A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.

Example.

I would make the South Dyal Declining East 27. degrees, as in Prob. 9. by the Plane of the Horizon: First I seek in what Place of the Earth it shall become an Horizontal Plane: Thus, I Elevate the Pole of the Globe 51½ degrees above the Horizon, and bring the Vernal Colure to the Meridian, then I count from the South point in the Horizon Eastwards 27. degrees, and on the point on the Globe directly against those 27. degrees I make a prick for the Place where a Plane that declines 27. degrees from the South Eastwards at London shall be Horizontal; or which is all one, this Declining Plane at London shall ly in the Horizon of that Prick: This Prick for distinction sake we shall hereafter call the Horizontal Place: Then by Prob. 1. of the Se∣cond Book, I examine the Latitude and Longitude of this Hori∣zontal Place, and find Latitude 33. 40. South; and Longitude from the Colure 33. degrees, which is the difference of Longi∣tude between London and the Horizontal Place: which being converted into Time by allowing for every 15. degrees 1. hour of Time, gives 2 hours 12. minutes that the Sun comes sooner to the Meridian of the Horizontal Place, then to the Meridian of the Plane at London: so that when it is 12 a clock there, it will be but 9. a clock 48. minutes here; when 12 a clock here, it will be 2 a clock 12. minutes There, &c.

Having thus found in what Longitude from London and Lati∣tude this Plane is Parallel to the Horizon, I seek the distances of the Hour-lines upon the Planes of the Horizon Thus, I Elevate the Pole of the Globe to the Height of the Pole in the Horizontal Place, viz. 33. degrees 40, minutes, and bring the Horizontal Place on the Globe to the Meridian, and the Index of the Hour Circle to 12. Then I examine the degree of the Horizon the Co∣lare cuts, and find it 19¾ from the South Westwards. This 19¾

degrees respresents the Meridian line of the Horizontal Place: And also the Substylar line here at London; Therefore this 19¾ degrees I count from the Perpendicular A B of the Plane, and from the Center A draw the line A G through them; Because from this line on the Plane all the Hour lines must be numbred, and not (as all along hitherto) from the Perpendicular of the Plane, Then

turning the Globe East-wards till the Index of the Hour Circle points to	11	a clock, or till 15. degr. of the Equa∣tor pass through the Meridian, I find the Colure cut the Horizon in	10. 2	from the Meri∣dian.
10	0. 45
9	6. 12
8	15. 25
7	26. 11
6	40. 30
5	60. 0

And these are the distances of the Forenoon Hour lines: which distances I transfer by pricks to the Plane. But as in Prob. 9. I sought the distances from the Perpendicular on the Plane, so now in this Case (as was said before) I seek them from the Substyle, and through these pricks I draw lines from the Center, as in other Dyals, and these lines shall be the Fore Noon Hour lines.

To find the Afternoon Hour distances, I bring the Horizontal Place on the Globe again to the Meridian, and the Index of the Hour Circle to 12. and

turning the Globe Westwards till the Index points to	1	a clock, or till 15 degr. of the Equator pass through the Me∣ridian, I find the Colure cut the Horizon i••	31. 5	counted from the Meridian.
2	46. 32
3	68. 5
4	95. 37

And these are the distances of all the Afternoon Hour lines; which I also transfer to the Plane, counting them from the Sub∣style, and draw lines from the Center A through these distances; and these lines shall be all the Afternoon Hour lines.

Then from the Substyle I count the degrees and minutes of the Latitude of the Horizontal Place, viz. 33. degrees 40. mi∣nutes, and through these degrees and minutes I draw the line A F from the Center A, for the Style: Then from the Style I let fall the Perpendicular F G upon the Substyle, so is there a Triangle made; which if it be erected Perpendicularly upon the Substyle A G, the Style A F shall be Parallel to the Axis of the World, and cast a shadow upon the Hour of the Day.

3. If your Plane be a Direct Recliner, Seek in the Longitude of your Place the Complement to 90. of your Planes Reclination▪ For there a Direct Recliner becomes an Horizontal Plane.

4. If your Plane be a Declining Recliner: The Globe and Quadrant of Altitude Rectified, Bring your Habitation on the Terrestrial Globe to the Meridian, and the Quadrant of Altitude to the Declination, as by the second Rule in this Probleme; and count upwards on the Quadrant of Altitude the Reclination, and there make a prick on the Globe by the side of the Quadrant of Altitude, for at that prick on the Globe the Declining Recliner shall become an Horizontal Plane. Then examine the Latitude of that prick as by Prob. 1. of the second Book, and the difference of Longitude, as by Prob. 9. of the third Book: And convert the difference of Longitude into Time, by allowing for every 15. degrees 1. hour: Time, for every degree 4, minutes Time, and so proportionably, so shall you know what Hours and Minutes the Sun comes sooner or later to the Meridian of your Habitation then to the Meridian of that Place where it becomes an Hori∣zontal Plane: Sooner, if the Globe were turned Eastwards; but Later if it were turned Westwards.

Having thus found out where this Plane becomes Horizontal, make your Dyal to this Plane, as by the second Rule in this Probleme: Find also the Style as is there directed.

5. If your Plane be a Declining Incliner, The Globe and Quadrant of Altitude Rectified, Bring the Colure to the Meridi∣an, and the Quadrant of Altitude to the degree of the Horizon opposite to the degree of the Planes Declination, and count up∣wards on the Quadrant of Altitude the degrees of Inclination, and make a 〈◊〉〈◊〉 there; For in the 〈◊〉〈◊〉 of that prick (found as by 〈◊〉〈◊〉 〈◊〉〈◊〉, of the Second Book) that Declining In∣〈◊〉〈◊〉 shall become an Horizontal Plane. Then find the Lati∣tude and difference of Longitude of this 〈◊〉〈◊〉▪ by the 〈◊〉〈◊〉 〈◊〉〈◊〉 and make a ••yal to that 〈◊〉〈◊〉 by the second 〈◊〉〈◊〉 in this Probleme. Find also the Style as therein is directed.