The longitude not found, or, An answer to a treatise written by Henry Bond, Senior, shewing a way to find the longitude by the magnetical inclinatory needle wherein is proved that the longitude is not, nor cannot be found by the magnetical inclinatory needle / by Peter Blackborrow, Gent.

THE LONGITUDE Not found by the Inclinatory Needle.

In Answer to Mr. Bonds first Question, in finding the Distance between London and Vaygats; and from thence to find the Di∣stance of the Magnetical Pole, from the Pole of the Earth.

LOndon Latitude 51 d. 32 m. North, London Longitude 00 d. 00 m. Vaygats Latitude 70 d. 00 m. North, Longitude 58 d. 00 m. Westwards of the Meridian of London, to find the Distance between London and Vaygats L V, and the Angle P L V, and the Angle P V L. In this Triangle we have P L, the Co-latitude of London 38 d. 28 m. and P V, the Co-latitude of Vaygats 20 d.

00 m. And the Angle L P V 58 d. 00 m. the difference of Longitude by Journal between Vaygats and London; to find L V, the Distance 31 d. 57 m. and the Angle P L V, 33 d. 14 m. and the Angle P V L 94 d. 30 m. And from the Angle L P V, Mr. Bond draws an Arch as P M V, and makes that an Angle of 8 d. 38 m & the An∣gle P, M, V, L, an Angle of 85 d. 52 m. and then Mr. Bond draws another Arch as L M, and makes the Angle P L M, an An∣gle of 11 d. 15 m. and the Angle M L V, an Angle of 21 d. 59 m.

Here place the first Figure.

If Mr. Bond would make it a proporti∣on in his Angle to draw two Arches from the Pole of the Earth, unto the Meridian, and Parallel of Vaygats; as P V, and P M V, then he should have drawn another Arch in∣to the Meridian and Parallel of London; from the Pole of the Earth, besides that of P L.

For as Mr. Bond would separate the Va∣riation of Vaygats 8 d. 38 m. from the An∣gle

[illustration] geometrical diagram

Fig. 1

P V L 94 d. 30 m. and make the An∣gle P M V, 8 d. 38 m. and the Angles P M, V, L 85 d. 52 m. by another Arch from the Pole of the Earth.

So likewise should Mr. Bond have sepa∣rated the Variation of London 11 d. 15 m. by another Arch from the Pole of the Earth into the Meridian, and Parallel of London at L, in regard the matter given requires the same Demonstration.

And whereas Mr. Bond draws two Ar∣ches from the Pole of the Earth, unto the Meridian, and Parallel of Vaygats; it is very improper, for no Arch can be drawn from the Pole of the Earth unto the Meri∣dian, and Parallel of Vaygats; but what was drawn from the Pole, as P V 20 d. 00 m. the Co-latitude of Vaygats, which Arch is the nearest Distance unto the Pole of the Earth.

And for the Arch P M V, it makes a greater Distance than the Co-latitude of Vaygats, by 00 d. 18 m. therefore Mr. Bonds Angle is a false Supposition, for one and the same Meridian and Parallel of the Earth, can have but one Arch or Meridian

from the Pole of the Earth, and that is the nearest Distance.

But Mr. Bonds pretence is to find the Distance of the Magnetical Poles, from the Pole of the Earth; and he saith, in the year 1580, the Variation was 11 d. 15 m. at London, and at Vaygats 8 d. 38. m. and the Co-latitude at London 38 d. 28 m. and the Co-latitude at Vaygats 20 d. 00 m. and the Difference of Longitude 58 d. 00 m. So from hence it may be observed, that the Distance of the Magnetical Pole, from the Pole of the Earth, is found, from the Vari∣ation that was at London, and Vaygats in the year 1580. So that the Magnetick Pole must be as various as the Variation, in regard it cannot be found without it.

Mr. Bond had better to have begg'd the Question, let the Magnetical Poles be Di∣stant 8 d. 30 m. from the Pole of the Earth: For his Angle cannot be demonstrated up∣on the Globe.

[illustration] geometrical diagram

Fig: 2.

In Answer unto Mr. Bonds Question, be∣tween Ballasore and London.

I Sail from the Meridian and Parallel of London South-West-wards of Good-hope, and then North-East-wards into North Latitude 22 d. 30 m. the Magnetical La∣titude or Inclination 32 d. 10 m. the Magnetical Co-latitude in the Caroline Table 72 d. 33 m. and the Distance of the Magnetical Pole from the Pole of the Earth 8 d. 30 m. I demand how far the Mag∣netical Meridian is East or West of the Meridian of London?

Here place the second Figure.

To Demonstrate this Sphere upon the Globe.

THe Brass Meridian, in which the Globe moves, is the Meridian of London; so bring any Meridian upon the

Globe to the Brass Meridian; and from the Poles make a Mark upon the Meridian of the Globe, just under 8 d. 30 m. of the Brass Meridian, for the Magnetick Pole. So take 72 d. 33 m. the Magnetick Pole Distant from the Parallel of 22 d. 30 m. No Latitude from the Equator; and fix one point of your Compasses in the Mag∣netical Pole 8 d. 30 m. turning the Globe Eastwards, until 72 d. 33 m. will cut in the Parallel of Ballasore 22 d. 30 m. just under the Brass Meridian of the Globe, so make a Mark, and let the Globe stand, then is L N the Magnetick Pole Distant from the Meridian of London 72 d. 33 m. and L S is the Co-latitude of Ballasore 67 d. 30 m. and N S is the Distance of the Magnetical Pole, from the Pole of the Earth 8 d. 30 m. and the Angle L S N, is what the Magne∣tick Meridian is gone from the Brass Me∣ridian, or the Meridian of London, and I D is the Magnetick Latitude 32 d. 10 m. and L A is the Latitude of Ballasore 22 d. 30 m.

By this Demonstration you may see the Distance of the Magnetick Poles, and the

Magnetick Co-latitude, and the Co-lati∣tude of the Place will hold their De∣monstrations in Proportion to the Poles of the Earth; then why should we fancy the Magnetick Poles in the Air?

Upon the Sphere M, Q, N, O is the Me∣ridian of the Magnetick Poles, and Q O is the Magnetick Equator, and E W is the Equator to the Poles of the Earth, and M L N is the Magnetick Meridian, crossing the Brass Meridian, or the Meridian of London, in the Parallel of 22 d. 30 m. So is S N the Magnetick Pole Distant from the Poles of the Earth, and L S is the Co-la∣titude of Ballasore, and N L is the Magne∣tick Pole Distant from the Meridian of London 72 d. 33 m. in the Parallel of 22 d. 30 m. and S L P is the Meridian of London, and not the Meridian of Ballasore, yet I place L in the Parallel of Ballasore, in the Meridian of London, in regard I did take the Inclination of the Inclinatory Needle in that Parallel.

For it is supposed, if I would find the Difference of Longitude from London; I have Sailed into unknown Parts, and ob∣serve

and find my Latitude, and my Mag∣netick Latitude; and now I would find how far I am East or West of the Meridi∣an of London: So I ought not to say S L P, is the Meridian of Ballasore, in regard I am to find it; but to make S L P the Me∣ridian of London, from whence I came; so the Magnetick Co-latitude will be in pro∣portion to what the Magnetick Meridian I am in, is from the Meridian of Lon∣don.

So is L S the Co-latitude of Ballasore 67 d. 30 m. in the Meridian of London; and S N, the Distance of the Magnetick Pole, ftom the Pole of the Earth 8 d. 30 m. And L N is the Magnetick Co-lati∣tude 72 d. 33 m. Now the Angle at the Pole N S L, will be found 125 d. 00 m. that the Magnetick Meridian of Bal∣lasore is, from the Meridian of Lon-don Eastwards, which should be the Magnetick Meridian of Ballasore at B, from the Me∣ridian of London L, the complement of 125 d. 00 m. out of 180 d. is the Angle A S W 55 d. 00 m. that the Magnetick Me∣ridian is West of the Meridian of London.

The Angle is drawn from the Sphere: the Work follows.

