&Tic;HE design of the Ensu&rehy;ing Treatise, is a short Account of the Nature and Use of Maps; a knowledge of great advantage to several sorts of People; and the princi&rehy;pal branch of that noble Science of
For by this Science the
Lastly, I have added a Cata&rehy;logue of the Places and Facto&rehy;ries now in possession of the
&Tic;HE
This Globe by its (or the Suns) two&rehy;fold motion, enjoys the grateful Vicis&rehy;situdes of Day and Night, Winter and Summer; the first, by turning upon its own Axis once in 24 Hours, and the second, by having the said Axis car&rehy;ried about the Sun in the space of one Year, by some unknown prin&rehy;ciple of Nature, during the time of its other Revolution; and this Axis not being perpendicular to the plain, in which the said Annual Motion is performed, causeth one Hemisphere to have more of the Sun's Light for one half Year, and the other Hemisphere for the other.
&Aic; Globe, or Sphere, is a perfect round solid Body, contained un&rehy;der one Surface, in the midst of which is a point call'd the
Of this Form and Figure is the whole Earth and Sea, as we have reason to con&rehy;clude, from several undoubted Obser&rehy;vations and Experiments, the principal of which follows.
Fourthly, Viewing from the shoar a Ship a good distance from you, at first you shall only perceive her Top-sails, but as she approaches nearer, you shall see her Lower-sails, and at last her Hull, which I think is an Evident Proof of the Earth's Sphericity; for did not the Glo&rehy;bosity of the Water interpose betwixt our sight and the Ship, we might more easily see her Hull than her Top-sails at first.
And it may further be observable, that was not the Earth Globular, but a long Round-flat, as some have foolishly im&rehy;agined, then these absurdities would follow,
The Elevation of the Pole, and Height of the Stars, would be the same in all places.
The same appearance of the Heavens would be to all Inhabitants.
The Sun, Moon and Stars would Rise, Culminate, and Set, to all places at the same time.
Eclipses would appear to all People at the same time.
The Days and Nights would be of the same length to all parts, neither would there be Day in one place, when there is Night in another.
Shadows would be alike in all places, that is, all of them would be one way, neither would one Country be Hotter or Colder than another.
But though we thus endeavour to prove the Earth round, yet it must not
&Tic;HE Earth and Water being of this Form, we shall in the next place enquire into its Extent, for the effecting of which, several Essays have been made, to find either its Circumference or Dia&rehy;meter; for when one of them is gotten, the other is easily known, and by ha&rehy;ving them both, its Surface and Solidi&rehy;ty may be nicely Discovered.
Now, as their Conclusions has been different, so has the ways by which they have endeavoured to attain them.
A Fourth and surest way which has been try'd by most Nations, is, that of measuring
According to this Method, did Mr.
&Tic;HE Earth being in the Form be&rehy;fore Described, Astronomers have form'd an Artificial one in representation thereof, on which they have Pictured both Sea and Land in all their parts, and according to their Scituation so far as is known, a type of which is here deline&rehy;ated, where the straight Line 90.90.90 in one Hemisphere is the Axis of the of the World, the Arches 80.80; 70.70;
Now this Meridian from whence we begin to reckon the Longitude, has been differently assigned by several Nations, for the
The
So that Longitude is the distance of a place reckoned in the Equator, from the Meridian, which passes through that place you begin your Longitude from.
An
A
&Tic;HE Ocean, or Main Sea, is that vast body of the Water, that en&rehy;virons, or surrounds, the
&Mic;APS are only the Pictures, or Representations of any part, or parts, of the Globe in Plano, that is, they are a Perspective Draught either of the whole, or else some particular place, or part of the Earth: For suppose the Earth was Transparent, and the Eye to be placed some where in the Equator, and that at Right Angles, to the Line passing from the Eye to the opposite part of the Earth, a Plain be conceived to be placed cuting the Earth into two equal Parts, that is passing through the Earth's Cen&rehy;ter; then I say, if from the Eye Rays be im&rehy;agined to pass thro' the said Plain, to eve&rehy;ry Physical Point in the obverse Hemi&rehy;sphere of the Earth, these Lines shall pro&rehy;ject Points upon the said Plain, which, if join'd, will give the true Picture of one
According to this Representation, there is Geometrick Rules laid down, for Projecting and Delineating the Cir&rehy;cles and Lines as they thus appear to the Eye, whether 'tis upon the plain of a Meridian, which makes the common Hemispheres, or else upon the Equator, which is that we call the
As for the Geometrick Directions, for teaching how to draw these Circles and Lines, as they thus appear to the Eye, either upon the plain of the Meridian, or Equator, I shall not here show, be&rehy;cause it properly belongs to the Projecti&rehy;on of the Sphere.
