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.

PROB. XIII.

To make a Dyal upon a Declining Inclining Plane.

THe Precepts for making these Dyals are delivered in the foregoing Probleme: Therefore we shall at first come to an Example.

I would make a Dyal upon a Plane in Londons La∣titude Declining from the South Westwards 25. degrees and In∣clining towards the Horizon by the space of an Arch containing 14. degrees. Having first discribed on the Plane a Semi Cir∣cle, 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 the degree of the Planes Declination, viz. to 25. degrees counted from the South Westwards, and the ends of the Gnomonical Se∣mi Circle to the degree of Azimuth the Plane lies in, viz. to 25. degrees from the West Northwards, and the middle of the Gnomonical Semi Circle to the degree of the Planes Inclination, viz. 14. degrees counted from the Zenith downwards on the Quadrant of Altitude, Then counting the degrees of the Gno∣monical Semi Circle contained between the middle of the same and the Brasen Meridian, I find 5. degrees 30. minutes: These 5. degrees 30. minutes shews the distance of the 12 a clock line from the Perpendicular; Therefore I number in the Semi Circle discribed on the Plane, from the Perpendicular Westwards, (Be∣cause the middle of the Gnomonical Semi Circle lies Westwards on the Globe) from the Meridian▪ And for finding all the Fore-Noon Hour-distances

I turn the Globe East-wards till the Index points to	11	a clock, or till 15 degr. of the Equa. pass throug the Meri∣dian, and find the Colure cut the Gnomon, Semi-Circle in	20. 5	counted from the middle of the Gnomon. Semi-Circle.
10	36. 57
9	56. 24
8	76. 31

And these are the distances of all the Fore Noon Hour lines; to which several distances I make pricks on the West side the Semi Circle on 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∣wards till the Index points to	1	a clock, or till 15. degrees of the Equa∣tor pass through the Meridian, I find the Colure cut the Gno∣monical Semi-Circle in	6. 20	counted from the middle of the Gnomoni∣cal Semi Cir∣cle.
2	18. 2
3	28. 45
4	39. 56
5	52. 30
6	67. 19
7	84. 13

And these are the distances of the After Noon Hour lines, which I also prick down at their respective distances from the Perpen∣dicular Eastwards, viz. from B towards D on the Plane; and by drawing lines from the Center A through all the Pricks, I have all the Hour lines that this Plane will admit of.

Having drawn the Hour lines, I remove the lower end of the Quadrant of Altitude to the degree of the Horizon opposite to the degree it was at before, viz. to 25. degrees from the North Eastwards, which is so much as the Declination is Westwards; but I let the Gnomonical Semi Circle stand as it did, and turn about the Globe till the Colure cut the Quadrant of Altitude in 14. degrees counted from the Horizon upwards, which is the Inclination of the Plane: Then I find 24. degrees 3. minutes comprehended between the middle of the Gnomonical Semi Circle and the Brasen Meridian, which is the distance of the Substyle from the Perpendicular: and this distance I count West∣wards on the Plane▪ because the middle of the Semi Circle lies Westwards on the Globe and draw the line A G through it for the Substyle: And I find the Gnomonical Semi Circle cut the Colure in 48. degrees 5. minutes▪ for the Heigth that the Style must be Elevated over the S••bstyle: Therefore I make a prick on the Plane 48. degrees 5 minutes distant from the Substyle, and through that prick I draw the line A F to represent the Style or Gnomon; Then I let fall the Perpendicula•• F G upon the Sub∣style A G, so is there a Triangle made; which if it be erected

[illustration]

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 also four Dyals made; as well as in the former Probleme: For this is one▪ and its opposite viz. North declining Eastwards 25. degrees Reclining 76. de∣grees is another; The South declining Eastwards 25. degrees

inclining 14▪ degrees is another; and its opposite, viz. North de∣clining Westwards 25. degrees Reclining 76. degrees is another;