[illustration] geometrical diagram

Fig: 3

	d.	m.
LN,	72	33
NS, the residuum Sine	08	30	083029
SL, the residuum Sine	67	30	003438
The Sum of the sides	148	33
The half Sum	74	16½
The Sine of the first difference	65	56	995993
The Sine of the second difference	6	46	907124
The Sum			1989584
The half Sum			994792

994792 the sine thereof is 62 d. 30 m. the double thereof is 125 d. 00 m. the An∣gle at the Pole of the Earth N S L, which should be the Difference of Longitude: But since Mr. Bond makes London the first Meridian, from whence Longitude shall take its beginning, as in the Question be∣fore, Ballasore should have Longitude 125 d. 00 m. East of the Meridian of London; let the Table of Longitude say what it will, for the Table of Longitudes is no other than the difference of Meridians by Jour∣nal: But if I find the difference of Longi∣tude by the Magnetick Co-latitude, and the distance of the Magnetick Pole, and the Co-latitude of the place, it should correct what has been laid down by Jour∣nal; for I do not take what has been laid down by Journal to be true, in regard there is no certain Observation to lead us to it: For if London be not the Meridian, from whence the Magnetick Co-latitude takes its beginning towards the Magnetick Poles; then the distance of the Magnetick Meridian from the Meridian of London, cannot give the difference of Meridians.

Mr. Bonds way to prove what the Mag∣netick Meridian is gone to the Eastwards, is thus: First, he knows his Magnetick Co-latitude at Ballasore, and the Co-la∣titude of the place, and the distance of the Magnetick Pole; and so finds the di∣stance of the Magnetick Meridian, from the Meridian of London 125 d. 00 m. so then finding 125 d. 00 m. doth not an∣swer the Longitude by Journal; he pro∣ceeds to find what the Magnetick Meridi∣an is gone to the Eastwards: thus, he gives the Co-latitude, and the distance of the Magnetick Pole, and the Longitude by Journal 119 d. 12 m. and to this he adds 6 d. which makes 125 d. 12 m. the distance of the Magnetick Meridian, to find the Magnetick Co-latitude: This is but turning the Question.

So that you must know your Longitude by Journal 119 d. 12 m. before you can find what the Magnetick Meridian is gone to the Eastwards.

Mr. Bonds way is thus: Substract 119 d. 12 m. the Longitude by Journal, from 125 d. 12 m. the distance of the Magne∣tick

Meridian, from the Meridian of Lon∣don, and you have 6 d. 00 m. that the Magnetick Meridian is gone to the East∣wards: So by this Mr. Bond produced the Longitude by Journal, to correct the distance of the Magnetick Meridian, from the Meridian of London.

Mr. Bond must know that Longitude by Journal in all the World is laid down by Judgement; and then how rare is it for any one man, who hath been at any one Port in the World, somewhat remote, that hath found it in the very same Meridian, in regard of the many accidents that at∣tend the Practical part of the Mathematicks at Sea?

And then how is it possible to know the Longitude I am in, by the distance of the Magnetick Meridian? If I must first know the Longitude by Journal, which I cannot prove to be certain, and so correct the Observation by it, so that by this way of practice, the Inclinatory Needle is of no use; for the Magnetick Latitude, with the other proportions before, should give the Longitude without the help

of a Journal to correct his Observa∣tion.

The next thing we are further to consi∣der of is, how Mr. Bond finds what the Magnetick Meridian is gone to the East∣wards of Ballasore.

We may observe from Mr. Bonds own Sphere and Words; let the Angle W P N, be 6 d. 00 m. but this Angle W P N is not to be passed by, with a let it be so; but it must be found in proportion to the several sides, and Angles given in the Sphere. First I shall give the Co-latitude of Ballasore 67 d. 30 m. P B, and the Angle B P N 125 d. 12 m. and the Mag∣netick Co-latitude 72 d. 33 m. to find the Angle P N B.

Now to find the Angle P N B.

[illustration] geometrical diagram

Fig: 4

			d.	m.
As the Sine of the side	NB,	997953	72	33
Is to the Sine of the Angle	N P B,	991229	54	48
So is the Sine of the Side	P B,	996561	67	30
To the Sine of the Angle	P N B,	989837	52	19

So the Angle P N B, is found to be 52 d. 19 m.

Now let fall the Perpendicular in the foregoing Angle, as P W; so with the An∣gle W N P 52 d. 19 m. and the side P N 8 d. 30 m. we are to find the Angle W P N, which Mr. Bond saith, let it be 6 d. 00 m.

The Work follows.

[illustration] geometrical diagram

Fig: 5.

		d.	m.
As the Sine of	P Q,	81	30	999520
Is to the Tangent of	Q T,	37	41	988785
So is the Radius	P A,	90	00	1000000
To the Tangent of	A. g.	37	59	989265

So that A. g. 37 d. 59 m. is equal to the Angle A. P. g. or to the Angle W P N, 37 d. 59 m. de∣manded.

Now in the foregoing Angle, substract the Angle W P N, 37 d. 59 m. out of the Angle N P B 125 d. 12 m. and you have the Angle W P B, 87 d. 13 m.

And from hence it may be observed, that the Angle W P N, is 37 d. 59 m. and not 6 d. 00 m. that the Magnetick Meridian is gone to the Eastward, and the Angle W P B, is 87 d. 13 m. and not 119 d. 12 m. by Journal.

So that Mr. Bond has committed a gross error in offering to beg the Question; let the Angle W. P. N. be 6 d. 00 m. and the Angle W P B, be 119 d. 12 m. when it is contrary to all Demonstration and Practice in the Mathematicks, as it is proved in the foregoing Question.

So that by Mr. Bond's Practice, he would make the Longitude by Journal to be the certain difference of Meridians, since he corrects his Observation, from the Longi∣tude by Journal, by substracting 6 d. 00 m. from the Angle at the Pole 125 d. 12 m. to make it equal to the Longitude by Jour∣nal 119 d. 12 m. and then what need is there of finding the Longitude by the In∣clinatory

[illustration] geometrical diagram

Fig: 6.

Needle, when it is found by Journal, or to find what the Magnetick Meridian is gone to the Eastwards, when we have it by imagination; let the Angle W P N be 6 d. 00 m. that the Magnetick Pole is gone from the Meridian of London, when it is 37 d. 59 m.

The Sphere on the other side, is ac∣cording to Mr. Bonds own De∣monstration, to prove the fore∣going Work.

Here place the Sixth Figure.

And before I proceed any further, I shall make one Observation between the Me∣ridian of London and Bourdeaux. Bour∣deaux being but 20 Minutes Eastwards of the Meridian of London: See Mr. Bonds Tables of Longitude.

The Magnetical Latitude 69 d. 26 m. Bourdeaux Latitude N° 45 d. 16 m. the

Magnetick Co-latitude 36 d. 54 m. the di∣stance of the Magnetick Pole, from the Pole of the Earth 8 d. 30 m. to find the Angle of the Pole of the Earth.

The Demonstration of this Sphere upon the Globe, is according to my former.

Here place the seventh Figure.

	d.	m.
N L,	36	54
S N, the residuum Sine	08	38	083029
L S, the residuum Sine	44	50	015178
The Sum of the Sides	90	14
The half Sum of the Sides	45	07
The Sine of the first Difference	36	37	977558
The Sine of the second Difference	00	17	769417
The Sum			1845182
The Sine of the half Sum	09	41	922591

Which 9 d. 41 m. being doubled, you have 19 d. 22 m. for the Angle at the Pole

[illustration] geometrical diagram

Fig: 7

of the Earth, then substract 6 d. from it, as in the case of Ballasore, Bourdeaux be∣ing Eastward of the Meridian of London, and you have 13 d. 22 m. for the difference of Longitude, between London and Bourde∣aux, which is 13 d. 00 m. more than the truth by Journal. See in Mr. Bonds Tables of Longitude.

And from hence you may observe, that the Magnetical Needle, or Inclinatory Needle, cannot give the Magnetical La∣titude in proportion to any one Meridian of the Earth.

In Answer to Mr. Bond's Question, upon Cape Charles, comparing it with the new Isle of Providence in the same Meri∣dian.

FIrst, of Cape Charles Latitude 37 d. 39 m. the distance of the Magnetick Pole, from the Pole of the Earth 8 d. 30 m. the Magnetick Co-latitude 49 d. 18 m.

to find how far the Magnetick Meridians are East and West of the Meridian of London.

The Demonstration of this Question upon the Globe, is the same way as in the first Question.