&Bic;UT supposing it done, I shall di&rehy;rect you how to lay down places upon the Hemispheres, having therefore compleated a Projection of the Imagina&rehy;ry Circles,
By this Artifice, may the one half of the Earth's Surface, by taking several points, be delineated in Plano, just as
If you would make a Map, but of some large part of the Earth, such as
&Mic;APS that are Projected after this way, ought to be but of small places, that is, such which have scarce a sensible proportion to the whole Surface of the Earth, else they will be very Erronious, because the least portion of the Earth's Surface is Spherical, which, if we consider, and take for plain, as we do in this Case, must needs be false; but for small places lying either upon the Equator, or within few Degrees of it, they may without much Error be thus Represented, their Surface being very little differing from a true Plain.
In order therefore to make a Map of some such place, consider both the dif&rehy;ference of
It will be necessary also to subdivide each Degree into 6. 10. or more equal parts, as the largeness of the Degree will permit; after which, prefix both to Top, Bottom, and each side the Num&rehy;bers, Corresponding to the Latitudes and
&Tic;HE Plan being thus prepared, and a Table of the
Suppose one point of the place you design a
As for places that lie in great
The Proportion for finding the Quan&rehy;tity of a Degree, in any Parallel, is this;
&Iic;N most of the
In
When any Map is placed right before you, then take Notice, That the bot&rehy;tom part, or part next to you, general&rehy;ly is the
Hence 'tis Evident, That you must al&rehy;ways seek for the
Observe also in Maps of
The
The
But in Maps, there is generally an Explanation of the
Take Notice likewise, that to several Maps, there are three sorts of Scales, to which are prefixed the names
&Tic;Here is but two Methods of find&rehy;ing out places in any Map, the one is by
As to the first of these, there is one grand difficulty in it, which is upon ac&rehy;count of beginning the
But however, because it is otherwise at present, I shall incert a Table, shew&rehy;ing the difference of
Suppose in the Sheet-map of the World, that is, in the small Hemisphers, I would find out
And here, Note, That if in your
As for Example; Suppose I look in a Map for
The second way how places may be found, is thus: Suppose I would find
There is another way for finding out places upon Maps, but it is peculiar, and serves only some sort or kind, the me&rehy;thod of it is thus: The Maps are (by lines drawn Parallel to the sides thereof) divided into certain long Slips, or Spaces, about an Inch broad; which spaces is a&rehy;gain sub-divided into small Squares, by other lines drawn Parallel to the top and bottom near the same distance of the former.
On both sides of the Map, against each Space, is set Letters, as
But in most of these sort of Maps, there generally is Directions for the u&rehy;sing of them, Printed in some vacant place of it.
―&Fic;
If the places be not in any of the Po&rehy;sitions aforesaid, but differ both in
Suppose the distance was required be&rehy;twixt
There is another way which is sometimes used for measuring Distances upon these general Projections. But it is not so exact the former, and therefore not to be used where nicety is required. The method of performance is thus.
Take the Distances of the places (as they lie in the Map) betwixt your Compasses; this Extent apply either to the
And here Note, That the farther di&rehy;stant places are, the greater is the Error, and contrary,
This method is to be used only upon Maps of the Quarters, and great Em&rehy;pires or Kingdoms; such as,
Other ways there are for finding the distance of places, both as they lie in the
&Dic;Istances are easily Measured on these sort of Maps; for having found the two places on the Map, whose Distance you require, set one foot of the Compasses in one place, and extend the other foot to the other; this Extent ap&rehy;plied, either to Bottom, Top, or sides of the Map, shews you how many De&rehy;grees they are distant, which multiplied by 70, gives their distance in
But generally to these kind of Maps, there is annexed a Scale of Miles, so that having the distance betwixt any two places, 'tis but applying it to this Scale, and you have the Miles they are distant by inspection.
&Aic;
The
The
The
&Tic;He
Those that live under the
The
&Tic;Hose People living put under the
&Tic;HE Inhabitants of the Earth com&rehy;pared with one another in respect of their Scituation, are
The
The
To the
In the East of
In
In the
On the Coast of
In
In
In the Island
In
In
On the Coast of the
On the South Coast of
In New Jersey
6 of the
To the 6 of the
In
In
New Spain,
in
Terra Firma,
Peru,
To the
upon the
in
Goa
in
Already mentioned.
In
In
To the
in the
Some Forts in
In The Trade of
in
In in
in
Some of the Antilles
To the
Are several Factories.
In
near Cape
In
To the
In
These are the Principal
&Aic;LL sorts of Spheres, Globes, Maps, Chards, Mathematical Books, and other Instruments, are Sold by
&Aic;LL sorts of Mathematical Instruments both for Sea and Land, are most Correctly Made, and Sold, by