Having any Point on the Surface of any Globe, which Point is fuppofed to reprefent a Place on the Earth (or having a Semicircle thereon), to find feveral Points on the Globe, and Lines which are fituated to the given Point, and among themselves as the Places or Lines on the Superficies of the Earth, which they reprefent, are fituated.

The first Method.

'TIS an excellent, easy, and accurate Method, by which, having the Latitude and Longitude of Places on the Superficies of the Globe, the Points and Places fought, reprefenting the Parts of the Earth's Surface, are marked down. And tho' Artificers do not use this Method when they make the terreftrial Globes that are fold in great Number, (because it may be done another way, the large Sale of them answers the Expence, tho indeed it is not the more easy and lefs expensive way for making one Globe, yet most ready and less expensive for making a great many, of which we shall speak in the third Place); yet the Foundation of that Conftruction depends on this Defcription conceived on the Globe and fo in like manner when large Globes of Brafs are to be made, and the Places of the Earth to be marked on them, fuch as Princes ufe to have, who are Lovers of Mathematics. And thus lately the Dutch East-India Company ordered to be made, by the Direction of Blave, a Globe of Brafs, whose Diameter was five Foot; and on it was to be engraved, and illuminated the chief Places of the Earth, which was fent as a Present to the King of fome Island there, from the faid Company; the King having defired the Dutch Conful, that he would take care to have fuch a Globe made in Holland, promifing a large Reward for it. So likewife at this prefent Time the famous Frederic Duke of

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Holface,

SECT. VI, Holface, who is not only a Favourer and Promoter of all kinds of Learning, especially Mathematics and Phyfics, but also a great Improver thereof: and 'tis for his Honour that I here mention that he ordered a Globe to be made of fo large a Cavity, that one might commodiously fit in it, and fee all the fixed Stars on the concave Surface within, marked with a Gold Colour, and the Sun in the Ecliptic, moving by a Skrew; which in the mean time revolved in twenty four Hours, by a small Inftrument added to it: fo that the Spectator within had fuch a View of the Celeftial Bodies, as we have by Night in the Heavens: and the outward Surface (to come to our purpose) had the Places of the Earth on it; fo that it was both a Celestial and Terreftrial Globe. When we fay that the Places are to be marked on fo large a Globe of Brass, Artificers cannot use their way by the Application of paper Maps: nor were it proper to do fo in making fuch fine Globes; for the Places must be cut out and illuminated, and the Circles and Rivers marked as they are on the Earth; and that by the Table of Latitude and Longitude; using also a common Globe for giving the Rivers Course, and the Bounds of the Sea and Land.

THRO' a given Point, or one taken at pleafure, let there be drawn a great Circle for the Meridian of the Place; then take therein an Arc from that Point equal to the Latitude of the Place reprefented by that Point, and mark the Limit: then from the fame Point on the other Side, in the fame Circle, take an Arc equal to the Complement of the Latitude, or Distance of the Place from the Pole; and the Extremity of this Arc will be the North or South Pole, and the other will be in the Parallel of the Place from which on the Meridian fet the Latitude, which will give the Equator. Then take on the Meridian the other

Pole, and let there be an iron Rod run thro' the two Poles; and on the ends of it let there be a Circle of Brafs hung, divided accurately into three hundred and fixty Degrees, or four Quadrants, each Quadrant beginning the first Degree at the Equator, which must be alfo divided into three hundred and fixty Degrees; and the great Circle drawn on the Globe, may represent the first Meridian: or if you take another, let the Longitude of the Place, first set down, be fet on the Equator; and at the end of the Arc draw another Circle for the first Meridian, to the Weft of the former, counting the Pole furtheft from you the North; and you will have the East Part of the Globe on the right Hand, and the Weft on the left; and mark the Degrees on the Equator, ten, twenty, thirty to the right Hand, and fo round; then taking the Longitude of a Place from the Table, bring the Degree, and Minute if poffible, under the brafs Meridian, and count the Latitude of the Place North or South; and where it ends mark the Point on the Globe under it for that Place, and fo for all other Places.

YET this way is not to be wholly followed in Practice; for to make a Globe true, there fhould firft an Axis be run through, the ends of which must be the two Poles, and the firft Meridian be first drawn. Tho' 'tis feldom that large Globes are made thus from Tables; but in the common way by Paper Maps, or by taking the Latitudes and Longitudes from leffer Globes, as Blave did in the great one fent to the East-Indies.

The fecond Method.

THIS Method is to be used chiefly when a few Places only are to be marked on the rather than for making a Globe entirely

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Globe but it

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SECT. VI. makes ufe of the Distances of Places. Let there be an Arc of a great Circle, drawn thro' a Point given; and on it take an Arc from the given Point equal to the Distance; the end of that Arc will be the other Place: and to mark a third Place, take with the Compaffes the two Distances of that third Place from the other two, and having, from the two Places as Centers, described two Arches cutting one another, the Point of Interfection will be the third.

BUT this Method is not proper for the making of the whole Globe, but only when we would mark a few Places on a Globe, which had been omitted; which is easily done by the two Distances, without the Trouble of calculating their Latitudes and Longitudes. So that the Problem is this, Having the Distance of a Place from two other Places that are found on the Globe, to mark that Place on the Globe.

The third Method, commonly used by Artificers.

THIS third Method of making all the Globes we fee (excepting the great ones above spoken of) both Celestial and Terreftrial, is indeed not very eafy or quick, if there were only one or a few Globes to be made by it; but is very ready for making fuch a great Number of them as is fold, and is thus: Let the Superficies of the Globe and Earth be conceived as divided into twelve Parts or more, if the Globes be large, by Meridians drawn from Pole to Pole; then let there be drawn one of thefe Parts on a Plane, terminated with two Meridians, which will make on the Globe two Semicircles of two Meridians; and a great many Meridians been drawn thro' each Degree on the Equator, and thefe cut by many Portions of Parallels of Latitude thro' the Degrees on the Meridians

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in the form of a Latitude, the middle one will be a Portion of the Equator, and the Meridians are to terminate in the Poles: and taking one for the first Meridian, mark the Degrees of Longitude on the Equator, thirty on the firft Part, and from that to fixty on the other Part, and fo on; thus you may find the Longitude of any Place, and it's Latitude, meeting in a Meridian and Parallel, cutting one another. And the fame way the feveral Parts of a River or Bay may be marked; and let the fame be carved out in Brafs or Wood, and by a Rolling Prefs fome thousands of them may be imprinted on Sheets of Paper; and the Parts cut out and applied to the Globe; fo as the Meridian of the one may join that of the other, to make one Meridian on the Globe: and the Meridians need not reach fo far as the Pole, but only to the polar Circle; and the Parts about the Poles may be covered with Papers made on purpose for them; for it will be easier to apply them that way, especially if they are large Globes. Thus are all the Places on the Earth exhibited on the Globe; and the brafs Meridian, with the Horizon, Standard, Horary-Circle, and Index, are made for the Globe.

THERE are two Things in this Defcription that require a more full Explanation; the rest I think being easy. 1. How thefe twelve or twenty four Parts are defcribed on a Plane. And, 2. how plain Papers can be applied to the curve Superficies of a Globe. The firft is done eafy enough. Thus, for Example, Let the twelfth Part be to be made for the Globe from the Pole to the Equator; find the Periphery of a great Circle for the given Diameter of the Globe by Archimedes's, or any other, Proportion. The Diameter being two Foot, the Length of two Foot marked on the Paper, and each Foot divided into ten Inches, and each Inch into