The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.

The Four Scituations that are in the Globe.

The First Scituation.

AE is a Point of Intersection for the Mouth of the River of Amazones, Z Lundy, CRV the Obliquity 62 deg. 16 min. E the other Point of Intersection with the Aequa∣tor, NRV the measure of the Angle of Position. which applied to the Aequator from AE inwards, shews you 27 deg 50 min. from Amazones to Lundy. Now if you will know the Distance in such Questions, measure it in the Meridian that agrees with the Angle of Position; as namely, for this Distance AEZ, you must measure from N in the Meridian-line of 27 deg. 50 min. and you will find it 61 deg. 57 min. And so do for to measure any other Distance.

The Second Scituation.

I is the first Places Latitude, ♈ is the Difference of Longitude 52 deg. 55 min. ♈ is likewise the second Places Latitude; and ♍ H is the measure of the Angle of Position, which measured in the Semidiameter AEC, will be found 68 deg. 46 min. In that Meridian measure l r the Distance, and you will find it from N towards C, to reach 32 deg. 18 min. Remember to measure the Distances from the Poles in the same Meri∣dian, of the Number of Degrees of the Angle of Position: The greatest Obliquity of that Circle N r l is at W 54 deg. 25 min. Intersection of the Aequator at Y, W is a Meridian of greatest Obliquity.

The Third Scituation.

L is the first Places Latitude 51 deg. 22 min. North; E p is the Difference of Lon∣gitude 45 deg. 55 min. R is the second Places Latitude, or Rio de Plata, ▵ the greatest Olliquity 68 deg. 22 min. m n the Measure of the Angle of Direct Position: applied to EC will be found 36 deg. 02 min. in that Meridian: from the Pole measure the Di∣stance LR, and you will find it 95 deg. 18 min. P the Intersection of the Great Circle, passing over the two Places in the Aequator.

The Fourth Scituation.

The first Latitude is at L Lundy 51 deg. 22 min. Difference of Longitude counted from E 52 deg. 55 min. that Meridian will cut the Latitude of Barbadoes 13 deg. 10 min. at b: M ♓ the Measure of the Angle of Direct Position 67 deg. 51 min. and b L measured in that Meridian is 57 deg. 00 min. the Distance. Now to know the Angle of Position from Barbadoes, being Westward from Lundy, set it on the West side of the Figure, as at B; and likewise if the first Place be to the Eastward, put his Latitude to the East side of the Meridian.

Now to know the Angle of Position from Barbadoes, and Distance, and Obliquity, B □ O is the Arch of the Great Circle that passeth over these two Places; □ is Lundy, q h is the Measure of the Angle of Position 36 deg. 26 min. B □ measured in that

Line, you will find the Distance 57 deg. O is the greatest Obliquity 54 deg. 40 min. NO ☉ S a Meridian of the greatest Obliquity: d is the Intersection with the Aequator.