Here place the eighth Figure.

M Q N O, is the Meridian of the Mag∣netick Pole, and S N is the distance of the Magnetick Pole, from the Pole of the Earth 8 d. 30 m. and L S, is the Co-lati∣tude, 52 d. 21 m. And L N is the Mag∣netick Co-latitude 49 d. 18 m.

The Work follows.

[illustration] geometrical diagram

Fig: 8.

	d.	m.
N L,	49	18
S N, the residuum Sine of	08	30	083029
L S the residuum Sine of	52	21	010140
The Sum of the Sides	110	09
The Sine of the half Sum	055	04½	991371
The side opposite to the Angle, substract	49	18
The Sine of the Difference	05	46	900206
The Sum of all			1984746
The Sine of the half Sum	57	02	992373

The Complement of 57 d. 02 m. is 32 d. 58 m. the double thereof is 65 d. 56 m. the Angle N S L.

So the Angle L S N, being found 65 d. 56 m. that the Magnetick Meridian is to the Westward of the Lizard, whose Complement is the Angle L S C 114 d. 04 m. that the Magnetick Meridian is to the Eastward of the Meridian of the Li∣zard.

But I observe the Co-latitude of the Magnetick Pole in its proportions, does not make out the Longitude in Mr. Bonds Tables to the Meridian of London by 04 d. 4 m. But, I suppose, Mr. Bond did make

choice of the Meridian of the Lizard to be the Meridian in propotion to the Magneti∣cal Co-latitude at Cape Charles, in re∣gard the Magnetical Co-latitude at Cape Charles, would not give the Magnetical Meridian in proportion to the Meridian of London. And here we are to observe, if the Magnetical Co-latitude, with the other proportions, in one and the same Meridian of the Earth, will not give the fame An∣gle at the Pole in all Parallels, that cross that Meridian, then the Inclinatory Nee∣dle cannot perform the Work of finding the Longitude, in regard you cannot tell where to find the Magnetical Meridian, in proportion to any one Meridian of the Earth.

Now we are to prove, that the Angle at the Pole does alter in one and the same Meridian of the Earth, from Mr. Bonds Observations by the Inclinatory Needle, when according to truth every Meridian keeps its Longitude from the Poles in all Parallel.

Cape Charles, and the New Island of Providence, are both under one and the same Meridian. See Mr. Bonds Tables of Longitude 70 d. 00 m. Westward of the Meridian of London.

Now suppose I was at the new Island of Providence, and should observe and find it in the Latitude of 25 d. 25 m. N°. and should find the inclination of the Inclina∣tory Needle 48 d. 39 m. and in the Caro∣line Table, the Magnetick Co-latitude 60 d. 24 m. and the Magnetick Pole di∣stant from the Pole of the Earth 8 d. 30 m. to find the Angle at the Pole of the Earth L S N.

[illustration] geometrical diagram

Fig: 9

	d.	m.
L N,	60	24
S L, the residuum Sine of	64	35	004421
N S, the residuum Sine of	08	30	083029
The Sum of the Sides	133	29
The Sine of the half Sum	66	44½	996316
The Side opposite to the Angle, substract	60	24
The Sine of the difference	06	20½	904264
The Sum			1988028
The Sine of the half Sum	60	36	994014

The Complement of 60 d. 36 m. is 29 d. 24 m. the double thereof is 58 d. 48 m. for the Angle at the Pole of the Earth L S N.

Now substract 58 d. 48 m. the Angle at the Pole, that the Magnetick Meridian of New Providence makes with the Meridian of the Lizard, from 65 d. 56 m. the An∣gle at the Pole, that the Magnetical Meri∣dian of Cape Charles, makes with the Me∣ridian of the Lizard, and you have 07 d. 08 m. that the Magnetical Meridians or Angles at the Pole do differ in the same Meridian of Cape Charles, when ac∣cording to truth every Meridian keeps its Longitude from the Poles of the Earth in all Parallels.

So that the Magnetical Co-latitude un∣der one and the same Meridian of the Earth, doth alter the Angles at the Pole, and then the Magnetick Co-latitude, un∣der one and the same Meridian of the Earth, is not in proportion to the Meri∣dian of the Lizard, or any certain Meridi∣an of the Earth.

Another Observation between London and Amsterdam, comparing it with Antwerp, being in the same Meridian of Amster∣dam. See Mr. Bonds Tables of Longi∣tude 4. d. 37 m. Eastward of the Meridian of London.

AMsterdam Latitude 52 d. 40 m. the Magnetick Latitude 74 d. 22 m. and in the Caroline Table the Magnetick Co∣latitude is 29 d. 16 m. and the distance of the Magnetick Pole, from the Pole of the Earth 8 d. 30 m. to find the Angle of the Pole of the Earth.

Here place the tenth Figure.

L S, the Co-latitude of Amsterdam, and N L, the Magnetick Colatitude, and S N is the distance of the Magnetick Pole, from the Pole of the Earth.

Now suppose I was at Amsterdam, and should observe and find it in the Latitude

[illustration] geometrical diagram

Fig: 10

of 52 d. 40 m. and should find the Incli∣nation or Magnetick Latitude 74 d. 22 m. and in the Caroline Table, the Magne∣tick Co-latitude to be 29 d. 16 m. And the Magnetick Pole distant from the Pole of the Earth 8 d. 30 m. So that by the fol∣lowing Work, I find the Angle of the Pole of the Earth to be 16 d. 30 m. then we are to substract 6 d. 00 m. as in the case of Ballasore, that the Magnetick Meridian (as Mr. Bond saith) is gone to the Eastward, and there remains 10 d. 30 m. for the dif∣ference of Longitude betwen London and Amsterdam: Whereas in Mr. Bonds Ta∣bles of Longitude he makes but 4 d. 37 m. Longitude Eastward of the Meridian of London, which being substracted out of 10 d. 30 d. there remains 5 d. 53 m. over and above the difference of Longitude be∣tween London and Amsterdam: So that the inclination of the Inclinatory Needle, with his Co-latitude, is not in proportion to the Meridian of London, or any certain Meridian of the Earth.

	d.	m.
L N,	29	16
S N, the residuum Sine	08	30	083029
S L, the residuum Sine	37	20	021720
The Sum of the sides	75	06
The Sine the half Sum	37	33	978494
The Side of opposite substract	29	16
The Sine of the difference	08	17	915856
The Sum			1999099
The Sine of the half Sum	81	45	999549½

The Complement of 81 d. 45 m. is 8. d. 15 m. the double thereof is 16 d. 30 m. for the Angle at the Pole of the Earth; and we are further to prove, that the inclina∣tion of the Inclinatory Needle with his Co-latitude at Amsterdam and Antwerp do alter the Angles at the Pole, although these two places are under one and the same Meridian of the Earth, when accord∣ing unto truth the Angles at the Pole of the Earth should be the same, when you are under one and the same Meridian of the Earth.

Antwerp Latitude 51 d. 37 m. N° the Magnetick Latitude, or Inclination 73 d. 48 m. N° the Magnetick Co-latitude in the Caroline Table 30 d. 09 m. the di∣stance of the Magnetick Pole, from the Pole of the Earth 08 d. 30 m. to find the Angle at the Pole of the Earth.

[illustration] geometrical diagram

Fig: 11.

	d.	m.
L N,	30	09
S N, the residuum Sine	38	23	020696
S L, the residuum Sine	08	30	083029
The Sum of the Sides	77	02
The Sine of the half Sum	38	31	979430
The Side opposite substract	30	09
The Sine of the difference	08	22	916288
The Sum			1999443
The Sine of the half Sum	83	31	999721½

The Complement of 83 d. 31 m. is 6 d. 29 m. the double thereof is 12 d. 58 m. the Angle at the Pole of the Earth. So having found the Angle at the Pole of the Earth, in the Meridian and Parallel of Antwerp to be 12 d. 58 m. I substract 12 d. 58 m. the Angle at the Pole of the Earth, from the Angle at the Pole of the Earth in the Meridian and Parallel of Amsterdam 16 d. 30 m. and there remains 3 d. 32 m. that the Angles at the Pole of of the Earth differ under one and the same Meridian of the Earth. For as all places under one and the same Parallel of the Earth, are in one and the same Latitude,

so have all places under one and the same Meridian of the Earth, the same Longitude from the Azores, or any other Meridian, from whence you will make the difference of Meridians to begin at.

