10 New Principles of Gardening. 
draw Right Lines infinitely, make ¢g and ¢w equal to 2”, 
and draw gw; then will gw (which is equal to 2) be divi- 
ded in fuch Proportion as ab. E. F. 
PROBLEM XVII. 
O deferibe Spiral or Serpentine Lines, either fingle, dou- 
ble, treble, or quadruple. 
Single spi- Practice. (1.) Draw the Line 1, 2, at Pleafure, and bifeét it 
ral Line. in y, on which, with half the affigned Diftance of the Line, (fup- 
Dealer. pofe ax,) defcribe the Circle vw, and bifect vy and yw in 
z and x, which are the two Centers on which the Line is de- 
{cribed, as follows: On » defcribe vt, on 2, 25, on x, 549, 
and on 2, 97, Sc. and fo in like manner, you may turn the 
faid Line abdut as often as required. 
Doublespi- 2.) Draw the Line 3, 4, at Pleafure, and bife& it iny, and, as 
Fig. XX. in the preceding, defcribe the Circle rw, and its Centers x, x, 
which being done, on the Center x defcribe wg, and on z 
defcribe rv; alfoon x, up, andon 2, gf, and ps, and, fo 
in like manner, on x, the Arches to and sv, 6c. 
Treble Spi- (3-) Make the Equslateral Triangle ab m, with its Sides, equal 
Pie, Xi to the given Line xa, and by Pros. V. divide all the dugles, 
“and draw the Lines, a11, fw, 67, 28, m9, ando1o. Onm 
with the Radius mb, defcribe the Arch 6c, on @ the Arch 
me, and on 6 the Arch ad; then on 0, with the Interval 
0c, deferibe the Arch cg, on f the Arch ¢4 and on #the Arch 
dn. Again on a, with the Interval ag, detcribe the Arch g 4, 
on 4 the Arch /1, and on m the Arch »v; then beginning 
again at 0, with the Interval ov, defcribe the Arch vx, on a 
the Arch xy, and on f the Arch yz, &c. and the like of 
others, to any Number of Revolutions required. 
Quadruple _(4-) Draw a Right Line at Pleafure, as gs, and bifeé&t it by the 
Slee Line zo, and draw de and ab, as alfo bc and ad, parallel to 
‘e**" the Lines 20, and sg, at the given Diftance of the Lines 5, 
6, interfecting each other in abcd, the Centers, on which the 
Lines are deferib’d, as follows, viz. on d defcribe the Arch 
hi, on athe Arch 2y, ond, mm, and on c, op; then 
beginning again at 4d, defcribe yk, at 2, wl, atb, pg, and 
atc, pfs and fo in like manner may be continued about to 
any Number of Revolutions required. PR OB- 
