Observation, which cannot be very

accurately perform'd, as also from the small time these Variations have

been observ'd, and their Change discover'd. It appears by all

Circumstances, that its Period is of many Centuries of Years, and as far

as may be collected from the Change of the Place, where there was no

Variation, by reason of the Equilibre of the two Southern Magnetical

Poles, _viz._ from _Cape d' Agulhas_ to the Meridian of St. _Helena_

(which is about 23 _degr._ in about ninety Years) and of the place where

the Westerly Variation is in its ἀκμὴ or greatest Deflection, being

about half so much, _viz._ from the Isle of _Diego Roiz_ to the South

West Parts of _Madagascar_. We may with some Reason conjecture, that the

_American_ Pole has mov'd Westwards forty six Degrees in that time, and

that the whole Period thereof is perform'd in seven hundred Years, or

thereabouts; so that the nice Determination of this, and of several

other Particulars in the Magnetick System is reserv'd for remote

Posterity; all that we can hope to do, is to leave behind us

Observations that may be confided in, and to propose an Hypothesis which

after Ages may examine, amend or refute. Only here I must take leave to

recommend to all Masters of Ships, and all others, Lovers of Natural

Truths, that they use their utmost Diligence to make, or procure to be

made, Observations of these Variations in all parts of the World, as

well in the North as South Latitude (after the laudable Custom of our

_East India_ Commanders) and that they please to communicate them to the

_Royal Society_, in order to leave as compleat a History as may be to

those that are hereafter to compare all together, and to compleat and

perfect this abstruse Theory.

And by the way it will not be amiss to amend a receiv'd Error in the

Practice of observing the Variation, which is, to take it by the

Amplitude of the Rising and Setting Sun, when his Center appears in the

visible Horizon; whereas he ought to be observ'd when his under Limb is

still above the Horizon about ⅔ of his Diameter, or twenty Minutes,

upon the score of the Refraction, and the height of the Eye of the

Observer above the Surface of the Sea: Or else they are to work the

Amplitudes as they do the Azimuth, reckoning the Suns Distance from the

Zenith 90° 36': This, though it be of little consequence near the

Æquinoctial, will make a great Error in high Latitudes, where the Sun

rises and sets obliquely.

But to return to our Hypothesis, In order to explain the Change of the

Variations, we have adventur'd to make the Earth hollow, and to place

another Globe within it; and I doubt not but this will find Opposers

enough. I know 'twill be Objected, That there is no Instance in Nature

of the like thing; that if there was such a middle Globe it would not

keep its place in the Center, but be apt to deviate therefrom, and might

possibly chock against the Concave Shell, to the ruin, or at least

endammaging thereof; That the Water of the Sea would perpetually leak

through, unless we suppose the Cavity full of Water; That were it

possible, yet it does not appear of what use such an inward Sphere can

be of, being shut up in Eternal Darkness, and therefore unfit for the

Production of Animals or Plants; with many more Objections, according to

the Fate of all such new Propositions.

To these, and all other that I can foresee, I briefly Answer, That the

Ring environing the Globe of _Saturn_ is a notable Instance of this

kind, as having the same common Center, and moving along with the

Planet, without sensibly approaching him on one side more than the

other. And if this Ring were turn'd on one of its Diameters, it would

then describe such a Concave Sphere as I suppose our External one to be.

And since the Ring, in any Position given, would, in the same manner,

keep the Centre of _Saturn_ in its own, it follows, that such a Concave

Sphere may move with another included in it, having the same common

Centre. Nor can it well be suppos'd otherwise, considering the Nature of

Gravity; for should these Globes be adjusted once to the same common

Centre, the Gravity of the parts of the Concave would press equally

towards the Centre of the inner Ball, which equality must necessarily

continue till some External Force disturb it, which is not easie to

imagine in our Case. This perhaps I might more intelligibly express, by

saying that the inner Globe being posited in the Centre of the

Exteriour, must necessarily ascend which way soever it move; that is, it

must overcome the force of Gravity pressing towards the common Centre,

by an impulse it must receive from some outward Agent; but all outward

Efforts being sufficiently fenc'd against by the Shell that surrounds

it, it follows, that this _Nucleus_ being once fixt in the common

Centre, must always there remain.