So that if there was any truth in the Observation, from the Inclinatory Needle, it should give the Angles alike at the Pole; when you are under one and the same Me∣ridian of the Earth.

Portsmouth Latitude 51 d. 08 m. N°. the Magnetick Latitude, or inclination 72 d. 52 m. whose Complement in the Caro∣line Table is 31 d. 40 m. the distance of the Magnetick Poles, from the Poles of the Earth 8 d. 30 m. to find the Angle at the Pole of the Earth.

[illustration] geometrical diagram

Fig: 12.

	d.	m.
L N,	31	40
L S, the residuum Sine	38	52	020237
S N, the residuum Sine	08	30	083029
The Sum of the Sides	79	02
The Sine of the half Sum	39	31	980366
The Side opposite substracted	31	40
The Sine of the Difference	07	51	913538
The Sum			1997170
The Sine of the half Sum	75	27	998585

The Complement of 75 d. 27 m. is 14 d. 33 m. the double thereof is 29 d. 6 m.

the Angle at the Pole of the Earth, so the Angle at the Pole of the Earth is found to be 29 d. 6 m. So I add 4 d. 12 m. as in the Case of Cape Charles. Portsmouth be∣ing West of the Meridian of London, and it gives me 33 d. 18 m. the difference of Longitude between the Meridian of Lon∣don, and Portsmouth. And Mr. Bond makes but 01 d. 00 m. for the difference of their Meridians. See his Tables.

Lastly, we may observe from Mr. Bonds Observation taken in London by the Incli∣natory Needle, whether London be the Me∣ridian, from whence the Magnetical Lati∣tude or Inclination, with the Co-latitude in the Caroline Table, and the Co-latitude of London, with the distance of the Mag∣netick Pole, from the Pole of the Earth, will give London to be the Meridian, from whence the Magnetick Co-latitude, with the other proportions, shall give the An∣gle at the Pole of the Earth, to be 6 d. 00 m. that the Magnetick Pole is from the Meridian of London Eastwards, as Mr. Bonds faith in the case of Ballasore. But if the Angle appear to be more or less

than 6 d. then the Inclination of the Incli∣natory Needle, is not in proportion to the Meridian of London; so that London cannot be said to be the Meridian, from whence Longitude shall begin at.

London Latitude 51 d. 32 m. the Mag∣netick Latitude or Inclination 73 d. 47 m. the Magnetick Co-latitude in the Caroline Table 30 d. 11 m. the distance of the Magnetick Pole, from the Pole of the Earth 8 d. 30 m. to find the Angle at the Pole of the Earth. I. S N.

	d.	m.
N L,	30	11
S L, the residuum Sine of	38	28	020616
N S, the residuum Sine of	08	30	083029
The Sum of the Sides	77	09
The half Sum, the Sine	38	34½	979478
The Side opposite substract	30	11
The Sine of the difference	08	23	916374
The Sum			1999497
The Sine of the half Sum	83	51	999748½

[illustration] geometrical diagram

Fig. 13:

The Complement of 83 d. 51 m. is 6 d. 09 m. the double thereof is 12 d. 18 m. the Angle at the Pole of the Earth L S N.

Here place the thirteenth Figure.

So is L N, the Magnetick Co-latitude 30 d. 11 m. and L S is the Co-latitude of London 38 d. 28 m. and S N, is the Mag∣netick Pole distant from the Pole of the Earth 8 d. 30 m. so that the Angle at the Pole of the Earth L S N, is found to be 12 d. 18 m. in the Meridian and Parallel of London, then substract 60 d. 00 m. from 12 d. 18 m. as in the case of Ballasore. That Mr. Bond saith the Magnetick Pole is from the Meridian of London, and you have 6 d. 18 m. for the difference of Longitude in the Meridian of London; whereas Mr. Bond saith London has no Longitude: See his Tables. So that Mr. Bond must be under a very great mistake in making the Magnetick Inclination of

the Inclinatory Needle at London, to be in proportion, unto the Meridian of Lon∣don, from whence Longitude shall begin at. When according to his own Observa∣tion by the Inclinatory Needle in Lon∣don, with the Magnetical Colatitude in the Caroline Table, and the Co-latitude of London, and the distance of the Mag∣netick Pole, from the Pole of the Earth, London should have Longitude 6 d. 18 m. having given the Allowance Mr. Bond requires, as in the case of Balla∣sore.

The truth is the Inclination of the In∣clinatory Needle, is not in proportion unto the Meridian of London, or any cer∣tain Meridian of the Earth, whereby the difference of the Meridians may be known by the Inclination of the Inclina∣tory Needle.

To sum up all; Mr. Bond pretends to find, what the Magnetick Meridian is gone to the Eastward, as in the case of Balla∣sore, by saying let the Angle W P N be 6 d. 00 m. that the Magnetick Pole is from the Meridian of London. Whereas

the Angle W P N, according to the pro∣portions of the Sides and Angles, contained in the Angles P. B N, is 37 d. 59 m. and not 6 d. 00 m. that the Magnetick Pole is gone to the Eastward of the Meridian of London. And the Angle W P B is 87 d. 13 m. and not 119 d. 12 m. by Jour∣nal.

Likewise it is proved, that all places in one and the same Meridian of the Earth, do alter their Angles at the Pole, from the Observations of the Inclinatory Needle, when according to truth all places, under one and the same Meridian of the Earth, should make one and the same Angle at the Pole, otherwise the difference of Me∣ridians cannot be found.

Likewise it is proved from several places near unto the Meridian of London, and in the Meridian of London, that the Angles at the Pole of the Earth, is no way in pro∣portion unto the Meridian of London, or that London is the Meridian from whence Longitude shall take its beginning in pro∣portion to the Inclination of the Inclina∣tory Needle. So that the Inclination of the

In∣clinatory Needle is no way in proportion unto any certain Meridian of the Earth, from whence all Meridians should take their Distance.

For these Reasons the Longitude cannot be found by the Inclinato∣ry Needle.

Here follow Mr. Bonds Caroline Tables of the Complements of the Magnilatitudes to eve∣ry Five Minutes of Inclination of the In∣clinatory Needle, from the Magnequa∣tor unto 84 d 01 m. of Magnilatitude, and 87 d. 00 m. of Inclination.

d.	m.	d.	m.
0	05	89	58
0	10	89	55
0	15	89	53
0	20	89	50
0	25	89	48
0	30	89	45
0	35	89	42
0	40	89	40
0	45	89	38
0	50	89	35
0	55	89	33
1	00	89	30
1	05	89	28
1	10	89	25
1	15	89	23
1	20	89	20
1	25	89	18
1	30	89	15
1	35	89	13
1	40	89	10
1	45	89	08
1	50	89	05
1	55	89	03
2	00	89	00
2	05	88	58
2	10	88	55
2	15	88	53
2	20	88	50
2	25	88	48
2	30	88	45
2	35	88	43
2	40	88	40
2	45	88	38
2	50	88	35
2	55	88	32
3	00	88	30
3	05	88	28
3	10	88	25
3	15	88	22
3	20	88	20
3	25	88	18
3	30	88	15
3	35	88	13
3	40	88	10
3	45	88	08
3	50	88	05
3	55	88	03
4	00	88	00
4	05	87	57
4	10	87	55
4	15	87	53
4	20	87	50
4	25	87	48
4	30	87	45
4	35	87	42
4	40	87	40
4	45	87	37
4	50	87	35
4	55	87	32
4	00	87	30
5	05	87	27
5	10	87	25
5	15	87	22
5	20	87	20
5	25	87	17
5	30	87	15
5	35	87	12
5	40	87	10
5	45	87	07
5	50	87	05
5	55	87	02
6	00	87	00
6	05	86	57
6	10	86	55
6	15	86	52
6	20	86	50
6	25	86	47
6	30	86	45
6	35	86	42
6	40	86	40
6	45	86	37
6	50	86	35
6	55	86	32
7	00	86	29
7	05	86	27
7	10	86	24
7	15	86	21
7	20	86	19
7	25	86	16
7	03	86	14

