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thefe lines as are needful to the horizontal line BAD, 
and to the vertical line DE. 
Continue E D down to d (fig. 2.) and draw bd 
parallel and equal to BD. Draw alio the right line 
A eca , from fig. 1. to fig. 2, and that the line will be 
perpendicular to the line bd in fig. 2. cutting it in thq 
middle point c. 
From fig. 1 . take C F or C D in your compafles ; 
and in fig. 2. fet that diftance from c to e upwards, and 
from c to a downwards, on the right line Aeca. So 
eca in fig. 2. fhall be equal to FCD in fig. 1. and 
bed in fig. 2. Ill all be equal to BAD in fig. 1. 
On thefe two lines bed and eca make the ellipfis 
bopqr> &c. according to the common rule for de- 
scribing an ellipfis upon the tranfyerfe and conjugate 
diameters bed and eca. Then, from thole points in 
the horizontal line BAD (fig. 1.) where the right 
lines. 1 ii, 2 10, 39, &c. meet it, as at d, e, f g t 
b , A, /, k, /, tn, n, draw the right lines do, ep, 
fq , gr, &c. quite through the ellipfis, and all par- 
allel to the right line Aeca. Then, from the mid- 
dle point c of the ellipfis, draw right lines to thofe 
points of its circumference where the forefaid parallel 
lines cut it; and they fhall be the true hour-lines fop 
a horizontal dial ; to which fet the hours, as in 
fig. 2. Laftly, in fig. 2. draw cy parallel to ACE 
in fig. 1. and cy fihall be the axis or edge of the 
lfile cdy that calls the fhadow on the time of the 
day. 
The horary fpaces, or angular difiances of the 
hours on the dial, being thus found, there is nooc- 
cafion for confining the hours thereon, or the lengths 
of the hour-lines, within the ellipfis ; for they may 
be 
