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If you want a fouth dial to incline by any number 
of degrees, as fuppofe 16, draw the line Dz, making 
an angle of 1 6 degrees with the perpendicular DE, 
in fig. i. Then Dz (hall be the femi-tranfverfe axis 
of the ellipfe, and C6 the fern i- conjugate : and 
right lines drawn parallel to DP XII quite through 
the femi-ellipfis, from the points *** in D.z, where it 
is cut by the parallel lines 5 7, 4 8, 3 9, &c. fhall cut 
the femi-ellipfis in thole points through which the 
hour-lines muft be drawn, as from G in the upright 
fouth dial, fig. 3. 
If vou want to make a reclining fouth dial, draw 
the line DH (fig. 1.) making an angle with the per- 
pendicular DE equal to the intended angle of recli- 
nation, and produce DH and CE till they meet. 
From D to that meeting, will be the length of the 
femi-tranfverfe axis of the ellipfe, and from C to 6 
the length of the femi-conjugate : which being 
found, proceed in all refpe&s as above for the- fouth 
upright dial. 
To draw the ellipfis, and find the hour-points in it, 
cbferve the following method. 
Fora horizontal dial, as fig. 4. Make the radius 
AK of the circle BKDL equal to AD in fig. 1. and 
crofs the circle at right angles by the two diameters 
BAD and KAL, and divide the circle into 24 equal 
parts, beginning at B. Conned: thele points of 
divifion, which are equidiftant from B, by the right 
lines afi bg, cb , &c. all parallel to KAL, as in the 
figure. 
Make the radius AG of the circle FGHI in fig. 
4. equal to CF in fig. 1. and divide FGHI into 24 
equal parts, beginning at I. Then through thele 
points 