7	35	86	11
7	40	86	09
7	45	86	06
7	50	86	04
7	55	86	01
8	00	85	59
8	05	85	56
8	10	85	54
8	15	85	51
8	20	85	49
8	25	85	46
8	30	85	44
8	35	85	41
8	40	85	39
8	45	85	36
8	50	85	34
9	55	85	31
9	00	85	29
9	05	85	26
9	10	85	23
9	15	85	20
9	20	85	18
9	25	85	16
9	30	85	13
9	35	85	10
9	40	85	08
9	45	85	05
9	50	85	03
9	55	85	01
10	00	84	58
10	05	84	55
10	10	84	53
10	15	84	50
10	20	84	47
10	25	84	45
10	30	84	42
10	35	84	40
10	40	84	37
10	45	84	35
10	50	84	32
10	55	84	29
11	00	84	27
11	05	84	24
11	10	84	22
11	15	84	19
11	20	84	17
11	25	84	14
11	30	84	12
11	35	84	09
11	40	84	06
11	45	84	04
11	50	84	01
11	55	83	58
12	00	83	56
12	05	83	53
12	10	83	51
12	15	83	48
12	20	83	46
12	25	83	43
12	30	83	40
12	35	83	38
12	40	83	35
12	45	83	32
12	50	83	30
12	55	83	27
13	00	83	25
13	05	83	22
13	10	83	20
13	15	83	17
13	20	83	14
13	25	83	12
13	30	83	09
13	35	83	07
13	40	83	04
13	45	83	02
13	50	82	59
13	55	82	56
14	00	82	54
14	05	82	51
14	10	82	48
14	15	82	46
14	20	82	43
14	25	82	41
14	30	82	38
14	35	82	35
14	40	82	33
14	45	82	30
14	50	82	27
14	55	82	25
15	00	82	22

15	05	82	20
15	10	82	17
15	15	82	14
15	20	82	12
15	25	82	09
15	30	82	06
15	35	82	04
15	40	82	01
15	45	81	58
15	50	81	56
15	55	81	53
16	00	81	50
16	05	81	48
16	10	81	45
16	15	81	43
16	20	81	40
16	25	81	37
16	30	81	35
16	35	81	32
16	40	81	29
16	45	81	26
16	50	81	24
16	55	81	21
17	00	81	19
17	05	81	16
17	10	81	13
17	15	81	10
17	20	81	08
17	25	81	05
17	30	81	03
17	35	81	00
17	40	80	57
17	45	80	54
17	50	80	52
17	55	80	49
18	00	80	46
18	05	80	44
18	10	80	41
18	15	80	38
18	20	80	35
18	25	80	33
18	30	80	30
18	35	80	27
18	40	80	25
18	45	80	22
18	50	80	19
18	55	80	17
19	00	80	14
19	05	80	11
19	10	80	08
19	15	80	06
19	20	80	03
19	25	80	00
19	30	79	58
19	35	79	55
19	40	79	52
19	45	79	49
19	50	79	47
19	55	79	44
10	00	79	41
20	05	79	38
20	10	79	36
20	15	79	33
20	20	79	30
20	25	79	28
20	30	79	25
20	35	79	22
20	40	79	19
20	45	79	16
20	50	79	14
20	55	79	11
21	00	79	08
21	05	79	05
21	10	79	03
21	15	79	00
21	28	78	58
21	25	78	55
21	30	78	52
21	35	78	48
21	40	78	45
21	45	78	42
21	50	78	40
21	55	78	37
22	00	78	35
22	05	78	32
22	10	78	29
22	15	78	26
22	20	78	23
22	25	78	21
22	30	78	18

22	35	75	15
22	40	78	12
22	45	78	10
22	50	78	07
22	55	78	04
23	00	78	01
23	05	77	58
23	10	77	55
23	15	77	53
23	20	77	50
23	25	77	47
23	30	77	44
23	35	77	41
23	40	77	39
23	45	77	36
23	50	77	33
23	55	77	30
24	00	77	27
24	05	77	24
24	10	77	21
24	15	77	18
24	20	77	15
24	25	77	13
24	30	77	10
24	35	77	07
24	40	77	04
24	45	77	01
24	50	76	58
24	55	76	55
25	00	76	52
25	05	76	50
25	10	76	47
25	15	76	44
25	20	76	41
25	25	76	38
25	30	76	35
25	35	76	32
25	40	76	29
25	45	76	26
25	50	76	24
25	55	76	21
26	00	76	18
26	05	76	15
26	10	76	12
26	15	76	09
26	20	76	06
26	25	76	03
26	30	76	00
26	35	75	57
26	40	75	52
26	45	75	51
26	50	75	48
26	55	75	45
27	00	75	42
27	05	75	39
27	10	75	36
27	15	75	34
27	20	75	31
27	25	75	28
27	30	75	25
27	35	75	22
27	40	75	19
27	45	75	16
27	50	75	13
27	55	75	10
28	00	75	07
28	05	75	04
28	10	75	01
28	15	74	58
28	20	74	55
28	25	74	52
28	30	74	49
28	35	74	46
28	40	74	43
28	45	74	40
28	50	74	36
28	55	74	33
29	00	74	30
29	05	74	27
29	10	74	24
29	15	74	21
29	20	74	18
29	25	74	15
29	30	74	12
29	35	74	09
29	40	74	06
29	45	74	03
29	50	74	00
29	55	73	57
30	00	73	54

30	05	73	51
30	10	73	48
30	15	73	45
30	20	73	42
30	25	73	38
30	30	73	35
30	35	73	32
30	40	73	29
30	45	73	26
30	50	73	23
30	55	73	20
31	00	73	17
31	05	73	13
31	10	73	10
31	15	73	07
31	20	73	04
31	25	73	01
31	30	72	58
31	35	72	55
31	40	72	52
31	45	72	49
31	50	72	45
31	55	72	42
32	00	72	39
32	05	72	36
32	10	72	33
32	15	72	29
32	20	72	26
32	25	72	23
32	30	72	20
32	35	72	17
32	40	72	14
32	45	72	10
32	50	72	07
32	55	72	04
33	00	72	01
33	05	71	58
33	10	71	55
33	15	71	52
33	20	71	48
33	25	71	45
33	30	71	41
33	35	71	38
33	40	71	35
33	45	71	32
33	50	71	28
33	55	71	25
34	00	71	22
34	05	71	18
34	10	71	15
34	15	71	12
34	20	71	09
34	25	71	05
34	30	71	02
34	35	70	59
34	40	70	56
34	45	70	52
34	50	70	49
34	55	70	46
35	00	70	42
35	05	70	39
35	10	70	36
35	15	70	32
35	20	70	29
35	25	70	26
35	30	70	22
35	35	70	19
35	40	70	16
35	45	70	12
35	50	70	09
35	55	70	05
36	00	70	02
36	05	69	59
36	10	69	56
36	15	69	52
36	20	69	49
36	25	69	45
36	30	69	42
36	35	69	38
36	40	69	35
36	45	69	32
36	50	69	28
36	55	69	25
37	00	69	21
37	05	69	18
37	10	69	14
37	15	69	11
37	20	69	07
37	25	69	04
37	30	69	01

37	35	68	57
37	40	68	54
37	45	68	50
37	50	68	47
37	55	68	43
38	00	68	40
38	05	68	36
38	10	68	33
38	15	68	29
38	20	68	26
38	25	68	22
38	30	68	19
38	35	68	15
38	40	68	12
38	45	68	08
38	50	68	05
38	55	68	01
39	00	67	57
39	05	67	54
39	10	67	50
39	15	67	47
39	20	67	43
39	25	67	40
39	30	67	36
39	35	67	33
39	40	67	29
39	45	67	26
39	50	67	22
39	55	67	18
40	00	67	14
40	05	67	10
40	10	67	06
40	15	67	03
40	20	67	00
40	25	66	56
40	30	66	53
40	35	66	49
40	40	66	45
40	45	66	42
40	50	66	38
40	55	66	34
41	00	66	30
41	05	66	27
41	10	66	23
41	15	66	20
41	20	66	16
41	25	66	12
41	30	66	08
41	35	66	04
41	40	66	01
41	45	65	57
41	50	65	53
41	55	65	50
42	00	65	46
42	05	65	42
42	10	65	38
42	15	65	34
42	20	65	31
42	25	65	27
42	30	65	23
42	35	65	19
42	40	65	15
42	45	65	12
42	50	65	08
42	55	65	04
43	00	65	00
43	05	64	56
43	10	64	53
43	15	64	49
43	20	64	45
43	25	64	41
43	30	64	37
43	35	64	33
43	40	64	29
43	45	64	25
43	50	64	21
43	55	64	17
44	00	64	14
44	05	64	10
44	10	64	06
44	15	64	02
44	20	63	58
44	25	63	54
44	30	63	50
44	35	63	46
44	40	63	42
44	45	63	38
44	50	63	34
44	55	63	30
45	00	63	26

