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.

Here at London I would make a Dyal upon a Plane Declining from the South Eastwards 30. degrees, and Reclining from the Zenith 20. degrees; Londons Latitude is 51½ degrees: There∣fore, Having on the Plane discribed a Semi Circle, &c. as was directed Prob. 4. I Rectifie the Globe, Quadrant of Altitude, Colure, and Hour Index, as by the same Probleme▪ and bring the lower end of the Quadrant of Altitude to 30. degrees from the North point of the Horizon towards the West, because that is the degree opposite to the degree of the Planes Declination, viz▪ to 30 degrees from the South Eastwards, And I bring the middle of the Gnomonical Semi Circle to 20. degrees of the Quadrant of Altitude counted from the Zenith downwards towards the Ho∣rizon, and the ends of the Gnomonical Semi Circle to the degrees of Azimuth the Plane lies in in the Horizon, viz. to 30. degrees from the East point Northwards, and to 30. degrees from the West point Southwards, so shall 11. degrees 10. minutes of the Gnomonical Semi Circle be comprehended between the Qua∣drant of Altitude and the Brasen Meridian: These 11. degrees 10. minutes shews that the 12 a clock line is distant from the Perpendicular A B 11. degrees 10. minutes: and because the Plane Declines to the Eastwards, therefore the 12 a clock line must stand on the West side the Plane 11. degrees 10, minutes. Then to find all the Fore Noon Hour lines,

I turn the Globe East-wards till the Index points to	11	a clock, or till 15, degr. of the Equa∣tor pass through the Meridian, and find the Colure cut the Gnomonical Semi-Circle in	15. 8	counted from the middle of the Gnomonical Semi Circle.
10	18. 56
9	22. 37
8	26. 52
7	32. 37
6	42. 5
5	62. 43

And these are the distances of the Fore Noon Hour lines; to

which distances you may set Pricks on the West side the Semi Circle of the Plane, viz. from B to C.

The After Noon Hour lines are found by bringing the Colure again to the Meridian, and the Index of the Hour Circle to 12. for then

turning the Globe West∣wa••s till the Index points to	1	a clock, or till 15 degr. of the Equator pass throug the Me∣ridian, I find the Colure cut the Gnomon, Semi-Circle in	5. 45	counted from the middle of the Gnomon. Semi-Circle.
—	—
2	2. 54
3	20. 52
4	64. 36

And these are the distances of the After-noon Hour-lines; and must all but the 1 a clock Hour-line be prickt down at their re∣spective distances on the East side the Plane, viz. from B to D: But because the Colure comes not to the middle of the Gnomoni∣cal Semi-Circle before the first 15. degrees of the Equator pass thr••ugh the Meridian after 12. therefore the 1 a clock must stand 5▪ 〈◊〉〈◊〉 ••5. 〈◊〉〈◊〉 on the West side of the Plane: And for this cause I 〈◊〉〈◊〉 ••••••tinction with a line between the 1 a clock

[illustration]

and the 2 a clock, in the foregoing Table. Then I draw lines from the Center A through every one of these pricks in the Semi-Circle, and they shall be the Hour lines of this Declining Reclining Plane.

Having drawn the Hour-lines, I remove the Quadrant of Al∣titude to the degree of the Horizon opposite to the degree it was at before, viz. to 30. degrees from the South Westwards, which is so much as the Plane declines Eastwards; But I let the Gno∣monical Semi Circle stand as it did: And turning about the

Globe till the Colure cut the Quadrant of Altitude in 20. de∣grees counted from the Horizon upwards, viz. the degrees of Re∣clination, I find 18. degrees 40. minutes contained between the middle of the Gnomonical Semi Circle and the Brasen Meridian, which is the distance of the Substyle from the Perpendicular; And I find the Gnomonical Semi Circle cut the Colure in 13. degrees 49. minutes from the Pole, which is the Height that the Style must be raised over the Substyle; Therefore I prick off in the Semi Circle on the Plane, the distance of the Substyle 18. de∣grees 40. minutes from the Perpendicular Westwards; because this Plane declines Eastwards: And from the Center A, I draw through that prick the line A E, which shall be the Substyle, and from this Substyle (either way) I count in the Semi Circle on the Plane 13▪ degrees 49. minutes, and there make a Prick: Then from the Center A, I draw through that Prick the line A F, to represent the Style or Gnomon: Then I let fall the Per∣pendiculer F G upon the Substyle A G; So is 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.

Having made this Dyal, you have made four several Dyals, whereof this is one: And his opposite, viz. North Declining Westwards 30. degrees Inclining to the Horizon 70. degrees is another. The South Declining Westwards 30. degrees Recli∣ning from the Zenith 20. degrees is another: And his opposite, viz. North Declining Eastwards 30. degrees Inclining to the Horizon 70. degrees is the other.