As to the leaking of the Water through this Shell, when once a passage

shall be found for it to run through, I must confess it is an Objection

seemingly of weight; but when we consider how tightly great Beds of

Chalk or Clay, and much more Stone do hold Water, and even Caves arch'd

with Sand; no Man can doubt but the Wisdom of the Creator has provided

for the Macrocosm by many more ways than I can either imagine or

express, especially since we see the admirable and innumerable

Contrivances wherewith each worthless Individual is furnish'd both to

defend it self, and propagate its Species. What Curiosity in the

Structure, what Accuracy in the Mixture and Composition of the parts,

ought not we to expect in the Fabrick of this Globe, made to be the

lasting Habitation of so many various Species of Animals, in each of

which there want not many Instances that manifest the boundless Power

and Goodness of their Divine Author; and can we then think it a hard

Supposition, that the Internal Parts of this Bubble of Earth should be

replete with such Saline and Vitriolick Particles as may contribute to

Petrefaction, and dispose the transuding Water to shoot and coagulate

into Stone, so as continually to fortifie, and, if need were, to

consolidate any breach or flaw in the Concave Surface of the Shell.

And this perhaps may not without Reason be suppos'd to be the final

Cause of the admixture of the Magnetical Matter in the Mass of the

Terrestrial parts of our Globe, _viz._ To make good and maintain the

Concave Arch of this Shell: For by what the Excellent Mr. _Newton_ has

shewn in his _Principia Philosophiæ_, it will follow, that according to

the general Principle of Gravity, visible throughout the whole Universe,

all those Particles that by length of time, or otherwise, shall moulder

away, or become loose on the Concave Surface of the External Sphere,

would fall in, and with great force descend on the Internal, unless

those Particles were of another sort of Matter capable by their stronger

tendency to each other, to suspend the force of Gravity; but we know no

other Substances capable of supporting each other by their mutual

Attraction but the Magnetical, and these we see miraculously to perform

that Office, even where the Power of Gravity has its full effect, much

more within the Globe where it is weaker. Why then may we not suppose

these said Arches to be lin'd throughout with a Magnetical Matter, or

rather to be one great Concave Magnet, whose two Poles are the Poles we

have before observ'd to be fixt in the Surface of our Globe.

Another Argument, favouring this Hypothesis, is drawn from a Proposition

of the same Mr. _Newton_, where he determines the force wherewith the

_Moon_ moves the _Sea_ in producing the _Tides_: His Words are,

_Densitas Lunæ est ad densitatem Terra ut 680 ad 387 seu 9 ad 5

quamproximé. Est igitur corpus Lunæ densius ac magis terrestre quam

Terra nostra_, p. 466. Now if the Moon be more solid than the Earth, as

9 to 5, why may we not reasonably suppose the Moon, being a small Body,

and a secondary Planet, to be solid Earth, Water, Stone, and this Globe

to consist of the same Materials, only four Ninths thereof to be Cavity,

within and between the Internal Spheres; which I would render not

improbable.

To those that shall enquire of what use these included Globes can be, it

must be allow'd, that they can be of very little service to the

Inhabitants of this outward World, nor can the Sun be serviceable to

them, either with his Light or Heat. But since it is now taken for

granted, that the Earth is one of the Planets, and they all are with

Reason suppos'd Habitable, though we are not able to define by what sort

of Animals; and since we see all the parts of the Creation abound with

Animate Beings, as the Air with Birds and Flies, the Water with the

numerous varieties of Fish, and the very Earth with Reptiles of so many

sorts; all whose ways of Living would be to us incredible did not daily

Experience teach us. Why then should we think it strange that the

prodigious Mass of Matter, whereof this Globe does consist, should be

capable of some other improvement than barely to serve to support its

Surface? Why may not we rather suppose that the exceeding small quantity

of solid Matter, in respect of the fluid Æther, is so dispos'd by the

Almighty Wisdom, as to yield as great a Surface for the use of living

Creatures, as can consist with the conveniency and security of the

whole? We our selves, in Cities where we are pressed for Room, commonly

build many Stories one over the other, and thereby accommodate a much

greater multitude of Inhabitants.

But still it will be said, That without Light there can be no living,

and therefore all this _apparatus_ of our inward Globes must be useless:

To this I Answer, That there are many ways of producing Light which we

are wholly ignorant of; the Medium it self may be always luminous after

the manner of our _Ignes fatui_. The Concave Arches may in several

places shine with such a Substance as invests the Surface of the Sun;

nor can we, without a boldness unbecoming a Philosopher, adventure to

assert the impossibility of peculiar Luminaries below, of which we have

no sort of _Idea_. I am sure the Poets _Virgil_ and _Claudian_ have gone

before me in this Thought, inlightning their _Elysian Fields_ with Sun

and Stars proper to those infernal, or rather internal Regions. _Virg.

Æneid. 6._

_Largior hic compos Æther & lumine vestit

Purpureo; Solemque suum sua Sidera norunt._

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