45	05	63	22
45	10	63	18
45	15	63	14
45	20	63	10
45	25	63	06
45	30	63	02
45	35	62	58
45	40	62	54
45	45	62	50
45	50	62	46
45	55	62	42
46	00	62	38
46	05	62	34
46	10	62	30
46	15	62	25
46	20	62	21
46	25	62	17
46	30	62	14
46	35	62	09
46	40	62	05
46	45	62	00
46	50	61	56
46	55	61	52
47	00	61	48
47	05	61	44
47	10	61	40
47	15	61	35
47	20	61	31
47	25	61	27
47	30	61	23
47	35	61	19
47	40	61	14
47	45	61	10
47	50	61	06
47	55	61	02
48	00	60	57
48	05	60	53
48	10	60	49
48	15	60	44
48	20	60	40
48	25	60	36
48	30	60	32
48	35	60	27
48	40	60	23
48	45	60	19
48	50	60	14
48	55	60	10
49	00	60	06
49	05	60	01
49	10	59	59
49	15	59	52
49	20	59	48
49	25	59	44
49	30	59	39
49	35	59	35
49	40	59	30
49	45	59	26
49	50	59	22
49	55	59	17
50	00	59	13
50	05	59	08
50	10	59	04
50	15	58	50
50	20	58	55
50	25	58	50
50	30	58	46
50	35	58	41
50	40	58	37
50	45	58	32
50	50	58	27
50	55	58	23
51	00	58	18
51	05	58	14
51	10	58	09
51	15	58	05
51	20	58	00
51	25	57	56
51	30	57	51
51	35	57	46
51	40	57	41
51	45	57	37
51	50	57	32
51	55	57	28
52	00	57	23
52	05	57	18
52	10	57	14
52	15	75	09
52	20	57	04
52	25	56	59
52	30	56	55

52	35	56	50
52	40	56	45
52	45	56	40
52	50	56	36
52	55	56	31
53	00	56	26
53	05	56	21
53	10	56	16
53	15	56	12
53	20	56	07
53	25	56	02
53	30	55	57
53	35	55	52
53	40	55	47
53	45	55	43
53	50	55	38
53	55	55	33
54	00	55	28
54	05	55	23
54	10	55	18
54	15	55	13
54	20	55	08
54	25	55	03
54	30	55	58
54	35	54	53
54	40	54	48
* 1.154	45	54	43
54	50	54	38
54	55	54	33
55	00	54	28
55	05	54	23
55	10	54	18
55	15	54	13
55	20	54	08
55	25	54	03
55	30	53	58
55	35	53	53
55	40	53	48
55	45	53	43
55	50	53	37
55	55	53	32
55	00	53	27
56	05	53	22
56	10	53	17
56	15	53	12
56	20	53	06
56	25	53	01
56	30	52	56
56	35	52	51
56	40	52	45
56	45	52	40
56	50	52	35
56	55	52	30
57	00	52	24
57	05	52	19
57	10	52	14
57	15	52	09
57	20	52	03
57	25	51	58
57	30	51	52
57	35	51	47
57	40	51	42
57	45	51	36
57	50	51	31
57	55	51	26
58	00	51	20
58	05	51	15
58	10	51	09
58	15	51	04
58	20	50	58
58	25	50	53
58	30	50	47
58	35	50	42
58	40	50	36
58	45	50	31
58	50	50	25
58	55	50	20
59	00	50	14
59	05	50	09
59	10	50	08
59	15	49	57
59	20	49	53
59	25	49	46
59	30	49	40
59	35	49	35
59	40	49	29
59	45	49	24
59	50	49	18
59	55	49	12
60	00	49	06

60	05	49	01
60	10	48	55
60	15	48	49
60	20	48	43
60	25	48	38
60	30	48	32
60	35	48	26
60	40	48	20
60	45	48	14
60	50	48	09
60	55	48	03
61	00	47	57
61	05	47	51
61	10	47	45
61	15	47	39
61	20	47	33
61	25	47	27
61	30	47	21
61	35	47	16
61	40	47	10
61	45	47	04
61	50	46	58
61	55	46	52
62	00	46	46
62	05	46	39
62	10	46	34
62	15	46	28
62	20	46	21
62	25	46	15
62	30	46	09
62	35	46	03
62	40	45	57
62	45	45	51
62	50	45	45
62	55	45	39
63	00	45	32
63	05	45	26
63	10	45	20
63	15	45	14
63	20	45	07
63	25	45	01
63	30	44	55
63	35	44	49
63	40	44	42
63	45	44	36
64	50	44	30
64	55	44	24
64	00	44	17
64	05	44	11
64	10	44	05
64	15	43	58
64	20	43	52
64	25	43	45
64	30	43	39
64	35	43	33
64	40	43	26
64	45	43	20
64	50	43	13
64	55	43	07
65	00	43	00
65	05	42	54
65	10	42	47
65	15	42	41
65	20	42	34
65	25	42	27
65	30	42	21
65	35	42	14
65	40	42	08
65	45	42	01
65	50	41	54
65	55	41	48
66	00	41	41
66	05	41	34
66	10	41	28
66	15	41	21
66	20	41	14
66	25	41	07
66	30	41	01
66	35	40	54
66	40	40	47
66	45	40	40* 1.2
66	50	40	33
66	55	40	26
67	00	40	20
67	05	40	13
67	10	40	06
67	15	39	59
67	20	39	52
67	25	39	46
67	30	39	38

67	35	39	32
67	40	39	24
67	45	39	17
67	50	39	10
67	55	39	03
68	00	38	56
68	05	38	49
68	10	38	42
68	15	38	35
68	20	38	28
68	25	38	21
68	30	38	14
68	35	38	07
68	40	38	00
68	45	37	52
68	50	37	45
68	55	37	38
* 1.369	00	37	32
69	05	37	24
69	10	37	16
69	15	37	09
69	20	37	02
69	25	36	54
69	30	36	47
69	35	36	40
69	40	36	32
69	45	36	25
69	50	36	18
69	55	36	10
70	00	36	03
70	05	35	56
70	10	35	48
70	15	35	41
70	20	35	33
70	25	35	26
70	30	35	18
70	35	35	11
70	40	35	03
70	45	34	56
70	50	34	48
70	55	34	41
71	00	34	33
71	05	34	26
71	10	34	18
71	15	34	11
71	20	34	03
71	25	33	55
71	30	33	47
71	35	33	40
71	40	33	32
71	45	33	24
71	50	33	16
71	55	33	09
72	00	33	01
72	05	32	53
72	10	32	45
72	15	32	38
72	20	32	30
72	25	32	22
72	30	32	14
72	35	32	06
72	40	31	58
72	45	31	51
72	50	31	43
72	55	31	35
73	00	31	27
73	05	31	19
73	10	31	11
73	15	31	03
73	20	30	55
73	25	30	47
73	30	30	39
73	35	30	31
73	40	30	22
73	45	30	14
73	50	30	06
73	55	29	58
74	00	29	50
74	05	29	42
74	10	29	34
74	15	29	26
74	20	29	18
74	25	29	10
74	30	29	01
74	35	28	53
74	40	28	44
74	45	28	36
74	50	28	28
74	55	28	20
75	00	28	11

