THE Variation of the Compass (by which I mean the Deflection of the Magnetical Needle from the true Meridian) is of that great Concernment in the Art of Navigation, that the neglect thereof, does little less than render useless one of the noblest Inventions Mankind ever yet attained to. And for this cause all Ships of Consequence (especially those bound beyond the Equator) carry with them Instruments on purpose to observe this Variation: That so the Course steer'd by the Compass, may be reduc'd to the true Course in respect of the Meridian.

Now although the great utility that a perfect Knowledge of the Theory of the Magnetical Direction would afford to Mankind in general, and especially to those concern'd in Sea Affairs, seems as sufficient incitement to all Philosophical and Mathematical Heads, to take under serious Consideration the several Phænomena, and to endeavour to reconcile them by some general Rule: Yet so it is; that almost all the Authors, from whom a Discourse of this kind ought to have been expected, pass by in silence the Difficulties they here Encounter. And those that mention this Variation: By affirming it to proceed from Causes altogether uncertain (as are the casual lying of Iron Mines and Loadstones in the Earth) put a stop to all further Contemplation; and give discouragement to those that would otherwise undertake this Enquiry. 'Tis true, that not long since one Mr. Bond, an old Teacher of Navigation, put forth a small Treatise, wherein he pretends to calculate the Variation: But he limits his Hypothesis to the City of London, affirming himself (as he had a great deal of reason) that the same Calculus is not sufficient for other Places; whereby it appears that this Rule is far short of the so much desir'd general one.

Now although (through want of sufficient Observations, and some other Difficulties, which I shall anon shew) I cannot pretend perfectly to establish the Numbers and Rules of a Calculus, which shall precisely answer to the Variations of all parts of the World: Yet I suppose it will not be unacceptable to the Curious to propose something of a Light into this abstruse Mystery; which, if no other, may have this good Effect, to stir up the Philosophical Genii of the Age to apply themselves more attentively to this useful Speculation. But before I proceed, 'twill be necessary to lay down the Grounds upon which I raise my Conclusions; and at once to give a Synopsis of those Variations, which I have reason to look upon as sure, being mostly the Observations of Persons of good Skill and Integrity.

A
TABLE
OF
VARIATIONS.

Names of
Places.
Longitude
from Lon.
LatitudeAnno
Dom.
Variation
Observ'd.
d  md  md  m
London  0  0  51 32 N158011 15 E
1622 6  0 E
1634 4  5 E
1672 2 30 W
Paris  2 25 E48 51 N1683 4 30 W
1640 3 00 E
1666 0  0 
1681 2 30 W
Uraniburg 13  0 E55 54 N1672 2 35 W
Copenhagen 12 53 E55 41 N1649 1 30 E
1672 3 35 W
Dantzick 19  0 E54 23 N1679 7 00 W
Mompelier  4  0 E43 37 N1674 1 10 W
Brest  4 25 W48 23 N1680 1 45 W
Rome 13  0 E41 50 N1681 5  0 W
Bayonne  1 20 W43 30 N1680 1 20 W
Hudson's Bay 79 40 W51 00 N166819 15 W
In Hud. Straights 57 00 W61 00 N166829 30 W
In Baffin's Bay at Sir
Thomas Smith's Sound
 80 00 W78 00 N161657 00 W
At Sea 50 00 W38 40 N1682 7 30 W
At Sea 31 30 W43 50 N1682 5 30 W
At Sea 42  0 W21  0 N1678 0 40 E
Cape St. Aug. of Brazile 35 30 W 8  0 S1670 5 30 E
Cape Frio 41 10 W22 40 S167012 10 E
At Sea off of the Mou.
of the River Plate
 53 00 W39 30 S167020 33 E
At the East Entrance of
Magellan Straits
 68 00 W52 30 S167017 00 E
At the W. Entrance of the
Magellan Straits
 75 00 W53 00 S167014 10 E
Baldivia 73 00 W40 00 S1670 8 10 E
At Cape d'Agulbas 16 30 E34 50 S1622 2 99 W
1675 8 00 W
At Sea  1  0 E34 30 S1675 0 00
At Sea 20  0 W34  0 S167510 30 E
At Sea 32  0 W24  0 S167510 30 E
At St. Helena  6 30 W16 00 S1677 0 40 E
At Ascension 14 30 W 7 50 S1678 1 00 E
At Johanna 44 00 E12 15 S167519 30 W
At Monbasa 40 00 E 4 00 S167516 00 W
At Zocatra 56 00 E12 30 N167417 00 W
At Aden, at the Mo.
of the Red Sea
 47 30 E13 00 N167415 00 W
At Diego Roiz 61  0 E20  0 S167620 30 W
At Sea 64 30 E 0  0167615 30 W
At Sea 55  0 E27  0 S167624 00 W
At Bombay 72 30 E19  0 N167612 00 W
At Cape Comorin 76 00 E 8 15 N1680 8 48 W
At Ballafore 87 00 E21 30 N1680 8 20 W
At Fort St. George 80 00 E13 15 N1680 8 10 W
At the W. Point of Java104 00 E 6 40 S1676 3 10 W
At Sea 58 00 39  0 S167727 30 W
At the Isle of St. Paul 72  0 E38  0 S167723 30 W
At Van Dimen's Land 142  0 E42 25 S1642 0  0
At New Zealand170  0 E40 50 S1642 9  0 E
At Three Kings Isle in
New Zealand.
169 30 E34 35 S1642 8 40 E
At the Isle Rotterdam
in the South Sea
184 00 E20 15 S1642 6 20 E
On the Coast of N. Guin.149 00 E 4 30 S1643 8 45 E
At the W. P. of N. Guin.126 00 E 0 26 S1643 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.