75	05	28	03
75	10	27	55
75	15	27	46
75	20	27	38
75	25	27	29
75	30	27	21
75	35	27	12
75	40	27	04
75	45	26	56
75	50	26	47
75	55	26	39
76	00	26	30
76	05	26	22
76	10	26	13
76	15	26	05
76	20	25	56
76	25	25	47
76	30	25	39
76	35	25	30
76	40	25	22
76	45	25	13
76	50	25	04
76	55	24	56
77	00	24	47
77	05	24	38
77	10	24	30
77	15	24	21
77	20	24	12
77	25	24	03
77	30	23	55
77	35	23	46
77	40	23	37
77	45	23	28
77	50	23	20
77	55	23	11
78	00	23	02
78	05	22	53
78	10	22	44
78	15	22	35
78	20	22	26
78	25	22	17
78	30	22	08
78	35	21	59
78	40	21	51
78	45	21	41
78	50	21	33
78	55	21	24
79	00	21	15
79	05	21	06
79	10	20	57
79	15	20	47
79	20	20	38
79	25	20	29
79	30	20	20
79	35	20	11
79	40	20	02
79	45	19	53
79	50	19	44
79	55	19	35
80	00	19	26
80	05	19	16
80	10	19	07
80	15	18	58
80	20	18	49
80	25	18	40
80	30	18	30
80	35	18	21
80	40	18	12
80	45	18	02
80	50	17	53
80	55	17	44
81	00	17	35
81	05	17	25
81	10	17	16
81	15	17	07
81	20	16	57
81	25	16	48
81	30	16	38
81	35	16	29
81	40	16	20
81	45	16	10
81	50	16	01
81	55	15	52
82	00	15	42
82	05	15	33
82	10	15	23
82	15	15	14
82	20	15	04
82	25	14	55
82	30	14	45

82	35	14	36
82	40	14	26
82	45	14	17
82	50	14	07
82	55	13	58
83	00	13	48
83	05	13	39
83	10	13	29
83	15	13	19
83	20	13	10
83	25	13	00
83	30	12	50
83	35	12	40
83	40	12	31
83	45	12	21
83	50	12	12
83	55	12	02
84	00	11	52
84	05	11	43
84	10	11	33
84	15	11	23
84	20	11	13
84	25	11	04
84	30	10	55
84	35	10	44
84	40	10	34
84	45	10	24
84	50	10	14
84	55	10	05
85	00	09	55
85	05	09	46
85	10	09	36
85	15	09	26
85	20	09	16
85	25	09	06
85	30	08	57
85	35	08	47
85	40	08	37
85	45	08	27
85	50	08	17
85	55	08	07
86	00	07	58
86	05	07	48
86	10	07	38
86	15	07	28
86	20	07	18
86	25	07	08
86	30	06	59
86	35	06	49
86	40	06	39
86	45	06	29
86	50	06	19
86	55	06	09
87	00	05	59

A Table of the Latitude, Longitude, and the Inclination of the Inclinatory Mag∣netical Needle, in some of the most emi∣nent Places of the World, in 1676.

		d.	m.
Japan,	Latitude	038	00	North.
Longitude	143	20	East.
Inclination	063	53	North.
Bantam,	Latitude	006	15	North.
Longitude	120	50	East.
Inclination	022	53	North.
Malacca,	Latitude	006	41	North.
Longitude	120	50	East.
Inclination	005	42	North.
The North end of Sumatra,	Latitude	005	28	North.
Longitude	111	15	East.
Inclination	001	44	North.
The River of Bengale,	Latitude	022	09	North.
Longitude	116	09	East.
Inclination	031	09	North.

Cape Canoim,	Latitude	07	50	North.
Longitude	92	15	East.
Inclination	11	23	North.
Suratt,	Latitude	21	00	North.
Longitude	94	12	East.
Inclination	33	43	North.
The South end of St. Law∣rence,	Latitude	25	37	South.
Longitude	55	30	East.
Inclination	39	10	South.
The Cape of Good Hope,	Latitude	35	30	South.
Longitude	27	30	East.
Inclination	47	38	South.
St. Elena,	Latitude	16	03	South.
Longitude	04	44	East.
Inclination	15	29	South.
St. Elena Nov.	Latitude	16	03	South.
Longitude	14	24	East.
Inclination	16	23	South.

Sampson's Ri∣ver,	Latitude	04	22	North.
Longitude	30	28	East.
Inclination	22	09	North.
Old Caliber,	Latitude	04	50	North.
Longitude	19	51	East.
Inclination	23	09	North.
New Caliber,	Latitude	04	40	North.
Longitude	18	12	East.
Inclination	23	06	North.
River of Gam∣bo,	Latitude	12	47	North.
Longitude	07	41	West.
Inclination	37	54	North.
Cape de Verd,	Latitude	14	25	North.
Longitude	12	21	West.
Inclination	58	28	North.
Tangier,	Latitude	35	36	North.
Longitude	03	35	West.
Inclination	62	39	North.

Gibralter,	Latitude	36	40	North.
Longitude	03	18	West.
Inclination	03	29	North.
Malago,	Latitude	36	45	North.
Longitude	02	17	West.
Inclination	63	33	North.
Alegant,	Latitude	38	20	North.
Longitude	01	50	East.
Inclination	65	10	North.
Leagorn,	Latitude	43	28	North.
Longitude	12	39	East.
Inclination	68	01	North.
Galipolie,	Latitude	40	08	North.
Longitude	21	40	East.
Inclination	65	03	North.
Rome,	Latitude	41	50	North.
Longitude	15	45	East.
Inclination	66	43	North.

Naples,	Latitude	41	08	North.
Longitude	17	27	East.
Inclination	66	05	North.
Venice,	Latitude	45	37	North.
Longitude	17	21	East.
Inclination	69	17	North.
Constantinople,	Latitude	40	56	North.
Longitude	35	09	East.
Inclination	64	35	North.
Alexandria,	Latitude	30	40	North.
Longitude	36	04	East.
Inclination	55	39	North.
Tunis,	Latitude	36	30	North.
Longitude	03	54	East.
Inclination	63	05	North.
Argier,	Latitude	36	40	North.
Longitude	05	30
Inclination	63	14	North.

Middle of Cy∣prus	Latitude	34	18	North.
Longitude	37	45
Inclination	58	54	North.
Middle of Can∣dia,	Latitude	35	08	North.
Longitude	28	32	East.
Inclination	60	29	North.
Middle of Cor∣sica,	Latitude	42	05	North.
Longitude	11	43	East.
Inclination	67	08	North.
Middle of Sci∣silia,	Latitude	37	42	North.
Longitude	16	45	East.
Inclination	63	26	North.
Maiyork,	Latitude	39	38	North.
Longitude	05	48	East.
Inclination	65	32	North.
Cales,	Latitude	36	22	North.
Longitude	04	00	West.
Inclination	63	16	North.

Lisbon,	Latitude	39	08	North.
Longitude	06	30	West.
Inclination	65	28	North.
Cape Finister,	Latitude	43	10	North.
Longitude	08	19	West.
Inclination	69	07	North.
Burdeaux,	Latitude	45	10	North.
Longitude	00	20	East.
Inclination	69	26	North.
Rochell,	Latitude	46	17	North.
Longitude	00	30	West.
Inclination	70	27	North.
Nants,	Latitude	47	41	North.
Longitude	01	09	West.
Inclination	71	27	North.
Jarzey,	Latitude	49	30	North.
Longitude	01	00	West.
Inclination	71	34	North.

Garnzey,	Latitude	49	43	North.
Longitude	02	35	West.
Inclination	72	41	North.
Callice,	Latitude	51	13	North.
Longitude	01	52	East.
Inclination	73	34
Antwerp.	Latitude	51	37	North.
Longitude	04	37	East.
Inclination	73	48	North.
Amsterdam,	Latitude	52	40	North.
Longitude	04	37	East.
Inclination	74	22	North.
Hamborough,	Latitude	54	04	North.
Longitude	08	02	East.
Inclination	75	05	North.
Copenhagen,	Latitude	56	17	North.
Longitude	09	54	East.
Inclination	76	18	North.

Elsenore,	Latitude	56	40	North.
Longitude	09	57	East.
Inclination	76	33	North.
Gotland,	Latitude	58	20	North.
Longitude	15	58	East.
Inclination	77	14	North.
Cape Blanco, in New-found Land,	Latitude	51	32	North.
Longitude	51	00	West.
Inclination	72	24	North.
Trinity Bay,	Latitude	55	54	North.
Longitude	54	28	West.
Inclination	70	32	North.

In the Sound.

Shorham,	Latitude	58	58	North.
Longitude	21	06	East.
Inclination	77	48
Stockholm,	Latitude	58	49	North.
Longitude	14	42	East.
Inclination	77	42	North.

Scarlet Island,	Latitude	56	40	North.
Longitude	10	38	East.
Inclination	76	31	North.
Long Sound,	Latitude	58	07	North.
Longitude	07	30	East.
Inclination	77	28	North.
Naze of Nor∣way,	Latitude	58	00	North.
Longitude	05	00	East.
Inclination	77	29	North.
Cats Ness,	Latitude	61	54	North.
Longitude	02	42	East.
Inclination	79	43	North.
North Cape of Finmark,	Latitude	71	22	North.
Longitude	16	42	East.
Inclination	84	09	North.
Archangel,	Latitude	63	22	North.
Longitude	21	22	East.
Inclination	79	27	North.

Cape Blanco, in New-found Land,	Latitude	37	32	North.
Longitude	39	36	West.
Inclination	72	24	North.
Trinity Bay,	Latitude	48	55	North.
Longitude	54	28	West.
Inclination	70	32	North.
Cape Razo,	Latitude	46	28	North.
Longitude	51	54	West.
Inclination	69	05	North.
Cape Cod, in New England,	Latitude	42	20	North.
Longitude	66	56	West.
Inclination	64	44	North.
Boston,	Latitude	43	38	North.
Longitude	70	00	West.
Inclination	64	57	North.
New Plymouth,	Latitude	42	08	North.
Longitude	68	01	West.
Inclination	64	32	North.

Cape Charles, in Virginia,	Latitude	37	39	North.
Longitude	70	00	West.
Inclination	60	00	North.
Trinity Har∣bour.	Latitude	36	00	North.
Longitude	68	30	West.
Inclination	59	26	North.
Bermudas,	Latitude	23	20	North.
Longitude	54	36	West.
Inclination	57	41	North.
New Island of Providence,	Latitude	25	25	North.
Longitude	70	00	West.
Inclination	48	39	North.
Hispaniola,	Latitude	18	50	North.
Longitude	70	22	West.
Inclination	40	23	North.
Cuba,	Latitude	22	00	North.
Longitude	81	20	West.
Inclination	24	37	North.

Barbados,	Latitude	13	10	North.
Longitude	58	24	West.
Inclination	34	21	North.
Jamaica,	Latitude	18	15	North.
Longitude	78	21	West.
Inclination	38	04	North.
Suranam,	Latitude	05	55	North.
Longitude	55	16	West.
Inclination	23	01	North.

In Ireland

		d.	m.
Dublin,	Latitude	53	32	North.
Longitude	07	20	West.
Inclination	75	08	North.
Wexford,	Latitude	52	33	North.
Longitude	07	08	West.
Inclination	74	31	North.
Waterford,	Latitude	52	30	North.
Longitude	07	48	West.
Inclination	74	30	North.

Cork,	Latitude	51	10	North.
Longitude	08	20	West.
Inclination	73	32	North.
Kings Sail,	Latitude	51	52	North.
Longitude	08	32	West.
Inclination	74	07	North.
Old Head of Kings Sail,	Latitude	51	40	North.
Longitude	08	38	West.
Inclination	74	00	North.
The Blaskets,	Latitude	52	15	North.
Longitude	11	35	West.
Inclination	74	22	North.
Lymbrick,	Latitude	53	04	North.
Longitude	10	15	West.
Inclination	74	51	North.
Galloway,	Latitude	53	40	North.
Longitude	10	40	West.
Inclination	75	13	North.

In Scotland.

		d.	m.
Leith,	Latitude	56	03	North.
Longitude	03	15	West.
Inclination	76	33	North.
Aberdeen,	Latitude	57	42	North.
Longitude	02	55	West.
Inclination	77	18	North.
Isles of Orkney,	Latitude	58	50	North.
Longitude	03	22	West.
Inclination	77	35	North.

In England.

		d.	m.
Barwick,	Latitude	55	49	North.
Longitude	02	45	West.
Inclination	76	24	North.
Westchester,	Latitude	53	37	North.
Longitude	04	20	West.
Inclination	75	09	North.

Newcastle,	Latitude	54	58	North.
Longitude	02	10	West.
Inclination	75	53	North.
Glocester,	Latitude	52	03	North.
Longitude	02	45	West.
Inclination	74	15	North.
Bristol,	Latitude	51	32	North.
Longitude	02	50	West.
Inclination	73	51	North.
The Lands end,	Latitude	50	20	North.
Longitude	05	58	West.
Inclination	73	10	North.
The Lizard,	Latitude	50	10	North.
Longitude	05	24	West.
Inclination	73	02	North.
Plymouth,	Latitude	50	36	North.
Longitude	04	33	West.
Inclination	73	17	North.

Portsmouth,	Latitude	51	08	North.
Longitude	01	00	West.
Inclination	72	52	North.
Dover,	Latitude	51	25	North.
Longitude	01	00	East.
Inclination	73	41	North.
London,	Latitude	51	32	North.
Longitude	00	00
Inclination	73	47	North.

To prove the Earth the Centure of the Star∣ry Heaven, and not to have any Inclinati∣on towards the Poles, as Copernicus would have it.

THe Earth by observation keeps its Parallels with the Starry Heaven all the year, with∣out alteration; for by observation, that Star that is in the Equinoctial part of the Heaven, is always in the Equinoctial part of the Earth; so like∣wise, take all the Stars in their s everal Parallels to the Poles from the Equinoctial, and you will find they keep their Parallels with the Earth for ever.

We need not go to the Equinoctial part of the

Earth, to prove the Earth to keep her Parallels with the Equinoctial part of the Starry Heaven: For, observe in this Parallel or Latitude of London 51 d. 30 m. the Amplitude of any Star in the E∣quinoctial, either upon his Rising or Setting, and you shal find his Amplitude to be East or West of you for ever, in this Parallel or any other.

Likewise observe the Meridian Altitude of any Star in the Equinoctial, in this Parallel or Latitude 51 d. 30 m. and you shall find his Meridian Alti∣tude to be the Elevation of the Equinoctial for ever, in this Parallel or Latitude.

And by daily observations we find the Sun to alter his Amplitude, and Meridian Altitudes, and Parallels with the Starry Heaven and Earth. And we find the Starry Heaven to keep his Parallels with the Earth always, in regard the Stars keep their Meridian Altitudes and Amplitudes with the Earth, without alteration.

But if we should admit the Sun the Center of the Starry Heaven, and the Earth should have her Declination towards her Poles; then the Sun must be always in the Equinoctial part of the Starry Heaven; and the Sun must have the same Ampli∣tudes, and Meridian Altitudes, with the Stars in the Equinoctial, in all Parallels: And then the Sun, and all the Stars in Heaven, should have a daily Calculation of the Declination of the Earth, as the Earth shall alter her Parallels, by Inclining or Declining towards her Poles.

But it is proved by observation, that the Sun doth not keep his Parallels with the Starry Heaven, therefore the Sun cannot be the Center of the Star∣ry

[illustration] geometrical diagram

Heaven; in regard the Sun is not always in the Equinoctial part of that Heaven, and the Sun hath not the same Meridian Altitude, and Amplitude, and Parallel, with the Starry Heaven in the Equi∣noctial, but twice in the year, and that is as the Sun Inclines and Declines from one Tropick to another.

And it is proved by observation, that the Equi∣noctial part of the Starry Heaven is always in the Equinoctial part of the Earth, for the Meridian Altitude of the Stars in the Equinoctial, is the Ele∣vation of the Equinoctial in all Parallels. Now there is a necessity, that the Declination of the Sun should be Calculated for every day in the year, in regard of his Declination towards his Pole, 23 d. 30 m. which is the cause the Sun alters his Parallels and Amplitudes, and Meridian Altitudes, every day.

But for the Starry Heaven, its Declination or Distance from the Equinoctial is the same for ever, and keeps it Parallels with the Earth.

Another Example from the Sun, to prove the Earth the Center of the Starry Hea∣ven.

MOst Mathematicians hold, that when the Sun is depressed below the Horizon 15 Degrees, that Twylight appears upon the Horizon; the 〈1+ pages missing〉〈1+ pages missing〉

Notes

• * 1.1

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• * 1.2

  ☜
• * 1.3

  ☞